A beachfront hotel is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of nights each guest will stay in a single visit. Using a sample of guests who stayed last year, the average number of nights per guest is calculated at 5 nights. The standard deviation of the sample is 1.5 nights. The size of the sample used is 120 guests and the beachfront hotel desires a precision of plus or minus 0.5 nights.

Required:
a. What is the standard error of the mean in the lakefront resort example?
b. Within what range below can the resort expect with 95% confidence for the true population mean to fall?

Answer:

a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:

28 + 49 + 77 = 154

= 7*4 + 7*7 + 7*11

= 7 (4 + 7 + 11)

= 7 (22)

= 154

Step-by-step explanation:

a) Data and Calculations:

Number of stamps that Mia has = 28

Number of stamps that Alex has = 49

Number of stamps that Michael has = 77

GCF = 7

b) GCF = Greatest common factor.  The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products.  The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.

Answer:

1. 4(x+1)

2. 2(2x2−5x−2)

Step-by-step explanation:

[tex]6.[/tex]

[tex] \frac{1}{2} = \frac{1.5}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]

[tex] \frac{8}{12} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]

[tex] \frac{3}{8} = \frac{1.125}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]

[tex] \frac{10}{15} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]

[tex] \frac{4}{5} = \frac{2.4}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]

[tex] \frac{9}{10} = \frac{2.7}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]

[tex]7.[/tex]

[tex]Kenny = \frac{1}{8} [/tex]

[tex]Gail = \frac{2}{4} [/tex]

[tex] \frac{1}{8} ? \frac{2}{4} [/tex]

[tex]\frac{1}{8} ? \frac{2 \times 2}{4 \times 2} [/tex]

[tex] \frac{1}{8} < \frac{4}{8} [/tex]

[tex] \frac{1}{8} < \frac{2}{4} [/tex]

[tex]Gail \: \: ate \: \: more \: \: than \: \: Kenny[/tex]

Answer:

The fourth option i.e. 'no solution' is correct.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]

Adding both equations

[tex]-\frac{2}{3}x-y=2[/tex]

[tex]+[/tex]

[tex]\underline{\frac{2}{3}x+y=6}[/tex]

[tex]0=8[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]

0 = 8 is FALSE!

Therefore, the system of equations has no solution.

Thus,

No Solution!

Hence, the fourth option i.e. 'no solution' is correct.

Answer:

9/p+6

Step-by-step explanation:

Answer:

(7,2)

45 units squared

Step-by-step explanation:

In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).

AB=DC=5

    -3+5=2

BC=AD=9

     -2+9=7

Therefore D is (7,2)

We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45

Answer:

46

Step-by-step explanation:

230 divided by 5

Answer:

2517

Step-by-step explanation:

1,509 were men, 1,866 were women 1,509 + 1,866 = 3,375

3,375 were adults, 4,233 total people 4,233 - 3,375 = 858

858 were children, 3,375 -  858 = 2517

Answer:

6

Step-by-step explanation:

10, 10, 10, 10, 10, 10. Those are 6 tens

Answer:

ok

Step-by-step explanation:

Answer:

They would weigh 47.5 pounds on the moon or if you want to use kilograms it would be 21.5 kilograms.

Step-by-step explanation:

Pound way If you want to find the answer in pounds you first want to add 175 and 110 to get 285. Next you divide it by 6 because you want to find 1/6 of it and you should get 47.5 pounds.

Kilogram way If you want to find the answer in kilograms you would first add 79 and 50 to get 129. After you find that, you would divide it by 6 because you want to find 1/6 of it. You should get 21.5 so 21.5 kilograms would be your answer.

I apologize if I made any mistakes.

Answer: C

3 n – 9 = 8

Step-by-step explanation: Hope this helps:)

Answer:

3 n - 9 = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jenny planned to solve 2/3 of homework

On Saturday she solved 28 problems, which is 7/8 of the planned number

Planned number is:

Jenny's homework was:

Answer:

48 problems

Step-by-step explanation:

trust me, I do RSM too.

Answer:

Answer:

put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle

For the ppl who can click on brainly:

Part A:

Like Cupcakes

Do Not Like Cupcakes

Total

Like Brownies

37

22

59

Do Not Like Brownies

35

6

41

Total

72

28

100

Part b: 6

Part c: You really have to figure out how to word this 37- 72=35 35-41=6

hope it helps

Answer:

1.)  a=600

2.)b=8.5

3.)c=1

4.)d=163.500

5.)e=0.1

6.)f=20

7.)g=0.010

8.)h=-36

Step-by-step explanation:

Answer:

The sensitivity rate of the test is 88%.  For its part, the specificity rate of the test is 91%.

Step-by-step explanation:

The sensitivity of a medical test is its ability to detect positive cases of the disease, while the specificity of the test is its ability to detect negative cases.

In total, there are 270 cases:

-80 positives

-10 false negatives

-15 false positives

-165 negatives

Thus, to calculate both concepts, the following calculations must be performed:

Sensitivity = positives / (positives + false negatives)

X = 80 / (80 + 10)

X = 80/90

X = 0.88

Thus, the sensitivity rate of the test is 88%.

Specificity = negatives / (negatives + false positives)

X = 165 / (165 + 15)

X = 165/180

X = 0.91

For its part, the specificity rate of the test is 91%.

As we know that

[tex]\sf \blue{Perimeter = 2(l + b)}[/tex]

Now,

[tex]\sf \orange{Area = l \times b}[/tex]

Area=28[tex]\bold{ m^2  }[/tex] 

Answer:

Acute

Step-by-step explanation: Acute because it is less than a 50 degree angle and under that is considered an acute angle.

Answer:

Zstatistic < Zcritical ; then we reject the null

-0. 790 > - 1.96

Hence, we fail to reject the Null

Step-by-step explanation:

Define the null and alternative hypothesis :

H0 : μ = 421

H1 : μ < 421

Given that :

Sample mean (x) = 416

Sample standard deviation, s = 29

α = 0.025

Sample size, n = 21

This is a lef tailed teast, hence if ;

Decision Rule :

Zstatistic < Zcritical ; then we reject the null

Zcritical at α = 0.025 (1 tailed) = - 1.96

Zstatistic = (x - μ) s/sqrt(n)

(416 - 421) / 29/sqrt(21)

Zstatistic = - 5 / 6.3283188

Zstatistic = - 5 / 6.3283188 = - 0.79

-0. 79 > - 1.96

Hence, we fail to reject the Null

Answer: try -2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

If we use PEMDAS, we know that we need to do the multiplication and division first. (1/2)^4 is equal to 1^4/2^4, which is 1/16. Next, 1/16 * 32 is equal to 2. Finally, we do 6 divided by 3, which is 2. 2 - 2 is equal to 0, so the answer is 0.

Answer: 28

When you simplify it down, you get:

8 + 9 - 12 - 5 + 28.

When you combine all like terms, you get 28.

Also, proof is shown in the image below.

The value of the expression 2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4) using PEMDAS rule is 28.

We have,

Expression:

2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4)

Using the PEMDAS rule.

Remove the parenthesis.

2³ + 3² – 3 x 4 – 5² ÷ 5 + 28

Simplify the exponents such as 2³, 3², and 5².

8 + 9 - 3 x 4 - 25 ÷ 5 + 28

Simplify the multiplication such as 3 x 4.

8 + 9 - 12 - 25 ÷ 5 + 28

Simplify the division such as 25 ÷ 5.

8 + 9 - 12 - 5 + 28

Simplify the addition and subtraction.

28

Thus,

The value of the expression is 28.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

a) The margin of error associated with a 95% confidence interval is of $4.73.

b) $26.49 to $35.95

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{19}{\sqrt{62}} = 4.73[/tex]

The margin of error associated with a 95% confidence interval is of $4.73.

Question b:

The lower end of the interval is the sample mean subtracted by M. So it is 31.22 - 4.73 = $26.49

The upper end of the interval is the sample mean added to M. So it is 31.22 + 4.73 = $35.95

So $26.49 to $35.95

Answer:

2,3,5,6

Step-by-step explanation:

Answer:

2,3,5,6 just did test and im from future edge 2023

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

Step-by-step explanation:

when x=5, 4(5)-3y=18

                        3y=2

                          y=2/3

The coordinate would be(5,2/3)

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

We can write a proportion relating the short segment to the full length:

  (x+1)/18 = 4/(4+5)

  x +1 = 8 . . . . . . multiply by 18 and simplify

  x = 7 . . . . . . . .  subtract 1