The maintenance crew of a hotel has to monitor the temperature of the hotel pool and hot tub. To enhance comfort, the management team requests that the mean pool temperature and the mean hot tub temperatures not differ by more than 15 degrees. To estimate the difference in these mean temperatures the maintenance crew selects a random sample of 8 times to check the hot tub temperature and a random sample of 10 times to check the pool temperature. Although the sample sizes are small, the distribution of temperature for the pool and for the hot tub does not show strong skewness or any outliers. The mean pool temperature is 86 degrees with a standard deviation of 3 degrees. The mean hot tub temperature is 101 with a standard deviation of 1.8 degrees. What is the correct 95% confidence interval for the true difference in the population means (hot tub – pool)? Use the conservative df.

Answer:

There were 1,495 students enrolled at liberty middle this year

Step-by-step explanation:

1,300 + 15%

Given:

The functions are:

[tex]f(x)=2x+1[/tex]

[tex]g(x)=x^2[/tex]

To find:

The value of [tex]fg(3)[/tex].

Solution:

We have,

[tex]f(x)=2x+1[/tex]

[tex]g(x)=x^2[/tex]

Substitute [tex]x=3[/tex] in each function.

[tex]f(3)=2(3)+1[/tex]

[tex]f(3)=6+1[/tex]

[tex]f(3)=7[/tex]

And,

[tex]g(3)=(3)^2[/tex]

[tex]g(3)=9[/tex]

We know that, product of two functions is defined as:

[tex]fg(x)=f(x)\times g(x)[/tex]

Using this rule, we get

[tex]fg(3)=f(3)\times g(3)[/tex]

[tex]fg(3)=7\times 9[/tex]

[tex]fg(3)=63[/tex]

Therefore, the value of [tex]fg(3)[/tex] is 63.

Answer:

Most likely a street

Step-by-step explanation:

depends on how big the track is

Answer:

where are the questions

Step-by-step explanation:

did you know mouses can scream

Aisha's net balance after writing the check of $100 to five employees will be $260 .

Given, Aisha’s account balance $760.

Now, to get the net balance of account after deductions .

Remaining amount = Original Balance - Payment amount.

Substitute the values,

Remaining amount = $760 - 5 × $100

Remaining amount = $760 - $500

Remaining amount = $260

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Answer:

1.10 2.158 3.157 4.100. 5.32 6. 168 7.99 8.46 9.3

Step-by-step explanation:

Answer:

9, 84, 30, 10, 157, 45, 168, 3, 100, 99

Step-by-step explanation:

Answer:

The number will be 705.

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation: X can only have 1 anser and -1.25 would make it negative.

Answer:

-2/5 × 3/3 = -6/15

1/5 × 3/3 = 3/15

Five rational numbers in between are : -1/3, -4/15, -1/5, -2/15, -1/15

Answer:

Below in bold.

Step-by-step explanation:

sin θ = 4 cos θ

Note that tan θ = sin θ / cos θ so we

Divide both sides by cosθ:

tan θ = 4

θ = 75.96

= 75 degrees 58 minutes.

Answer:

Let x=a number

2x-3=2+3x

La respuesta correcta para esta pregunta abierta es la siguiente.

Desafortunadamente, no nos especificas a qué escuela te refieres, ni al lugar, condado, pueblo, región o ciudad. Hay miles de grupos de"5to Grado." ¿A cuál de todos te refieres?

Tampoco especificas si esta es una pregunta de cultura en general, de música, o es algún problema de matemáticas o estadística.

Si fuera de matemáticas, también se te olvidó incluir todos los datos, números y nombres para ayudarte a responder.

Sin embargo, con la idea de ayudarte un poquito, podemos comentarte lo siguiente de manera general.

El tipo de música grupera de banda gusta más entre los alumnos de quinto grado es generalmente la música de banda como la Banda Machos, los Tucanes de Tijuana, La Banda MS, la Banda el Recodo de Cruz Lizárraga, la Banda Mexicana o la Banda Arrolladora. Estas bandas mexicanas son muy populares en México, Centro y Sudamérica y los Estados Unidos.

Answer:

the length of the  longer piece of cable is 24 ft

Step-by-step explanation:

shor piece = s

Long piesce = s+9

s + s+9= 39

2s = 30

s = 15

short = 15

15 +9 = 24

long = 24

15+24 = 39

Answer:

24 feets

Step-by-step explanation:

let the shorter cable be x feets

so the longer cable will be 9 plus the shorter cable which is (9 + x) feets

[tex]x \: = \: \frac{30}{2} \\ x = 15feets[/tex]

Answer:

-10

Step-by-step explanation:

-3/4(x+2)=6

x+2=6/(-3/4)

x+2=(6/1)(-4/3)

x+2=-24/3

x+2=-8

x=-8-2

x=-10

Answer:

First you need to solve part one. Once you have done that. You need to incorporate those numbers into the second step;)

Answer:

What are the bases and heights?

It doesnt make sense because i got 104 but thats not one of the options.

Answer:

Read the explanation to find your answer.

Step-by-step explanation;  

First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100.

Answer:

The answer is 75.65%.

Step-by-step explanation:

Since we are decreasing the percentages, we will first take 100 and subtract 11% from it, which is 89%.  Now take 15% and turn it into decimal form, and we get 0.15.  Then multiply 0.15 by 89 and we get 13.35.  Now we have our number 13.35, we will subtract 89 from 13.35, and we get 75.65%.  Therefore, the answer is 75.65%.

Answer:

8 battery =12

20 battery =?(x)

8x=240

x=240÷8

x=30

for 20 battery..it would cost 30

Step-by-step explanation:

The cost of 20 rechargeable batteries will be $30.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The cost of A package of 8 rechargeable batteries = $12.

Now,

Since, The cost of A package of 8 rechargeable batteries = $12.

So, The cost of A package of 1 rechargeable batteries = $12/8

Hence, The cost of A package of 20 rechargeable batteries is,

= $12/8  x 20

= $30

Thus, The cost of 20 rechargeable batteries will be $30.

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Answer:

The domain of √x - 1 is x ≥ 0

Step-by-step explanation:

The function f(x) = √x has real outputs only for x ≥ 0.  The constant -1 is defned for all x.  

The domain of √x - 1 is x ≥ 0.

Answer:

D

Step-by-step explanation:

Answer:

C. The mode of the number of miles Ian skated each day in July is less than the mode of the number of miles lan skated each day in August.

Step-by-step explanation:

Hope this helps :)

Answer:

The purpose is to increase the generalizability of the results. By drawing a random sample from a larger population the goal is that the sample will be representative of the larger group and less likely to be subject to bias

Step-by-step explanation:

Answer:

Step-by-step explanation:

The purpose is to increase the generalizability of the results. By drawing a random sample from a larger population the goal is that the sample will be representative of the larger group and less likely to be subject to bias

Answer:

0.92

Step-by-step explanation:

Answer:

$62

Step-by-step explanation:

Hello it's $62 because 31 x 2 = 62 and it was half off so that is why its $62

Answer:

The original price is 62 dollars.

Answer:

9 1/2

Step-by-step explanation:

Answer:

[tex]8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\[/tex]

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Answer:

The probability of selecting two Democrats and three Republicans is 10.7%.

Step-by-step explanation:

Given that a city council consists of seven Democrats and eight Republicans, if a committee of five people is selected, to find the probability of selecting two Democrats and three Republicans the following calculation must be performed:

7 = 100

2 = X

2 x 100/7 = X

28.57 = X

8 = 100

3 = X

3 x 100/8 = X

37.5 = X

0.2857 x 0.375 = X

0.107 = X

0.107 x 100 = 10.7

Therefore, the probability of selecting two Democrats and three Republicans is 10.7%.

Answer:

It’s 50

Step-by-step explanation:

I just know

Answer:

Point D: (2, 9)

Step-by-step explanation:

The first quadrant includes points that have a positive x coordinate and a positive y coordinate. The only point that meets these conditions is point D, (2, 9).