State your conclusion to the following hypothesis test.

A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted.

The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07.

Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.

Question 11 options:

a.there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

b.there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

c.there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.

c.there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.

Construct the equation of the regression line.

An editing firm compiled the following table which lists the number of pages contained in a piece of technical writing and the cost of proofreading and correcting them (in dollars). Assume there is a significant linear relationship between X and Y and construct the equation of the linear regression line.


Number of Pages, x
7
12
4
14
25
30

Cost, y
128
213
75
250
446
540
Question 28 options:

yˆ=17.9(x)+1.6

yˆ=15.4(x)+7.1

yˆ=1.6(x)+17.9

yˆ=7.1(x)+15.4

Use the model to make the appropriate prediction.

A sociologist wanted to determine whether there was a relation between a state's poverty rate (x) and its teen pregnancy rate (y). Data from all 50 states produced the regression model:

yˆ=4.3+1.4(x)

What does the model suggest for the poverty rate of Florida, which has a poverty rate of 16.6?

Answer:

201.00

Step-by-step explanation:

Answer:

$ 30,000

Step-by-step explanation:

c = 300 ³√n²

= 300× ³√1000²

= 300× 100

= 30,000

Answer: $30000

Step-by-step explanation:

[tex]300\sqrt[3]{n^2}[/tex]

[tex]300\sqrt[3]{1000^2}[/tex]

[tex]300\sqrt[3]{1000000}[/tex]

300 × 100 = 30000

Answer:

Step-by-step explanation:

The difference quotient in general looks like

[tex]\frac{f(x+h)-f(x)}{h}[/tex]   Sometimes the symbol "delta x"  [tex]\Delta x[/tex]   is used instead of h.

For the exponential function, the difference quotient is

[tex]\frac{e^{x+h}-e^x}{h}[/tex]

Answer:

For those who dont want to read, its A.

Step-by-step explanation:

Edge 2021

1) we need to find the common denominator so we can multiply the denominators with each other.

[tex]\frac{6*4}{10*4}[/tex][tex]+\frac{3*10}{4*10}[/tex][tex]=\frac{24}{40} +\frac{30}{40}[/tex][tex]=\frac{54}{40}=1\frac{14}{40}[/tex]

2) make first fraction into improper fraction

[tex]\frac{20}{12} -\frac{2}{3} =\frac{20}{12} -\frac{2*4}{3*4} =\frac{20}{12} -\frac{8}{12}=\frac{12}{12} =1[/tex]

3) turn into improper fraction[tex]\frac{3}{4}+\frac{12}{5} +\frac{3}{4} =\frac{3*5}{4*5}+\frac{12*4}{5*4} +\frac{3*5}{4*5}=\frac{15}{20}+\frac{48}{20}+\frac{15}{20}=\frac{78}{20}[/tex]

4) turn into improper fraction

[tex]\frac{38}{8} +\frac{14}{5} =\frac{38*5}{8*5} +\frac{14*8}{5*8}=\frac{190}{40} + \frac{112}{40}=\frac{302}{40}[/tex]

then we minus 2 3/4

[tex]\frac{302}{40} - \frac{11}{4} = \frac{302}{40} - \frac{11*10}{4*10}=\frac{302}{40} - \frac{110}{40}=\frac{192}{40}[/tex]

5) 7/3= 2.33333333333 or [tex]2 \frac{1}{3}[/tex]

X is 55 after rearranging the equation given

Answer:

37.8 yd^3

Step-by-step explanation:

base area = (4.5 x 2.8)/2 = 6.3 yd^2

Volume = 6.3 x 6 = 37.8 yd^3

Answer:

15,219.90

Step-by-step explanation:

.88 rounded to the nearest tenth would be 90. 8 is closer to 10 than 0 therfore you round up to .90

Answer:

See attachment for histogram

The histogram is left skewed

Step-by-step explanation:

Given

[tex]40, 47, 37, 42, 46, 31, 50, 41, 17[/tex]

[tex]43, 46, 45, 21, 43, 45, 23, 49, 50[/tex]

[tex]48, 26, 42, 46, 35, 52, 27, 51, 31[/tex]

[tex]44, 35, 27, 46, 39, 33, 50, 45, 50[/tex]

Solving (a): Construct a histogram

First, we construct a frequency table

Calculate Range

[tex]Range = Highest - Least[/tex]

[tex]Range = 52 - 17[/tex]

[tex]Range = 35[/tex]

Using a class width of 5, we have the following classes:

[tex]17 - 22; 23 - 28; 29 - 34; 35 - 40; 41 - 46; 47 - 52[/tex]

So, the frequency table is:

[tex]\begin{array}{ccccccc}{Class} & {17-22} & {23-28} & {29-34} & {35-40} & {41-46} & {47-52} \ \\ {Count} & {2} & {4} & {3} & {5} & {13} & {9} \ \end{array}[/tex]

See attachment for histogram

From the attached histogram, we can see that the height of the bars of the histogram tend to increase towards the left.

Hence, the shape of the histogram is left skewed

Answer:

ur answer is A

Step-by-step explanation:

I just did the problem

The equation 2x² + 3x - 2 = 0 has the solutions or roots 1 and -2. The quadratic equation is 2x² + 3x - 2 = 0

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.

given

Below is the quadratic equation.

2x² + 3x - 2 = 0

When you factor the equation, you get

2x² + 3x - 2 = 0

2x² + 4x - x - 2 = 0

2x(x + 2) - 1(x + 2) = 0

(x - 1)(x + 2)

x = 1, -2

The equation 2x2 + 3x - 2 = 0 has the solutions or roots 1 and -2

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Answer:

Click the link?

Step-by-step explanation:

Answer:

so well go to the guide and check the q. Then either create an doc or slide when done click file then download then pdf. k. then click add file then add the pdf file.

Step-by-step explanation:

Using the mean value theorem, the least possible value of f(3) is - 2

The mean value theorem states that for a function f(x) on the interval (a, b), there exists a value c such that

f'(c) = f(b) - f(a)/(b - a)

Since ƒ(−1) = 10 and ƒ'(x) ≥−3 for all values of x, we require the least possible value of f(3).

Using the mean value theorem where

We choose f'(c) = 3 since f'(x) = 3 is the minimum value of f'(x).

So, substituting the values of the variables into the equation, we have that

f'(c) = f(b) - f(a)/(b - a)

f'(x) = f(3) - f(-1)/(3 - (-1))

f'(x) = f(3) - f(-1)/(3 + 1)

f'(x) = f(3) - f(-1)/4

So, making f(3) subject of the formula, we have that

f(3) = f(-1) + 4f'(x)

Since

Substituting the values of the variables into the equation, we have that

f(3) = f(-1) + 4f'(x)

f(3) = 10 + 4(-3)

f(3) = 10 - 12

f(3) = - 2

So, the least possible value is - 2

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On solving the provided question, we can say that vertices of pentagon are (-1, -1), (-3, 4), (1, 7), (6, 5) and (3, -1); Area = 30 sq unit

A pentagon is a polygon with five sides that is used in geometry. The inner angles of a straightforward pentagon add up to 540°. Simple or self-intersecting pentagons are both possible. A pentagram is a self-intersecting regular pentagon. Five angles and all sides of a regular pentagon are equal. It is referred to as an irregular pentagon if the side lengths and angle measurements do not match. All outside angles, as far as we are aware, balance out inside angles. The polygon's exterior angle total is therefore equal to n(360°/n). There are five sides to a pentagon, therefore n must equal five. Consequently, 5(360°/5) = 360° is the sum of the pentagon's outer angles.

vertices of a convex pentagon are (-1, -1), (-3, 4), (1, 7), (6, 5) and (3, -1).

Area = 1/2 [ 24+3+15+0-3] - [3-30-3+9-0]

Area = 1/2| 60 |

Area of pentagon  = 30 sq unit

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7 + 3x is not a factor of expression 3x^3 + 7x

Consider given expression  3x^3 + 7x

Let f(x) = 3x^3 + 7x

Assume that  7 + 3x is a factor of 3x^3 + 7x

This means,  7 + 3x = 0 would be the root.

x = -7/3

If x = -7/3 is root of polynomial f(x) = 3x^3 + 7x then f(-7/3) must be equal to 0

We find the value of given polynomial for x = -7/3

f(x) = 3x^3 + 7x

f(-7/3) = 3(-7 / 3)^3 + 7 (-7 / 3)

f(-7/3) = (3 × (-343)) / 27 + (-49 / 3)

f(-7/3) =  [(-343) - 147] / 9

f(-7/3) = -490 / 9

f(-7/3) ≠ 0

Since f(-7/3) ≠ 0, x = -7/3 is not root of polynomial  f(x) = 3x^3 + 7x

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Answer:

Step-by-step explanation:

We know the perimeter of a triangle is the sum of all the sides( two legs and one hypotenuse).

By pythagoras we know that

[tex]h^2= a^2+b^2.[/tex]

and the perimeter is [tex]P=h+a+b[/tex].

Since P=24 and a=6  we have these equations:

[tex]h^2=36+b^2\\24=h+6+b[/tex]

From the last equation we have [tex]h=18-b[/tex]. Replace h in the first equation we get that

[tex](18-b)^2=36+b^2[/tex]

[tex]18^2-36b+b^2=36+b^2\\288=36b\\b=\frac{288}{36}=8[/tex]

and h=18-8=10

Answer:

C = 12.6 (rounded to the nearest tenth)

Step-by-step explanation:

The formula for the circumference of a circle is C = 2πr

R = radius

The radius is the half of a diameter, so 4/2 is 2.

C = 2π(2)

C = 12.56637061

Answer:

2 2/5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\frac{12}{a} = \frac{9}{b} => 12b = 9a[/tex]

[tex]12 * 1.5 = 9 * 2[/tex]

[tex]18 = 18[/tex]

This option works

The number of groups of like terms is 3

An algebraic expression is defined as an expression made up of terms, variables, coefficients, constants, and factors.

These algebraic expressions are also composed of mathematical operations, such as;

A term can be described a single variable, number or numbers and variables that are multiplied together.

From the information given, we have the terms;

3x¹³, 9x¹⁰, -1x¹³, -16x¹³, 3x¹⁰, 3¹³, 10x¹⁰, 13x¹⁰

The similar terms are;

3x¹³,  3x¹⁰,  3¹³

Hence, the number is 3

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Answer:

13+5+7+5+5

Its because if you calculate it mean and media. will be 7 and obviously mode is 5

Hope you're helped!

Answer:

it would be clustered because the scores are all close together :)

It would be clustered because the scores are all close together.

We have given that,

The list shows the score of each game completed at a bowling alley during a one-hour period.

90, 96, 120, 124, 130, 135, 138, 140, 145, 148, 290, 290.

Grouping similar objects into common groups, also known as clustering, is an important problem of unsupervised machine learning.

We have to determine the data graphed on a horizontal number line appear to be clustered or skewed.

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Answer:

Step-by-step explanation:

A unit rate means a rate for one of something. You should write it as a ratio with a denominator of one.

For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate

IT's  0.80 per serving i think

Answer:

3/4

Step-by-step explanation:

brainliest please

Answer:

(x so long as x is less than or equal to .7 and x is grater than 0.) I think, The number line is hard to interpret. if it's asking where the line stops then it is 7/10. but the answer in parentheses makes the most sense to me.

Step-by-step explanation:

                                                         Good Luck

                                                      Have a nice day

Answer:

Set1 = 1/12

Set2 = 1/12

Set3 = -12

Step-by-step explanation:

Substitute, use Keep-Change-Flip to handle division when there's fractions involved. See image.

Also to multiply fractions, multiply

top×top and bottom×bottom straight across. Also negative times a negative is a positive and negative is like opposite so -(-6) is 6 and -(-1/2) is 1/2.

see image.

So Gale made a profit of 55.6% by selling the purse to Brenda. Therefore the correct answer would be B. 55.6%

Profit and Loss is a financial statement that shows a company's revenue, costs, and expenses over a certain period of time, such as a month or a year. The purpose of a P&L statement is to show the company's financial performance and to determine whether the company is making a profit or incurring a loss.

The proportion that the retailer makes after selling a good at a price greater than its cost is the product's profit margin. P% indicates it.

Profit Percentage P% = {(selling price – cost price) / cost price} x 100.

The selling price of the purse is $35 and the original cost of the purse is $22.50. So the profit is $35 - $22.50 = $12.50

Profit as a percent = (Profit / Original cost) * 100

Profit as a percent = ($12.50 / $22.50) * 100 = 55.6%

So Gale made a profit of 55.6% by selling the purse to Brenda. Therefore the correct answer would be B. 55.6%

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