963.9 in³ cubic inches volume of the treasure chest is taken up by the coins .
What does math's volume mean?
The volume of a 3D object is the amount of actual space it occupies. It is a 2D shape's 3D equivalent of area. Cubic units, such as cm3, are used to measure it. You may calculate this by multiplying its length, height, and width.
Remember that the volume of a cylinder is given by:
volume = (height)*pi*(radius)^2
Where pi = 3.14
Then here the volume of each coin is:
V = (0.0625 in)*3.14*(1.7 in)^2 = 5.67 in³
And there are 230 coins, so the total volume is
V = 170 * 5.67 in³
= 963.9 in³
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Answer:
Step-by-step explanation:
the answer is 85.41 in^3
I got it right and I got to flvs .
Mrs. Miller would like to create a small vegetable garden adjacent to her house. She has 20 ft of fencing to put around three sides of the garden
The standard form of the quadratic function that represents the area of the garden is: G(x) = - 2x² + 20x
Mrs Miller has 20 ft of fencing to put around three sides of the garden.
Let us assume that l represents the length of the garden.
Here x represents the width of the rectangular garden.
So, l = 20 - 2x
We know that the formula for the area of rectangle is:
A = length × width
Let G(x) be a function that represents the area of the garden.
Using above formula,
G(x) = x × l
G(x) = x(20 - 2x)
G(x) = 20x - 2x²
G(x) = - 2x² + 20x
Therefore, the required quadratic function is: G(x) = - 2x² + 20x
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Find dthe complete question below.
4x^-3 y^-2 for x = 2 and y = 1? Pls Show work
Answer:
To substitute x = 2 and y = 1 into the expression 4x^-3 y^-2, we simply replace x with 2 and y with 1:
4 * (2)^-3 * (1)^-2 = 4 * (1/8) * (1) = 4/8 = 0.5
So the expression 4x^-3 y^-2 evaluated at x = 2 and y = 1 is equal to 0.5.
Step-by-step explanation:
In a quadrilateral field ABCD angle b is equal to 90 degree ab is equal to 80 metre BC is equal to 150 m c d is equal to 120 m and DA is equal to 250 m find the area of the field in the actor find the price of the field if it goes to 12000 rupees per hector
The area of the field is 2.384 hectares and price of the field is $28,608
The area of a quadrilateral given its sides and the diagonal:
Area = 1/4 × √[4s^2d^2 - (b^2 + d^2 - a^2 - c^2)^2]
where s = (a + b + c + d)/2 is the semi perimeter,
a, b, c, d are the lengths of the sides
d is the length of the diagonal.
Substituting the given values,
s = (80 + 150 + 120 + 250)/2
= 300
a = 80, b = 150, c = 120,
d = √(250^2 + 80^2)
= 259.8076
Area = 1/4 × √[4(80+150+120+250)^2*(259.8076)^2 - (80^2 + 259.8076^2 - 150^2 - 120^2)^2]
≈ 23844.17 square meters
To convert square meters to hectares, we divide by 10,000:
Area = 23844.17 / 10,000 hectares
≈ 2.384 hectares
Therefore, the area of the field is approximately 2.384 hectares.
The price of the field = 12,000/hectare,
Total price = 2.384 hectares × $12,000/hectare
= $28,608
Therefore, the price of the field is $28,608.
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6. there are many cones with a volume of cubic inches. the height in inches of one of these cones is a function of its radius in inches where . a. what is the height of one of these cones if its radius is 2 inches? b. what is the height of one of these cones if its radius is 3 inches? c. what is the height of one of these cones if its radius is 6 inches?
In all three cases, the height of the cone is proportional to the volume and inversely proportional to the square of the radius. So, if we know the volume and radius of a cone, we can use the formula for h to find its height.
[tex]\text{Height } = h = \frac{3V}{\pi r^2} = \frac{3V}{\pi (2^2)} = \frac{3V}{4\pi}[/tex]
The volume of a cone is given by the formula V = (1/3)πr²h, where V is the volume, r is the radius, and h is the height of the cone.
If we rearrange this formula to solve for h, we get h = 3V / (πr²). This means that the height of a cone is directly proportional to the volume and inversely proportional to the square of the radius.
a. If the radius of a cone is 2 inches and its volume is given, we can find its height by plugging in the values of V and r into the formula for h.
[tex]h = \frac{3V}{\pi r^2} = \frac{3V}{\pi (2^2)} = \frac{3V}{4\pi}[/tex]
b. Similarly, if the radius is 3 inches, the height would be:
[tex]h = \frac{3V}{\pi r^2} = \frac{3V}{\pi (3^2)} = \frac{3V}{9\pi}[/tex]
c. If the radius is 6 inches, the height would be:
[tex]h = \frac{3V}{\pi r^2} = \frac{3V}{\pi (6^2)} = \frac{3V}{36\pi}[/tex]
In all three cases, the height of the cone is proportional to the volume and inversely proportional to the square of the radius. So, if we know the volume and radius of a cone, we can use the formula for h to find its height.
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What is 100 x 2 - 100 ?
Answer:
100
Step-by-step explanation:
100x2=200
200-100=100!
Answer:
100
Step-by-step explanation:
First do 100 multiplied by 2 you will then get 200
Next step is to do 200 subtracted by 100 which will give you 100.
PLEASE HELP!!!
Write a linear equation given slop is -1/3 and the point (-9,-1)
The equation of a line is y = -1/3x - 4
How to determine the equation of the lineThe general formula for the equation of a line is expressed as;
y = mx + c
Given that the parameters are;
y is a point on the y-axis of the linem is the slope of the linex is a point on the x-axis of the linec is the intercept of the line on the y -axisFrom the information given, we have that;
Slope, m = -1/3
Substitute the values
-1 = -1/3(-9) + c
expand the bracket
-1 = 3 + c
collect like terms
= -4
Hence, the equation is y = -1/3x - 4
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Suppose C(x)= x^2−13x+74 for 0 ≤ x ≤25 represents the marginal cost in hundreds of dollars to produce an additional x thousand pens. Find how many additional thousand pens can be produced with marginal cost of no more than $5,200. Write the largest interval containing all possible answers
Answer: 78.39 thousand, (78,390)
Step-by-step explanation:
Using the quadratic formula with this gives us two answers, 78.39 and -65.39. Since a negative answer doesnt make sense in this context, we will go with 78.39 thousand pens, (78,390 pens). The limit on x however doesn't seem to make sense as it says x </= 25 and x>/= 0. The only two answers are both above and below this limit.
paul records data that indicate that the number of hot chocolates sold at a concession stand increases as temperature outside decreases. (for example, more hot chocolates are purchased during late fall than late spring) which statement is the most accurate depiction of this finding?
Paul records data that the number of hot chocolates sold increases as temperature outside decreases. The depiction of the finding is "There is a correlation between two variables". So, the correct option is A.
Specifically, the data suggest that there is a relationship between two variables - the number of hot chocolates sold and the temperature outside.
When the temperature outside decreases, more hot chocolates are sold, and when the temperature increases, fewer hot chocolates are sold. This indicates that there is a correlation between the two variables, as they appear to be related.
However, we cannot determine from this information alone whether the correlation is strong or weak, or whether it is positive or negative.
The strength of the correlation would depend on how much the sales of hot chocolate increase or decrease as the temperature changes, while the direction of the correlation (positive or negative) would depend on whether the increase or decrease in hot chocolate sales is associated with an increase or decrease in temperature, respectively.
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Complete question is:
Paul records data that indicate that the number of hot chocolates sold at a concession stand increases as temperature outside decreases. (for example, more hot chocolates are purchased during late fall than late spring) which statement is the most accurate depiction of this finding?
a) There is a correlation between two variables
b) There is a strong , positive correlation between two variables
c) There is a weak , positive correlation between two variables
d) There is a negative correlation between two variables
After performing a statistical regression on a set of data, the value of the correlation
coefficient r was -0.2041. What does that imply about the data?
A:There is a strong negative non-linear correlation between the variables.
B:There is almost no correlation between the variables (the data is scattered).
C:There is a strong negative linear correlation between the variables.
D:There is a strong positive non-linear correlation between the variables.
E:There is a strong positive linear correlation between the variables.
Answer: B
Step-by-step explanation:
if r is close to 1 (or -1) it means the relationship is strong, -0.2041 is really close to 0 so the data is most likely scattered and the association is weak
Answer:
Strong
Step-by-step explanation:
edge 2023
Transcribed image text: T8.7 A marketing assistant for a technology firm plans to randomly select 1000 customers to estimate the pro- portion who are satisfied with the firm's performance. Based on the results of the survey, the assistant will construct a 95% confidence interval for the propor- tion of all customers who are satisfied. The market- ing manager, however, says that the firm can afford to survey only 250 customers. How will this decrease in sample size affect the margin of error? (a) The margin of error will be about 4 times larger. (b) The margin of error will be about 2 times larger. (c) The margin of error will be about the same size. (d) The margin of error will be about half as large. (e) The margin of error will be about one-fourth as large. T8.8 Thirty-five people from a random sample of 125 work- ers from Company A admitted to using sick leave when they weren't really ill. Seventeen employees
The answer is (b) The margin of error will be about 2 times larger.
The margin of error in a confidence interval is affected by the sample size, so decreasing the sample size will generally increase the margin of error. Specifically, the margin of error is inversely proportional to the square root of the sample size.
That is, if we reduce the sample size by a factor of k, then the margin of error will increase by a factor of sqrt(k).
In this case, the original sample size was 1000, and the proposed sample size is 250, which is 1/4 of the original size. Therefore, the margin of error for the smaller sample will be:
sqrt(1000/250) times the original margin of error.
Simplifying this expression, we get:
sqrt(4) times the original margin of error.
So the margin of error for the smaller sample will be about 2 times the original margin of error.
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which three values are smaller than 1/2:
A. 1/4
B. 0.26
C. 3/5
D. 67%
E. 0.74
F. 40%
Answer: A, B, F
Step-by-step explanation:
For convenience sake, let's establish early on that 1/2 is equal to 0.5 or 50% in their decimal and percentage forms respectively.
- A as a decimal is 0.25, which is not only smaller than 1/2, but it is exactly half of the value, so A works.
- B is also smaller than the decimal of 0.5, therefore it counts.
- 3/5 as a decimal is 0.5, which is greater, so doesn't count.
- 67% is bigger than 50%, so doesn't count.
- 0.74 is bigger than 0.5, so doesn't count.
- 40% is smaller than 50%, so it counts.
Answer:
A, B, and F
Step-by-step explanation:
A. 1/4 = 25%
B. .26 = 26%
F. 40%
Use the substitution method to solve the system of linear equations.
y = x - 4
4x + y = 26
Answer:
y = 2 and x = 6
Step-by-step explanation:
Let y = x - 4 be equation a
Let 4x + y = 26 be equation b
Substitute a into b:
4x + (x-4) = 26
5x - 4 = 26
5x = 30
x = 6
Substitute the value of x into a:
y = x - 4
y = 6 - 4
y = 2
CHECK:
4x + y = 26
4*6 + 2 = 26
24 + 2 = 26
26 = 26
LHS = RHS
Therefore, y = 2 and x = 6
Solve for x.
2x² + 4x-1=0
Enter your answers in the boxes.
X =
or x =
Answer: -2 ±√6
2
Step-by-step explanation:
Use the quadratic formula - its better to separate it into two parts
Δ = b²-4ac
= 4² -4(2*-1)
= 16 + 8
∴ Δ = 24
Then
x = (-b ± √Δ) ÷ 2a
= (-4 ± √24) ÷ 4
= (-4 ± 2√6) ÷ 4 (simplify the surd form)
∴ x = -2 ±√6 (simplify by crossing out the 2's)
2
which of the following is most likely to be possible? group of answer choices making a grouped frequency table from an ordinary frequency table making a normal curve from a bimodal distribution making an ordinary frequency table from a grouped frequency table making a bimodal distribution from a normal curve
The most likely option (b) to be possible is making a grouped frequency table from an ordinary frequency table.
A frequency table is a way of organizing data into classes or categories based on the number of times a particular observation or value occurs.
Now, let's examine the options provided. Making a grouped frequency table from an ordinary frequency table is possible, as we can simply group the values into intervals and calculate the frequencies for each interval. This allows us to better visualize and understand the distribution of the data.
Making a normal curve from a bimodal distribution is not possible, as a bimodal distribution has two distinct peaks or modes, while a normal distribution has only one. A normal curve is symmetrical and bell-shaped, and represents a continuous distribution of values.
Making an ordinary frequency table from a grouped frequency table is also possible, as we can simply list the intervals or classes and their corresponding frequencies, without the need to group them into intervals.
Finally, making a bimodal distribution from a normal curve is possible, as we can add two normal distributions with different means and standard deviations to create a bimodal distribution. However, it is important to note that a bimodal distribution may not always be appropriate for the given data.
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Select the correct answer.
Which graph shows the solution region of this system of inequalities?
y ≥3(0.8)^x
y ≥ x² - 5
The solution to the inequality are the region in the shaded area and the graph is attached
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
y ≥3(0.8)^x
y ≥ x² - 5
Represent properly
y ≥ 3(0.8)^x
y ≥ x² - 5
Next, we make a plot of the system to determine the solution
The shaded area in the plot represent the solution to the inequality
In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)
None of the options represent the shaded area (see attachment)
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Help Please im stuck
The exponential equation after solving gives -26.
What are Exponential Equations?Exponential equations are equations where the independent variable, x is in the exponent.
The given equation is,
[tex]5^{7x+5}[/tex] = [tex]125^{2x-7}[/tex]
We know that 125 = 5³
[tex]5^{7x+5}[/tex] = [tex]5^{3(2x-7)}[/tex]
The base in the both sides of the equation is 5.
So,
7x + 5 = 3(2x - 7)
7x + 5 = 6x - 21
7x - 6x = -21 - 5
x = -26
Hence the value of x is -26.
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I have been stuck on this question for a little while now
Answer:
could write 21 + 38 + 75 = 134
Step-by-step explanation:
Solve for x. Round to the nearest tenth .
Thank you!
The solution of x in the triangle is 11.5
How to determine the solution of xFrom the question, we have the following parameters that can be used in our computation:
The triangle
Using the Pythagoras theorem, we have the following equation
x^2 = 13^2 - 6^2
Evaluate the expression
x^2 = 133
Take the square roots of both sides
x = 11.5
Hence, the solution is 11.5
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The slope of a staircase is 0. 95 if it rises 210 what is the run?
If the slope of a staircase is 0. 95 and rises with 210, then the run is:
221.05 units.
In this problem, we can use the formula for the slope of a staircase, which is given by:
slope = rise / runwhere "rise" is the vertical height of the staircase and "run" is the horizontal distance of the staircase.
We are given the slope of the staircase as 0.95 and the rise as 210. We can substitute these values in the formula and solve for the run:
0.95 = 210 / runMultiplying both sides by run, we get:
0.95 * run = 210Dividing both sides by 0.95, we get:
run = 210 / 0.95Simplifying the expression, we get:
run = 221.05 (rounded to two decimal places)Therefore, the run of the staircase is approximately 221.05 units.
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How to find the missing angles and sides of a triangle with one given angle and side
Solve the inequality for x and identify the graph of its solution.
2|x+3|< 4
Choose the answer that gives both the correct solution and the correct graph.
(8,12) and (x,9) where m = -1/2
Answer:
Step-by-step explanation:
The slope of a line between two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
In this case, we are given that m = -1/2, so substituting in the two points we have:
-1/2 = (9 - 12) / (x - 8)
Expanding and simplifying the equation:
-1/2 = -3 / (x - 8)
Multiplying both sides by -2:
1 = 3 / (x - 8)
Multiplying both sides by (x - 8):
x - 8 = 3
Adding 8 to both sides:
x = 11
So the x-coordinate of the second point is x = 11.
The t-value changes depending on the number of data points collected.
a. True
b. False
Answer:
true
the t-value does change depending on the number of data points collected.
It is true that the t-value can change depending on the number of data points collected.
What is t-value ?The t-value is a statistic used in hypothesis testing to determine whether a sample mean is significantly different from a population mean.
The formula for calculating the t-value includes the sample size (n) in the denominator, which means that as the sample size increases, the t-value decreases (assuming all other factors remain constant).
In other words, a larger sample size will generally result in a smaller t-value, which in turn may affect the interpretation of the results of a hypothesis test. Therefore, the t-value can change depending on the number of data points collected.
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Mrs. Ellis is shopping for school
supplies with her children. Hansen
selected 3 one-inch binders and 2 two-
inch binders, which cost a total of $20.
Pam selected 3 one-inch binders and 5
two-inch binders, which cost a total of
$32. How much does each size of
binder cost?
Answer:
Each one-inch binder costs $2.67 and each two-inch binder costs $6.
Step-by-step explanation:
Let's call the cost of a one-inch binder "x" and the cost of a two-inch binder "y".
From Hansen's purchase, we know that 3x + 2y = $20.
From Pam's purchase, we know that 3x + 5y = $32.
We can use these two equations to solve for the cost of each size of binder. If we subtract the first equation from the second, we get:
2y = $32 - $20 = $12
So, y = $6, which is the cost of a two-inch binder.
Next, we can plug this value back into either of the original equations to find the cost of a one-inch binder:
3x + 2($6) = $20
Expanding the right side, we get:
3x + $12 = $20
Subtracting $12 from both sides, we get:
3x = $8
Finally, dividing both sides by 3, we find that:
x = $2.67
So, each one-inch binder costs $2.67 and each two-inch binder costs $6.
HELPPPPPPPPPPPPPPPPPPPPP
Answer: look at the image for the answer and solution
Step-by-step explanation:
Jane has 4.8 pints of juice.
Tim has 7.4 pints of juice.
About how many pints of juice do they
have in all?
Answer:
12.2 pints
Step-by-step explanation:
In all means add. Add the two decimals together.
4.8 + 7.4
12.2 pints
A___is a numerical measure of the outcome of a probability experiment
An objective tally of the results of a probability experiment is called a random variable. It gives a number to each potential result of the experiment, and its values are decided by chance.
What exactly is probability?How something is to Happen is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics defines series of events subject to probability.
The probability equation is what?Always between 0 and 1 are the possible outcomes. Probability = Number of favourable outcomes / Total number of outcomes is how the general probability formula is written. Alternatively, P(A) = f / N.
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Discount % is always calculated on the:
a) CP ( cost price).
b) SP ( selling price).
c) MP ( marked price).
d) None of these.
what is the mode of the number of girl in the three classes?
There is no mode of the number of girl in the three classes.
What is Mode of the Data?The value that appears the most frequently in a data collection when it is unique is known as the mode, and like the median and mean, it can be used to measure central tendency. However, occasionally there is either no mode or more than one mode.
Given:
The data for boys: 15, 12, 12
The data for Girls: 14, 12, 16
As, mode is the most repeating data.
We can see that the data repeats in boys but not for the Girls.
So, number of boys have the mode but the number of girls do not have the mode.
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Sam wants to make five banana pancakes. He has a recipe for 20 pancakes,
and the recipe requires two-thirds of a cup of milk. How much milk is needed
for 5 pancakes?
The recipe requires two-thirds of a cup of milk, and Sam needs 1/3 cup of milk to make 5 banana pancakes.
What is the proportion?
A proportion is two ratios that have been set equal to each other; a proportion is an equation that can be solved. When I say that a proportion is two ratios that are equal to each other, I mean this in the sense of two fractions being equal to each other. For instance, 5/10 equals 1/2.
The recipe for 20 banana pancakes requires 2/3 cup of milk.
To find out how much milk is needed for 5 pancakes, we can use proportion. We can set up a proportion that relates the amount of milk needed to the number of pancakes:
(milk needed) / 2/3 cup = 5 pancakes / 20 pancakes
Simplifying the right side of the equation, we get:
(milk needed) / 2/3 cup = 1/4
To solve for the milk needed, we can cross-multiply:
milk needed = (2/3 cup) * (1/4) = 1/3 cup
Therefore, Sam needs 1/3 cup of milk to make 5 banana pancakes.
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