A researcher reports that the average salary of assistant professors is more than $42,000. A sample of 30 assistant professors has a mean salary of $43,260. At α = 0.01 test the claim that assistant professors earn more than $42,000 a year. A standard deviation of the population is $5230. Traditional Method.
(a) Identify the null and alternative hypotheses for this test.
(b) Identify the test statistic for this hypothesis test
(c) Accept or Reject the claim

Answer:

x = 26

2x = 52

(5x - 2) = 128°

Step-by-step explanation:

✔️According to the exterior angle theorem of a ∆, thus:

(5x - 2)° = 2x° + 76°

Solve for x

5x - 2 = 2x + 76

Collect like terms

5x - 2x = 2 + 76

3x = 78

Divide both sides by 3

x = 26

✔️2x

Plug in the value of x

2(26) = 52°

✔️5x - 2

Plug in the value of x

5x - 2 = 5(26) - 2

= 128°

Answer:

Step-by-step explanation:

cant remember what this method is called but

change the second equation to be y = something

x + y = 10

y = -x + 10

plug in this y= in the first equation to get x

4x -2(-x + 10) = 4

4x + 2x -20 = 4

6x = 24

x = 4

then plug in the x we found into the original second equation

4 + y = 10

y = 6

so your ordered pair would be (4,6)

hope this helps <3

Answer:

Step-by-step explanation:

[tex] \frac{2x}{5} + \frac{5}{8} = \frac{1}{4} [/tex]

[tex] \frac{2x}{5} = \frac{1}{4} - \frac{5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{2}{8} - \frac{5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{2 - 5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{ - 3}{8} [/tex]

[tex]2x = \frac{ - 3}{8} \times 5[/tex]

[tex]2x = \frac{ - 15}{8} [/tex]

[tex]x = \frac{ - 15}{8} \div 2[/tex]

[tex] x = \frac{ - 15}{8} \times \frac{1}{2} [/tex]

[tex]x = - \frac{ 15}{16} [/tex]

Answer:

Slope = -2

Step-by-step explanation:

Since, slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Rise = -(y-intercept)

Run = (x-intercept)

From the graph attached,

y - intercept = -(4) = -4

x - intercept = 2

Therefore, slope the line given in the graph attached will be,

Slope = [tex]\frac{-4}{2}[/tex] = -2

Slope = -2

Answer:

67 sq ft

Step-by-step explanation:

The length of the rectangle with an area of 405/8 square inches and a width of 45/4 inches is  9/2 inches.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

We know the area of a rectangle = length×width.

Given, The tray has a width of 45/4 inches and an area of 405/8 square inches.

∴ If area = length×width.

Then, length = area/width.

length = (405/8)/(45/4) inches.

length = (405/8)×(4/45) inches.

length = 9/2 inches.

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Answer:

your picture isnt loading can you tell me the problem?

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

3 divide by 40= 0.0075

0.0075 times 1000= 75

Answer: Choice B) The plane is at least 20 times faster than the bird

========================================================

Explanation:

We'll divide the speed of the plane over the speed of the bird.

First divide each coefficient of the scientific value expressions:

7/3 = 2.33 approximately

Then divide the 10^n exponent expressions and we get

10^3 divide by 10^2 = 10^(3-2) = 10^1

So overall, the result of dividing the two speeds leads to approximately

2.33*10^1 = 2.33*10 = 23.3

This shows the plane is approximately 23.3 times faster compared to the bird. Saying "The plane is at least 20 times faster than the bird" is fairly close to the prior sentence, so the statement is valid. That's why choice B is the answer.

Choices A and C are saying similarly valid statements, just written in different formats. I think choice B is the best answer since it seems to be the most direct comparison that is fairly easy to grasp.

Answer: A

Step-by-step explanation:

If you write down the points you’ll get:

(2,6) & (3,9) & (5,15)

Next apply the expression which in this case:

A) y =3x

Now insert the numbers

1) (2,6) => 6=3(2)

2) (3,9) => 9=3(3)

3) (5,15) => 15=3(5)

So, A is correct.

Edit: Forgot to mention about the numbers placement.

(x,y) so numbers on the left is x while those on the right is y

Step-by-step explanation:

All you need to do to answer this is multiply 9/10 and 4/9

9/10 * 4/9 = 2/5

Checking the answer:

plug in play

2/5 / 4/9 = 9/10

In short, your answer is 2/5

Hope this helps <3

Answer:

16000

Step-by-step explanation:

it works bebeaoc usfztbee jdxeevehe ue

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Answer:

1260 I think

Step-by-step explanation:

because if the airplane is travelling at 420 mph for THREE hours then 420x3=1260

Answer:

The violent crime rate for this Southern state with an urbanization of 55.4 and a poverty rate of 13.7 is predicted to be:

7.6%.

Step-by-step explanation:

a) Data and Calculations:

Urbanization rate = 55.4%

Poverty rate = 13.7%

The predicted violent crime rate = urbanization rate * poverty rate

= 55.4% * 13.7%

= 7.5898%

= 7.6%

b) The prediction of violent crime rate follows some established researches that show that crime rates are higher in urban than rural areas.  There is also a dynamic link between poverty, unemployment, and crime rate.  Unemployment is usually high in more urbanized areas.  As a result, unemployment increases poverty, and poverty reinforces the commission of crimes.

Answer:

It's C

Step-by-step explanation:

Multiply the length by the width and you are going to do that by multiplying 4x by 2x and 4 and also multiply -6 by 2x and 4. and then you simplify and you should get the equation C

Answer:

C.

Step-by-step explanation:

ik this because i have done this

Answer:

[tex] \huge \frac{7}{8} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 9 - - 2}{ - 10 - - 2} = \frac{ - 9 + 2}{ - 10 + 2} = \frac{ - 7}{ - 8} = \frac{7}{8} \\ [/tex]

We have the final answer as

[tex] \frac{7}{8} \\ [/tex]

Hope this helps you

Answer:

7/8

Step-by-step explanation:

Answer:

b 8 hours

Step-by-step explanation:

1/4 is 2 so 2/4 is 4 and we know 3/4 is 6 so 4/4 is 8 which is the answer

Answer:

H0: the new commercial increases brand recognition

Step-by-step explanation:

The null hypothesis is a statement about the given population of interest which is believed to be true and a contradiction of the alternative hypothesis.

In this question, we are testi whether a new commercial increases brand recognition. So the null hypothesis,

H0 would be,

The new commercial increases brand recognition

x would be 102° . hope it helps

Answer:

x=-7/2

Step-by-step explanation:

Answer:

x = -7/2 or -3.5

Step-by-step explanation:

7x - 2 = 9x + 5

Add 2 to both sides

7x = 9x + 7

Subtract 9x from both sides

-2x = 7

Divide both sides by -2

x = -7/2

x = -3.5

Answer:

275

Step-by-step explanation:

The best way to do this is to set it up in this equation:

4/100 = 11/x, in this, the 4 over 100 represents 4% out of 100%. The 11 over x represents the 11 students out of x amount of students. With this equation, you cross multiply to get 4x = 1100. Then you divide both sides by 4 to get x by itself. This will give you x=275

After solving the equation, the total number of students in the 7th grade is 275.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the data mentioned in the question,

Total number of students in the Environmental club = 11

Percentage of students from 7th grade = 4%

Let the total number of students in 7th grade be x

Then, the equation according to the statement will be,

4% of x = 11

So,
x = (11 × 100)/4

x = 275

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Answer:

The mayor will lose in a close race

Step-by-step explanation:

Answer:

(-3)(-1) = (+3)

Step-by-step explanation:

In this question, we have to find the equation that proves the statement wrong.

The statement says that “If the product of two numbers is positive, then the two numbers must both be positive"

We can already make this statement false because both numbers doesn't only have to be positive in order to have the product of a positive number.

We know that if you multiply two negatives, the number turns positive.

Therefore, we can see that displayed in this equation: (-3)(-1) = (+3)

This is because (-3)(-1) = 3, and they both aren't positive numbers.

Answer:

(-3)(-1) = (+3)

Step-by-step explanation:

The counterexample would be that the product of two negative numbers is positive but the numbers are negative. For example, (-3)(-1) = (+3).

Answer:

2x+14

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

This is because since each piece is one inch and the ribben is 100 inches then you can cut it 100 times.