Ms. A. Lee is an advisor for the Walton College of Business and she is often asked by students what they should major in if they want to make a lot of money. Of course, her bias was to recommend the Walton College, but in order to make this recommendation with some evidence behind her she conducted a study in which she compared salaries (6 years after graduation) for a random sample of U. of A. graduates. She divided them into 2 groups: those who graduated from the Walton College and those who had any other major in the university. She entered her data into an Excel spreadsheet as illustrated below.
Walton Alumni Non-Walton Alumni
78000 45000
74000 54000
70000 52000
89000 41000
1. What is the independent variable in this scenario?
2. What is the dependent variable in this scenario?
3. How would you describe the research design in this scenario?
4. Assume Ms. A. Lee concluded there was no difference in salaries between colleges (Walton or Non-Walton), how many conditions to infer causation have been met?

9514 1404 393

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

Use the second equation to write an expression for x:

  x = 1 +y

Substitute that into the first equation:

  (1 +y) +4y = 6

  5y = 5 . . . . . . . . subtract 1, collect terms

  y = 1 . . . . . . . divide by 5

  x = 1 +1 = 2 . . . use the expression for x to find x from y

The solution is (x, y) = (2, 1).

The value of P(95 < X < 115.7) is 0.12294 and value of P(95 < M < 115.7) is 0.98.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

u = 106, σ = 66.9

P(95 < X < 115.7) = P(X < 115.7) - P(X < 95)

Z(X = 115.7) = (x - μ)/σ

= (115.7 - 106)/ 66.9

= 0.14499

P(X < 115.7) =  0.55764

Similarly,

P(X < 95) = 0.4347

P(95 < X < 115.7) = 0.55764 - 0.4347

P(95 < X < 115.7) = 0.12294

For P(95 < M < 115.7) = P(M < 115.7) - P(M < 95)

Using the formula:

\(\rm Z = \dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\)

Z(M = 115.7) = 2.208460

Z(M = 95) = -2.504439

P(95 < M < 115.7) = 0.98639 - 0.0061323 = 0.98

Thus, the value of P(95 < X < 115.7) is 0.12294 and value of P(95 < M < 115.7) is 0.98.

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Based on the intersecting secants theorem:

a. CG*CE = CH*CD

b. length of DH = 10 in.

When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.

a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:

CG*CE = CH*CD

b. Given the following lengths:

CG = 3 in, CH = 2 in, and GE = 5 in

CE = CG + GE = 3 + 5 = 8 in.

CD = CH + DH = 2 + DH

Substitute into CG*CE = CH*CD:

3*8 = 2*(2 + DH)

24 = 4 + 2DH

24 - 4 = 2DH

20 = 2DH

20/2 = DH

DH = 10 in.

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Using elimination method, we get the result  630 + 630 + 35 = n

What is elimination method?

The elimination method involves removing one of the variables from a system of linear equations by adding or subtracting from the system and multiplying or dividing the variable coefficients.

You need an equation that can determine n, 630's total, and 35 more than 630.

More

The value "35 more in June than in May" refers to the value "35 more than 630." That value is represented by the sum (630 +35).

Total two months

In total, there will be two months' worth of delivered papers.

May deliveries + June deliveries = n

630 + (630 +35) = n

Eliminating parentheses, this expression is ...

630 + 630 + 35 = n

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Answer:

-0.970199

Step-by-step explanation:

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Step-by-step explanation:

\( - 3x - 3 = - 3(x + 1) \\ - 3x - 3 = - 3x - 3 \\ - 3x + 3x = - 3 + 3 \\ 0 = 0\)

Step 1: Use 3 to open the bracket

Step 2 : Collect like terms and simplify

Answer = 0

Answer:

16 / 35"

Step-by-step explanation:

6/7 = 30/35

2/5 = 14/35

30 - 14 = 16

John William is entitled to purchase 15,000 shares before the offering is made to the public.

a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.

John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.

To convert this proportion to a percentage, we multiply by 100:

Percentage of the total vote = 0.3 * 100 = 30%

Thus, John William will control 30% of the total vote at the.         shareholder meeting.    

b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.

John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.

If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:

Entitlement = (3/10) * 50,000 = 15,000 shares.

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0.9947≅1  times you have to fill up the cylindrical beaker before the tank is full.

Volume is defined as the space occupied by any body in the three-Dimenions. All three parameters are required for the volume like length,width and hieght of cube or cubied.

here we have a beaker of cylindrical shape the volume of the shape will be calculated as:

\(\rm V=\dfrac{\pi}{4}\times d^2\times l=\dfrac{\pi}{4}\times (4)^2\times 8=100.53\ cubc\ inch\)

We have a volume of rectangular prism = 100 cubic inches

So number of times the beaker fill the fluid will be calculated as:

\(=\dfrac { Volume \ of\ Prism}{Volume\ of\ beaker}=\dfrac{100}{100.53}=0.9947\)

hence 0.9947≅1  times you have to fill up the cylindrical beaker before the tank is full.

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Answer:

Therefore smallest number which, when divided by 35,56 and 105, leaves a remainderof 5 in each case is 845.

Answer:

846

Step-by-step explanation:

study first

Answer:

525ft

Step-by-step explanation:

Largest rectangular area = 15×35=525ft

Smallest rectangular area = 10×5=50ft

Area of the Room = LRA + SRA = 525+50

= 575ft

Hello

We have two equations and need to find x and y

(1) 6x+7y=-46

(2) 3x-2y=32

multiply (2) by 2 it gives

(2') 6x-4y=64

(1) - (2') gives

6x+7y-6x+4y=-46-64 = -110

so 11y = -110

y = -10

replace in (2) it gives

3x+20=32

3x=12

x = 12/3 = 4

the solution is (4,-10)

do not hesitate if you need further explanation

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By using trigonometry, the missing sides are

Example 1: x = 16.7

Example 2: x = 3.2

Example 3: x = 23.5

Example 4: x = 9.3

From the question we are to determine the value of the missing sides in the given triangles

We can determine the value of the missing sides by using SOH CAH TOA

Example 1

Angle = 42°

Opposite side = x

Hypotenuse = 25

Thus,

sin (42°) = x / 25

x = 25 × sin (42°)

x = 16.7

Example 2

Angle = 75°

Opposite side = 12

Adjacent side = x

Thus,

tan (75°) = 12 / x

x = 12 / tan (75°)

x = 3.2

Example 3

Angle = 36°

Hypotenuse side = x

Adjacent side = 19

Thus,

cos (36°) = 19 / x

x = 19 / cos (36°)

x = 23.5

Example 4

Angle = 53°

Opposite side = x

Adjacent side = 7

Thus,

tan (53°) = x / 7

x = 7 × tan (53°)

x = 9.3

Hence,

The missing sides are 16.7, 3.2, 23.5 and 9.3

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The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

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Answer:

The question is not explained well, Please explain it better or take a screenshot or something

Step-by-step explanation:

Answer:

The lowest score on the final exam that would qualify a student for an​ A is 80.

The lowest score on the final exam that would qualify a student for a B is 74.68.

The lowest score on the final exam that would qualify a student for a C is 67.33.

The lowest score on the final exam that would qualify a student for a​ D is 62.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 71 and a standard deviation of 7.

This means that \(\mu = 71, \sigma = 7\)

Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's.

This means that:

90th percentile and above: A

70th percentile and below 90th: B

30th percentile to the 70th percentile: C

10th percentile to the 30th: D

Lowest score for an A:

Top 10% receive A, which means that the lowest score that would qualify a student for an A is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.28 = \frac{X - 71}{7}\)

\(X - 71 = 7*1.28\)

\(X = 80\)

The lowest score on the final exam that would qualify a student for an​ A is 80.

Lowest score for a B:

70th percentile, which is X when Z has a pvalue of 0.7, so X when Z = 0.525.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.525 = \frac{X - 71}{7}\)

\(X - 71 = 7*0.525\)

\(X = 74.68\)

The lowest score on the final exam that would qualify a student for a B is 74.68.

Lowest score for a C:

30th percentile, which is X when Z has a pvalue of 0.3, so X when Z = -0.525.

\(Z = \frac{X - \mu}{\sigma}\)

\(-0.525 = \frac{X - 71}{7}\)

\(X - 71 = 7*(-0.525)\)

\(X = 67.33\)

The lowest score on the final exam that would qualify a student for a C is 67.33.

Lowest score for a D:

10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.28 = \frac{X - 71}{7}\)

\(X - 71 = 7*(-1.28)\)

\(X = 62\)

The lowest score on the final exam that would qualify a student for a​ D is 62.

Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

Hence, the option (1) is correct i.e., \(5+n\leq -7\).

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given that,

The sum of \(5\) and a number is no more than \(−7\).

Let the number is \(n\)

So, the inequality is of the form

\(5+n\leq -7\)

Hence, the option (1) is correct i.e., \(5+n\leq -7\).

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Answer:  x^+10x+21

Step-by-step explanation:   x^2+7x+3x+21=

Answer:

m = -5 / -2 = 2.5

Answer:

An overdraft in your checking account

Step-by-step explanation:

I took the quiz :)

Answer:

(1;1)

Step-by-step explanation:

1. if y=2x-1, then it is possible to substitute 2x-1 into the 2d equation:

5x-4(2x-1)=1, ⇒ 5x-8x+4=1, ⇔ -3x=-3, ⇔ x= 1;

2. if x=1, then y=2x-1=2-1= 1.

3. the required pair is (1;1)

Given

The regular pentagon whose side is, 4ft.

And, the apothem of the pentagon is approximately 2.75ft.

To find the perimeter and the area of the pentagon.

Explanation:

It is given that,

The regular pentagon whose side is, 4ft.

And, the apothem of the pentagon is approximately 2.75ft.

Since a regular pentagon has equal sides.

Then, the perimeter of the pentagon is,

Also, the area of the pentagon is,

Hence, the area of the regular pentagon is 27.5ft^2.

The position vector of point P, MP, is given by MP = 6i - j.

To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.

The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Let's find the position vector of point P using the given information:

Point N: N = 4i - 5j

Point O: O = 8i + 3j

Using the midpoint formula, we can find the coordinates of point P:

x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i

y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j

Therefore, the position vector of point P, MP, is given by:

MP = 6i - j

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Answer:

1

Step-by-step explanation:

x-9=-8

x=-8+9

x=1

Answer:

48/20=2.4

12/2.4=5

Step-by-step explanation:

Kai can buy 5 bunches of grapes if she has $12.

Answer:

It's 29.

Step-by-step explanation:

48/20=2.4

12x2.4=28.8

Round up to 29.

Answer:

43

Step-by-step explanation:

imaginary numbers are typically

represented as the product of some

Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)