State study on labor reported that one-third of full-time teachers in the state also worked part-time at another job. For those teachers, the average number of hours worked per week at the part-time job was 13. After an increase in state teacher salaries, a random sample of 400 teachers who worked part-time at another job was selected. The average number of hours worked per week at the part-time job for the teachers in the sample was 12.5 with a standard deviation of 6.5 hours. Is there convincing statistical evidence, at the level of α=0.05, that the average number of hours worked per week at part-time jobs decreased after the salary increase?
(A) No. The p-value of the appropriate test is greater than 0.05.
(B) No. The p-value of the appropriate test is less than 0.05.
(C) Yes. The p-value of the appropriate test is greater than 0.05.
(D) Yes. The p-value of the appropriate test is less than 0.05.
(E) Not enough information is given to determine whether there is convincing statistical evidence
answer a show work, please

Answer:

12/25=48%

Step-by-step explanation:

total=denominator=12+13=25

numerator=no of cherries=12

12/25=x/100

1200=25x

x=48%

A percentage is a number or ratio that represents a fraction of 100. 

Percentage formula = (Required number / Total number) x 100

The percentage of cherries is 48%.

A percentage is a number or ratio that represents a fraction of 100. 

Example:

50% = 50 /100 = 1/2

25% = 25/100 = 1/4

We have,

Number of cherries = 12

Number of strawberries = 13

The total number of fruits:

= 12 + 13

= 25

Percentage formula = (Required number / Total number) x 100

The percentage of cherries:

= (Number of Cherries / Total number of fruits) x 100

= (12 / 25) x 100

[ 25 x 4 = 100 ]

= 12 x 4

= 48%

Thus,

The percentage of cherries is 48%.

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Answer:

108cm3

Step-by-step explanation:

9 x 4 x 3 = above

Answer:

36

Step-by-step explanation:

Answer:yˆ=−0.175x2−3.786x+121.119

look at picture

Step-by-step explanation:

The quadratic regression equation for the data set is:

y^ = -0.175x²-3.786x+121.119

Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.

According to the given problem,

Let us choose any value of x,

x = 10

For this value of x we can see that the respective value of y= 50

Substituting the value of x in the equations to see which equation satisfies the value of y as 50.

Substituting the value of x in the equation:

y^ = -0.175x²-3.786x+121.119

y^ = 50

Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.

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Answer:

b

Step-by-step explanation:

Area of a rectangle = length x width

length = 8 + 2 = 10

width = 10 + 2 = 12

10 x 12 = 120

Answer:

Step-by-step explanation:

Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula

C

=

D

×

π

where

D

is the length of the diameter of the circle and

π

≈

3.14

.

Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula

C

=

2

×

r

×

π

where

r

is the length of the radius of the circle and

π

≈

3.14

.

Area of Circle Formula: The area of a circle is determined by the following formula

A

=

r

×

r

×

π

=

r

2

×

π

Answer:

12.5663

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

We know that 8x3=24, so we have to find what would equal 3 in the parenthesis.

12-9=3

The correct equation would be 8 (12-9) =24, or to be very simple, 8x3=24.

So y=12.

Answer:

Adjacent

Step-by-step explanation:

They are next to each other ^^

The Answer Is B

Use proportions to find x% of the children playing on the swings.

[tex] \frac{21}{100} = \frac{5}{x\%} [/tex]

[tex]x = 23.80952380\%[/tex]

Meaning B is correct.

Answer:

Rational

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Rational.

Step-by-step explanation:

Rational numbers are the numbers that can be expressed in the form of a ratio.

Answer:

Step-by-step explanation:

becasue  you can square a negative number

Answer:

Hello! answer:

A: 5

B: 15

C: 61

D: 24

E: 37

F: 10

I believe all of these are correct. when solving remember you do a^2+b^2=c^2

Answer:

The first one is 140 and the second one is -2.6

Step-by-step explanation:

Your welcome !

just use a calculator lol

Answer:

19 is D

20 is A

Step-by-step explanation:

19. 60+80=140

20. 2.3-4.9=-2.6

Answer:

11

Step-by-step explanation:

find the volume

find 80% of whats left

divide by 1.75 (gas price)

sorry if its wrong but im human

will give you the steps but try to do the problem by yourself.  

Start by finding the volume of the tank

Multiply 1.75 ft and 1.25 ft then covert the sum to inches by multiplying it by 12.

Then multiply that amount by the ll inches and you have the volume.

Since the tank is 20% full divide the volume by five, take the number you get from that and subtract it from the origanl volume.

Now you have the amount you need to fill.

Since it is 3.

Divide the amount you need to fill by 77 and you get the cost to fill the tank.

Answer:

B

Step-by-step explanation:

that seems like the best option to me

Answer:

133.33g

Step-by-step explanation:

Let the:

Mass of 1.2g/cm³ of liquid = x

Mass of 1.8g/cm³ of liquid = y

From our Question above, our system of equations is given as:

x + y = 400........ Equation 1

x = 400 - y

1.2 × x + 1.8 × y = 1.6 × 400

1.2x + 1.8y = 640..... Equation 2

We substitute, 400 - y for x in Equation 2

1.2(400 - y) + 1.8y = 640

480 - 1.2y + 1.8y = 640

- 1.2y + 1.8y = 640 - 480

0.6y = 160

y = 160/0.6y

y = 266.67 g

Solving for x

x = 400 - y

x = 400 - 266.67g

x = 133.33g

Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g

Answer:

-14

Step-by-step explanation:

-2 x 10 = -20

-20 + 6 = 14

Therefore -2m + 6 = 14

Answer:

Equation D, y = 1.75x + 6.25

Step-by-step explanation:

We know that the common ratio is 1.75 which means that the data would go up by $1.75 each time and then an additional of 6.25 is also there. Hence, 1.75 would be the slope and 6.25 would be the intercept of the equation.

Hope this helps!

I am answering this so the other answer can get brainliest since they were the ones who gave you the answer :)

Mean- 26.222222222222

Median- 26

Mode- 24

Range- 7

Hope this helped :D

Answer:

Step-by-step explanation:

t = 2h-8  

since you didn't put in the equations,  just put in what ever variable is where t is at and any variable other than t for the h   :)

Answer:

Please put equations, so I can able to give you ans

Answer:

y - 2 = 3(x + 5)

Step-by-step explanation:

The given equation has slope -1/3.  Any line perpendicular to the given line has a slope which is the negative reciprocal of -1/3, which comes out to +3.

Use the point-slope formula y - k = m(x - h):

y - 2 = 3(x + 5)

Answer:

box 1 = 4

box 2 = 40%

table box 1 = 75%

table box 2 = 25%

Step-by-step explanation:

hope this helps :D

Answer: 10

Step-by-step explanation:

10+10 = 20

10 x 10 = 100

mi would do another but i supposed to be in class :P

The two Integers are  [tex]10,10.[/tex]

An Integer number that can be written without a fractional component.

We have,

Sum of two Integers [tex]=20[/tex]

Product of two Integers [tex]=100[/tex]

Now,

Let,

One integer [tex]=x[/tex]

Another integer [tex]=y[/tex]

So,

According to the question,

[tex]x+y= 20[/tex]     [tex].....(i)[/tex]

[tex]x*y=100[/tex]

⇒ [tex]x=\frac{100}{y}[/tex]     [tex].....(ii)[/tex]

Now,

Putting value of x in equation (i),

We get,

[tex]\frac{100}{y}+y= 20[/tex]

[tex]100+y^2=20y[/tex]

[tex]y^2-20y+100=0[/tex]

Using middle term split method,

[tex]y^2-10y-10y+100=0[/tex]

[tex]y(y-10)-10(y-10)=0[/tex]

[tex](y-10) (y-10)=0[/tex]

We get,

[tex](y-10)=0[/tex] and [tex](y-10)=0[/tex]

So, [tex]y=10[/tex]

Now, putting value of y in in equation (i),

[tex]x+10=20[/tex]

[tex]x=10[/tex]

So, two integers are [tex]10,10.[/tex]

Hence, we can say that the two Integers are  [tex]10,10.[/tex]

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Answer:

A

Step-by-step explanation:

Sum the product of the components in the first row of A with the corresponding components of the first column in B

Repeat this with the components in the second row of A with the corresponding components of the second column in B, that is

AB

= [tex]\left[\begin{array}{ccc}2&1\\3&4\\\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}3&1\\5&2\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}2(3)+1(5)&2(1)+1(2)\\3(3)+4(5)&3(1)+4(2)\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}6+5&2+2\\9+20&3+8\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}11&4\\29&11\\\end{array}\right][/tex]  → A

Answer:

the answer is 6

Step-by-step explanation:

slope = m

y = mx + c

m = 6