Asynchronous activity

Complete Question

A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table

Factor

Personal Friend,Stay in Touch,Mutual Friends,Business Networking Other

Men           600 210 106 45 40

Women      650 224 65 15  46

What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?

a. 0.5

b. 5

c. 7.5

d. 30

e. 45

Answer:

Correct option is C

Step-by-step explanation:

From the question we are told that:

Sample

\(n =1,000 men+ 1,000 women\)

Factor  Table

Personal Friend,Stay in Touch,Mutual Friends,Business, Networking Other

Men           600 210 105 45 40

Women      650 224 65 15  46

Generally the equation for Expected value for Men, Business and networking X is mathematically given by

\(X= \frac{Row Total * Column Total}{Grand Total}\)

\(X=\frac{(600 + 210 + 105 + 45 + 40)*(45 + 15)}{(600 + 210 + 105 + 45 + 40 + 650 + 224 + 65 + 15 + 46)}\)

\(X=30.015\)

Generally the equation for Chi Contribution is mathematically given by

\(Y= {(45 - 30.015)^2}{30.015}\)

\(Y=7.48\)

\(Y \approx 7.5\)

Therefore

Correct option is C

The contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5

The expected value is calculated as:

\(X = \frac{RT * CT}{GT}\)

Where:

RT represents the row total, CT represents the column total and GT represents the grand total.

For Men, Business and networking, we have:

\(X = \frac{(600+ 210 +105+45 + 40) * (45 + 15)}{(600 +210 +105 +45 +40 +650 +224 +65 +15 +46)}\)

Evaluate the sum

\(X = \frac{1000 * 60}{2000}\)

\(X = 30\)

The contribution to the chi square test statistic for men who selected business networking is then calculated as:

Y = (Business Networking - X)^2 / X

This gives

\(Y = \frac{(45 - 30)^2}{30}\)

Evaluate the difference

\(Y = \frac{15^2}{30}\)

Evaluate the exponent

\(Y = \frac{225}{30}\)

Evaluate the quotient

\(Y = 7.5\)

Hence,  the contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5

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Answer:

10 and ten-elevenths

Step-by-step explanation:

x = 2 + _/3

(x-1/x)^3

(2+_/3)^3 - (1÷2+_/3)^3

= (8 + 3) - 1 ÷ (8 + 3)

= 11 - 1/11

= 10 10/11

The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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The equation for the surface with all points which are equidistant of (−1,0,0)and the plane x=1 is x² - 2x + y² + z² = 2.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of two sides separated by an equal sign (=).

To start with, let's consider the given information. We have been given that all points on the surface are equidistant from (-1,0,0) and the plane x=1. This means that the distance between any point on the surface and (-1,0,0) is the same as the distance between that point and the plane x=1.

We can use the formula for the distance between a point and a plane to derive an equation for the surface. The formula for the distance between a point (x1, y1, z1) and a plane Ax + By + Cz + D = 0 is given by:

distance = |Ax1 + By1 + Cz1 + D| / √(A² + B² + C²)

In our case, the plane is x=1, which can be written as x - 1 = 0. So, A=1, B=0, C=0, and D=-1. The point (-1,0,0) can be substituted as x1=-1, y1=0, and z1=0.

We can simplify the distance formula to:

distance = |x-1|

Now, since all points on the surface are equidistant from (-1,0,0) and x=1, we can set up the following equation:

|x-1| = √( (x+1)² + y² + z² )

Squaring both sides and simplifying, we get:

(x-1)² = x² + 2x + 1 + y² + z²

Rearranging and simplifying, we get the final equation for the surface:

x² - 2x + y² + z² = 2

This is the equation of the surface that contains all points that are equidistant from (-1,0,0) and x=1.

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Answer:

d  = -15/16

Step-by-step explanation:

To solve for D, you have to get D alone on one side of the equation (one side of the equal sign).

So get rid of the other numbers that are being added or subtracted to d first. To do that, you have to do the opposite of what is being done.

So u have +5 on the left, you have to minus it to get rid of it. Whatever you do on one side of the equation, you have to do to the other side

so 16d +5 minus 5 = -10  minus 5

the 5 cancels out on the left   and -10 - 5 = -15

now you have 16d = -15

Now you have to get rid of the 16. It's being multiplied to d so to do opposite is to divide it by 16. And whatever you do on one side, u have to do on the other.

16d divided by 16 = -15 divided by 16

16d/16 = d       -15/16  

So d = -15/16

For the expression, value of d is,

⇒ d = - 15/16

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 16d + 5 = - 10

Now, We can solve the expression as;

⇒ 16d + 5 = - 10

Subtract 5 from both side;

⇒ 16d + 5 - 5 = - 10 - 5

⇒ 16d = - 15

Divide by 16 both side;

⇒ d = - 15/16

Therefore, For the expression, value of d is,

⇒ d = - 15/16

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Answer:

b & d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Two groups were tested to compare their speed at working math problems.

Aim/Objective of experiment:

To test their speed (each group and then compare) at working math problems

Control Group:

The group of students computing math problems without a calculator

Experimental Group:

The group of students computing math problems with a calculator

Statistical Hypothesis:

Null hypothesis: Both the control and the experimental group worked math problems at the same pace or speed

Alternative hypothesis: The experimental group worked math problems with a greater speed than the control group

This hypothesis is derived from the thought or knowledge that calculators help solve math problems faster. Your hope would be to refute the null hypothesis and accept the alternative hypothesis; after testing.

Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

Answer:

events at A and B are independent because P(A)(B)≠P(A)

Answer:

32

Step-by-step explanation:

6+26=32

9514 1404 393

Answer:

Step-by-step explanation:

The contribution margin is the difference between the selling price of a unit and its variable cost. Here, that difference is ...

  $67 -43 = $24 . . . contribution margin

__

The break-even sales will be the number of sales required for the total contribution margin to equal the fixed operating costs:

  $430,000/($24/unit) = 17,916 2/3 units ≈ 17,917 units . . . sales to break even

__

The target sales will be the number of sales to cover fixed costs and $234,000 more.

  ($430,000 +234,000)/($24/unit) = 27,666 2/3 units

  ≈ 27,667 units . . . to achieve target income

The line a and line d are perpendicular to each other.

A perpendicular line is a line that intersect another line at 90 degrees. Perpendicular lines are also called normal lines.

Constructing lines a and d

After constructing the two lines; line a and line intersect or meet each other at 90 degrees to the horizontal.

Thus, we can conclude that the line a and line d are perpendicular to each other.

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Answer:

Which are lines that will intersect?

✔ a and b

Which are perpendicular lines?

✔ b and d

Which are skew lines?

✔ a and c

Answer:

The answer to your question is (7.5.4

Answer:

Equivalent

Step-by-step explanation:

4:5      multiply both sides by 4  to get    16:20    

Answer:

$816

Step-by-step explanation:

ratio would be:

12:96

or:

1:8

so one pound=8 dollars

102x8=816

ANSWER

210

EXPLANATION

In this case, the order of presentation matters. For the first place (gold medal) 7 people can get it. For the second place, since the first was awarded already, 6 people can win the silver medal. And for third place, there are 5 people left.

The number of ways the medals can be awarded is 7*6*5 = 210.

Answer:

244

Step-by-step explanation:

We will see that the evaluated expression is equal to 244.

Evaluating an expression just means that we need to replace the variables by the wanted numbers.

Here we need to evaluate:

2(s+t)³-6

In t = 2 and s = 3, replacing these in the expression we get:

2(3+2)³- 6 = 2*(5)³ - 6 = 2*125 - 6 = 244

So the evaluated expression is equal to 244.

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Answer:

B

Step-by-step explanation:

table B: because when x increases y increases at the same rate and stay the same . the graph has proportional relation when it is a straight line passes through origin

for B :25/20=30/24=40/32=5/4

y=5/4 x

Answer:

11 Books

Step-by-step explanation:

58+8=66

66/6

11

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

The probability is 0.857

Step-by-step explanation:

We know that:

There is a total of 440 cars

There are 63 cars with defective turn signals

There are 39 with defective tires.

Now we want to find the probability that a randomly selected car does not have defective turn signals.

If all the cars have the same probability of being selected, this probability will be equal to the quotient between the number of cars that do not have defective turn signals and the total number of cars.

We know that the total number of cars is 440

And 63 of these have defective turn signals, then the rest don't.

440 - 63 = 377 cars do not have defective turn signals.

Then the probability is:

P = 377/440 = 0.857

The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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Answer:

im pretty sure you tried to say

Write 2^60 as an exponent with a base of:

a) 8

b) 16

c) 32

the answer is :

8^20 (eight to the twentieth power)

\(2^{60}\) is equivalent to \(16^{15}\).

We can rewrite the expression by means of the following power property, that is to say:

\(a^{b\cdot c} = (a^{b})^c\), \(a, b, c\in \mathbb{N}\) (1)

Where \(a\) and \(a^{b}\) are bases.

If we know that \(a = 2\) and \(b\cdot c = 60\), then the equivalent expression is:

\(2^{60} = 2^{4\cdot 15} = (2^{4})^{15} = 16^{15}\)

Hence, \(2^{60}\) is equivalent to \(16^{15}\).

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There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

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