Using their concepts, we have that the measures are given as follows:
a) Mean of 1.0126.
b) Average deviation of 0.01632.
c) Percent deviation of 1.6%.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
For this problem, the 5 observations are given as follows:
1.040, 0.989, 1.009, 1.026, 0.999.
Hence the mean is given by:
M = (1.040 + 0.989 + 1.009 + 1.026 + 0.999)/5 = 1.0126.
What is the average deviation?The average deviation of a data-set is given by the sum of the absolute values of the difference between each value and the mean, divided by the number of observations.
Hence:
Ad = (|1.040-1.0126| + |0.989-1.0126| + |1.009-1.0126| + |1.026-1.0126| + |0.999-1.0126|)/5 = 0.01632.
What is the percent deviation?The percent deviation of a data-set is given by the absolute deviation divided by the mean and multiplied by 100%.
Hence:
0.01632/1.0126 x 100% = 1.6%.
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Consider Line 2, which has the equation: y = = - 1/3x + 14, Give the equation of the line parallel to Line 2 which passes through: (-7,4).
Answer:
x + y = -3.
Step-by-step explanation:
x + y = 2y = -x + 2 - the slope of this line is -1 . The line parallel to it will also have a slope of -1.It also passes through (-7,4) so we havey - 4 = -1(x - -7)y - 4 = -1(x + 7)y - 4 = -x - 7x + y = -3 is the required equation.
show ur work you will get brainlest and 30 points if your right THANK YOU!!
I hope this pictures help
Which of the following would represent three consecutive integers if X is the first integer? Check all that apply 
X^2+7x=8 find the solutions
The value of x is 1 and -8.
To solve this problem we need to understand the concept of quadratic equation.
To solve Quadratic equation we need to understand the concept of equation which says the factor of the product of coefficient of [tex]x^{2}[/tex] and constant must on adding or substracting give the coefficient of x.
Here the equation is [tex]x^{2} +7x-8=0[/tex]
The product of coefficient is 8. The factors of 8 is 8 and 1 which gives 7 on substracting.
Now,
[tex]x^{2} +8x-x-8=0[/tex]
⇒[tex]x(x+8)-1(x+8)=0\\[/tex]
⇒[tex](x-1)(x+8)=0[/tex]
∴ x=1,-8.
So, the required values of x is 1 and -8.
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Solve the equation -2 =
k=
k+7
3
[tex]{ \orange{ \tt{k = 1}}}[/tex]
Step-by-step explanation:
-2 = k+7/3
cross multiply 3 with -2 then,
-6 = k+7 (OR) k+7 = -6.
k = -6+7
k = 1.
prove that √ 2 - 1 is irrational
Answer:
a+b/2b is an rational no. because LHS is always equal to RHS. therefore our assumption is wrong. hence , 2√2-1 is an irrational number.
Answer correctly and I’ll give brainlest
Answer: division property of equality
Step-by-step explanation:
In the expansion of (1 + ax)24 where a > 0, the coefficient of x² is 1104. Find the value of a.
The required value of a is 2 if the coefficient of x² is 1104 of the expansion (1 + ax)²⁴.
What is the Binomial Theorem?According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,
(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ
where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.
We have been given that the expansion as
(1 + ax)²⁴
As per the binomial theorem expansion of the term 3,
T₃ = ⁿC₂ a² x²
Since the coefficient of x² = 1104
⇒ n!/2!(n-2)a² x² = 1104
Here n = 24
⇒ 24!/2!(24-2)a² = 1104
⇒ 276a² = 1104
⇒ a² = 1104/276
⇒ a² = 4
⇒ a = 2
Therefore, the required value of a is 2 if the coefficient of x² is 1104 of the expansion (1 + ax)²⁴.
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help i have no clue how to do this pls help
Answer:
4
Step-by-step explanation:
the sequence is like [tex]1^{2}[/tex],[tex]2^{2} ,4^{2},8^{2} ,16^{2} ,32^{2}[/tex]
Simplify (2.8 × 10−9) − (6.9 × 10−8). Write the final answer in scientific notation.
−6.62 × 10−9
−6.62 × 10−8
−4.1 × 10−1
−4.1 × 101
The solution to the expression (2.8 × 10⁻⁹) − (6.9 × 10⁻⁸) gives -6.62 * 10⁻⁸
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
(2.8 × 10⁻⁹) − (6.9 × 10⁻⁸)
Making the exponents to be similar gives:
(2.8 × 10⁻⁹) − (69 × 10⁻⁹)
Simplifying gives:
-6.62 * 10⁻⁸
The solution to the expression (2.8 × 10⁻⁹) − (6.9 × 10⁻⁸) gives -6.62 * 10⁻⁸
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A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.
The expression for the perimeter is P = 12x - 16
How to write an expression for the perimeter?The given parameters are
Length = 3x + 1
Width = 3x - 9
The perimeter is calculated as
P = 2 * (Width + Length)
So, we have
P = 2 * (3x + 1 + 3x - 9)
Evaluate
P = 2* (6x - 8)
Expand
P = 12x - 16
Hence, the expression for the perimeter is P = 12x - 16
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If the BMI of a person who is 1.9 meters tall is 20 when the person weighs 55 kilograms, what is the constant of variation?
The height is 5.225 meters and the constant of variation will be 10.5
How to calculate the constant?From the information, the BMI of a person who is 1.9 meters tall is 20.
Therefore, the constant of variation when the person has a weight of 55 kilograms will be:
= 20/1.9 = 10.5
The height will be:
= 1.9 × 55/20
= 1.9 × 2.75
= 5.225 meters.
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One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head. Are the two triangles similar?
The height of the tree is 21 feet if manny stands 512 feet tall, and his shadow is 414 feet long. The tree's shadow extends 17 feet in length.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
The length of Manny's shadow, which is 414 feet long, is 512 feet.
The tree's shadow extends 17 feet.
Here, we'll assume that the height is x.
According to the data given, the calculation is as follows:
414 : 512 = 17 : x
⇒ 414 / 512 = 17 / x
⇒ (414)x = (512)(17)
⇒ x = (512)(17)/(414)
⇒ x =21.02
⇒ x = 21 feet
Therefore, the height of the tree is 21 feet if manny stands 512 feet tall, and his shadow is 414 feet long. The tree's shadow extends 17 feet in length.
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Your question is incomplete, probably the complete question is:
One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head. Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?
refer to the following equation:y=2x-1. complete the table below to find co-ordinates
Answer:
Step-by-step explanation:
y=2x1-
So this is a very simple question.
First, analyze the problem
It says y=2x-1
The answer is +1 or 1 I believe
Someone pls correct me If I'm wrong.
Help! Quadratic Word Problems!
Answer:
Step-by-step explanation:
Please show me how to solve this: Katie and Tara are making crafts for their school's craft fair. For every 7 Tara makes, Katie makes 9. If they made a total of 240 crafts, how many did each girl
make?
Answer:
Tara makes 7x =7*15 = 105 crafts and Katie made 9x = 9*15 = 135 crafts.
Step-by-step explanation:
Crafts tara and katie make resoectively are in the ratiob 7:9. Let's say 7x and 9x.
Now,
7x + 9x = 240
so, x = 240/16
so, x = 15
Which inequality correctly compares 125%, 0.47, and three and two fifths? 125% < 0.47 < three and two fifths 0.47 < 125% < three and two fifths 0.47 < three and two fifths < 125% three and two fifths < 0.47 < 125%
The inequality that correctly compares the numbers is 0.47 < 125% < three and two fifths
How to determine the inequality that correctly compares the numbers?The numbers are given as:
125%, 0.47, and three and two fifths
Rewrite properly as:
125%, 0.47, and 3.4
Express the percentage as decimal
1.25, 0.47, and 3.4
Reorder the numbers in ascending order
0.47, 1.25 and 3.4
Rewrite as
0.47, 125% and three and two fifths
Include the less than inequality symbol
0.47 < 125% < three and two fifths
Hence, the inequality that correctly compares the numbers is 0.47 < 125% < three and two fifths
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AP Calculus ab question: what is the derivative function, f'(x), using the definition of derivative for : f(x) = 3/(x+1)
Answer:
Solved using 2 different methods, used the definition of derivative aswell.
About how much will the eggplants cost if they brought 3 and they are $1.99 per pound and 3 eggplants weight 3 3/4 pounds
Answer:
6.4675
Step-by-step explanation:
Q1. Elizabeth has a bunch of red, yellow and white roses.
She chooses a rose at random.
The probability that she chooses a yellow rose is 0.1
The probability that she chooses a white rose is 0.2
(a) What is the probability that Elizabeth chooses a rose that is either yellow or
white?
(b) What is the probability that Elizabeth chooses a red rose?
(c) There were ten roses in the bunch originally
How many roses were red?
Answer:
a) 0.02
b) 0.7
c) 7
Step-by-step explanation:
0.2 × 0.1
1 - (0.2 + 0.1)
10 - (2+1)
IS 303 2022 Summer Packet for Incoming
Ms. Hamilton wants to put a decorative iron fence (rather like Winnie's in Tuck Everlasting)
around her yard. The yard is a perfect rectangle: its length is 24.75 feet and its width is 12.75
feet. Home Depot charges $50 a yard for iron fencing.
66.) How many feet of fencing does Ms. Hamilton need to buy?
67.) What do you call the distance around a rectangle?
Math in the Real World (Leave in packet)
68.) Write a detailed explanation of at least 3 ways that you used math this summer (other
completing this packet). How did these skills help you be successful in the real world? W
skills do you hope to develop this year in math?
66) The number of feet of fencing that Ms. Hamilton needs to buy is 75 feet.
67) The distance around a rectangle is called a perimeter.
68) What are the instances of the use of Maths skills?The use of Mathematics skills is all-encompassing. Every activity involves some mathematical calculations and the use of mathematical operations, like additions, subtractions, divisions, and multiplication.
When you visit a Merchandise Store, you undertake some mathematical activities by computing how much is needed and the balance you will get. Future projections depend on maths skills.
For instance, budgeting how much it costs you weekly to maintain your hairstyle also involves maths skills.
As you return to school after the summer breaks, you decide how much savings you must spend. It is maths. Any time calculations are involved, it requires maths.
Data and Calculations:Length of the yard = 24.75 feet
Width of the yard = 12.75 feet
Perimeter of the yard = 75 feet (24.75 + 12.75)2
Charges for a yard of iron fencing = $50 per yard
3 feet = 1 yard
75 feet = 25 yards (75/3)
The cost of 25 yards = $1,250
Thus, Ms. Hamilton will need to spend $1,250 on this decorative iron fence project.
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5 times a number is 36 less than the square of that number. Find the negative solution.
In linear equation , the negative solution is x = -4 .
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.Let's assume that the number is x
Now according to the question,
When 36 is subtracted from the square of a number, the result is 5 times the number.
x² -36 = 5x
x² -5x -36 = 0
x²- 9x + 4x -36 = 0
x ( x - 9) +4( x - 9 ) = 0
(x-9) ( x + 4 ) = 0
x = 9 , -4
So the negative solution is x = -4
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Every day a new puzzle is downloaded into Ken's account. Right now, there are 27 puzzles in his account. The function N ( d ) = 27 + d represents the relation between the number of puzzles, N , and the time, d , measured in days.
Answer:
What's the question?
Step-by-step explanation:
Why do we use parenthesis if an interval is infinite on both boundries?
We use parenthesis if an interval is infinite on both boundries in order to exclude end-points .
Square brackets mean the set of all points from a to b .
If we use square brackets , it would mean we are including - infinity and + infinity , which is practically impossible .
When we , use parenthesis only the nos . lying between the two points are taken into consideration , the two points are not included .
So , we use parenthesis to exclude - infinity and + infinity .
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Copy and complete the table of values for
y = -2x² + 4x + 9.
What numbers replace A and B?
Answer:
Below in bold.
Step-by-step explanation:
A = value of y when x = -1:
A = -2(-1)^2 + 4(-1) + 9
= -2*1 - 4 + 9
= -2 - 4 + 9
= 3.
B = value of y when x = 2:
B = -2(2)^2 + 4(2) + 9
= -2*4 + 8 + 9
= - 8 + 8 + 9
= 9.
1) 10 3/4 gallons of gas costs $21.50.
What is the cost per gallon
Marty needs to subtract a number by 0.01. What decimal place should he subtract from?
A.
tenths
B.
hundredths
C.
thousandths
D.
ones
Answer:
A. tenths
because there's only two digits after a comma
Which statements accurately describe the function f(x) = 3(√18)x? Select three options.
The domain is all real numbers.
The range is y > 3.
The initial value is 3.
The initial value is 9.
The simplified base is 3√2.
Answer:
The domain is all real numbers.
The initial value is 3.
The simplified base is 3√2.
The statements accurately describe the function f(x) = 3(√18)x are:
The domain is all real numbers.
The initial value is 3.
The simplified base is 3√2.
What is Function?A function is an expression that illustrates the connection between two or more variables and numbers. A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.
We have function,
f(x) = 3√18 x
now, simplifying the function we get
f(x) = 3 (3√2)x
f(x) = 9x√2
So, we can conclude that.
The domain is all real numbers.
The initial value is 3.
The simplified base is 3√2.
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In the pyramid of Khafre, AC = 108 m and angle A = 53°. Find the height of the pyramid (BC) to the nearest whole meter
The length of BC to the nearest while meters is 143m
SOH CAH TOAGiven the following parameters
AC = 108 m
<A = 53°
Using the SOH CAH TOA identity
tan 53 = opp/hyp
tan53 = BC/108
Determine the measure of BC
BC = 108tan53
BC = 143.32m
Hence the length of BC to the nearest while meters is 143m
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Whats 21 - 20 x 2? (Hint: the most used number and the last number)
Answer:
-19Step-by-step explanation:
Whats 21 - 20 x 2?
remember PEMDAS21 - 20 x 2 =
21 - 40 =
-19
