Imagine that you are doing an exhaustive study on the children in all of the daycares in your school district. You are particularly interested in how much time children spend in active play on weekends. You find that for this population of 2,431 children, the average number of minutes spent in active play on weekends is μ = 65.87, with a standard deviation of σ = 87.08. You select a random sample of 25 children of daycare age in this same school district. In this sample, you find that the average number of minutes the children spend in active play on weekends is M = 59.28, with a standard deviation of s = 95.79.

The difference between M and mu is due to the sampling error is ______.

Answers

Answer 1

Answer: The difference between M and mu is due to the sampling error is -6.59 .

Step-by-step explanation:

As per given:  

in population, the average number of minutes spent in active play on weekends is μ = 65.87

In sample, the average number of minutes the children spend in active play on weekends is M = 59.28

Now, the difference between M and μ is due to the sampling error is M- μ

= 59.28  - 65.87

= -6.59

So, the difference between M and mu is due to the sampling error is -6.59 .


Related Questions

Using the approximation 3.14 for pi​, what is the radius of a circle with circumference 69.1 ​m?

Answers

Answer:

11.0

Step-by-step explanation:

Circumfrence = 2 x pi x r.

making radius, r the subject of relation, you.get 11.003184713

Answer:

Hey!

Your answer is 11cm!

Step-by-step explanation:

So to get the radius from the Circumference we need both the Circumference and the value of pi...3.14

Radius = [tex]\frac{C}{2\pi }[/tex] ... (that's the formula)

WE SUBSTITUTE IN:

Radius = 69.1/2 x 3.14

69.1/6.28

This equals = 10.99760656765

BUT 11cm when you round it to the next whole number or 2sf

I HOPE THIS HELPED YOU!

Find the measure of the exterior angle.
64
76

Answers

Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.

How to find the exterior angles of a triangle?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The two remote interior angles are 76 degrees and 64 degrees.

Therefore,

76 + 64 = k

k = 140 degrees.

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An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground

Answers

Answer:

a) The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].

b) The height of the arch from the ground is 810 feet.

Step-by-step explanation:

Statement is incomplete. Complete statement is:

An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground.

Write an equation  that represents the arch.

What is the height from the top of the arch to the  ground?

a) Write an equation that represents the arch.

According to the statement, the archway is a vertical downward parabola. From Analytical Geometry we know that parabolas are represented by the following equation in standard form:

[tex]y-k = 4\cdot p\cdot (x-h)^{2}[/tex] (Eq. 1)

Where:

[tex]p[/tex] - Distance between vertex and focus, measured in feet.

[tex]x[/tex] - Independent variable, measured in feet.

[tex]y[/tex] - Dependent variable, measured in feet.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, measured in feet.

If we know that [tex]p = -2.5\,ft[/tex], [tex]h = 0\,ft[/tex] and [tex]k = 0\,ft[/tex], then the equation that represents the arch:

[tex]y = -10\cdot x^{2}[/tex]

The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].

b) What is the height from the top of the arch to the  ground?

Given that parabola is a symmetrical curve, we determine the vertical position at the base of the arch ([tex]x = 9\,ft[/tex]):

[tex]y_{min} = -10\cdot (9\,ft)^{2}[/tex]

[tex]y_{min} = -810\,ft[/tex]

Then, the height of the arch from the ground is given by this difference:

[tex]h = 0\,ft-(-810\,ft)[/tex]

[tex]h = 810\,ft[/tex]

The height of the arch from the ground is 810 feet.

Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Write an algebraic equation can be used to determine the number of DVDs in Daniel's collection. Use x as your variable.

Answers

Answer: 3x + x = 67To solve: 4x = 67                  /4.   /4x = 16.75

4x=67 is the  equation can be used to determine the number of DVDs in Daniel's collection.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Together, Matthew and Daniel have 67 DVDs.

M+D=67

Let x represents the number of DVDs

Matthew's collection has 3 times as many DVDs as Daniel's collection.

M=3D

Now M=D=x

As Matthew and Daniel have 67 DVDs.

3x+x=67

4x=67

Hence, 4x=67 is the  equation can be used to determine the number of DVDs in Daniel's collection.

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During a snowstorm, Eva tracked the amount on the ground. When the storm being, there was no snow on the ground. Snow feel at a constant rate of 3 inches per hour until 6 inches had fallen. The storm then stopped for 5 hours and then started again at a constant rate of 2 inches per hour for the next 2 hours. As soon as the storm stopped again the sun came out and melted the snow for the next 2 hours at a constant rate of 4 inches per hours

Answers

Answer:

2 inches of snow was left on the ground

Step-by-step explanation:

To calculate the amount of snow on the ground we can take it one step at a time. Since there was no snow on the ground we can start at a level of 0. Then it snowed until 6 inches of snow had fallen, so we can add that to our total.

0 + 6 = 6 inches

Next, it snowed for 2 more hours at a rate of 2 inches per hour, meaning we multiply this by 2 hours and add to the total amount of snow that was already on the ground.

(2*2) + 6 = 10 inches

Lastly, the sun came out and melted the snow on the ground for 2 hours at a rate of 4 inches per hour. Since it is melting the snow, this means that it is subtracting the snow from the total. So we would have to multiply the rate (4 inches per hour) by the number of hours and then subtract that from the amount of snow on the ground.

10 - (4*2) = 2 inches

Solve the proportion for n. 36/8 = n/4

Answers

Answer:

N = 18

Step-by-step explanation:

Answer:

18/4

Step-by-step explanation:

(-6x^2-x)-(-4x^2+10x-1)
will give brainlest and 20 points and please hurry

Answers

Answer -10x 2- 11x +1 (2 as a exponent) im not completely sure if its right but i tried

Step-by-step explanation:

4. Square ABCD is shown. What is the length of diagonal AC? Round to the nearest tenth, if necessary.

Answers

Answer:

hey! You have to use the trigonometric formula because it's a rectangle triangle:

(a^2)+(b^2)=(c^2)

(11^2)+(11^2)=(c^2)

√(242)=√(c^2)

15.56=c

So basically, the answer is D!

The square ABCD has equal sides, and the length of the diagonal AC is 15.6 centimeters

How to determine the length of the diagonal?

The side length of the square is given as:

l = 11 cm

The length of the diagonal is calculated using:

Diagonal = l * √2

This gives

Diagonal = 11 * √2

Evaluate

Diagonal = 15.6

Hence, the length of the diagonal AC is 15.6 centimeters

Read more about squares at:

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Solve:
2/3x +4 - 3/5 -2

Answers

Answer:

0.666667*​x+​4-​3/​5-​2

HOPE I HELP!!!! :)

i’m stuck please help

Answers

You divide 3 on both sides then you equation is the square root of -4x-4 =4 and you square the number on both sides because u need to do the same things on both sides and you get -4x-4=16 subtract by 4 on boyh sides to get -4x=20 and divide by -4 on both aises to get x=-5

I hope this helped i know this explanation is a bit wonky

Use the formula an = d (n − 1) + aj to write a formula for the arithmetic sequence below.
2, 6, 10, 14, 18,

Answers

Answer:

[tex]a_{n}[/tex] = 4n - 2

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 4 , thus

[tex]a_{n}[/tex] = 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2

Can someone help me with the equation please?

Answers

Answer:

6 shirts

Step-by-step explanation:

she spent 56 in total

56-20 for the pants

36 left and she bought 6 shirts

36 divided by 6

6

Farrah, Alice, and Pia each bought between 5 and 8 feet of yarn. Farrah bought 7 pieces of yarn. Alice bought 6 pieces of yarn. Pia bought 9 pieces of yarn. The lengths of yarn are given below.

Drag yarn to the box below each person's name to show what they could have bought.

Answers

Answer:

Farrah: 5 pieces of (3/4) blue yarn, 1 piece of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard

Alice:  3 pieces of (3/4) blue yarn, 2 pieces of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard

Pia: 9 pieces of (3/4) blue yarn

Explanation: Farrah: (0.75*5)+1 3/5+2.5 = 7.85 ft

Alice: (0.75*3)+(1 3/5*2)+2.5= 7.95 ft

Pia: 0.75*9 = 6.75 ft

Hope it helps :)

Have a good day/night

Brainliest pls?

Answer:

Step-by-step explanation:

Farrah

5 pieces of (3/4) blue yarn,

1 piece of (1 3/5) red yarn,

1 piece of (2 1/2) green yard

Alice

3 pieces of (3/4) blue yarn,

2 pieces of (1 3/5) red yarn

1 piece of (2 1/2) green yard

Pia

9 pieces of (3/4) blue yarn

What is the coefficient in the expression; 21 + 3x

Answers

the answer is 3, the coefficient is the number before the X

the sum of three consecutive odd integers is 57. what are the three integers

Answers

Answer:

17,19,21

Step-by-step explanation:

let the first odd number be "x"

formular : (x)+(x+2)+(x+4).

3x+6=57

3x=57-6

3x=51

x=51/3

x=17

apply the formular.

17,(17+2),(17+4)

17,19,21.

f(x) = 4x-1
g(x)=4- x
11) f(-4)=
12) For what value of x is g(x)=-4?
13) f(2)• g(2) =
14)
f(-3)

Answers

Step-by-step explanation:

11. f(-4)= 4x-1

11a. f(-4)= 4(-4)-1

11b. f(-4)= -16-1

11c. f(-4)=-17

12. For what value of x is g(x)=-4

12a. 4-? = -4

12b. 4-8= -4

12c. x = 8

13. (f(2)= 4x-1)×(g(2)= 4-x)

13a. (f(2)= 4(2)-1)×(g(2)= 4-(2)

13b. (f(2)= 8-1)×(g(2)= 4-2)

13c. (f(2)= 9)×(g(2)= 2)

13d. 18

14. f(-3)= 4x-1

14a. f(-3)= 4(-3)-1

14b. f(-3)= -12-1

14c. f(-3)= -13

what is the value of 6x (power of 2) when x=1.5

Answers

so you’d put 1.5 by the 6 so it’d be 6(1.5) to the power of 2. then you’d do 1.5*1.5=2.25*6=13.5
The correct answer would be 13.5

What is the slope of the line that passes through the point (8, - 4) and (6, 2) ? Write your answer in simplest form.

Answers

Answer:

y= -3x + 20

Step-by-step explanation:

just graph it out

explain how to convert decimal form into fractional form​

Answers

Answer:

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Step-by-step explanation:

Answer:

[tex]to \: convert \:0.2 \: to \: fraction \: \: you \\ \: insert \: 1 \: from \: the \\ \: decimal \: point \\ \: and \: then \: zeros \: according \: to \: the \: \\ number \: of \: values \: you \: have \: after \: \\ the \: decimal \: point \: \\ \frac{2}{10} = 0.2 \\ ok \: convert \: 0.052 \: to \: fraction \: you \\ \frac{52}{1000} = 0.052[/tex]

Please help. I do not understand and I have limited time to do so

Answers

Answer:

D would be the answer

Step-by-step explanation:

since you have a positive 12 at the end of your equation(thats your y intercept 0,12) then you can eliminate A, B. Next you would plug in (-3,0) in your equation and see if it would work and it did so thats your answer. ( i know thats not the formal way to do it but its a shortcut i like to use ;)

halp plz am really dumb my brain doesnt work today

Answers

Answer:

4

Step-by-step explanation:

Answer:

0.4

hope this is usefull to you

answer for these. this is not any kind of test.

Answers

Step-by-step explanation:

12) 42

13) 10.4

14)

a) 0.25

b) 0.39

15) 2.1

16) 35.7

17) 270£

tge answer for b the fraction id 7/18

264 equals the sum of 96 and t
Write the sentence as an equation.

Answers

Answer:

96+t=264

Step-by-step explanation:

ANSWER: t+96=264
No explanation needed!

2x-2y= 14 standard to slope and intercept form

Answers

2x - 2y = 14

-2y = 14-2x

y= -7 + x

y = x - 7

If multiple people answer i will mark the the first brainliest

Answers

Answer:

nice

Step-by-step explanation:

Amaya ran for president of chess club, and she received 18 by this. There were 30 members in the club. What percentage of the club members voted for Mýa HELP PLEASE

Answers

60%.
18/30 =3/5 =60/100 =60%

2. In the tournament, the Tigers scored 44,
56, and 47 points in the first three games.
If their four-game tournament average
score was 52 points, how much did they
score in their final game?
B. 55
C. 58
E. None of the above

Answers

Answer:

58

Step-by-step explanation:

Elizabeth her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?

Help me please

Answers

Answer:

29.11

Step-by-step explanation:

Stephen, Gavin and Jim share some sweets in the ratio 3:1:2. Stephen gets 24 sweets. How many sweets are there altogether?

Answers

Answer:

Step-by-step explanation:

Stephen : Gavin : Jim

3 : 1 : 2

We can say that this means the total amount of sweets get split between the 3 of them into 6 equal parts ( 3 + 1 + 2).

If Stephen gets 24 sweets, this means

3 parts = 24

So to find 1 part, divide 24 by 3.

1 part = 8 sweets

Now we can find the total by multiplying this by 6.

6 parts = 8 x 6 = 48 sweets.

What number goes in the box to show the
distributive property?
3(2 + 8) = 3 x 2 + X 8
6
2
B
8

Answers

Answer:

3 because 3 x 2 + 3 x 8 = 30 and 3(2+8)=30

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