Answer: 0.1 decimal 1/9 fraction
Step-by-step explanation:
Answer:
0.1 or 1/9 i think so but I am sure
Wendy is told ahead of time that she will need to purchase about 12 gallons of paint in order to cover the entire house. Write equivalent ratios to determine the amount of green and white paint she will need to purchase.
Based on the information, Wendy will need to purchase 48 quarts of paint
How to calculate the ratioRatio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
Wendy is told ahead of time that she will need to purchase about 12 gallons of paint in order to cover the entire house.
The amount of paint needed will be:
= 4/1 × 12
= 48 quarts
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Wendy is told ahead of time that she will need to purchase about 12 gallons of paint in order to cover the entire house. a. Write equivalent ratios to determine the amount of green and white paint she will need to purchase. b. If there are 4 quarts in 1 gallon, how many quarts of paint does she need to purchase
Which triangles could not be similar to triangle ABC ? triangle a b c where angle b is a right angle. Side a b is 15 cm. Side b c is 8 cm. Side a c is 17 cm. Select each correct answer. Right triangle G H I with right angle at H. G H is 77 centimeters. G I is 85 centimeters. H I is 36 centimeters. Right triangle J K L with right angle at K. J K is 60 centimeters. J L is 68 centimeters. K L is 32 centimeters. Right triangle M N O with right angle at N. M N is 35 centimeters. M O is 37 centimeters. N O is 12 centimeters. Right triangle D E F with right angle at E. D E is 22. 5 centimeters. D F is 25. 5 centimeters. E F is 12 centimeters
Answer:
The triangles could not be similar to triangles ABC 15 cm, 17 cm, and 8cm will be option C and D because the other angle does not match.
What is a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The dimension of the triangle ABC is 15 cm, 17 cm, and 8 cm. And the triangle is a right-angle triangle. Then the other two angles are given as,
sin θ = 15 / 17
sin θ = 0.88235
θ = 61.93°
∅ = 90° - 61.93°
∅ = 28.07°
Let's check all the options. Then we have
A. 22.5 cm / 25.5 cm, then the sine of the angle is given as,
sin x = 22.5 / 25.5
x = 61.93°
B. 60 cm / 68 cm, then the sine of an angle is given as,
sin x = 60/68
x = 61.93°
C. 77 cm / 85 cm, then the sine of an angle is given as,
sin x = 77/85
x = 64.94°
D. 35 cm / 37 cm, then the sine of an angle is given as,
sin x = 35/37
x = 71.08°
The triangles could not be similar to triangles ABC 15 cm, 17 cm, and 8cm will be option C and D because the other angle does not match.
Correct me if im wrong :)
Prove, that 32^5-16^5+2^19 is divisible by 63.
I will award brainyist
[tex]32^5[/tex] - [tex]16^5[/tex] + [tex]2^{19}[/tex] is divisible by 63.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]32^5[/tex] - [tex]16^5[/tex] + [tex]2^{19}[/tex]
= 33554432 - 1048576 + 524288
= 33030144
Now,
33030144 ÷ 63
= 524288
Thus,
It is divisible by 63.
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PLEASE HELP ME SOLVE THESE!!!
(if I have answers in the answer box in the photo please ignore the answer I have in it)
Answer:
1. The volume of the composite figure is 10,164 [tex]cm^3[/tex].
2. The measure of ∠BCM is 59°.
3. The area of the given figure is 823.5 [tex]in^2[/tex].
4. The area of the given figure is 60 [tex]yd^2[/tex].
5. The area of the following figure is 22.5 [tex]m^2[/tex].
Step-by-step explanation:
1. In order to make finding the composite figure's volume easier, we can separate the figure into two rectangular prisms, find the volume of each, and add them together. If we make a horizontal cut across the top of the large rectangular prism, we would have two rectangular prisms: One with the dimensions 23 cm × 10 cm × 42 cm, and one with the dimensions 3 cm × 4 cm × 42 cm. Their respective volumes would be 9,660 [tex]cm^3[/tex] and 504 [tex]cm^3[/tex]. Therefore, the composite figure's volume is 9,660 + 504 = 10,164 [tex]cm^3.[/tex]
2. As ∠BCH and ∠MCD are vertical angles, we can conclude that 4g + 109 = 5g + 106. Based on this information, g is equivalent to 3, meaning both ∠BCH and ∠MCD have an angle measure of 121°. Since both angles form a straight angle with ∠BCM, we know that 121° plus the angle measure of ∠BCM is equivalent to 180°. Therefore, we can conclude that ∠BCM = 180 - 121 = 59°.
3. In order to make finding the area of the given figure easier, we can split the figure into three shapes: two rectangles and a triangle. The area of the large rectangle is 12 × 54 = 648 [tex]in^2[/tex], the area of the smaller rectangle is 12 × 9 = 108 [tex]in^2[/tex], and the area of the triangle is 15 × 9 × [tex]\frac{1}{2}[/tex] = 67.5 [tex]in^2[/tex]. Therefore, the area of the entire figure would be 648 + 108 + 67.5 = 823.5 [tex]in^2[/tex].
4. Like questions 1 and 3, we can cut the figure into a triangle, a rectangle, and a parallelogram in order to find the entire area easier. The area of the rectangle is 11 × 4 = 44 [tex]yd^2[/tex], and the area of the triangle is 5 × 4 × [tex]\frac{1}{2}[/tex] = 10 [tex]yd^2[/tex]. As for the parallelogram, it's important to note that in order to find the area of a parallelogram, you only need to multiply the length and the height together as you would for a rectangle. This is because you can cut any parallelogram and reshape it into a rectangle with the same dimensions, therefore the area of the parallelogram would be 3 × 2 = 6 [tex]yd^2[/tex]. Lastly, the area of the entire given figure would be 44 + 10 + 6 = 60 [tex]yd^2[/tex].
5. Lastly, we are given a triangle and asked to find its area. An important information to keep in mind is that as long as you know a base length and the vertical height to that corresponding side, the formula to calculate the area of a triangle would still be [tex]\frac{1}{2} bh[/tex]. In the given triangle, the base length is 9 meters, and the vertical height is 5 meters. Therefore, the area of the following figure would be 22.5 [tex]m^2[/tex].
Have a great day! Feel free to let me know if you have any more questions :)
Yu Yan makes a wall hanging from a piece of fabric. For the first part, she cuts off 1/3 of the length of the original piece of fabric. For the next two parts, she cuts off 10 inches and 5 inches from the length of the remaining fabric. In total, she cuts 35 1/2 inches from the length of the original piece of fabric. How long was the original piece of fabric? Write and solve an equation. Check your solution.
The length of the original piece of fabric, given the proportion cut by Yu Yan and the amount cut in total, is 75 .75 inches
How to find the original length of fabric ?Assume that the original length of fabric was denoted as x, this means that the first cutting by Yu Yan took out :
= 1 / 3 x
The equation would then be :
x - 1 / 3 x - 10 - 5 = 35 + 1 / 2
x - 1 / 3 x - 10 - 5 = 35 . 5
The length of the original fabric is:
2 / 3x = 35. 5 + 10 + 5
x = 50. 5 ÷ 2 / 3
x = 50. 5 x 3 / 2
x = 75 .75 inches
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the circumference of head sizes of newborns is approximately normal with mean 13.5 inches and standard deviation of 0.75 inches. what percent of babies have a head circumference greater than 14 inches?
A 24.8% of babies have a head circumference greater than 14 inches.
What is Circumference?The circumference of a circle is the length of the curved boundary or the perimeter of the circular shape. It is a measurement of the distance around the circle and is equal to the arc length of the circle if it were opened up and straightened out into a line segment. The circumference of a circle is related to its diameter by the formula: C = π * d
To calculate the percentage of babies with a head circumference greater than 14 inches, we need to find the area under the normal distribution curve to the right of 14 inches.
First, we need to convert 14 inches to the standard units (z-score). We can do that using the following formula:
z = (14 - 13.5) / 0.75 = 0.67
Next, we can use a standard normal distribution table to find the area to the right of z = 0.67. The value from the table is approximately 0.752.
Therefore, approximately 75.2% of babies have a head circumference less than or equal to 14 inches, and 24.8% of babies have a head circumference greater than 14 inches.
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The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
0 5
1 0, 3, 7
2 4, 6, 8
3 2
4
5 8
Key: 5|8 means 58
What is the appropriate measure of variability for the data shown, and what is its value?
The range is the best measure of variability, and it equals 18.5.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 18.5.
For this data, the IQR is a superior measure of variability because it is less than the range. The greatest way to quantify variability is the IQR, and that number is 11.
How does interquartile range work?The interquartile range (IQR) in descriptive statistics is a measurement of statistical dispersion, or the spread of the data. The IQR is also known as the middle 50%, the fourth spread, or the H-spread. The difference between the data's 75th and 25th percentiles is how it is defined.
How do you determine IQR?The median (middle value) of the lower half and upper half of the data should be found first in order to determine the interquartile range (IQR). The quartile 1 (Q1) and quartile 3 values are these (Q3). The IQR is the difference between Q3 and Q1.
From the given stem-and-leaf plot, we can see that the lowest score is 5, and the highest score is 23. Therefore, the range of the data is:
Range = highest value - lowest value = 23 - 5 = 18
We also need to find the quartiles to calculate the IQR. The median (Q2) of the data is 18, which is the value that separates the lower 50% of the scores from the upper 50%. To find Q1 and Q3, we can split the lower and upper halves of the data, respectively, and find their medians.
The lower half of the data is: 5, 10, 13, 17, 18. The median of this half is (13 + 17)/2 = 15.
The upper half of the data is: 24, 26, 28. The median of this half is 26.
Therefore, Q1 = 15 and Q3 = 26, and the IQR is:
IQR = Q3 - Q1 = 26 - 15 = 11.
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Answer:
IQR 18.5
Step-by-step explanation:
I took the test
What statement is true about the distributions shown in the histograms below?
Histogram 1 is positively skewed, and Histogram 2 is symmetric.
Histogram 1 is negatively skewed, and Histogram 2 is symmetric
Histogram 1 is negatively skewed, and Histogram 2 is positively skewed.
Histogram 1 is positively skewed, and Histogram 2 is negatively skewed.
Histogram 1 is positively skewed, and Histogram 2 is symmetric, which is a true statement about the distributions represented by the histograms.
The Histogram: What Is It?An illustrated display of data points arranged into user-specified ranges is called a histogram. By taking several data points and organising them into logical ranges or bins, the histogram, which resembles a bar graph in appearance, condenses a data series into an easily understood graphic.
The purpose of a histogram?Among graphing tools, the histogram is widely used. It is utilised to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.
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Answer:
C) Histogram 1 is negatively skewed, and Histogram 2 is positively skewed.
Step-by-step explanation:
When most of the data on a histogram is gathered to the right, then the distribution is negatively skewed. If most of the data is gathered to the left, then the distribution is positively skewed.
Assuming you are going off of these Histograms:
C is the correct answer.
If () = √, () = + 5 and h() = 2 − 1 , find the following.
a) ( ∘ )(4)
b) (∘)(4)
c) (h∘∘)(−5)
d) ( ∘ )()
e) (∘)
f) (h∘)
a) (f ∘ g)(4) = 2
b) (g ∘ f)(4) = √2 + 5
c) (h ∘ g ∘ g)(-5) = 2 - 1/ (√(2√5) + 5)
d) (g ∘ f)(x) = √(x + 5) + 5.
e) (f ∘ g)(x) = √(√x + 5) + 5
f) (h ∘ f)(x) = 2 - 1/ (√x + 5)
What is Function?
A function is an expression or relationship that involves one or more variables. It has several inputs and outputs.
a) (f ∘ g)(4) means plugging in the value of 4 into g(x) and then plugging the result into f(x). So we have:
g(4) = √4 + 5 = √9 = 3
f(g(4)) = f(3) = √3 + 5 = 2
Therefore, (f ∘ g)(4) = 2.
b) b) (g ∘ f)(4) means plugging in the value of 4 into f(x) and then plugging the result into g(x). So we have:
f(4) = √4 = 2
g(f(4)) = g(2) = √2 + 5
Therefore, (g ∘ f)(4) = √2 + 5.
c) (h ∘ g ∘ g)(-5) means plugging in the value of -5 into g(x) twice, and then plugging the result into h(x). So we have:
g(-5) = √(-5) + 5 = √(20) = 2√5
g(g(-5)) = g(2√5) = √(2√5) + 5
h(g(g(-5))) = h(√(2√5) + 5) = 2 - 1/ (√(2√5) + 5)
Therefore, (h ∘ g ∘ g)(-5) = 2 - 1/ (√(2√5) + 5).
d) (g ∘ f)(x) means plugging in the function f(x) into g(x), which gives:
g(f(x)) = √(x + 5) + 5
Therefore, (g ∘ f)(x) = √(x + 5) + 5.
e) (f ∘ g)(x) means plugging in the function g(x) into f(x), which gives:
f(g(x)) = √(√x + 5) + 5
Therefore, (f ∘ g)(x) = √(√x + 5) + 5.
f) (h ∘ f)(x) means plugging in the function f(x) into h(x), which gives:
h(f(x)) = 2 - 1/ (√x + 5)
Therefore, (h ∘ f)(x) = 2 - 1/ (√x + 5).
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pls help me pls plsplsssssssssssss
Answer:
8 to 2
Step-by-step explanation:
because u have 8 cocca and 2 sugar
The table shows the heights (in feet) of a high jump bar and the number of people who successfully complete each jump. Identify the correlation of coefficient. Round your answer to three decimal places
The value of correlation cofficient between the number of people who complete successfully complete each jump, y and height of jump, x is equals to the - 0.091.
We have a table which consists height ( in feet ), x and completions, y present above figure. We have to calculate the correlation coefficient for variables x and y. Correlation coefficients are used to measure how strong the relationship is between two variables. The commonly used cofficient in linear regression is Pearson's correlation (also called Pearson's R) coefficient . Formulas return a value between -1 and 1, where,
A strong positive relationship, r = 1Strong negative relationship, r= -1A result of zero indicates no relationship at all.Formula used to determine the cofficient is r = (n∑ xy - (∑x)(∑y))/√[ n∑x² - (∑x)²][n∑y² - (∑y)²]
Here, n = 6, ∑xy = 375.8 , ∑ x =22.4, ∑y
= 102, ∑ x² = 96.5, ∑y² = 1978
so, r = 6×(375.8) - 102(22.4))/√[(6×96 - (22.4)²)(6×1978 - 102²)]
= -30/329.68
= - 0.091
Hence, required value of r is - 0.091.
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Complete question:
The above table shows the heights (in feet) of a high jump bar and the number of people who successfully complete each jump. Identify the correlation of coefficient. Round your answer to three decimal places.
how many sides does a regular polygon have if each interior angle measures 172
A regular polygon with an interior angle of 172 degrees has 20 sides.
The formula to find the measure of an interior angle of a regular polygon is:
Interior angle = (n-2) x 180 / n
where n is the number of sides of the polygon.
Setting the equation equal to 172 and solving for n, we get:
172 = (n-2) x 180 / n
172n = 180n - 360
8n = 360
n = 45
Therefore, the regular polygon has 45 sides, but since the question asks for a regular polygon, all sides must be equal and all interior angles must be congruent. The only regular polygon that satisfies these conditions with an interior angle of 172 degrees is a regular 20-sided polygon.
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which expression gives the distance between the two points (2,3) and (4,-3)
The expression that will give the distance between points is option D i.e. √(2 - 4)² + (3 + 3)². The solution has been obtained by using distance formula.
What is the distance formula?
The distance between two locations on a coordinate plane can be calculated using the distance formula. The distance equation is written as d = √(x₂ - x₁)² + (y₂ - y₁)².
We are given two points as (2,3) and (4,-3).
So, x₁ = 2, y₁ = 3, x₂ = 4, y₂ = -3
Now, substituting these values in the distance formula, we get
d = √(2 - 4)² + (3 + 3)²
Hence, the expression that will give the distance between points is option D.
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Full question has been attached below
Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Answer:
Top box is 2
Middle box is 10
Bottom box is 18
Step-by-step explanation:
[tex]\frac{6}{9}[/tex] = [tex]\frac{x}{3}[/tex]
9 ÷ 3 = 3
6 ÷ 3 = 2
x = 2
[tex]\frac{6}{9}[/tex] = [tex]\frac{x}{15}[/tex]
9 x [tex]\frac{15}{9}[/tex] = 15
6 x [tex]\frac{15}{9}[/tex] = 10
x = 10
[tex]\frac{6}{9}[/tex] = [tex]\frac{12}{x}[/tex]
6 x 2 = 12
9 x 2 = 18
x = 18
X is a normally distributed random variable with mean 25 and standard deviation 9.
What is the probability that X is less than 16?
The required probability that X is less than 16 is approximately 0.15866 or 15.86%.
What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.
Here,
We can use the standard normal distribution to find the probability that a normally distributed random variable, X, is less than a certain value. To use the standard normal distribution, we need to standardize X by subtracting the mean and dividing by the standard deviation:
Z = (X - μ) / σ
In this case, X has a mean of 25 and a standard deviation of 9,
Z = (16 - 25) / 9
z = -1
To find the probability that X is less than 16, we need to find the corresponding value of Z using the standard normal distribution table or a calculator.
P(Z < -1) ≈ 0.15866
Therefore, the probability that X is less than 16 is approximately 0.15866 or 15.86%.
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PLEASE HELPPP me ASAP and show your work. If I get 2 questions I will mark one person BRAINLIEST. So PLEAASEEEEEEEEEEE Help on #4, #7, and #8 DUE TONIGHT
QUESTION 4: m∠A = 53 degrees
QUESTION 7: Area of triangle PQR is 23.6 unit²
QUESTION 8: Using cosine law, JK = 3.1 units
How to find the angle and area of triangle?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
QUESTION 4
tan A = 9.6/7.2
A = arctan(9.6/7.2)
A = 53 degrees
QUESTION 7
Area of ΔPQR = 1/2 * 6 * 8 * sin 80
Area of ΔPQR = 23.6 unit²
QUESTION 8
JK = √(6² + 8² - 2*6*8*cos 20°) (cosine law)
JK = 3.1 units
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Pleaseh help me! Find the missing side length using trig!
Answe[tex]3\sqrt{2)[/tex]
Step-by-step explanation:
Ryan purchased 3 ties and 4 shirts for $500 Earl purchased 6 ties and 7 shirts at the same store for $920.00. What is the total cost of 1 tie and 1 shirt .? Show working
Ryan purchased 3 ties and 4 shirts for $500 Earl purchased 6 ties and 7 shirts at the same store for $920.00 then the total cost of 1 tie and 1 shirt is $153.33.
What is system of equations?
A system of equations is a set of two or more equations that are solved simultaneously to find the values of the variables that satisfy all the equations in the system. The solution of the system is the set of values of the variables that satisfy all the equations. There are different methods to solve a system of equations, such as substitution, elimination, and matrix methods.
Let x be the cost of 1 tie and y be the cost of 1 shirt.
From the problem, we can set up a system of equations:
3x + 4y = 500 (equation 1)
6x + 7y = 920 (equation 2)
To solve for x and y, we can use elimination method. Multiply equation 1 by 2 and subtract it from equation 2:
6x + 7y = 920
(6x + 8y = 1000)
-y = -80
Therefore, y = 80. We can substitute y = 80 into equation 1:
3x + 4(80) = 500
Simplifying the equation, we get:
3x = 220
So, x = 220/3 = 73.33 (rounded to two decimal places).
Therefore, the total cost of 1 tie and 1 shirt is $73.33 + $80 = $153.33.
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If 7 book cost rs 300 than 5 same books find the cost of a book
When the cost of 7 books is equal to Rs 300 more than the 5 same books then the cost of a single book is equal to Rs 150.
Let us consider Rs 'x' be the cost of a single book .
Equation to represents the given expression 7 books is equal to Rs 300 more than the 5 same books is :
⇒ 7x = 300 + 5x
Subtract 5x from both the side of the equation we get,
⇒ 7x -5x = 300 + 5x - 5x
⇒ 2x = 300
Divide both the side by 2 we get,
⇒ 2x / 2 = 300 / 2
⇒ x = Rs. 150
Therefore, the cost of a single book as per the given condition of 7 books is equal to Rs 300 more than the 5 same books is given by Rs 150.
The above question is incomplete, the complete question is:
If 7 books cost Rs. 300 more than 5 books, find the cost of a book.
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In a restaurant there are
8 starter dishes
15 main dishes
9 dessert dishes
Jane is going to choose one of the following combinations for her meal.
a starter dish and a main dish
or a main dish and a dessert dish
or a starter dish, a main dish and a dessert dish
How many different ways are there for her to choose the meal?
Answer:
there are 276 + 276 + 5680 = 6232 different ways for Jane to choose her meal.
Step-by-step explanation:
First, we need to find the number of different combinations of a starter dish and a main dish. This is simply the number of combinations of 2 items from 8 starters and 15 main dishes, which can be calculated using the formula for combinations:
C(8 + 15, 2) = C(23, 2) = (23 * 22) / (2 * 1) = 276
Similarly, the number of different combinations of a main dish and a dessert dish is:
C(15 + 9, 2) = C(24, 2) = (24 * 23) / (2 * 1) = 276
Finally, the number of different combinations of a starter dish, a main dish, and a dessert dish is:
C(8 + 15 + 9, 3) = C(32, 3) = (32 * 31 * 30) / (3 * 2 * 1) = 5680
In total, there are 276 + 276 + 5680 = 6232 different ways for Jane to choose her meal.
While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?
The total cost of the aquarium that Arlington bought after markdown and including sales tax is $42.
What is meant by the markdown of the price?
The markdown is the price that separates an item's current, lowered price from its original, full price. Typically, a percentage is used to express it. Retailers can offer their products at a discount thanks to markdown.
Discounts are distinct from markdowns. Markdowns give everyone the chance to buy products for a lower price. However, some customers may only be eligible for discounts, such as students.
Markdown = (difference of prices / actual selling price) x 100
Given,
Original Cost of aquarium = $100
Marked down price = 100 - 0.60 * 100= 100 - 60 = $40
Sales tax = 5%
Sales tax is the percentage of the price at which the aquarium was bought i.e the markdown price.
Sales tax = 5% of $40 = 0.05 * 40 = $2
Total cost = marked down price + sales tax = $40 + $2 = $42
Therefore the total cost of the aquarium that Arlington bought after the markdown and including sales tax is $42.
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a marketing agency selected a random sample of television viewers to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance of 0.05. the test yielded a
At the level of significance of 0.05, the null hypothesis is not rejected and there is no convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20. Hence, option a. is the accurate answer.
The p-value is the probability of observing a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. In this case, the null hypothesis is that the proportion of viewers who watch a particular show is equal to or greater than 0.20, and the alternative hypothesis is that the proportion is less than 0.20.
Since the p-value (0.47) is greater than the level of significance (0.05), we fail to reject the null hypothesis. This means that there is not enough evidence to support the claim that the proportion of viewers who watch the show is less than 0.20.
Therefore, we can conclude that at the level of significance of 0.05, the null hypothesis is not rejected. Also, there is no convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
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The complete question is -
A marketing agency selected a random sample of television viewers to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance of 0.05. The test yielded a p-value of 0.47. Assuming all conditions for inference were met, which of the following is the correct conclusion?
a. At the level of significance of 0.05, the null hypothesis is not rejected. There is no convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20
b. At the level of significance of 0.05, the null hypothesis is not rejected. There is convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
c. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to suggest that the true proportion of television viewers who watch the show is less than 0.20.
d. At the level of significance of 0.05, the null hypothesis is rejected. There is no convincing evidence to suggest that the true proportion of television viewers who watch the show is greater than 0.20.
e. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to conclude that the null hypothesis is true.
It is given that the volume of the cylinder and the cuboid are the same. Find the value of x and give your answer correct to two decimal places.
who can help me pls
Answer: Sure, I can help you with that!
Let's assume that the height of the cylinder is h and its radius is r. The volume of the cylinder can be calculated using the formula:
V = πr^2h
Similarly, let's assume that the length, width and height of the cuboid are l, w and h respectively. The volume of the cuboid can be calculated using the formula:
V = lwh
As the volume of the cylinder and the cuboid are the same, we can set the two expressions equal to each other:
πr^2h = lwh
Now, let's assume that the radius of the cylinder is equal to the length of the cuboid (r = l). This means that:
πl^2h = lwh
Solving for h, we get:
h = (πl^2)/w
Finally, substituting the value of h back into the original equation:
πr^2h = πl^2h = lwh
πr^2 = lwh/w = lw
r^2 = lw
r = sqrt(lw)
So, the value of x (the radius of the cylinder) can be found by knowing the length (l) and width (w) of the cuboid. To two decimal places, x = sqrt(lw).
Step-by-step explanation:
Given AB
and DC, complete the flowchart proof below. Note that the last statement reason have both been filled in for you.
The completed flowchart proof is that ΔΑΒΕ = ΔCDE
What is Geometry?Geometry is a branch of mathematics that deals with the study of shapes, sizes, positions, and dimensions of objects in space. It is concerned with the properties of points, lines, curves, surfaces, and solids, as well as the relationships between them.
How to prove this:
<ABD = <BDC
(alternate angles)
<BAC = <ACD
(alternate angles)
Hence, BE = ED (given)
So, ΔΑΒΕ = ΔCDE
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Let y represent the total cost of publishing a book (in dollars). Let x represent the number of the copies of the book printed. Suppose that x and y are related by the equation 15x+1100=y
a) What is the change in total cost for each book printed?
b) What is the cost to get started (Before any books are printed)?
a) The change in total cost for each book printed is $15.
b) The cost to get started (Before any books are printed) is $110
Overall, understanding the relationship between the number of copies printed and the total cost of publishing a book can help publishers and authors make important financial decisions.
a) The change in total cost for each book printed is represented by the slope of the equation.
In this case, the equation is in slope-intercept form
=> y = mx + b, where m is the slope and b is the y-intercept.
The slope of the equation 15x+1100=y is 15.
This means that for every additional book printed (x), the total cost (y) will increase by $15.
So, the change in total cost for each book printed is $15.
b) The cost to get started, before any books are printed, is represented by the y-intercept of the equation. In this case, the y-intercept is 1100.
This means that the cost to get started, before any books are printed, is $1100.
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complete the equation below by completing the square. x^2+6x+9=2
Answer:-3, 2
Step-by-step explanation:
The measure of <2 is 5 less than 4 times the measure of <1. Find the measures of all the angles. answer pls
If the measure of <2 is 5 less than 4 times the measure of <1. The measure of angle <1 is 37 degrees, and the measure of angle <2 is 143 degrees. The measure of angle <3 is 55 degrees.
How to find the measures of all the angles?Let's call the measure of angle <1 "x".
From the problem, we know that:
4 times the measure of angle <1 is equal to the measure of angle <2 plus 5:
4x = measure of angle <2 + 5
So the measure of angle <2 is 4x - 5.
Next, we know that the measures of all angles in a triangle must add up to 180 degrees.
Therefore, we have:
x + (4x - 5) + measure of angle <3 = 180
Expanding and simplifying:
5x - 5 + measure of angle <3 = 180
5x + measure of angle <3 = 185
5x = 185
Finally, solving for x:
x = 37
So the measure of angle <1 is 37 degrees, and the measure of angle <2 is 4 * 37 - 5 = 143 degrees. The measure of angle <3 is 185 - 5x = 185 - 5 * 37 = 55 degrees.
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While playing a game of chance, Mei rolled a regular six-sided die 100 times and noticed that it landed on the number 4 exactly 48 times. What could Mei conclude about the die?
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.398 and 0.562. Since this includes 0.5, the die appears to be fair.
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.398 and 0.562. Since this is much greater than 1 out of 6, the die appears to be unfair.
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.382 and 0.578. Since this is much greater than 1 out of 6, the die appears to be unfair.
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.382 and 0.578. Since this includes 0.5, the die appears to be fair.
We draw the conclusion that perhaps the actual probability of the die falling on the 4th position is between 0.398 and 0.562, with a 90% confidence level. The die appears to be fair since this contains 0.5.
What is probability and example?It is predicated on the probability that something might happen. The concept of probability relies mainly on the justification for probability. A coin is tossed, for instance, and the hypothetical likelihood of receiving a head is 1 in 2.
What is the formula in probability?P(A) = f / N determines probability, which quantifies the possibility of an event happening. Probability and odds are related, but probability is necessary for odds to exist. Prior to calculating the likelihood that an event will occur, probability is required.
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How many ways can a family of mother, father, and 3 children stand in a row if the mother and father stand at the ends of the row?
Answer:
12 ways
Step-by-step explanation:
the mother and father can either stand at the front/back or back/front respectively (2 ways)
that leaves 3 children in the middle -- there are 3 choices for the first child to go, 2 for the second, and 1 for the third = 3! = 6
6 ways for the children * 2 ways for the parents = 12 ways
Calculate the angle marked y in
the diagram below.
by=||
57°
y
Step-by-step explanation:
2y+57=180
2y=180-57
2y=123
y=123/2=61.5°
y=61.5
Answer:
61.5
Step-by-step explanation:
As the lines are parallel you can use the alternate angle rule.
So within the triangle you have 57 + x + x ( y is equal to the other angle because the lines are the same length and angle highlighted by the double lines )
And so...
180 - 57 = 123
123/2 = 61.5
