The distribution of professional baseball player salaries has a mean of $3.2 million. an analyst believes that the mean salary for teams on the east coast is different. the analyst randomly selects 50 baseball players from teams on the east coast and records their annual salaries. the mean salary for the players in the sample is $3.9 million with a standard deviation of $2.1 million. a significance test at an alpha level alpha = 0.05 of produces a p-value of 0.02. what is the correct interpretation of the p-value?

a. assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is true by chance alone.
b.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean of $3.9 million by chance alone.
c.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean at least as extreme as $3.9 million by chance alone.
d.assuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of $3.9 million or one more extreme will occur by chance alone.

Crackdown result: DFBG

[tex]\sf slope \ (m): \dfrac{y_2-y_1}{x_2-x_1}[/tex]

1)

[tex]\rightarrow \sf m = \dfrac{-13-19}{-1-3}[/tex]

simplify

[tex]\rightarrow \sf m=8[/tex]

2) take two points: (-1,-1), (0, 1)

[tex]\rightarrow \sf m = \dfrac{1-(-1)}{0-(-1)}[/tex]

simplify

[tex]\rightarrow \sf m = 2[/tex]

3) take two points: (1, -8), (2, -16)

[tex]\rightarrow \sf m = \dfrac{-16-(-8)}{2-1}[/tex]

simplify

[tex]\rightarrow \sf m = -8[/tex]

4)

[tex]\rightarrow \sf m = \dfrac{8-(-10)}{0-9}[/tex]

simplify

[tex]\rightarrow \sf m = -2[/tex]

#1

Slope

#2

Slope:-

#3

Slope

#4

Slope:-

Code is

Answer: = 18

Espero que esto te ayude.

The graph of f(x) = -x² + 2x + 1 and g(x) = 2ˣ, have the same y-intercept of (0, 1)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the polynomial function f(x) = -x² + 2x + 1 and an exponential function g(x) = 2ˣ

From the graph of f(x) = -x² + 2x + 1 and g(x) = 2ˣ, have the same y-intercept of (0, 1)

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Answer:2

Step-by-step explana2tion:

AS]

The graph of function y = 2x - 4 is shown in figure.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Equation of line is,

⇒ y = 2x - 4

Now, WE know that;

Standard form of equation of line is,

y = mx + c

Where, m is slope and c is y - intercept.

Here, Function is,

y = 2x - 4

Hence, y - intercept = - 4

Thus, The graph of function y = 2x - 4 is shown in figure with y - intercept (0, - 4).

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Answer:

10/6 = 10/6

 ↓

1 4/6 = 10/6

Step-by-step explanation:

5/6 + 5/6 = 10/6

                    ↓

                  1 4/6

10/6 ÷ 2 = 5/3

10/6 = 10/6

1 4/6 = 10/6

Answer: 26 and 30

Step-by-step explanation: The pattern is adding 4, so 10 + 4 is 14, 14 + 4 is 18, and 18 + 4 is 22.

So you add 4.

22 + 4 is 26.

26 + 4 is 30.

Answer:

26, 30 are the next two terms

Step-by-step explanation:

Using the transformation of an exponent to a power, the formula that is equivalent to f is given by:

[tex]440\sqrt[12]{2^{10}}[/tex]

It happens according to the following rule:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

In this problem, the rule for f is given by:

[tex]440(2)^{\frac{10}{12}}[/tex]

Hence, applying the rule, the equivalent formula is given by:

[tex]440\sqrt[12]{2^{10}}[/tex]

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Answer:

C

Step-by-step explanation:

Answer:

135 cars; 205 SUVs

Step-by-step explanation:

Let c = number of cars sold.

Let s = number of SUVs sold.

s = c + 70

c + s = 340

Substitute s in the second equation with c + 70 and solve for c.

c + s = 340

c + c + 70 = 340

2c = 270

c = 135

s = c + 70

s = 135 + 70

s = 205

Answer: 135 cars; 205 SUVs

Answer:

C) The corresponding sides are congruent.

Step-by-step explanation:

Option C is the correct answer.

Hope it helps you in your learning process.

Step-by-step explanation:

Mean :

13 + 25 + 7 + 28 + 42 + 7 + 15 + 23 + 1 + 17.

= 178

178 ÷ 10

= 17.8

Median =

13, 25, 7, 28, (42, 7,) 15, 23, 1, 17

= 42 + 17

= 59 ÷ 2

= 29.5

Range :

42 - 1

= 41

Hope it helps :))

Answer:

Mean- 17.8 Median- 16 Mode- 17.8

Step-by-step explanation:

1. Put the numbers in ascending order.

1, 7, 7, 13, 15, 17, 23, 25, 28, 42

2. Look for the median. The median is the number located in the middle of a set of numbers. In this case, the median is going to be between 15 and 17 because they are both in the middle. This means that the median will be 16.

1, 7, 7, 13, 15, 17, 23, 25, 28, 42

3. Find the mode. The mode is the number you see the most in a set of numbers. In this case, there are two 7's so 7 is the mode of this set.

1, 7, 7, 13, 15, 17, 23, 25, 28, 42

4. Find the mean. The mean is the overall average of a set of numbers. To find the average, find the sum of all the numbers in the set and divide it by the number of integers there are. In this case, there are ten integers, so we'll find the sum (178) and divide it by 10 to get a mean of 17.8.

[tex]\frac{1+7+7+13+15+17+23+25+28+42}{10}[/tex] = 17.8

5. Find the range. The range is basically the difference between the lowest and highest values in a set of numbers. The lowest number is 1 and the highest is 42. So, we'll subtract the two to get a range of 41.

1, 7, 7, 13, 15, 17, 23, 25, 28, 42

42 - 1 = 41

Quadratic equations are equations that has a leading degree of 2. The value of x from the given quadratic equation is 2 or -12

Quadratic equations are equations that has a leading degree of 2

GIven the quadratic equation expressed as x^2 + 10x + 12 = 36

Rewrite

x^2 + 10x - 36 + 12 = 0

x^2 + 10x - 24 = 0

Factorize

x^2 + 12x -2x - 24 = 0
x(x+12) -2(x+12) = 0
x - 2 = 0 and x = -12

x =2 or -12

Hence the value of x from the given quadratic equation is 2 or -12

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Answer:

A on edge 23'

Step-by-step explanation:

because i said so

Answer: 157.5

Step-by-step explanation:

I would add 45 % again and you'd get 90 % or

150.00 the find 10 % of 75 which is 10*75/100 or 7.5

then add 150.00+ 7.5 = 157.5

Answer:

Step-by-step explanation:

A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.

Finding z

z^2 + z^2 = (24√2)                    Combine the left

2z^2 = 24^2 * 2                         Divide both sides by 2

2z^2/2 = 24^2/2

z^2 = 24^2                                 Take the square root of both sides

√z^2 = √24^2

z = 24

Finding x and y

The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.

Tan 60 = opposite over adjacent

sqrt(3) = Perpendicular / z                      Multiply both sides by z

z*sqrt(3) = perpendicular

The above calculation tells us the perpendicular is 24

z*sqrt(3) = 24                                           Divide by sqrt 3

z = 24/√3

z = 24/1.73

z = 8√3

Finding x

Use Pythagoras to determine x

Perpendicular^2 + (8√3)^2 = x^2

24^2 + 8^2*3 = x^2

576 + 192 = x^2

768 = x^2

√x^2 = √768

x = 27.71

Answer:

There are a few solutions because there are some fractions and decimals between 8 and 10.

Step-by-step explanation:

Have a great day! Hope this helps!!

Answer:

B

Step-by-step explanation:

Everyone eats whereas not everyone would enjoy being at the other options

Step-by-step explanation:

this is a nice parallelogram.

that means it has 2 pairs of equal and parallel sides (opposite of each other), 2 pairs of equal angles (also opposite of each other).

as in every quadrilateral the sum of all angles is 360°.

and because of the 2 pairs of equal (yet opposite) angles, every angle combines with one of its neighbors to 180°.

so,

(3x + 5) + (8x - 12) = 180

3x + 5 + 8x - 12 = 180

11x - 7 = 180

11x = 187

x = 17

and then the angle P is

3x + 5 = 3×17 + 5 = 51 + 5 = 56°

Step-by-step explanation:

the awnser enlarges, preserves, scale reduces

Step-by-step explanation: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

a

Step-by-step explanation:

The rule is a translation rule, and another way of writing the rule t -8, 4(x, y) is (x - 8, y + 4)

The rule is given as:

t -8, 4(x, y)

The above rule means that:

A translation of 8 units right and 4 units up.

This is represented as:

(x - 8, y + 4)

Hence, another way of writing the rule t -8, 4(x, y) is (x - 8, y + 4)

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Answer:

C: (x, y) → (x – 8, y + 4)

Step-by-step explanation:

Answer:

30 miles because:

Step-by-step explanation:

10 x 6 = 60/1min

5 x 6 = 30miles

Answer:

The total account balance would be $454.50

Step-by-step explanation:

Answer: Its D

Step-by-step explanation:

Answer:

I wouldn't say this is entirely correct, but I think it's 45%.

Step-by-step explanation:

If you started with $90 and it was reduced 20%, than 25% MORE, the final percentage that was lowered would be the 20% and 25% added together.

The answer is 45%.

(Please do tell me if I got this wrong!!)

The original price reduced to 60%.

A percentage is a ratio or number that can be expressed as a fraction of 100. Additionally, it is denoted by the symbol "%."

On September 1, a dress was priced at $90. On October 1, the price was reduced by 20%.

That means,

the price is now = $90 - (90 x 20 /100) = $72

On November 1, the price was further reduced by 25% of the October 1 price.

The price is now = $72 - ( 72 x 25 / 100) = $54

To find the percentage of original price;

The percentage of original price

= 5400 / 90

= 60%

Therefore, the final price is 60% of the original price.

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The correct classification for the angle JML is an acute angle.

What is an acute angle?

An acute angle has a measure, or it's smaller, than a right angle.

Therefore, the acute angle is the small angle which is less than 90°

let's find the measure of ∠JML

Hence,

∠JML = ∠JMK + ∠KML

∠KML = 180 - 132 = 48 degrees.

Therefore,

∠JML = 41 + 48 = 89 degrees.

Therefore, the correct classification for the angle JML is an acute angle.

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Answer:

384

Step-by-step explanation:

W x L x 2 + H x L x 2 + W x H x 2  = Formula for Surface area of a rectangular prism

9x12x2=216,  4x12x2=96, 9x4x2=72  Then add them all up

216+96+72=384

Brainly would help, thank you and have a good day.

FYI  I did not copy this took ten minutes to do pls no report...  thanks

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Surface area of a rectangular prism is ~

[tex]\qquad \sf  \dashrightarrow \: 2(lb + bh + lh)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2 \{(12 \times 9)+ (9 \times 4) +( 12 \times 4) \}[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2 \{(108)+ (36) +( 48) \}[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2 \{192\}[/tex]

[tex]\qquad \sf  \dashrightarrow \:384 \: \: ft {}^{2} [/tex]

Answer:

See below.

Step-by-step explanation:

The side of the square is k.

The area of the square is k².

The diameter of the circle is k.

For a circle, radius = diameter/2.

The radius of the circle is k/2.

Formula for area of circle: A = πr².

Here, the radius, r, is k/2.

The area of the circle is π(k/2)² = (πk²)/4

The shaded area is the difference between the area of the square and the area of the circle.

shaded area = k² - (πk²)/4

We are told that the shaded area = A

A = k² - (πk²)/4

Multiply both sides of the equation above by 4.

4A = 4k² - πk²