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

let : y = Opponent side, x= Adjecent side

and r= hypotenuse

tan = 4/5

y/x = 4/5 => y =4, x=5

so, r = √4²+5²=√16+25=√41

sin = y/r = 4/ √41

cos = x/r = 5/√41

tan = y/x = 4/5

csc = r/y = √41 /4

sec = r/x = √41 /5

cot = x/y = 5/4

Answer:

depends on the cases. they all have different uses

Answer:

-4

-4 and so on

Answer:

Simple! Just plug in each x value into the equation above. Or, you could just plug the equation into a graphing calculator and find the point from there.

Step-by-step explanation:

f(3) = 16

f(4) = 21

f(5) = 26

f(8) = 41

Please do mark as brainliest. Hope this helps! :)

Answer:

9.225 < x [tex]\leq[/tex] 9.235

Step-by-step explanation:

Answer:

drip

Step-by-step explanation:

Step-by-step explanation:

a geometric sequence means every new element is created by multiplying the previous element always with the same number.

a n = a n-1 * number

a n = a1 * number^(n-1)

=> a8 (or g(8)) / a3 (or g(3)) = number^5 (5=8-3)

=> 32/1 = number^5

=>

[tex]number = \sqrt[5]{32} [/tex]

number = 2

and what is the starting a1 ?

it must satisfy e.g. a3

1 = a1 * 2^2

=> a1 = 1/4

therefore, the requested definition looks like

g(1) = 1/4

g(n) = g(n-1) * 2

Answer:

(3x6) / 6 is the correct answer

Answer:

Thus 3 is the answer to the question

Answer:

The probability that the second number is odd is 50%.

Step-by-step explanation:

Given that Malik randomly picked two different numbers from 1 to 9, and the first one was odd, to determine what is the probability that Malik picked a second odd number given that the first number was odd, the following calculation must be performed:

Odd numbers = 1 - 3 - 5 - 7 - 9 = 5 odd numbers

Even numbers = 2 - 4 - 6 - 8 = 4 even numbers

4/8 = 0.5 x 100 = 50%

Therefore, if from 1 to 9 an odd number was obtained, 8 numbers remain, of which 4 are odd. Therefore, the probability that the second number is odd is 50%.

Answer:

The answer for plato is 2/9

Step-by-step explanation:

What is the probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5?

Answer:

The polynomial equation to give the difference in profit D after x years is:

Step-by-step explanation:

To obtain the difference in profit between the Companies A and B you can subtract the equation of company B to the equation of company A:

And we operate:

We can prove the obtained equation selecting a number of years to operate the profit equations, for example, we're gonna suppose the number of years is 3 (x = 3), we replace the formulas of profits:

Now, we subtract the two values:

At last, using our equation with the same number of years, the calculation must give us the same value (15.2 millions):

As you can see, the polynomial equation D = 3.4x + 5 is the correct to identify the difference in profit between the Companies A and B.

Answer:

D=0.5x+2

$7000000

Step-by-step explanation:

Answer:

Your right the answer is B a=60 , b=120

A ratio of 1:2 just means one value is twice that of the other.

Answer:

B (a=60, b=120)

Step-by-step explanation:

1. m∠AOB = 180°

2. Since the ratio of a to b is 1:2, set the measure of a as x, and the measure of b as 2x.

3. a+b = 180, so x+2x = 180, 3x = 180, x = 60

4. x = a, so if x=60, then a = 60

5. if b=2x, then b = 2a, which is 2*60 = 120

Hope this helps

Answer:

☥ [tex] \underline{ \underline{ \red{\large{\tt{S \: O \: L \: U \: T \: I \: O \: N}}}}} : [/tex]

☃ [tex] \large{ \tt{MP = x + 30\% \: of \: x}}[/tex]

➝ [tex] \large{ \tt{x + \frac{30}{100}x }}[/tex]

➝ [tex] \large{ \tt{x + 0.3x }}[/tex]

➝ [tex] \large{ \tt{1.3x}}[/tex]

☂ [tex] \large{ \tt{SP = 1.3x - 15\% \: of \: 1.3x}}[/tex]

⇾ [tex] \large{ \tt{1.3x - \frac{15}{100} \times 1.3x}}[/tex]

⇾ [tex] \large{ \tt{1.3x - 0.195x}}[/tex]

⇾ [tex] \large{ \tt{1.105x}}[/tex]

☼ [tex] \large{ \tt{Profit = SP - CP}}[/tex]

⟶ [tex] \large{ \tt{1.105x - x}}[/tex]

⟶ [tex] \large{ \tt{0.105x}}[/tex]

♨ [tex] \large{ \tt{P\% = \frac{Profit}{CP} \times 100 \%}}[/tex]

⤑ [tex] \large{ \tt{ \frac{0.105x}{x} \times 100\%}}[/tex]

⤑ [tex] \boxed{ \large{ \purple{\tt{10.5\%}}}}[/tex]

Hence , Profit % = 10.5 %

♕ Hope I helped ! ♡

☄ Have a wonderful day / night ! ♫

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

71300000

Step-by-step explanation:

See the image below:)

Answer:

p = 2

q = 7

..................

The two numbers are,

⇒ p = 13 and q = 2

What are Prime numbers?

Prime number is a whole number greater than 1 whose only factors are 1 and itself.

Here, p and q are both prime numbers and each less than 22.

Now, Both number p and q are prime numbers.

Let p = 13 and q = 2

Clearly, The number 13 and 2 both are prime numbers and less than 22.

Hence, p + q = 13 + 2 = 15

Since, 15 is an odd number but not prime.

So, The two numbers are,

p = 13 and q = 2

Learn more about the prime numbers visit:

https://brainly.com/question/145452

#SPJ2

Answer:

B. 9.3 x 10^7

Step-by-step explanation:

9.<3<0<0<0<0<0<0.

Move the decimal point until there is only one whole number left.

Answer:

D. 4,   B. 4,   C. 8

Step-by-step explanation:

The data are centered around 4; the plot is pretty evenly spread out around the center, 4 miles.  (The actual average is 3.88.)

The most number of miles run (look for tallest column of dots) is 4.

The number of people who ran is 8 (count the dots above the 5-mile label).

The required equation will be y ≤ 1/3 x - 4

The standard form of a linear equation is y = mx + b

Using the coordinate points (0, -4) and (3, -3)

m = -3+4/3-0

m = 1/3

Since the line cross the y-axis at y = -4, henc b = -4

Get the required equation;

y = mx + b

y = 1/3x - 4

Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4

Learn more inequality here: https://brainly.com/question/11613554

Answer:

y = -10/3x + 5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of -10/3, and a y intercept of 5

We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!

Starting with the slope, substitute -10/3 as m in y=mx+b

y = -10/3x + b

Now for the y intercept, substitute 5 as b in the equation

y = -10/3x + 5

Hope this helps!

See more on this topic here: https://brainly.com/question/17788099

Answer:

the third one.........

[-2,0] and (7,oo)

It is the only one that matches

HOPE This helps!

Step 1) Solve the second equation for

x

:

x

+

3

y

=

−

5

x

+

3

y

−

3

y

=

−

5

−

3

y

x

+

0

=

−

5

−

3

y

x

=

−

5

−

3

y

Step 2) Substitute

−

5

−

3

y

for

x

in the first equation and solve for

y

:

3

(

−

5

−

3

y

)

−

2

y

=

7

−

15

−

9

y

−

2

y

=

7

−

15

−

11

y

=

7

15

−

15

−

11

y

=

15

+

7

0

−

11

y

=

22

−

11

y

=

22

−

11

y

−

11

=

22

−

11

−

11

y

−

11

=

−

2

y

=

−

2

Step 3) Substitute

−

2

for

y

in the solution to the second equation at the end of Step 1 and calculate x:

x=−5−(3×−2)

x=−5−(−6)

x=−5+6

x=1

The solution is x=1 and y=−2

Answer:

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.

Answer:

the outlier is 58. it skews the data

Step-by-step explanation:

Answer: A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

we have 2pi = 360°

=> 2pi× 330/360 = 360° × 330/360

=> 11pi/6 = 330°.

Please keep asking if you still have trouble understanding

Answer:

Hello! answers:

Question 13: 12

Question 14: 18

Question 15: 15

Hope that helps!

For question 13 I found the answer by doing 6 ÷ 2 and 6 ÷ 2 = 3 so I know that 4 will be enlarged by 3 so 4 × 3 = 12 so 12 is the answer for 13

For question 14 I found the answer by using 1 of the sides so I did 24 ÷ 16 and 24 ÷ 16 = 1.5 and 1.5 × 12 = 18 so the answer is 18

For question 15 I did the same thing!

25 ÷ 20 = 1.25 and 1.25 × 12 = 15 so 15 is the answer Hope that helps!

Answer:

5/9 miles

Step-by-step explanation:

Answer:

Hello! Your answer would be, C)

Step-by-step explanation:

Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Brainiest plz! Hope you make an 100%! -Amelia♥

Answer:

V≈83.14

AL=96

Surface A≈116.78

Base A≈10.39

Step-by-step explanation:

Step-by-step explanation:

base area of hexagonal prism =

6× ½×(2)(2)× sin 60° (regular prism)

= 12×½√3 = 6√3 sq. inches

Volume = base are x height

= 6√3 x 8 = 48√3 cu. inches

or 83.14 cu. inches

the lateral area = 6 × (2×8) = 96 sq. inches

total area = 2×(6√3) + 96

= (12√3 + 96) sq. inches

or 116.78 sq. inches

First lets find out how much sugar was needed

1/4=1/4=2/4

2/4+1/6=6/12+2/12=8/12

8/12 simplified=2/3

2/3 of the sugar is needed

3/4-2/3=9/12-8/12=1/12

1/12 of the sugar was left