Let x stand for the number of calories in each individual snack. 25 snacks are sampled at a time. The population mean is 95 calories and the population standard deviation is 2.5 calories. What is the mean and standard deviation of the sampling distribution of sample means

Answers

Answer 1

Answer:

mean = 95, standard deviation of sampling distribution = 0.5

Step-by-step explanation:

sample space n = 25 snacks

mean = bar x = 95 calories

population standard deviation = 2.5 calories

the mean is already given as 95 calories

standard deviation of the sampling distribution = s.d/√n

= 2.5/√25

= 2.5/5

= 0.5

Therefore we have the mean = 95, and standard deviation of sampling distribution = 0.5


Related Questions

Choose the answer that best translate algebraic expression below.

2(x+5)

A) twice the sum of a number and 5
B) 2 times the difference of a number and 5
C) 5 more than twice a number
D) 5 less than 2 times a number

Answers

Answer:

A

Step-by-step explanation:

anything in parenthesis will be multiplied by the number on the outside only if it has no expression between that number and the parenthesis, therefore 2 will multiply X and 5

Put these numbers in order from least to greatest.
-60/64, -3, 65/80, 6/32

Answers

1.-3
2.-60/64
3.6/32
4.65/80
Hope this helps :)

Is 3(x+x+y) equivalent to 3x+3(x+y)

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Step 1: Distribute 1st equation

3x + 3x + 3y

Step 2: Combine like terms

6x + 3y

Step 3: Distribute 2nd equation

3x + 3x + 3y

Step 4: Combine like terms

6x + 3y

We see here that 6x + 3y = 6x + 3y. Therefore, they are equivalent.

From a batch in which 20 parts are without defects and 4 - with defects, 4 parts are taken at random. What is the probability that: 1) all 4 parts without defects 2) 3 without defects and 1 part with defects 3) at least 2 - with defects

Answers

Answer:

20+4=24=12=6=3

therefore the answer is three defect

What is the solution set for (x+3) = 5?

Answers

Answer:

x=2

Step-by-step explanation:

subtract 3 from both sides

5-3=2

x=2

Answer:

x=2

Step-by-step explanation:

Move all terms not containing  

x

to the right side of the equation.

Does anyone know how to do number 18????

Answers

Answer: angle ITU = 145 degrees

===============================================

Explanation:

Angle STU is the largest angle composed of the smaller angles STI and ITU.

In other words, the two smaller angles add up to the larger one.

(angle STI) + (angle ITU) = angle STU

( 20 ) + ( 12x+1 ) = 13x + 9

20+12x+1 = 13x+9

12x+21 = 13x+9

21-9 = 13x-12x

12 = x

x = 12

Using this x value, we find that,

angle ITU = 12x+1 = 12(12)+1 = 145 degrees

----------

As a side note,

angle STU = 13x+9 = 13(12)+9 = 165 degrees

This is confirmed with

(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU

Convert repeating decimal 9.81 to a fraction

Answers

Answer:

981/100

Step-by-step explanation

step: 9.81= 9.81/1

step 2 multiply both too and bottom by 10

9.81/1 = (9.81*100)/(1*100)= 981/100

thus 981/100 is also equal to 9 81/100

Two
pages
that face each other in a book have 343 as the sum of their page
numbers. What is the number of the page that comes first?

Answers

Answer:

171

Step-by-step explanation:

I divided 340 first and got 170 for each page number then I had 3 left over.

I added 1 to 170 and got 171 the I added the left over 2 to the other 170 and got 172.

So the first page number should be 171 :)

I hope this helped you understand :)

The number of page that comes first is 171.

It is given that in a book two pages that face each other have sum of 343 of their page numbers.

We have to find out what will be the number of page that comes first.

What will be the value of x , if x + (x + 2 ) = 18 ?

The value of x will be equal to ; 2x + 2 = 18 or 2x = 16 or x = 16 ÷ 2 or x = 8.

As per the question ,

In a book sum of two pages that face each other = 343

Let's assume that the page which comes first will be have page number x.

So,

x + (x + 1) = 343

2x + 1 = 343

2x = 342

x = 342 ÷ 2

x = 171

The other page will have number :

= x + 1

= 171 + 1

= 172

Thus , the number of page that comes first is 171.

                                                         

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Is 2 tens 3 tenths 1 thousandth greater than, less than, or equal to 20.31?

Answers

Answer:

less than

Step-by-step explanation:

2 tens = 20

3 tenths = .3

1 thousandth = .001

put it together = 20.301

20.301 < 20.31

less than

Joni sells kitchen aprons online for $32.50 each. How many aprons must she sell next month if she wants to earn at least $1,000?

Answers

Answer:

she must sell 31 aprons

The number of aprons Joni must she sell next month if she wants to earn at least $1,000 is 31.

In order to determine the number of aprons that Joni should sell in order to make at least $1000 next month, we would dived the total amount Joni hopes to make by the unit cost of an apron.

Number of aprons to sell = Amount Joni hopes to earn / unit cost of an apron.

$1000 / $32.50 = 30.77

Rounding off to the nearest whole number, the number of aprons that Joni should sell is 31.

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Which of the following equations is equivalent to S = pi r squared h? h = uppercase S minus pi r squared h = StartFraction uppercase S Over pi r squared EndFraction h = StartFraction pi r squared Over uppercase S EndFraction h = uppercase S + pi r squared

Answers

Answer:

h = S - pie r ^2

Step-by-step explanation:

A on edge

The equation equivalent to : S = pi r squared h is -

           h = StartFraction uppercase S over pi r squared EndFunction

We have - S = pi r squared h

We have to find which equation is same as S = pi r squared h

What is the volume of Cylinder of radius [tex]r[/tex] and height [tex]h[/tex]?

The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is -

                                                            [tex]\pi r^{2}h[/tex]

which is same as -

                                                     pi r squared h

when written in word format.

Let Suppose -

                                                         [tex]S=\pi r^{2} h[/tex]

which can be written in terms of height [tex]h[/tex] as -

                                                          [tex]h=\frac{S}{\pi r^{2} }[/tex]

Now, if we write the above equation in word format, we get -

          h = StartFraction uppercase S over pi r squared EndFunction

Therefore, the equation equivalent to pi r squared h is -

         h = StartFraction uppercase S over pi r squared EndFunction

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Betsy caught three fish. The weights of the fish were 3 lb 2 oz, 2 lb 11 oz, and 2 lb 8 oz. What was the total weight of the three fish?

Answers

Answer:

8 lbs 5 oz

Step-by-step explanation:

When you add 3 lbs, 2 lbs, and 2 lbs you get 7 lbs.

There are 16 oz in a lb. When you add the number of oz you get 21 oz which is the same as 1 lb and 5 oz.

you then add 7 lbs to 1 lb and 5 oz and get 8 lbs and 5 oz.

The coefficient in the expression -x - 10 is

Answers

Answer: I think the coefficient is -x

Step-by-step explanation:

A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or in other words, the number being multiplied with the variable. For example, the 4 in 4x.

The expression is -x-10. If we go back to the definition, the coefficient combined to the variable is -1.

A variable like the 'x' in this expression can also be written as 1x.

So the answer is -1.

Hope it helps!

What is the probability of the spinner stopping on an even number?

Answers

Answer:

D because thee are 5 even numbers

The probability of the spinner stopping on an even number will be equal to 5/10.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The total number on the spinner is 10

The total even number on the spinner is 5.

The probability of the spinner stopping on an even number = 5/10

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John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?

Answers

Answer:

2h30m

Step-by-step explanation:

Assuming they each do half, Julie would take 1 hour and John would take 1 hour 30 minutes, and combined would therefore be 2h30m.

Which accurately represents these building blocks of matter from the smallest to the largest? atom → molecule or compound molecule → atom → element compound → molecule → element molecule → atom or element

Answers

Answer:

Atom-Molecule or compound

Step-by-step explanation:

I know the answer to this because I went to a NASA space camp And I learned about this.

Answer:

a

Step-by-step explanation:

a

A number is multiplied by 5. If 1 is added to
the product, you get 6. What is the number?

Answers

Answer:

1

Step-by-step explanation:

The number is

1 x 5 = 5

5 + 1 = 6

Answer:

The number is 1

Step-by-step explanation:

5x + 1 = 6

6 minus 1 = 5

1 minus 1 = 0

5x = 5

x = 1  

hopefully this helps you :)

pls mark me brainlest ;)

50 points!!!! plz i need help!!! what is 3x^-4(8x+12x) simplified??

Answers

Answer:

60

x^3

Step-by-step explanation:

3x^-4 (8x + 12x)

apply exponential rule:

= 3 * 1/x^4 *(8x + 12x)

add similar elements

= 3 * 20 * (1/x^4) x

multiply fractions:

= 1 * 3 * 20x

        x^4

simplify:

= 60x

    x^4

finally = 60

             x^3

Collect like terms

3x^-4×(8x+12x)

Calculate

=3x^-4 * 20x

Solving Further

=60x^-3

Express with a positive exponent

=60 * 1/x^3

Solution

[tex] \frac{60}{ x {}^{3} } [/tex]

The art form created by using points is *​

Answers

Answer:

Pointillism

Step-by-step explanation:

Find cos A and B. Write each answer as a fraction

Answers

Answer:

cosA = 5/13

cosB = 12/13

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

cosA = 10/26

cosB = 24/26

Your favorite radio station is having a contest! The host poses a question to the listeners. If the caller answers correctly, he or she wins the prize money. If the caller answers incorrectly, $30 is added to the prize money and the next caller is eligible to win! The contest starts with a $100 prize for the first caller.



Part A: The first 4 callers have all missed the question. How much money is the 5th caller eligible to win? Show your work or explain your thinking.



Part B: You are the 12th caller to call in, and you win the prize! How much money will you win?

Answers

Answer:

A:150

B: 360 if all before are wrong

Answer:

A 150

Step-by-step explanation:

B- 360 if all before are wrong

plzzzzzzzzz helpppp meeeee ​

Answers

you’re right, it is 1 :)

Answer:

it will be 1 not -15 or -1 because thats in the left

Simplify the expression: 4(2 + 6j)

Answers

Answer:

[tex]8+24j[/tex]

Step-by-step explanation:

[tex]4(2+6j)[/tex]

Apply the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]

Thus,

[tex]4* \:2+4* \:6j[/tex]

[tex]8+24j[/tex]

Answer:

24j + 8

Step-by-step explanation:

multiply 2 and 6j with 4


Answer the question below. Type your response in the
space provided
AB is perpendicular to CO. How many 90° angles are formed by
the intersection?
Done
Clear

Answers

Answer:

4

Step-by-step explanation:

If you have 2 lines inter secting you have 4 corners. All these corners are congruent(they are the same). This means if one is 90 they all are 90.

I got this wrong I need help please

Answers

Answer: Choice A)

No, the piecewise graph is NOT a function because it does NOT pass the vertical line test.

The vertical line test is where we try to pass a line through more than one point on the curve. If it is not possible to do this, then the graph is said to "pass the vertical line test".

In this case, the given graph fails the vertical line test. Look at something like x = -2. We can draw a vertical line through here to pass through more than one point. One point is on the upside-down V shape, and the other point is on the parabolic shape. Plugging x = -2 into this leads to more than one y outputs.

A function is only possible if any valid x input (from the domain) leads to exactly one output y value (in the range).

Complete the sentence to make it a true statement. 60 is 1/100 of

Answers

Answer:

6000

Step-by-step explanation:

If it is one hundredth than multiply by 100 to get 6000

In the relationship below, the color of the circle changes according to the
height of the rectangle. Which expression below is the best choice to
describe this relationship in function notation?
A. H (c)
B. R (h)
C. C (h)

Answers

your answer would be C love!

On average, 8 potatoes cost $1.50 at
Peter's Produce Market. Fernando needs to buy
22 potatoes.
a. How much will it cost Fernando to buy 22 potatoes? How does this compare
to your estimate?
b. How many potatoes could Fernando buy with $7?
c. What is the unit cost per potato?

Answers

Answer:a) it will cost him $4.13 rounded

B)about 36

C)$ 0.19 (rounded) per potato

The Peters will cost to buy 22 potatoes is$4.13 , Fernando can buy 37 potatoes for $7 and the unit cost per potato is  $0.1875.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that

8 potatoes cost $1.50

8 potatoes ⇔ $1.50

1 potato ⇔ $(1.50/8)

a) →

22 potatoes will cost 22 ×  $(1.50/8) = $4.13

b) →

8 potatoes ⇔ $1.50

$1 ⇔ 5.33 photos

By multiply 7

$7 ⇔ 37.33

Si Fernando can buy 37 potatoes.

c) →

1 potato ⇔ $(1.50/8)

1 potato ⇔ $0.1875

Hence "The Peters will cost to buy 22 potatoes is $4.13, Fernando can buy 37 potatoes for $7 and the unit cost per potato is  $0.1875".

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Karlie ate lunch with her friends at Chuy's. They had a delicious meal that 20 cost $62. If the sales tax rate is 8.25% what is the amount of sales tax they had to pay? ROUND YOUR ANSWER * O $5.12 O $6.76 O $5.27 O $51.20​

Answers

Answer:

tax = 5.12

Step-by-step explanation:

given:

tax rate = 8.25 = 8.25/100 = .0825

meal cost = $62

find:

what is the amount of sales tax they had to pay

tax = $62 x 0.0825

tax = 5.12


-5 – 3x > 2(10 + 2x) + 3
Solve inequality

Answers

Answer: x < -4

ervrdbtyunbyjthdrggvghbdxfgchvj

Answer:

x>-4

Step-by-step explanation:

-5-3x>2(10+2x) +3

-5-3x>20+4x+3

-5-3x>4x+23

-5>7x+23

-28>7x

-4>x

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