The mean monthly water bill for 44 residents of the local apartment complex is $104. What is the best point estimate for the mean monthly water bill for all residents of the local apartment complex?

Answer:

Step-by-zbastep explanation:

Answer:

a) [tex]P(3.5 \leq X \leq 4.25) = 0.7492[/tex]

b) The 95th percentile is 4.4935 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours.

This means that [tex]\mu = 4, \sigma = 1.2[/tex]

16 reviews.

This means that [tex]n = 16, s = \frac{1.2}{\sqrt{16}} = 0.3[/tex]

A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs.

This is the pvalue of Z when X = 4.25 subtracted by the pvalue of Z when X = 3.5. So

X = 4.25

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{4.25 - 4}{0.3}[/tex]

[tex]Z = 0.83[/tex]

[tex]Z = 0.83[/tex] has a pvalue of 0.7967

X = 3.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{3.5 - 4}{0.3}[/tex]

[tex]Z = -1.67[/tex]

[tex]Z = -1.67[/tex] has a pvalue of 0.0475

0.7967 - 0.0475 = 0.7492

So

[tex]P(3.5 \leq X \leq 4.25) = 0.7492[/tex]

C. Find the 95th percentile for the mean time to complete one month's reviews.

This is X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]1.645 = \frac{X - 4}{0.3}[/tex]

[tex]X - 4 = 0.3*1.645[/tex]

[tex]X = 4.4935[/tex]

The 95th percentile is 4.4935 hours.

Answer:

3. y = -⅕x - 5

Step-by-step explanation:

The equation of straight line is given by the formula, y = mx + c

Where;

m is the slope.

x and y are the points.

c is the intercept.

Given the standard form equation;

x + 5y = -25

Rearranging the equation, we have;

5y = -x - 25

Dividing all through by 5, we have;

y = -⅕x - 5

Answer:

x-axis = [tex]\frac{9\pi }{2}[/tex]

y-axis = [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]

Line x =3 :  [tex]\frac{44\sqrt{3} }{5} \pi[/tex]

Line x = 6 : [tex]\frac{84\sqrt{3}\pi }{5}[/tex]

Step-by-step explanation:

Given lines : y = √x

                     y = 0

                     x = 3

To determine the volumes generated we will use the disk method for each of the lines,

attached below is the detailed solution for  line x =3 , same procedure will be repeated for each value of x and y to obtain the given results

The volume generated  ( x axis )

= [tex]\frac{9\pi }{2}[/tex]

volume generated ( y _axis )

=  [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]

Volume about  x = 3

=  [tex]\frac{44\sqrt{3}\pi }{5}[/tex]

Volume about  x = 6

= [tex]\frac{84\sqrt{3}\pi }{5}[/tex]

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

First Step: Solve the exponent 3^2=9

Then, you get 60 divided by 4-9+2(5)

Then, you do Multiplication and Division from left to right, so 60/4=15, 2(5)=10

Then, you get 15-9+10

Then, you do addition and subtraction from left to right.

15-9=6, then 6+10=16

Answer:

Example 1: Change sin 80° cos 130° + cos 80° sin 130° into a trigonometric function in ... Example 2: Verify that cos (180° − x) = − cos x ... Example 7: Verify that sin (360° − x) = − sin x.

Answer: 4 pounds of flour

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

85.625 is the answer

Step-by-step explanation:

or, 85 whole 5/675

Step-by-step explanation:

I think your answer will be 15

Answer:

i think b

Step-by-step explanation:

Answer:

[tex]\huge\boxed{a) 2x+7y}[/tex]

[tex]\huge\boxed{b) 7g+3h}[/tex]

Step-by-step explanation:

Part a:

= 3x + 5y - x + 2y

Combining like terms

= 3x - x + 5y + 2y

= 2x + 7y

Part b:

= 3g + 5h + 4g - 2h

Combining like terms

= 3g + 4g + 5h - 2h

= 7g + 3h

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

37.7 inches

Step-by-step explanation:

Formula of circumference:

[tex]2\pi r[/tex]

r = radius

In the current case,

radius is 6 inches

Hence,

circumference=

[tex]2*\pi *6\\= 12\pi\\= 37.6991118431[/tex]

≅ 37.7 inches

Feel free to mark it as brainliest

Answer:

தமிழ்நாட்டில் உள்ள நெல் வகைகளை குறிப்பிட்டு எழுதுக

Answer:

How does the novel "In Cold Blood" address the question of responsibility regarding the Clutter murders?

Answer:

25.50x40= 1020/ week

times 52 weeks- $53040

Answer:

D = 6.32

Step-by-step explanation:

-2 to -4 = 2

-3 to 3 = 6

D² = 2² + 6²

D² = 4 + 36 = 40

D = 6.32

Answer:

The probability percentage that both players will be seniors is 15.38%.

Step-by-step explanation:

Given that a football team has 5 freshman, 8 sophomores, 11 juniors, and 16 seniors, if two are chosen at random to participate in the coin toss, to determine what is the probability that both players chosen will be seniors the following calculation must be done:

5 + 8 + 11 + 16 = 40

16/40 = X

4/10 = X

0.4 = X

15/39 = X

5/13 = X

0.38 = X

0.4 x 0.38 = X

0.1538 = X

Thus, the probability percentage that both players will be seniors is 15.38%.

Answer:

19x - 25

steps:

(8x + 11x) + (-7 - 18)

19x + (-25)

positive x negative = negative

19x - 25

Answer:

19x - 25

Step-by-step explanation:

(8x + 11x) + (-7 - 18) <------- add the bold ones (combine like terms)...

19x + (-7 - 18) <--------------- subtract the bold ones...

(19x) - 25 <-------------------- eliminate parenthases

19x - 25 <--------------------- solution...

Answer:

a=81.0

there ya go

Answer:

107r³

Step-by-step explanation:

Try solving it using

An algebraic expression that represents the product of r cubed and one hundred seven is 107r³.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that represents the product of r cubed and one hundred seven.

Therefore, an algebraic expression that represents the situation

r cubed = r³

one hundred seven = 107

Thus, it would be;

107r³

Hence, an algebraic expression that represents  the product of r cubed and one hundred seven is 107r³.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ5

Answer: 9^ 5

Step-by-step explanation: since there is 5 9’s multiplied by each other, it would be 9 to the 5th power.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathtt{9\times9\times9\times9\times9}\\\mathtt{= 81\times 81\times9}\\\mathtt{= 6,561\times9}\\\mathtt{= 59,049}\\\mathtt{= 9\times 9\times 9 \times 9 \times 9 \rightarrow 9^5}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathtt{9^5}}\huge\checkmark[/tex]

[tex]\huge\boxed{\mathtt{Good \ luck \ on \ your \ assignment\ \& \ enjoy}}\\\huge\boxed{\mathtt{your \ day!}}[/tex]

73

Step-by-step explanation:

I think that this is an isosceles triangle, and like since ST=SR

Therefore, m(<T) = m(<R)= 73

Answer:

x2 - 9x +20

Step-by-step explanation:

Answer:

-0.78

Step-by-step explanation:

9z+7

9z = -7

z = -7÷9

z = -0.78

Answer:

8

Step by Step Explanation

Answer and Step-by-step explanation:

To find Z, we have to use the trigonometric function of Sine.

The Sine trig function looks like this:

sin(Angle) = [tex]= \frac{opposite.side}{hypotenuse}[/tex]

Plug in the values and solve for z.

[tex]sin(30) = \frac{4}{z} \\\\\\\\\\z = \frac{4}{sin(30)}[/tex]

Plug into a calculator and solve.

We get z to be 8.

#teamtrees #PAW (Plant And Water)

Answer:

0.09 = 9% probability that the student is proficient in neither reading nor mathematics

Step-by-step explanation:

We solve this question treating the events as Venn probabilities.

I am going to say that:

Event A: A student is proficient in reading.

Event B: A student is proficient in mathematics.

A total of 82% of the students were found to be proficient in reading

This means that [tex]P(A) = 0.82[/tex]

74% were found to be proficient in mathematics

This means that [tex]P(B) = 0.74[/tex]

65% were found to be proficient in both reading and mathematics.

This means that [tex]P(A \cap B) = 0.65[/tex]

What is the probability that the student is proficient in neither reading nor mathematics?

This is:

[tex]P = 1 - P(A \cup B)[/tex]

In which

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

With the values that we have:

[tex]P(A \cup B) = 0.82 + 0.74 - 0.65 = 0.91[/tex]

Then

[tex]P = 1 - P(A \cup B) = 1 - 0.91 = 0.09[/tex]

0.09 = 9% probability that the student is proficient in neither reading nor mathematics