The table of values below shows data for a five-word spelling test. Number of Letters vs. Percentage who Spelled Correctly Word Number of letters in the word Percentage of students who spelled the word correctly 1 7 48 2 9 12 3 5 73 4 6 59 5 8 27 Which describes how the data for word 2 should be plotted on a coordinate grid? From the origin, go 2 units to the right and 9 units up. From the origin, go 2 units to the right and 12 units up. From the origin, go 9 units to the right and 12 units up. From the origin, go 12 units to the right and 9 units up.

Answers

Answer 1

Answer:

I'm pretty sure it would be B; go 2 units to the right and 12 units up.

Step-by-step explanation:

the question is asking for the percentage that got it right not the number of letters in the word, and 9 is the number of letters, and 12 is the number that got it right.

Answer 2

The correct data for 2 in coordinate grid will be from the origin, go 9units to the right and 12units up.

How to locate a point on graph?

To locate a point having coordinate (x,y) in graph, we have to go x direction right or left depending on the sign of x-coordinate(for right +,for left -), then we have to go y direction up or down depending on the sign of y-coordinate(for up +,for down -).

The graph is done by taking Number of letters in the word in x axis and Percentage of students who spelled the word correctly in y axis.

According to the table, it is clear that for data 2 Number of letters in the word is 9. so x=9

And Percentage of students who spelled the word correctly is 12

so y=12

So the coordinate of the point for data 2 is (9,12)

To locate the point (9,12) in coordinate grid we have to go 9units to the right in x axis and then we have to go 12units up in y axis direction.

Therefore The correct data for 2 in coordinate grid will be from the origin, go 9units to the right and 12units up.

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Related Questions

Which statement is an example of the transitive property of congruence?
O A. If AKLME APQR, then APQR=ASTU.
O B. If AKLME APQR and APOR=ASTU, then AKLME ASTU.
C. AKLM: AKLM.
O D. If AKLME APOR, then APORE AKLM.

Answers

Answer:

  B.  If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU

Step-by-step explanation:

The transitive property in general says ...

  if a=b and b=c, then a=c

The transitive property of congruence replaces the equal sign with a congruence symbol, and replaces a, b, c with any geometric figure. Here, the geometric figures used are triangles KLM, PQR, and STU.

  If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU

Given the reaction at equilibrium:
N2(g) + O2(g) + energy +2 NO(g)
Which change will result in a decrease in the amount of NO(g) formed?
A)
decreasing the pressure
B)
decreasing the concentration of N2(g)
C)
increasing the concentration of O2(g)
D)
increasing the temperature

Answers

I think answer is a. Please give me brainlest I hope this helps let me know if it’s correct or not

The amount of NO can be decreased by decreasing the concentration of N2(g).

What is equilibrium?

The term equilibrium refers to the point at which the rate of the forward reaction and the rate of the reverse reaction are the same.

We have the reaction; N2(g) + O2(g) + energy ------>2 NO(g), in order to drive this reaction in the reverse direction, the concentration of N2(g) can be decreased.

Learn more about equilibrium: https://brainly.com/question/14227610

The number of new cars (c) a ship carries can’t exceed 975

Answers

Answer:

That may or may not be true, depending one the ship size.

Step-by-step explanation:

'Can't really give a proper answer, to somethings that's not a q. *shrug*

Just give me the answer no expiation.

Answers

Answer:

b. 424

Step-by-step explanation:

it gives the equation N=41b+137

N=41(7)+137

N=424

what is the minimum amount of real solutions a quintic polynomial can have

Answers

Answer:

1

Step-by-step explanation:

I'm not sure if this is right, but I think it's 1. If you think about the simplest quintic polynomial, x^5, and set it to any real number, you'll always get 1 solution. I don't think it's possible to have 0 or no real solutions. Hope this helps!

1 this is the answer and I must have 20 characters

What’s the correct answer for this?

Answers

Answer:

C = 10 units²

Step-by-step explanation:

AB is 4 units long AC is 5 units long(by distance formula)

call AB and AC the base and height respectively. Multiply them, divide by 2: 4x5=20

20/2 = 10

C=10unit squared. I think

What is the value of x in the product of powers below? 6 Superscript 9 times 6 Superscript x = 6 squared Negative 11 negative 7 7 11 NEED IT QUICK

Answers

Answer:

  -7

Step-by-step explanation:

(6^9)(6^x) = 6^2

Taking logarithms to the base 6, we have ...

  9 + x = 2

  x = -7 . . . . . subtract 9

Answer:

-7

Step-by-step explanation:

Find the sum
(2x−6)+4(x−3)
ANSWER QUICKLY PLEASE!!

Answers

Answer:

6x - 18

Step-by-step explanation:

(2x - 6) + 4(x - 3) =

= (2x - 6) + 4x - 12 =

= 2x - 6 + 4x - 12 =

= 2x + 4 - 6 - 12 =

= (2x + 4x) + (-6 - 12) =

= 6x - 18

a green and a red die are tossed. what is the probability that a 4 shows
on the green die and a 5 shows on the red die.

Answers

Answer:

1/36

Step-by-step explanation:

The probability of getting green is 1/6

and the probability of getting red is 1/6.

Now,we want to know the probability of getting red and green. In probability,the word 'and' means times.

So it would be;

1/6 times 1/6

= 1/36

what was disney’s reaction to seeing pixar’s first proposal of toy story?

Answers

We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.

Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.

hope this helps!

Answer:

We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.

Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.

Step-by-step explanation:

p(x) is a polynomial p(x) divided by (x-9) has a remainder of 1. P(x) divided by (x-4) has a remainder of 7. P(x) divided by (x+4) has a remainder of 0. P(x) divided by (x+9) has a remainder of -5

P(4)=?

P(-9)=?

Answers

Answer:

[tex]P(4)=7\,,\,P(-9)=-5[/tex]

Step-by-step explanation:

Given:  P(x) has a remainder 1 when divided by  [tex]x-9[/tex], P(x) has a remainder 7 when divided by [tex]x-4[/tex], P(x) has a remainder 0 when divided by  [tex]x+4[/tex] and P(x) has a remainder -5 when divided by [tex]x+9[/tex]

To find: [tex]P(4),P(-9)[/tex]

Solution:

According to remainder theorem, when a polynomial [tex]P(x)[/tex] is divided by a polynomial [tex]x-a[/tex], the remainder obtained is equal to [tex]P(a)[/tex].

As P(x) has a remainder 7 when divided by [tex]x-4[/tex],

[tex]P(4)=7[/tex]

As P(x) has a remainder -5 when divided by [tex]x+9[/tex],

[tex]P(-9)=-5[/tex]

You are given the five number summary from a set of data as follows: Minimum=5, Q1=7, Median=8, Q3=11.5 and Maximum=15. Explain how to find the difference between the Range and the Interquartile Range. Find this difference.

Answers

Answer:

a) Range =10

b) inter quartile range = 4.5

Step-by-step explanation:

Explanation:-

Given minimum =5

             Median=8

 upper quartile  (Q3) =11.5

Lower quartile range= 7

                Maximum=15

a)  Range = maximum value -minimum value

           = 15 -5

          = 10

b) Interquartile Range = median of upper half - median of lower half

                               =   Q₃- Q₁

                               =   11.5 - 7

                               =   4.5    

                       

If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?
04
08
O 12
0 16

Answers

(0,12). The y-intercept is shown in the equation as +12.

You are a local startup company working on a smart dashboard camera system. You are bidding to be a supplier for both Ford Motor company and General Motors. Both the companies have a two-tier system where suppliers are approved in two separate phases. A company can move on to Phase II if they have passed the Phase I phase. Historical data points that for a startup company like yours, the chances of landing with a supplier contract with Ford Motor Company is 32% in Phase I while it is 64% in Phase II. However, for General Motors, the chances of success for Phase I is 68% and 36%. Using this information, calculate the following:

(a) What is the probability of your company becoming a successfully approved supplier to Ford Motor Company? Use a tree diagram and standard notations for full credit.(b) What is the probability of your company becoming a successfully approved supplier to General Motors? Use a tree diagram and standard notations for full credit.

Answers

Answer:

(a) The probability of the company becoming a successfully approved supplier to Ford Motor Company is 0.2048.

(b) The probability of the company becoming a successfully approved supplier to General Motors Company is 0.2448.

Step-by-step explanation:

A local startup company working on a smart dashboard camera system is bidding to be a supplier for both Ford Motor company and General Motors.

Both the companies have a two-tier system where suppliers are approved in two separate phases.

It is provided that a company can move on to Phase II if they have passed the Phase I phase.

(a)

The chances of landing with a supplier contract with Ford Motor Company is 32% in Phase I while it is 64% in Phase II.

That is:

P (Phase I) = 0.32

P (Phase II | Phase I) = 0.64

Consider the tree diagram below.

Compute the probability of the company becoming a successfully approved supplier to Ford Motor Company as follows:

P (Supplier to Ford Motor Company) = P (Phase II | Phase I) × P (Phase I)

                                                             [tex]=0.64\times 0.32\\=0.2048[/tex]

Thus, the probability of the company becoming a successfully approved supplier to Ford Motor Company is 0.2048.

(b)

The chances of landing with a supplier contract with General Motors is 68% for Phase I and 36% for Phase II.

That is:

P (Phase I) = 0.68

P (Phase II | Phase I) = 0.36

Consider the tree diagram below.

Compute the probability of the company becoming a successfully approved supplier to General Motors as follows:

P (Supplier to General Motors Company) = P (Phase II | Phase I) × P (Phase I)

                                                                    [tex]=0.36\times 0.68\\=0.2448[/tex]

Thus, the probability of the company becoming a successfully approved supplier to General Motors Company is 0.2448.

write the linear function if f(0)=5 and f(2)=35

Answers

Answer: y=15x+5

Step-by-step explanation:

Looking at what we are given, we can tell that the y-intercept is 5. To ge tthe slope, you use [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]. With the slope , you get 15.

Please answer this correctly

Answers

w=18. you have to cross multiply

What’s the correct answer for this? Which value is equivalent to sin 20?

Answers

Answer:

So the value of sin20 = 0.342

Step-by-step explanation:

The value proportional or equivalent to sin20 can be gotten from calculator value directly or from a graph.

But right niw the most suitable answer is the value for the calculator because its difficulty and complications have been reduced

So the value of sin20 = 0.342

Pwease hewp me pwease shanks lob u

Answers

Answer:

a = 3

b = 12

c = 13

Step-by-step explanation:

[tex] \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } = {2}^{c} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ \\ \frac{ {2}^{5}. {( {2}^{3}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ {( {2}^{3}) }^{4} = { ({2}^{a}) }^{4} \\ {2}^{3} = {2}^{a} \\ \huge \red{ \boxed{a = 3}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ \frac{ {2}^{5}. { ({2}^{3} )}^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ { ({2}^{3} )}^{4} = { {2}^{b} } \\ {2}^{12} = { {2}^{b} } \\ \huge \purple{ \boxed{b = 12}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = {2}^{c} \\ \frac{ 16 \times 2. {( {2}^{3}) }^{4} }{16} = {2}^{c} \\ 2 \times {2}^{12} = {2}^{c} \\ {2}^{13} = {2}^{c} \\\huge \orange{ \boxed{ c = 13}}[/tex]

Which number is the largest

Answers

Step-by-step explanation:

0.153 is the largest number

Answer:

I believe 0.153 to be the greatest

Step-by-step explanation:

0.153

15%= 0.15

1/12= 0.0833333

1/7= 0.1428571429

Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the numerous types of solder defects (e.g., pad non-wetting, knee visibility, voids) and even the degree to which a joint possesses one or more of these defects. Consequently, even highly trained inspectors can disagree on the disposition of a particular joint. In one batch of 10,000 joints, inspector A found742that were judged defective, inspector B found745such joints, and1145of the joints were judged defective by at least one of the inspectors. Suppose that one of the 10,000 joints is randomly selected.

(a) What is the probability that the selected joint was judged to be defective by neither of the two inspectors? (Enter your answer to four decimal places.)


(b) What is the probability that the selected joint was judged to be defective by inspector B but not by inspector A? (Enter your answer to four decimal places.)

Answers

Answer:

a

The probability that the selected joint was judged to be defective by neither of the two inspectors is   [tex]P(A' n B' ) = 0.8855[/tex]

b

The probability that the selected joint was judged to be defective by inspector B but not by inspector A  is  [tex]P(A' n B) =0.0403[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is [tex]n_s = 10000[/tex]

    The number of outcome for inspector A is  [tex]n__{A}} = 742[/tex]

    The number of outcome for inspector B is  [tex]n__{B}} = 745[/tex]

     The number of joints judged defective by both inspector is [tex]n(A u B) = 1145[/tex]

The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

      [tex]P(A' n B' ) = 1 - P(A u B)[/tex]

Now

       [tex]P(A\ u \ B) = \frac{n(Au B)}{n_s }[/tex]

substituting values

        [tex]P(A\ u \ B) = \frac{1145}{ 10 000 }[/tex]

So  

      [tex]P(A' n B' ) = 1 - \frac{1145}{10 000}[/tex]

     [tex]P(A' n B' ) = 0.8855[/tex]

the probability that the selected joint was judged to be defective by inspector B but not by inspector A  is mathematically represented as

     [tex]P(A' n B) = P(A \ u \ B) -P(A)[/tex]

Now

        [tex]P(A) = \frac{n__{A}}{n_s}[/tex]

substituting values

       [tex]P(A) = \frac{742}{10 000}[/tex]

So

     [tex]P(A' n B) = \frac{1145}{10 000} - \frac{742}{10 000}[/tex]

    [tex]P(A' n B) =0.0403[/tex]

If the gardener can fill the border with 30 flowers planted 12 inches apart, how far apart should the gardener plant 36 flowers instead?

Answers

Answer:

10 inches

Step-by-step explanation:

This inversely proportional function, the more flowers - the less distance.

Flowers = k/distance

30 = k/12

k = 30*12 = 360

Flowers = 360/distance

New number of flowers and new distance:

Flowers = 360/distance

36 = 360/distance

distance = 360/36= 10 (inches)

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.

Answers

Answer:

5x - 1

Step-by-step explanation:

f(x) = 3x - 2

g(x) = 2x + 1

(3x - 2) + (2x + 1)

3x + 2x = 5x

-2 + 1 = -1

Answer: 5x - 1

Which linear function has the same y-intercept as the one that is represented by the graph?

On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is labeled y with entries negative 26, negative 14, 34, 46.

Answers

The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.

What are functions?

Functions is the relationship between sets of values. And shows their characteristic curve as well.

Here, the curve shows in the graph as y intercept of 10 on y axis, is linear function. From options we have only one option that show the same y intercept y = 10.
That linear function ⇒ y =6x+18 (obtained from option D).

Thus, the linear function y = 6x +10 has the same y intercept as the one that is represented by the graph.

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Answer:

The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.

Step-by-step explanation:

What is the measure of the whole angle?

Answers

Answer:

130

Step-by-step explanation:

60° + 70° = x

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 60 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

60 + 70 = x

→ Simplify

130 = x

x = 130°

Given y = 4x + 3, what effect does changing the equation to y = 4x - 3 have on the y-intercept?
A)
graph becomes steeper
B)
no change to y-intercept
C)
graph moves down 3 units
D)
graph moves down 6 units​

Answers

Answer:

graph moves down 6 units​

Step-by-step explanation:

Y intercept of a line is point on y axis where the line crosses the y-axis.

Since the line is of the slope intercept form y = mx+ c

where m is slope of line and c is y intercept

_________________________________________________

Equation of old line : y = 4x + 3

then for equation y = 4x + 3

m: 4 and c = 3

Thus y intercept is +3 unit above the X axis

_________________________________________________

Equation of new line : y = 4x - 3

Similarly based on above explanation

m: 4 and c = -3

Thus y intercept is +3 unit below the X axis.

Thus we can see that y intercept has moved downward

Lets calculate no. of units it moved downward

Distance between them is 3 - (-3) = 6 unit

Thus graph moved 6 units downwards.

Steepness of graph depends on slope of line. The slope is 4 for both the lines and hence there is no change in steepness.

Thus correct answer is graph moves down 6 units​

V3

The angle 01 is located in Quadrant III, and sin(01) =

2

What is the value of cos(01)?

Express your answer exactly.

Answers

Question:

The angle [tex] \theta_1[/tex] is located in Quadrant III, and [tex] sin(\theta_1) = - \sqrt{\frac{3}{2}} [/tex].

What is the value of [tex] cos(\theta_1)[/tex] ?

Express your answer exactly. [tex] cos(\theta1) = [/tex] ________

Answer:

[tex] cos(\theta_1) = - \frac{1}{2} [/tex]

Step-by-step explanation:

Given:

[tex] sin(\theta_1) = - \sqrt{\frac{3}{2}} [/tex]

Since the angle [tex] \theta_1[/tex] is located in Quadrant III, we have:

[tex] sin(\theta_1) = sin(\pi + \frac{\pi}{3}) [/tex]

[tex] \theta_1 = \pi + \frac{\pi}{3}[/tex]

[tex] \theta_1 = \frac{4 \pi}{3}[/tex]

Thus, [tex] cos(\theta_1) [/tex] =

[tex] cos(\theta_1) = cos(\pi + \frac{\pi}{3}) [/tex]

[tex] cos(\theta_1) = -cos(\frac{\pi}{3}) [/tex]

[tex] cos(\theta_1) = - \frac{1}{2} [/tex]

Find the value of x in the
following parallelogram:
2x - 10
2x + 50

Answers

Answer:

the value of x = 35 ( NOT - 40 )

Step-by-step explanation:

In order to calculate the value of x in the  following parallelogram:  2x - 10  

2x + 50, we would have to calculate the following formula:

m<QPS+m<PQR=180°

According to the given data we have the following:

m<QPS=2x - 10  

m<PQR=2x + 50

Therefore, 2x - 10+2x + 50=180

4x+40=180

x=140/4

x=35

The value of x is 35 because in a parallelogram sum of the two adjacent angles is equal to 180 degree

What is parallelogram?

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know,

In a parallelogram sum of the two adjacent angles is equal to 180 degree

2x - 10 + 2x + 50 = 180

4x + 40 = 180

4x = 140

x = 35

Thus, the value of x is 35 because in a parallelogram sum of the two adjacent angles is equal to 180 degree

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If b (middle term) is negative and c (last term is positive) then what do you know about the two factors? ex. 2x^2-7x+6

Answers

Answer:

  signs of the constants in the binomial factors are negative

Step-by-step explanation:

Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.

  2x^2 -7x +6 = (x -2)(2x -3)

__

Further comment

c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.

b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.

In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.

An advertising executive claims that there is a difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold. A random survey of 1010 Visa Gold cardholders resulted in a mean household income of $50,930$ 50,930 with a standard deviation of $9500$ 9500. A random survey of 66 MasterCard Gold cardholders resulted in a mean household income of $45,720$ 45,720 with a standard deviation of $9800$ 9800. Is there enough evidence to support the executive's claim? Let μ1μ1 be the true mean household income for Visa Gold cardholders and μ2μ2 be the true mean household income for MasterCard Gold cardholders. Use a significance level of α=0.01α=0.01 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.

Answers

Answer:

We conclude that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold.

Step-by-step explanation:

We are given that a random survey of 10 Visa Gold cardholders resulted in a mean household income of $50,930 with a standard deviation of $9500.

A random survey of 66 MasterCard Gold cardholders resulted in a mean household income of $45,720 with a standard deviation of $9800.

Let [tex]\mu_1[/tex] = true mean household income for Visa Gold cardholders.

[tex]\mu_2[/tex] = true mean household income for MasterCard Gold cardholders.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex]     {means that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1\neq \mu_2[/tex]     {means that there is a difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold}

The test statistics that would be used here Two-sample t test statistics as we don't know about the population standard deviations;

                         T.S. =  [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex]  ~ [tex]t__n__1-_n__2-2[/tex]

where, [tex]\bar X_1[/tex] = sample mean household income for Visa Gold cardholders = $50,930

[tex]\bar X_2[/tex] = sample mean household income for MasterCard Gold cardholders = $45,720

[tex]s_1[/tex] = sample standard deviation for Visa Gold cardholders = $9,500

[tex]s_2[/tex] = sample standard deviation for MasterCard Gold cardholders = $9,800

[tex]n_1[/tex] = sample of Visa Gold cardholders = 10

[tex]n_2[/tex] = sample of MasterCard Gold cardholders = 6

Also, [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex]  = [tex]\sqrt{\frac{(10-1)\times 9,500^{2} +(6-1)\times 9.800^{2} }{10+6-2} }[/tex] = 9,608.22

So, the test statistics  =  [tex]\frac{(50,930-45,720)-(0)}{9,608.22 \times \sqrt{\frac{1}{10} +\frac{1}{6} } }[/tex]  ~ [tex]t_1_4[/tex]

                                    =  1.05

The value of t test statistics is 1.05.

Now, at 0.01 significance level the t table gives critical values of -2.977 and 2.977 at 14 degree of freedom for two-tailed test.

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold.

Kendra was asked to find the number of students who planned to attend the evening symphony performance. She was told that 40 percent of the 50 students planned to attend. Kendra’s work is shown below.

Answers

Answer:

Kendra should of divided by 2

Step-by-step explanation:

Answer: B

Step-by-step explanation:

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