is 40 000 less than 43 987
​

The sample mean is an estimate of the population mean.

The sample mean is exactly equal to the population mean

When the population mean is known; the value of the population mean can be used as the sample mean.

This is so because:

The sample mean is an estimate of the population mean.

And it is represented as:

[tex]\bar x = \mu[/tex]

Hence, the true statement is that the sample mean is exactly equal to the population mean

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Answer:

72/100

Step-by-step explanation:

hope this helps!

Answer:

18/25

Step-by-step explanation:

Answer:

56.16 sqm

Step-by-step explanation:

Area of triangle = 0.5 * base * height

= (0.5 * 7 * 7.2) + (0.5 * 8.6 * 7.2)

= (25.2) + (30.96)

= 56.16

Answer:

They are adding 2 by each number.

A set of numbers is a group of numbers that are related in one way or the other. The statement that best describes the set is:

The set of even numbers from 14 to 22

Given that:

[tex]Set = 14\ 16\ 18\ 20\ 22[/tex]

From the above set of numbers, we have the following observations

So, we can describe the set using the following statement:

The set of even numbers from 14 to 22

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Answer:

3x + 1

Step-by-step explanation:

answer: the student made an error. The first factor, 9, was distributed to only one of the terms inside the parentheses

Answer:

6-13=7 , 7-13=6

6+1=7,7-1=6,

Step-by-step explanation:

Answer:

The 95% confidence interval   [tex] 81.852  <  \mu <  280.098 [/tex]

Step-by-step explanation:

From the question we are told that

   The  sample mean is  [tex]\= x  =  180.975[/tex]

   The standard deviation is  [tex]\sigma  =  143.042[/tex]

   The sample size is n = 8

Given that the confidence level is  95%  then the level of significance is  

    [tex]\alpha =( 100- 95) \%[/tex]

=>  [tex]\alpha =0.05[/tex]    

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.96 *  \frac{ 143.042 }{\sqrt{8} }[/tex]

=>  [tex]E = 99.123 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]180.975 -99.123 <  p <  180.975 +99.123[/tex]

=>    [tex] 81.852  <  \mu <  280.098 [/tex]

Using the t-distribution, it is found that the 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).

The information given is:

We have the standard deviation for the sample, hence, the t-distribution is used.

The interval is given by:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value for a two-tailed 95% confidence interval with 8 - 1 = 7 df is t = 2.3646.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 180.975 - 2.3646\frac{143.042}{\sqrt{8}} = 61.39[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 180.975 + 2.3646\frac{143.042}{\sqrt{8}} = 300.56[/tex]

The 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).

To learn more about the t-distribution, you can take a look at https://brainly.com/question/25077184

Answer:

bottom graph of left picture

Step-by-step explanation:

For each day he makes his bed, he earns $0.50

In 1 day he earns $0.50

In 2 days he earns $1.00

In 3 days, he earns $1.50

...

In 8 days, he earns $4.00

Look in the 4 graphs.

Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?

It is the second graph (bottom graph of left picture.)

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

[tex]\mathsf{x^2 + 8x = 0}\\\larg\text{Firstly: FACTOR the LEFT SIDE of the equation}\\\mathsf{\rightarrow x(x + 8) = 0}\\\large\text{Secondly: SET the FACTORS to equal to 0}\\\mathsf{\rightarrow x \approx 0\ or \ x + 8 = 0}\\\large\text{Thirdly: SIMPLIFY}\\\mathsf{\rightarrow x = 0\ or \ x = -8}\\\huge\text{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = -8}}}\huge\checkmark[/tex]

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

Answer:

8.75

Step-by-step explanation:

Answer:

8 3/4

Step-by-step explanation:

There are 10,626 ways of arranging the required offices from a body of 24 students.

Combination deals with the way in which a arrangement can be made from a particular lot. In  this case, we want to select  a president, minister of Arts, minister of PE department, and minister of Science from a body of 24 students.

Hence;

24C4 = 24!/4! (24 - 4)! = 24!/4!20!

So;

24 * 23 * 22 * 21 * 20!/20! * 4 * 3 * 2*1

= 24 * 23 * 22 * 21 / 4 * 3 * 2*1

= 10,626 ways

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Answer:

x = √80

Step-by-step explanation:

Let's find the hypotenuse of the top side triangle.

Using the Pyth. Theorem:

Let y be the hypotenuse of the top side triangle:

2^2 + 4^2 = y^2

y = √20

Now, the rectangle facing us is formed by two indentical triangles, therefore the bottom side of the triangle is also y = √20 .

Using the Pyth.Theorem again, we can find x:

x^2 + (√20)^2 = 10^2

x = √80 .

Answer:

Step-by-step explanation:

Answer:

Choice c, 3.3

Step-by-step explanation:

To find out the vaule of X, we have to divided -9.24 by 2.8. We have to divided because when X and next to a number, it means to multiply, and the opposite of multiplication is division. To double check to determine whether or not the answer is correct, simply multiply -3.3 by 2.8 and you will get -9.24.

Answer:

I think it is 3600

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Mode is the number that appears the most in the set of data, so we would need to find the number that occurs the most. In this case, it's 52.  

Answer:

Your answer whould be 58

Step-by-step explanation:

exmple 67,67,78,78,67,43,34,12, the mobe is 67

Answer:

[tex]\displaystyle y + 2 = 4(x + 1)[/tex]

Step-by-step explanation:

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so 4 remains as is as you proceed with plugging the information into the Point-Slope Formula:

[tex]\displaystyle [-1, -2] \\ \\ \boxed{y + 2 = 4(x + 1)}[/tex]

**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.

I am joyous to assist you at any time.

Answer:

hello

[( 2 ² * 6 ⁰ ) / 7 ] ³

=  ( 2 ⁶ * 1 ³) / 7 ³

= ( 64 *1 ) / 343

=   64/343

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Ed2021

-24.7+30=5.3

his new balance is 5.3

Answer:

$54.70

Step-by-step explanation:

take $24.70 and add $30 to it and $24.70+$30=$54.70

Answer:

The answer is 12. In 3 cups of chocolate, there are 12 1/4 cup in them.

Step-by-step explanation:

each 1 cup had four  1/4 cup in them. So 4 times 3 cups is 12.

There are 12 servings of 1/4 cup in 3 cups of chocolate.

The term "serving" typically refers to a specified portion or amount of food or drink that is recommended or commonly consumed at one time. It helps in providing a standard measurement for nutritional information and portion control.

To determine the number of 1/4 cup servings in 3 cups of chocolate, we need to calculate the total number of 1/4 cup servings that can be made from the given amount.

1. One cup is equal to 4 quarters (1 cup = 4 × 1/4 cup).

2. To find the number of 1/4 cup servings in 3 cups, multiply 3 cups by the conversion factor (4 × 1/4 cup) for each cup.

3 cups × (4 × 1/4 cup) = 3 cups × 1 cup = 3 cups

Therefore, there are 3 * 4 = 12 servings of 1/4 cup in 3 cups of chocolate.

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Answer:

$6.30

Step-by-step explanation:

A sharpener is 0.90 in dollars, so 3*0.9 is 2.7. 10-2.7=6.3, so the answer should be $6.30

Correct question is;

Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains 450 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Rosters wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL)calories (enter your response as an integer).

Answer:

A)UCL = 466

LCL = 434

B)UCL = 462

LCL = 438

Step-by-step explanation:

We are given;

Mean;μ = 450

Standard deviation; σ = 20

Sample size; n = 25

A) We are told that these limits are chosen to be four standard deviations from the target.. This means that z-value = 4.

Thus, upper control limit will be the formula;

UCL = μ + 4σ/√n

UCL = 450 + 4(20)/√25

UCL = 450 + 16

UCL = 466

Lower control limit will be;

LCL = μ - 4σ/√n

LCL = 450 - 4(20)/√25

LCL = 450 - 16

LCL = 434

B) We are now told that these limits are chosen to be three standard deviations from the target.

Thus, z = 3

So;

UCL = μ + 3σ/√n

UCL = 450 + 3(20)/√25

UCL = 450 + 12

UCL = 462

Lower control limit will be;

LCL = μ - 3σ/√n

LCL = 450 - 3(20)/√25

LCL = 450 - 12

LCL = 438

Answer:

10

Step-by-step explanation:

The sum of the measures of the angles of a triangle.is 180 degrees, so:

3x-2+8x-5+7x+7=180

18x=180

x=10

Answer:

I believe it is $1,607 hope it helps

Answer:

x = 29

Step-by-step explanation:

(6x-1) = (5x+28)

or, 6x-1 = 5x+28

or, 6x-5x = 28+1

or, x = 29