Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.

What is the first error she made in computing the variance?

Emi failed to find the difference of 89 - 78 correctly.

Emi divided by N - 1 instead of N.

Emi evaluated (46 - 78)^2 as -(32)^2.

Emi forgot to take the square root of -135.6.

Answers

Answer 1

The error she made is Emi evaluated (46-78)² as - (32)² is wrong.

What is variance?

Variance is calculated as the average of squared differences of the data observations from the mean.

Given data: 87, 46, 90, 78, and 89.

Here, the first Emi find the difference of 89 - 78 correctly.

Now, Emi division is also correct.

Now, Emi evaluated (46 - 78)^2 as -(32)^2 is wrong.

(46-78)² = (-32)²

Here she used the negative sign outside.

Hence, Emi evaluated (46 - 78)^2 as -(32)^2 is wrong.

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Answer 2

Answer:

C.) Emi evaluated (46 - 78)2 as -(32)2.

Step-by-step explanation:

Related Questions

4.9t+0.3=5.6t+0.72 I need help on my work lol

Answers

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this. What is given to us to accomplish that goal is the expression [tex]4.9t+0.3=5.6t+0.72[/tex].

Now that we have completed that step, we can move onto the next part which is actually solving the problem. The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.

Subtract 4.9t from both sides

[tex]4.9t+0.3=5.6t+0.72[/tex][tex](4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(0.7t)+0.72[/tex]

Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.

Subtract 0.72 from both sides

[tex]0.3=0.7t+0.72[/tex][tex]0.3 - 0.72=0.7t+0.72 - 0.72[/tex][tex]0.3 - 0.72=0.7t[/tex][tex]-0.42=0.7t[/tex]

The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42

Divide both sides by 0.7

[tex]-0.42=0.7t[/tex][tex]\frac{-0.42}{0.7}=\frac{0.7t}{0.7}[/tex][tex]\frac{-0.42}{0.7}=t[/tex][tex]-0.6=t[/tex]

Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6

What is the simplified value of the expression below?

12.4 x (negative 6.3)
–78.12
–1.97
1.97
78.12

Answers

The simplified value of 12.4 x (negative 6.3) is -78.12

How to simplify the expression?

The expression is given as:

12.4 x (negative 6.3)

Rewrite properly as:

12.4 x (-6.3)

Evaluate the product using a calculator

-78.12

Hence, the simplified value of 12.4 x (negative 6.3) is -78.12

Answers

The answer will be 1.59 hope it help

If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 33 feet from the building how tall is the building?

Answers

Answer:

Formulate

Based on the given conditions, formulate:

[tex] \sqrt{3 {9}^{2} } - 3 {3}^{2} [/tex]

Evaluate

Evaluate the equation/expression:

20.78461

SO THE ANSWER IS 20.78461

Answer:

20.78 feet

Step-by-step explanation:

[tex]39^{2} =h^{2} +33^{2} \\1521= h^{2} +1089\\h^{2}= 1521-1089\\h^{2} =432h= 20.78[/tex]

Which type of angle is < 3 ?

Answers

Answer: C

Step-by-step explanation:

See attached image.

There are 13 different bags of candy for a party. Susan randomly selects 7 bags. How many different combinations are there?

Answers

There are 1716 different combinations of the bags

How to determine the number of combination?

The given parameters are:

Total, n = 13

Bags to select, r = 7

The number of combination is calculated using:

[tex]Total = ^{13}C_7[/tex]

Evaluate the combination expression

Total = 1716

Hence, there are 1716 different combinations

Answers

The distance between rhea and her friend's house could be 8 km and The distance of the library from the rocks house could be 15 km.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.

Her friend Ronan's house is due north of her house.

After showing him the new scooter she went to the library which is due west from rocks house.

while returning back she drove 17km diagonally to her house.

By Pythagoras' theorem

|AC|^2 = |AB|^2 + |BC|^2

Here we can assume that

AB = The distance between rhea and her friend's house.

BC = The distance of the library from rocks house.

The triplet of the 17 would be (8, 15, 17)

So, we can say that the AB could be 8 km and BC could be 15 km or vice versa.

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The number of slugs in a garden t days from now is p, where
Po= 100
Pt+1= 1.06pt
ork out the number of slugs in the garden 3 days from now.

Answers

Answer:

..........

....

Answer:

119.1

Step-by-step explanation:

Pt+1=1.06x100

P3=106^3x100

=119.1016

The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, StartRoot negative x EndRoot, is not necessarily undefined and what this means about the domain and range of f(x) = StartRoot negative x EndRoot.

Answers

Part A

The reason why the (√(-x)) is not necessarily undefined, is because x is a placeholder, such that x can take on a negative value for which (-x) is a positive number, therefore, √(-x) = √(+ve number) is a defined real number.

Part B

The domain is x ≤ 0

The range is f(x) ≥ 0

What is Real Number?

A real number is a value of a continuous quantity that can represent a distance along a line.

Here, The given and required information:

Given that √(-144) = Undefined, why is √(-x) not necessarily undefined

The given function, f(x) = √(-x)

Part A

The square root of a real number with a negative value is an imaginary number

The square root of a real number with a positive value or zero, is a real number

√(144) = ±12

A variable, x, is an input value of a function that is a quantity place holder in the function which is a function argument

The given function is f(x) = √(-x)

Where;

x = An argument of the function

When x ≤ 0, such that x is a negative real number or zero, we have;

x = R⁻ or 0

Therefore;

-x= -R⁻ or 0 = R⁺ or 0

-x = R⁺

From which we get;

f(-x)= √(-x) = √(R⁺) = Defined

f(-x) = √(R⁺) ≥ 0 The range of the function is f(x) ≥ 0

An example, when x = -16, we have;

-x = -(-16) = 16

√(-x) √(16) = 4 (Defined)

Part B;

Thee domain where the function is defined is where x = -R⁻, x ≤ 0

The output of the function f(x) is defined which is the range = f(x) ≥ 0

Thus, the reason why the √(-x) is not necessarily undefined, is because the value of x can represent a negative real number or zero.

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Answer:

If x is a negative number, then negative x is a positive number and the square root can be determined. Therefore, the domain of the function is x ≤ 0. As a result, the range is never negative either, so it is y ≥0.

Step-by-step explanation:

answer on edge

Question 19 of 25
5x
x²-11x
= 1. Solve for x.
4
O A. X = 16
OB. x= 3
O C. x = 6
OD. x = 22

Answers

Quadratic equations are equation that has degree of 3. The value of x from the quadratic equation is 3

Factorizing the quadratic equation

Quadratic equations are equation that has degree of 3. Given the following equation;

5x²-11x = 1

Equate to zero

5x²-11x - 1 = 0

Find the solution using quadratic solution

[tex]x=\frac{11\pm\sqrt{121-4(5)(-1)}}{2(5)}\\x=\frac{11\pm\sqrt{141} }{10} \\x=\frac{11\pm11.87 }{10} \\x=\frac{22.87}{18}\\ x\approx 3[/tex]

Hence the value of x from the quadratic equation is 3

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Katherine is landscaping her home with juniper trees and pansies. She wants to arrange 15 pansies around each of 8 trees. Each tree costs $20.75 and a six-pack of pansies costs $2.50. Explain how to write an expression to find Katherine’s final cost.

Answers

The mathematical expression that Katherine requires to know the price of the objects that she is going to buy is 8 * ($20.75) + 120 * ($5/12) = $216

How to write an expression for this procedure?

To find a mathematical expression for this procedure we must take into account the values that we know.

For example, we know that it requires 15 pansies for each tree. This can be expressed like this:

15 * 8 = 120 pansies.

On the other hand, we must calculate the price of each tree and the pansies that are going to be used to surround each one as shown below.

Cost of trees = 8 * $20.75Pansies Cost = 15 * ($5/12)

According to the above, the final expression, in which all the necessary data for Katherine is included, is:

8 * ($20.75) + 120 * ($5/12) = $216

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Answer:

Answer From Edge 2023

Step-by-step explanation:

The total cost of the trees must be added to the total cost of the pansies. The tree cost is the cost of one tree times eight. The pansy cost is the cost for 15 pansies multiplied by 8 trees, then divided by the number of pansies in a pack: 20.75(8) + 2.50(15)(8) ÷ 6.

The Algebra Club has decided to rent a convention center for their annual Algebra Gala. The cost for the rental will be split evenly among the attendees, which means that the price per person varies inversely with the number of people attending.

If 25 people attend, the cost will be $30 per person.

How many people would need to attend to get the cost under $20 per person?

A) 28
B) 38
C) 48
D) 58

Answers

B (25*30=750)
(750/20=37.5) and since people are counted round to the nearest whole number so at least 38 people must attend for the price to be under $20

what is the answer to 54785 plus 43543546546546

Answers

43543546601331 is the answer

Is x + 3 a factor of P(x) = x³ - 5x² + 3x + 9 ? Explain.

Answers

Answer:

Step-by-step explanation:

using the Factor theorem.

If (x + h) is a factor of f(x) then f(- h) = 0

for factor (x + 3) then evaluate P(- 3)

P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72

since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)

How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequalities is reversed to y < 2x + Two-thirds and y > 2x + One-third?

Answer: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

Answers

Answer:

Step-by-step explanation:344x-5-p-0-9-but=pmc+m2 something like that

is negative 108.8 rational?

Answers

The number -108.8 is a rational number

How to determine if the number is rational?

The number is given as:

negative 108.8

Rewrite properly as:

-108.8

Rational number have terminating decimals, and they can be represented as fractions.

The fraction equivalent of -108.8 is -1088/10

Hence, the number -108.8 is a rational number

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Consider the expressions 7y + 5 − 3 and 7y + 2. Which statement is true?

Answers

The two expressions are equivalent because they have the same value regardless of the number of substituted in for y

A six-sided number cube is rolled and the proportion of 3s is calculated. The graph shows the long-run relative frequency of 100 rolls of this die. A graph titled proportion of threes has frequency on the x-axis, and probability on the y-axis. The graph increases, and then stays steady around y = 0.17. Which conclusion can be drawn from this graph? There is a 20% chance of rolling a 3 with this die. The long-run frequency of rolling a 3 appears to be about 0.17. Because the probabilities on the left part of the graph fluctuate so much, we cannot conclude that this is a fair number cube. This number cube must be fair because each outcome of rolling a 1, 2, 3, 4, 5, or 6 has the same probability of occurring.

Answers

The conclusion that can be drawn from this graph on the long-run frequency of 100 rolls is The long-run frequency of rolling a 3 appears to be about 0.17.

What does the graph show?

At the 0.17 probability, the proportion of 3s calculated levels off from around the 40th roll to the 100th roll.

This means that the long-run frequency of rolling a 3 is around 0.17 because this was the probability seen for most of the rolls over time.

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consider the given figure

Answers

Step-by-step explanation:

mark me brainlist please!!

the answer is A

Which cross-sectional shapes do you find the most surprising? Explain why.

Answers

By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising.

The cross-section of a three-dimensional object?

In this exercise, you're required to use an online tool to investigate and determine the cross-sections of three-dimensional objects such as pyramids, cylinders, cones, etc., by passing different planes through them.

By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising because rotating the slice around Y produced a circular curve that transitioned into a parabolic curve.

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A cylindrical cup is 15 centimeters in height. When filled to the very top, it holds 450 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning.

Answers

Answer:

The radius of the cup is 3.1 cm.

Step-by-step explanation:

First, we the volume of a right cylinder is [tex]V = πr^{2} h[/tex].

V = volume of the cylinder[tex]π[/tex] = pir = radius of the cylinderh = height of the cylinder

Now, using the information that was given to us, we can plug what we know into the equation: [tex]450=πr^{2}(15)[/tex].

From here, we simply solve for r by isolating it to find the radius. *Remember, what we do to one side we must do to the other.

Divide both sides by 15 to cancel it out on the right: [tex]30=πr^{2}[/tex]Divide both sides by pi to cancel it out on the right: [tex]9.549296586=r^{2}[/tex] (do not round until you have your final answer)Square root both sides to cancel out the exponent on the right: [tex]3.090193616=r[/tex]Round to the nearest tenth to get [tex]r=3.1[/tex]

Given the function f(x)=4x+10 and g(x), which function has a greater slope?

Answers

The complete question is

"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."

The correct option from the given function are A; f(x) has a greater slope.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

The slope of a function in the form of y = mx + C is m,

So the slope in the function

f(x)=4x+10

m = 4

Now when you have a function but you only have a table to evaluate it, to calculate the slope

(p, q) = (4, 7)

(x, y) = (6, 9)

This means that:

[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1[/tex]

Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,

Thus, f(x) has a greater slope than g(x).

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What is the slope of the line that passes through the points (1,3) and (5, -2)?

Answers

Answer: A. - 5/4

Step-by-step explanation:

m = y2-y1/x2-x1

m=3+2/1-5

m=5/-4

A map of sweden shows a scale of 5 cm = 16 km. if the distance between knivsta and stockholm is 17.2 cm on the map how many km is it?

Answers

Answer:

55.04 km

Step-by-step explanation:

17.2 cm / 5 cm = 3.44

16 km x 3.44 = 55.04 km

You could also solve in this fashion:

[tex]\frac{5}{16}[/tex] = [tex]\frac{17.2}{x}[/tex]

16 x 17.2 = 5x

Multiply 16 x 17.2 = 275.20

Divide the 275.20 by 5 = 55.04

Mike pays $285 in rent every week.
How much will he pay in rent for the entire year?

Answers

Answer:

14,820

Step-by-step explanation:

A year has 52 weeks. 285 x 52 = 14820

Answer:

$14820

Step-by-step explanation:

There are 52 weeks in a year. Therefore 285 x 52 = 14820

HURRY I NEED HELP QUICK
Gaira was asked to evaluate the algebraic

expression –3.8x + 6 when x = –7.5.

–3.8(–7.5) + 6(–7.5)

28.5 + (–45)

(–16.5)

Answers

The value of x the function when x = -7.5 is 34.5

Functions and values

Functions are written in terms of variables

Given the expression –3.8x + 6, when the value of x is -7.5, hence;

f(x) = –3.8x + 6

f(-7.5) = -3.8(-7.5) + 6

f(-7.5) = 28.5 + 6

f(-7.5) = 34.5

Hence the value of x the function when x = -7.5 is 34.5

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QUESTION 8
If cos xº = -
OA. 175⁰
OB. 1500
OC. 1350
OD.
120⁰
-√3
2
and 90° A

Answers

Answer:

B. 150

Step-by-step explanation:

What is 95x9 divided by 14?

Answers

Answer:

213.75

Step-by-step explanation:

95×9=855

855÷4=213.75

x:20=5:x
Calculate the positive value of x

Answers

20*5=x^2. 100=x^2. x=10

A quadrilateral has rotational symmetry of order 2 and no line of symmetry. What is the name of this quadrilateral?
a. square
b. rectangle
c. parallelogram
d. rhombus

Answers

Answer:

Step-by-step explanation:

paralallegram can be anything with parrell lines

Answer:

Step-by-step explanation:

A quadrilateral has rotational symmetry of order 2 and no line of symmetry.

A parallelogram has no lines of symmetry because it is impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other.

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