The heights of five-year-olds are Normally distributed with a mean of 42.5 inches and a standard deviation of 2.5 inches. A random sample of 16 five-year-olds is taken and the mean height is recorded. What would be the standard deviation of the sampling distribution of all possible samples of size 16?

0.16
0.63
2.5
2.66

Answers

Answer 1

Answer:

0.63

Step-by-step explanation:


Related Questions

Un alumno multiplica un número por 32 en lugar de multiplicarlo por 23, obteniendo un producto mayor en 54 al producto original. Halla la suma de cifras del producto original

Answers

Answer:

La suma de cifras del producto original es igual a 12.

Step-by-step explanation:

De acuerdo a la información proporcionada, si multiplicas un número "x" por 32 su resultado sería igual al producto original "y" más 54 dado que dice que se obtiene un producto mayor en 54 al producto original, lo que se puede expresar de la siguiente forma:

32x=y+54

Además, se puede inferir a partir del enunciado que si el número x se hubiera multiplicado por 23 el resultado habría sido el producto original que lo denominamos como "y", por lo que puedes decir que:

y=23x

Ahora puedes reemplazar y=23x en 32x=y+54 y despejar x:

32x=23x+54

32x-23x=54

9x=54

x=54/9

x=6

Finalmente, puedes reemplazar el valor de x en y=23x:

y=23x

y=23*6

y=138

Suma de cifras: 1+3+8 = 12

De acuerdo a esto, la respuesta es que la suma de cifras es igual a 12.

3x + y + 2x + 2y – 3
Simplify Expressions by Combining Like Terms

Answers

5x +3y -3 you just add 2 and 5 for x and you can put a 1 in front of the single y so 1+2 is 3 for the y value and then you can just subtract the 3

if i made 80 dollars every weekend for a year, how much would i have​

Answers

Answer: You would have 4160$

Step-by-step explanation: there is 52 weeks in a year so 52 times 80

Answer: $4,160!!

The amount of money made multiplied by the amount of time

300% of what number is 75?.

Answers

Answer:

25

Step-by-step explanation:

Find the number by dividing 75 by 3, since 75 is the number tripled.

75/3

= 25

So, 300% of 25 is 75.

Answer:

25

Step-by-step explanation:

300% * x = 75

300/100 * x = 75

x = 75 * 100/300

x = 25

A number cube has 6 different faces, numbered 1 to 6. All faces have an equal probability of being rolled. What is the probability of rolling a 5?


please no links or weird pictures!

Answers

Answer:

its a 1/6 chance

Step-by-step explanation:

each face has a 1/6 chance of being rolled since there are 6 faces

Answer:

Answer:

40.2 % to the nearest tenth.

Step-by-step explanation:

Probability( 6 on one roll = 1/6).

Probability (6 on first roll and NOT 6 on the next 5 rolls) = 1/6 * (5/6)^6

= 3125/46656

= 0.06698

Only 1 six rolled can happen in  6 different ways ( where the 6 is on the second, third roll etc.)

So the required probability is 0.06698 * 6 = 0.40188.

Step-by-step explanation:

Found this

Three pairs of shoes and two pairs of socks cost $123, while three pairs of socks and two pairs of shoes cost $89.50. What does one pair of socks cost?

Answers

Answer:

$2 I think not sure if not sorry

can you please help me with this ASAP!!

Answers

firstly u can take the value of x=3 then put the value of x in equation..then u will get y = 0 so from this equation u get this(3,0)

then do same thing take value x = 6 and then u will get the value of y = -1 therefore u will get (6,-1)

Now plot these two points (3,0) and (6,-1) on graph..

Hope it helps u..!!

15 points need ASAP
Write and solve a proportion to answer the question.

Eric scored 94% on a science test. If the test was out of 50 points, how many points did he earn? Show work.


(Answers just for points will result in a report)

Answers

Answer:

What is 94 out of 200 as a percentage?

47

Percentage Calculator: 94 is what percent of 200? = 47.

Step-by-step explanation:

sorry if it is not correct :(

Please help, not hard Im just confused

Answers

Answer:

1

Step-by-step explanation:

f(x)=4x^2-9x-13 young quadratic formula!

Answers

Answer:

x=13/4 or -1

Step-by-step explanation:

factorize the fraction

(4x^2+4x)(-13x-13)

4x(x+1) -13(x+1)

(4x-13)(x+1)

x=13/4 or x=1

I guess

F(x)=400-4/5x find the function and intercepts

Answers

Answer:

The x-intercept is (500, 0);  the y-intercept is (0, 400).

Step-by-step explanation:

F(x)=400-4/5x is already a function:  a function of x.

To find the y-intercept, set x = 0 and calculate F(0):

    F(0) = 400 - 0 = 400; the y-intercept is (0, 400).

To find the x-intercept, set F(x) = y = 0 and solve for x:

     0 = F(x) = 400 - (4/5)x, or (4/5)x = 400.  To isolate x, multiply both

     sides by (5/4):  x = (5/4)(400) = 500.  The x-intercept is (500, 0).

The value of -4 5/8 - x is positive. What are two possible values of x?

Answers

Answer:

-6, -7

Step-by-step explanation:

basically

-4 5/8 - x >0

so

x< -4 5/8

you just need 2 values less than -4 5/8

like -6 and -7

The  possible values of x could be x = -20 or  x = -10 that satisfy the inequality.

Given: -4 5/8 - x > 0

To find two possible values of x that make the expression -4 5/8 - x positive, set up an equation and solve for x.

First, let's convert -4 5/8 to an improper fraction.

The improper fraction equivalent of -4 5/8 is -37/8.

So, -37/8 - x > 0

To isolate x, move -37/8 to the other side of the inequality by adding it to both sides:

x < -37/8

Now, Two possible values of x could be:

x = -20 or  x = -10

Both of these values are less than -37/8, so they satisfy the inequality and make the expression -4 5/8 - x positive.

Learn more about Inequality here:

https://brainly.com/question/20383699

#SPJ4

For which of the inequalities below is v = 4 a solution?
A v + 5 ≥ 9 B v + 5 ≤ 8
C v + 5 < 8 D v + 5 > 9

Answers

Step-by-step explanation:

You can use this app is call symbols and it's completely free.

Hope this helps

HELP ASAP PLEASE!
Write a rule for the sequence.
4, 8, 16, 32, ...

Start with 4, and multiply by 2 repeatedly.
Start with 4, and add 8 repeatedly.
Start with 4, and add 2 repeatedly.
Start with 2, and multiply by 4 repeatedly.

Answers

start with 4 and multiply by 2 repeatedly

In the morning, the number of ducks at the reservoir was 80. By noon, the reservoir had 135 ducks. What was the percent of change in the number of ducks? Round your answer to the nearest whole percent.

Answers

Answer:

60 percent

Step-by-step explanation:

number of ducks in morning=80

ducks in after noon=135

for percentage

80/135=0.5925=0.60

0.60*100=60 percent

To the nearest hundreth, what is the length of line segment AB?
1.) 2.45

2.) 2.16

3.) 7.75

4.) 8.25​

Answers

Answer:

option (4)

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(2, 2) and (x₂, y₂ ) = B(- 6, 4)

AB = [tex]\sqrt{(-6-2)^2+(4-2)^2}[/tex]

      = [tex]\sqrt{(-8)^2+2^2}[/tex]

      = [tex]\sqrt{64+4}[/tex]

      = [tex]\sqrt{68}[/tex]

       ≈ 8.25 ( to 2 dec. places )

The answer is BBB Bb

Manager Mark counted the number of innings each Shire Sharks pitcher pitched during the Soiltop Tournament. Calvin pitched 11 innings, Brody pitched 5 innings, Thom pitched 12 innings, Shawn pitched 7 innings, and Harley pitched 5 innings.
Find the mean absolute deviation (MAD) of the data set.

Answers

Answer:

Step-by-step explanation: 55

jane leaves her bicycle at 8:00 AM, traveling at an average speed of 15mph. her brother frank leaves home in his car at 10:30 AM, traveling the same route as Jane at an average speed of 40 mph. at what time will they meet? i will give brainliest

Answers

Answer: 11:00

Step-by-step explanation:

Answer: 11:00

Step-by-step explanation:

Maggie is buying party favors for her birthday party. She has $5.00 to spend. She can buy pencils for $0.50 each, rubber balls for $1.00 each, and yo-yos for $1.50 each. How many different combinations of these party favors can she buy with $5.00?

25pt

Answers

Maggie can buy 10 pencils, 5 rubber balls, and 3 yo-yos.

You just divide 5.00 but the price of each item to see how much you can buy without spending too much.

Please help me guys I need ur help

Answers

3.5 yr does this help?

what is the vertex of the graph?



A. (2,2)

B. (1,3)

C. (3,1)

D. (0,2)

Answers

Answer: B

Step-by-step explanation:

A company created a census to see the impact of pollution in its state. The company attempted to interview every resident of the state. The people it interviewed are an example of a _____.

A.) survey
B.) population
C.) sample
D.) census

Answers

Answer: B) population

Exclamation:
Answer b- okay lol good luck

I need help with both of these if you know any of them them helppp me pls will give 20 points

Answers

Answer:

1) B. similar

2) D. (4, 2)

Step-by-step explanation:

1)

When a figure is dilated, the shapes will be similar. Reflected is another transformation so that's wrong. Same size and congruent is wrong since that would have to make the dilated size equal which can't since it's contradicting.

2)

B: (4, -2)

Reflection across the x-axis:

(x, y) → (x, -y)

(4, -2) → (x, -y)

(4, 2)

Is 3x + 2y = 6 a function??
A. No, the equation is not a function; there is an x-value that produces two distinct y-values.
B. Yes, the equation is a function; the graph of the line passes the vertical line test.
C. Yes, the equation represents a function because there is both an x and a y.

Answers

Answer:

B :)

Step-by-step explanation:

Six friends attend a music concert and spend $27 per ticket. They each purchase a souvenir t-shirt. If the friends spend a total of $231, how much does each souvenir t-shirt cost

Answers

Answer:

11.50

Step-by-step explanation:

6x27=162

231+-162=69

69 divided by 6 is 11.5

11.5=11.50

11.50 is your answer

Answer:

$11.50.

Step-by-step explanation:

If there are 6 friends, and every ticket costs $27, then we need to multiply.

6 x 27 = 162.

Then, we subtract the cost of the tickets so we can find the total cost of the souvenir t-shirts.

231 - 162 = 69.

Since each of the 6 friends bought a souvenir t-shirt, we divide the total cost by the number of people.

[tex]\frac{69}{6}[/tex] = 11.5.

So, each t-shirt costs $11.50.

explain how to evaluate simplify and convert to radical form (x^3/8)^3/4

Answers

Answer:

[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]

Step-by-step explanation:

Given

[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]

Required

Convert to radical form

[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]

Evaluate the exponents

[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}[/tex]

[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}[/tex]

Split the exponent

[tex](x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}[/tex]

Apply the following law of indices

[tex](x^a)^\frac{1}{b} = \sqrt[b]{x^a}[/tex]

So, we have:

[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]

Mhanifa can you please help? I will mark brainliest!

Answers

Answer:

Property of kite used to solve this

Diagonals are perpendicularOne diagonal is an angle bisector (WY)

(20)

∠XYZ is double the ∠XYV∠XYV is complementary with ∠VXYm∠XYZ = 2(90° - 58°) = 64°

(21)

∠VZW is complementary with ∠VWZ and ∠VWZ is half of ∠ZWXm∠VZW = 90° - 50°/2 = 65°

(22)

∠ZWV is half of ∠ZWXm∠ZWV = 1/2*50° = 25°

(23)

m∠WZY = m∠VZW + m∠VZY = m∠VZW + m∠VXYm∠WZY = 65° + 58° = 123°

A cube has a surface area of 96 square inches. If 16 cubes are
combined to make a rectangular prism, what is the volume of the
rectangular prism?

Answers

Answer:

Step-by-step explanation:

A cube has 6 square faces with equal areas by definition. So a cube with a surface area of 96 units would have the surface area of each side be 96/6 = 16 square units.

Because each face of a cube is a square, it has 4 equal sides. This means that each side of the square is 16/4 = 4 units in length. Since each side of the square face is also an edge of the cube, and the way to calculate the volume of a cube is (length of an edge)^3, this means that the volume of the cube must be 4^3 = 64 cube units.

Volume of Cube = 64 cube units.

The volume of the rectangular prism formed by 16 cubes of each surface area of 96 square inches is 1024 inches³

Volume of a cube

volume of a cube = l³

where

l = side length

Therefore,

Surface area of a cube = 6l²

Hence,

96 = 6l²

l² = 96 / 6

l = √16

l  = 4 inches

Therefore,

volume of each cube = 4³ = 64 inches³

16 cubes forms the rectangular prsim. Therefore,

volume of rectangular prism = 16(64) = 1024 inches³

learn more on volume here: https://brainly.com/question/22992939

What is the sign of 37+(-37)

Answers

Answer:

0

Step-by-step explanation:

it is neither positive nor negative.

if it helps don't forget to like and mark me

AT HOME / STUDENTS
1. What are the two equations you created?
id to find 2. How did you put the equations into y=mx+b form?
3. Using your calculator, explain the steps that you did to find
the intersection point.
4. What is the answer?

Answers

Yeah I’m going home to get my hair
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