The mean age of the employees at a large corporation is 35.2 years, and the standard deviation is 9.5 years. A random sample of 4 employees will be selected. What are the mean and standard deviation of the sampling distribution of the sample mean for samples of size 4

Answers

Answer 1

Answer:

35.2 ; 4.75

Step-by-step explanation:

Given that :

Mean age, μ = 35.2 years

Standard deviation, σ = 9.5 years

The mean of the sampling distribution will be equal to the population mean, μ, this is according to the central limit theorem.

The standard deviation of the sampling distribution, is given by : σ/√n

n = sample size = 4

SD of sampling distribution = 9.5/√4 = 9.5 / 2 = 4.75


Related Questions

Identify Slope and Y intercept for the equation X=4 M=B=

Answers

Undefined and Undefined

Since the equation is x = 4, there is no y-intercept as x will never equal 0.

Additionally, since the equation is x = 4, there is no change in x value and as such the slope can not be determined.

GEOMETRY HELP PLEASE ASAP!!
1

Answers

Hi you just have to multiply the top and side of each shape then add them all up so the final answer is 782 square inches

From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.

6(x + 40) = 252
A.
2
B.
none of these
C.
6
D.
42

Answers

The answer to your question is letter A.2

Evaluate the expression.
3 + (50- 5^2)

Answers

The answer is = 28 …………….

how can you find the area of a composite figure

Answers

B. Add the areas of all shapes and faces that make up the composite figure

In order to find a whole area you will have to split a shape into different area and then add them all together to find the total area.

pls pls pls help me I will give brainlist pls

Choose Yes if the capital letters are used correctly.

Choose No if capital letters are used incorrectly.



Who will win the election for President in november?

Group of answer choices

Yes

No





Timmy Johnson used to be a police officer. Now he is working for the company Bellsouth.

Group of answer choices

no

yes





John anounced on monday that he wants to be the new mayor of Dallas. He will have to campaign hard because the mayor we have now has been in office for many years.

Group of answer choices

yes

no





My father said he would vote for Tom. I believe the only reason that he said this is because Tom is his brother. He really isn't qualified to be the mayor.

Group of answer choices

no

yes



My family went on a long hike on the appalachian trail. We thought we would be finished in s couple of hours, however my sister sprained her ankle and we had to take it slow.

Group of answer choices

yes

no



There will be a voting booth set up at Northside elementary.

Group of answer choices

yes

no





Every Spring they put out new flower seeds so the Park is beautiful.

Group of answer choices

no

yes





I hope our new mayor will do something about all the trash on the sides of the roadways. When I am traveling down Main Street, I am in shock at what I see. I just wish people would care more about this and would help to keep our roads clean of trash!

Group of answer choices

no

yes





The River is full of chemicals that are very harmful.

Group of answer choices

yes

no





I'm glad our drinking water doesn't come from the Raven River. Some people say that this river is the dirtiest river east of the Mississippi.

Group of answer choices

yes

no





In later Summer, the sunflowers are gorgeous.

Group of answer choices

yes

no





After examining our dog, the Veterinarian said, "He looks healthy and strong to me." I grabbed spot and gave him a mighty hug. my mom was happy too. We thought for sure he was going to have to stay overnight.

Group of answer choices

yes

no





"Watch out!" yelled Monica.

Group of answer choices

no

yes





"When are we leaving?" Joe asked. Mom replied, "As soon as we can load up the car, Joe."

Group of answer choices

yes

no





Kyle practiced his pitching all Winter. He wanted to make the team with his best friend, Tom.

Group of answer choices

no

yes

Answers

Answer:

NoyesyesyesNo.yesNoyesNo.yesNoNoYesYesNo

These are the answers according to serials.

Examine the equation below. Use it to answer question 54.
6x + 3 = 3 (2x + 3)
Question 54 *
Which statement correctly explains whether the equation is true or not?
A.
B.
C
D.
It is not true because all the x values should be on the same side of the equation
It is true because the terms on the left are multiples of 3
It is not true because 3 x 3 does not equal 3
It is true because óx equals 3 * 2x

Answers

D= it's is true because ox equals 3*2x

Which of these are the constant?
4y+1+9x

Answers

Answer:

1 is the constant

Step-by-step explanation:

A math teacher noticed that 70% of seventh graders completed an extra credit assignment. About how many of 130 seventh graders would complete the extra credit assignment?

Answers

Answer:

91 students

Step-by-step explanation:

130 x 70% =91

Answer:

91 students

Step-by-step explanation:

so we are looking for 70% of 130

so we do the following:

130*.70

91 students

A bookstore costs $75 a day to keep open, and spends $10 for each book it
sells. The store charges $15 for each book it sells. If n represents the number
of books sold, which equation represents the revenue function for this
bookstore?
A. r= 15n
B. r= 25n
C. r= 10n
D. r= 75n

Answers

Answer: A. r= 15n

Step-by-step explanation: took the quiz.

The solution is, The cost function of this bookstore is 10n + 75.

What is cost function?

A cost function is a formula used to predict the cost that will be experienced at a certain activity level.

here, we have,

According to the given problem,

Cost to open bookstore for a day - $75

Price for selling each book = 10

Considering number of books to be n,

Total cost for selling each book = $(10×n)

Therefore total cost price =  $( 10n + 75)

Hence, we can conclude that the total cost function of this bookstore is represented by equation 10n + 75

Learn more about cost function here:

brainly.com/question/23313575

#SPJ5

5. (08.01) Line M is represented by the following equation: x + y = -1 What is most likely the equation for line P so the set of equations has infinitely many solutions?
O 2x + 2y = 2
O 2x + 2y = 4
O 2x + 2y = -2
O x - y = 1​

Answers

Answer:

2x + 2y = -2

Step-by-step explanation:

you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions

Help please anyone ?!

Answers

go to this link so we can ch at
https://b24-glbn5k.bitrix24.com/?secret=p5l3834l

Answer:

.62

Step-by-step explanation:

first move the decimal 3 places to make it a whole number and now we have 4960, now we divide 4960 by 8 giving us 620, now we move the decimal 3 places back and it gives us the decimal .62.

Which graphs are functions ( select all that apply ​

Answers

Answer:

The second and third option are both functions!!

Glad to help!!

Step-by-step explanation:

2 and 3 are the answer

A birthday present is placed into a rectangular shoe-box. The box has the following dimensions: 3 inches by 7 inches by 8 inches. What is the minimum amount of wrapping paper needed to cover the entire box?
a.146 sq. in.
b.101 sq. in.
c.202 sq. in.
d.168 sq. in.

Answers

Answer:

c. 202 sq. in

Step-by-step explanation:

2× (3×7 + 3×8 + 7×8)

= 2 × ( 21+24+56)

= 2× (101)

= 202

Can I get some help with this please.
The table models how the population of a city has changed over time. What does the y-intercept represent?

Answers

Answer:

The y-intercept represent:

122,000 (1985) represents the starting population from when they began calculating the data.

Step-by-step explanation:

A circular plate had a diameter of 10 cm. The rectangular table it sits on
has dimensions of 5000mm x 3600mm. How many plates can fit on this
table? What is the percentage they cover?
Please help me it’s 10 points also this is my first time on this app

Answers

Answer:

2292.9936

Step-by-step explanation:

circular plate had a diameter of 10 cm. The rectangular table it sits on

has dimensions of 5000mm x 3600mm. How many plates can fit on this

table? What is the percentage they cover?

Please help me it’s 10 points also this is my first time on this app

Given :

Dimension of table :

5000 mm * 3600 mm

Area of rectangle = Length * width

Area of table = 5000 * 3600

Area of table = 18000000 mm²

Recall :

1 cm = 10 mm

Diameter of circular plate = 10cm

Converting to mm :

10 * 10 = 100 mm

Area = diameter/ 2 = 100 mm / 2 = 50 mm

Area of a circle = πr²

Area of circular plate = 3.14 * 50² = 7850 mm²

Number of plates = 18000000 / 7850

= 2292.9936 plates

About 2293 plates

if you can help me youre a legend :)

Answers

Answer:

A. 9

B. 7

Step-by-step explanation:

A. 11 - 2 = 9

B. 1 + 6 = 7

A)11-2=9
B)6+1=7
I think this is the answ

x^2 + y^2 =-6x-14-6y

Answers

Answer:

x=−3+√(−y−1)(y+5)

Step-by-step explanation:

thats if your solving for x if not to math w    l   ay

Mr. pope lost 10 pounds in one month. At the end of the month, he weighed 240 pounds. By what percentage did Mr. Pope decrease he weight?
a. (4%)
b. (7%)
c.(10)
d.(15%)
AND ACTUALLY GIVE STEP-BY-STEP

Answers

Answer:

A. 4%

Step-by-step explanation:

We can find out the total weight in the beginning by adding 240+10 which is 250

Then we divide 10/250 or we can multiply both sides by 4 to move the denominator to the 1000th which is 40/1000 and remove a 0 from both sides which makes 4/ 100 or 0.04 which is 4%

Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for it.
16 cm
The volume of the sphere is about|
cm?

Answers

12 cm yo the approximate square in each individual variable

Chicos estoy en un aprieto ayudarme pls Sabiendo que una falda es 5 € más cara que una blusa y que si compro 6 faldas y 4 blusas pago 480 €, ¿cuánto vale la falda?

Answers

Answer:

El precio de la falda es 50 €.

Step-by-step explanation:

Lo que sabemos:

[tex] F = 5 + B [/tex]   (1)

En donde F es por falda y B por blusa.

Si compras 6 faldas y 4 blusas y pagas 480 €:

[tex] 6F + 4B = 480 [/tex]  (2)

Entonces, al introducir la ecuación (1) en (2) podemos hallar el precio de cada falda.

[tex] 6F + 4B = 480 [/tex]

[tex]6(5 + B) + 4B = 480[/tex]

[tex] 10B = 480 - 30 [/tex]

[tex]B = \frac{450}{10} = 45[/tex]  

Finalmente, el precio de la falda se puede encontar con la ecuación (1):

[tex]F = 5 + 45 = 50[/tex]

Por lo tanto, el precio de la falda es 50 €.  

Espero que te sea de utilidad!      

I will give brainlest please help

Answers

Answer:

The center of the circle would be (5,-8)

This is because you inverse the sign within the equation for the x/y coordinate part of it. Therefore, for this question:

(x-5)^2+(y+8)^2 = 121

The center would be (5,-8), since there is (x-5) and (y+8).

The radius of the circle would be 11

This is because within the equation for the circle, the finishing number is the radius squared. This means that if you square root this finishing number, you would get the radius. So with this question:

(x-5)^2+(y+8)^2 = 121

By doing √121, you would get 11 as the radius.

Last night Danielle had a birthday party. 1/3 of the birthday cake was leftover. She wanted to share the leftover birthday cake with 44 friends the next day. How much of the birthday cake would each get if they shared it equally?

Answers

Answer:

1/132

Step-by-step explanation:

1/3 ÷ 44 would be solved by multiplying 1/3 and 1/44 which is 1/132

PLS HELP ASAP BRAINLIEST!!!

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 5 gallons of gasoline to travel 130 miles. If the car travels 442 miles, how much gasoline does it need?

Answers

Answer:

17 gallons

Step-by-step explanation:

HELP ASAP!! Click the picture to make it bigger
:)
thanks

Answers

Answer:

the answer is C.

Step-by-step explanation:

Carry a book bag: Female is 57

can someone please help
question: An airplane is flying at an elevation of 1500 feet. What is the airplane's angle of elevation from the runway when it is 5000 feet from the runway?

Answers

Answer:

Angle of elevation of the airplane = 17.46 degrees

Step-by-step explanation:

From the picture attached,

An airplane is flying at an altitude of 1500 ft at point A.

Runway starts from point B from which distance of the airplane is 5000 ft.

Now we apply sine rule in the given triangle ABC to measure the angle θ.

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sinθ = [tex]\frac{AC}{AB}[/tex]

       = [tex]\frac{1500}{5000}[/tex]

[tex]\theta=\text{sin}^{-1}(\frac{3}{10})[/tex]

[tex]\theta=17.46[/tex] degrees

What is the area and perimeter?

Answers

Answer:

Perimeter: 26 units

Area: 24 units²

Step-by-step explanation:

12 + 9 + 5 = 26

A = 1/2BH

A = 1/2 12(4)

A = 1/2 48

A = 24

the permitter is 26 and the area is 24

the answer? wowisoososksks

Answers

Answer:

1/6

Hope that this helps!

4 Students is___% of 20 students.

Answers

Answer:

20%

Step-by-step explanation:

4 / 20 = 0.2 = 20%

Hope this helps :)

Answer:

4 Students is 20% of 20 students.

Step-by-step explanation:

[tex] \frac{4}{20} \times 100[/tex]

= 4 × 5 %

= 20%

find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0​

Answers

Given:

P(x) is a 2nd degree polynomial.

[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]

To find:

The polynomial P(x).

Solution:

If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).

We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).

So, the required polynomial is defined as:

[tex]P(x)=a(x-1)(x+3)[/tex]          ...(i)

Where, a is a constant.

We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get

[tex]3=a(2-1)(2+3)[/tex]

[tex]3=a(1)(5)[/tex]

[tex]3=5a[/tex]

[tex]\dfrac{3}{5}=a[/tex]

Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get

[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]

Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].

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