The scores at a golf course recorded last year followed a normal distribution with mean 78 and
standard deviation 11. you choose an srs of 15 scores and calculate xbar = mean score. which of
the following are the mean and standard deviation of the sampling distribution of x bar?

Answers

Answer 1

Using the Central Limit Theorem, it is found that the mean of the sampling distribution is of 78 and the standard deviation is of 2.84.

What does the Central Limit Theorem state?

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, for the population, we have that [tex]\mu = 78, \sigma = 11[/tex].

Then, considering samples of n = 15, we have that the standard deviation is given by:

[tex]s = \frac{11}{\sqrt{15}} = 2.84[/tex].

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213


Related Questions

Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown below. Which statements are true?

Answers

It might have to be the amount he spent

A, B, C, D and E lie on the circle.
AB is extended to F.
Angle AED = 140° and angle CBF = 95º.
Find the values of w, x and y.

Answers

Step-by-step explanation:

it may hint for you by this you can go easily it change for me sorry

helppppppppppp!

do not send links.

Answers

Answer:

0.8-0.6=0.2 or 1/5, one fifth.

Step-by-step explanation:

hope this helps

In this lab, you observed how pollutants affected the ________


of water. You also modeled and observed how pollution affected freshwater sources, including surface water and the water in the _________

Answers

Answer: PH, ground

Step-by-step explanation: edge2022

In this lab, you observed how pollutants affected the" PH "of water. You also modeled and observed how pollution affected freshwater sources, including surface water and the water in the" ground "

What is water pollution?

Water pollution can be defined as the abnormal accumulation of strange elements in the water with harmful consequences to natural ecosystems.

Water pollution involves all the possible ways in which any water body can be contaminated with harmful elements.

The source of water pollution is human activities, producing the biggest damage to natural ecosystems.

Contaminating elements might be either gasses, solid material, or liquid material Such as Chemical elements, microbiota, heavy metals, and sediments affect all forms of life.

You can learn more about water pollution at

brainly.com/question/19920929

#SPJ2

Which of the following is involved in an informal argument for the formula for the circumference of a circle? (1 point)
Perimeter
Chord
Area
Circumference

Answers

The circumference of a circle is the same as the perimeter of the circle.

What is a circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The circumference of a circle is the same as the perimeter of the circle. It is given by:

Circumference = 2π × radius = π * diameter

Find out more on circle at: https://brainly.com/question/24375372

HELP ME WITH THIS . IF correct will get an brainliest
HURRRY

Answers

X = 1

Explanation :

when you multiply negative 2 by negative six you get twelve. when you multiply positive one by negative six you get negative six.

Answer: X = 1

Step-by-step explanation:

give other brainliest

Question 11 . 2 p Brent is considering buying a new circular track for his model train. He estimates that the model's circumference is about 3 times the measure of the circle's diameter. With this information, Brent could derive the value of OT O length O width area Previous Next > No new data to save. Last checked at 9:51am Submit​

Answers

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

What is a circle?

A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.

The circumference of a circle is given by:

Circumference = π * diameter

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

Find out more on circle at: https://brainly.com/question/24375372

The measure of an angle is 63.9. What is the measure of its supplementary angle?

Answers

Answer:

116.1

Step-by-step explanation:

supplementary-180

complimentary-90

180-63.9= 116.1

Find the greatest common factor of 27,45and9

Answers

Answer:

9

Step-by-step explanation:

GCF of 27 and 45 is 9.

Look at the image... I hope this image helps you.

Hello people ~
factorise: : x^2 – 21x + 108​

Answers

[tex]\\ \rm\rightarrowtail x^2-21x+108[/tex]

Use midterm splitation

[tex]\\ \rm\rightarrowtail x^2-12x-9x+108[/tex]

[tex]\\ \rm\rightarrowtail x(x-12)-9(x-12)[/tex]

[tex]\\ \rm\rightarrowtail (x-9)(x-12)[/tex]

Done!

Randall makes chilli for a cold winter night. To make 7 servings, he uses 12 1/4 cups of diced tomatoes. How many cups of diced tomatoes are needed to make one serving of chili? Answer in decimal form.

Answers

Answer:

1.25 cups of diced tomatoes

Step-by-step explanation:

1.  12 1/4 ÷ 7

2. = 49/4 x 1/7

3.  =49/28

4. =7/4

5. =1 1/4 or 1.25

I hope this was helpful

convert 15cm ^ 3 into m * m ^ 3​

Answers

Answer:

15 ×10^-6

Step-by-step explanation:

1 m = 100 cm

1m^3 = 100^3 cm^3

1m^3 = 1×10^6 cm^3

15 cm^3 = 15 / 1×10^6 = 15×10^-6 m^3

If PQRS is a square and TR = 17, find each missing value. Round to the nearest tenth.

Answers

[tex]\huge\mathfrak\pink{Answer}[/tex]The area of rhombus PQRS is 120 m.

Step-by-step explanation:

correct me if I'm wrong.

[tex]\huge\mathfrak\red{Hope it's help}[/tex]

Can someone help me with 9 and 10 i will give brainiest

Answers

Answer:

4y-3

Step-by-step explanation:

What's the slope and y-intercept of the equation 3x + 4y = 8? A) m = –3∕4; b = 2 B) m = –4; b = 3 C) m = 3∕4; b = –2 D) m = –3; b = –4

Answers

Answer:

A) m = –3∕4; b = 2

Step-by-step explanation:

The slope-intercept form is

y = mx + b, where m- slope, b- y-intercept

Convert the given equation into slope-intercept form

3x + 4y = 84y = - 3x + 8y = - 3/4x + 2

The slope is:

m = - 3/4

The y-intercept is:

b = 2

Correct choice is A

First isolate y

3x+4y=84y=-3x+8y=-3/4x+8/4y=-3/4x+2

Compare to slope intercept form y=mx+b

Slope=m=-3/4y intercept=b=2

Sketch the graph of y=x^2-4x+3

Answers

Answer:

see attached graph

Step-by-step explanation:

Given equation:  [tex]y=x^2-4x+3[/tex]

Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]

where [tex]c[/tex] is the y-intercept

If [tex]a > 0[/tex] then the parabola opens upwards.

If [tex]a < 0[/tex] then the parabola opens downwards.

Therefore, the y-intercept of the graph is (0, 3)

To find the x-intercepts, factor the equation:

       [tex]y=x^2-4x+3[/tex]

[tex]\implies y=x^2-x-3x+3[/tex]

[tex]\implies y=x(x-1)-3(x-1)[/tex]

[tex]\implies y=(x-3)(x-1)[/tex]

Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)

To determine the vertex, differentiate the equation:

[tex]\implies \dfrac{dy}{dx}=2x-4[/tex]

Set to zero and solve for x:

[tex]2x-4=0 \implies x=2[/tex]

Substitute [tex]x=2[/tex] into the original equation and solve for y:

[tex]\implies y=(2)^2-4(2)+3=-1[/tex]

Therefore, the vertex (or turning point) is at (2, -1)

Help
7. Add or subtract the following polynomials:
a. 5x2 + 3y3 - 4x2 =
b. y3 + 2y3 - 8 + 2 =
c. 9-3x - 4x + 2x - 12 =
d. -6t + 4+2 -16 + 7+ - 4+2 =

Answers

Answer:

a. [tex]x^{2} + 3y^{3}[/tex]

b. [tex]3y^{3} -6[/tex]

c. [tex]5x -3[/tex]

d. -6t - 5

Step-by-step explanation:

When a number has the same variable as another, you can add or subtract them

So for the first one, you can do

[tex]5x^{2} -4x^{2} = 1x^{2} = x^{2}[/tex]

(But don't forget the [tex]3y^{3}[/tex]!)

So it is:

[tex]x^{2} + 3y^{3}[/tex]

Continue this process for the rest of them

Rotate shape A 90° clockwise with centre of rotation (0,0).

What are the coordinates of the vertices of the image?

Answers

Answer:

(2,4)====(-4,2)

(4,3)===(-3,4)

(2,3)====(-3,2)

solve pls brainliest

Answers

Answer:72

Step-by-step explanation:6 x 12=72

Petra and jonhah are going on holiday to Poole
Petra buys 3 new shirts for her holiday
each shirt cost 9pound
how much does Petra pays in total





another one
Petra and Jonah has this information
home to the train station. 12 minutes
train to Poole 47 minutes
jonah says it will take less that 60 minutes in total to go from home to Poole.​

Answers

Answer:

question one

one shirt cost=9pound

3 shirts=3*9=27pound

Find the LCM for the group of expressions.
Y2+2y-24;y2-16;and 2y

Answers

Answer:

its here..........,,,

Order their calculations from greatest to least

Leon-------Mika-------Jason------Ashley

√17 - 2-----1 + π/2 -----12/5---------2.5

Answers

Answer:

  Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)

Step-by-step explanation:

Putting a mix of rational and irrational numbers into numerical order can be done by using approximations to them of sufficient precision to be able to tell them apart.

Here, we can make the following approximations:

  √17 -2 ≈ 2.12

  1 +π/2 ≈ 2.57

Of course, the decimal value of 12/5 is 2.40, so the numbers will be arranged in order if Mika moves to the right end:

  Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)

__

Your calculator can help with this.

which of the values shown are potential roots of f(x)=3x^3-13x^2-3x+45? Select all that apply

Answers

f(x)=3x³-13x²-3x+45f(x)=3x³-9x²-4x²+12x-15x+45f(x)=3x²(x-3)-4x(x-3)-15(x-3)f(x)=(x-3)(3x²-4x-15)f(x)=(x-3)(x-3)(3x+5)f(x)=(x-3)²(3x+5)

Roots:x=3x=-5/3

Answer: 3 and 5 (b and g)

Step-by-step explanation:

I got it correct on Edge

Please help me. I need the answer.

Answers

Answer:

Hello there! The answer is 3 seconds.

On a circle of radius 10 feet, what angle would subtend an arc of length 6 feet?

Answers

Answer:

34.38 (rounding to the nearest hundredth)

Step-by-step explanation:

I have my work linked below, but I used to arc length formula and plugged in all known numbers. Then solved for x which will be the angle you are looking for. Hope this helps!

On a circle of radius 10 feet,  34.37° angle would subtend an arc of length 6 feet.

How to find the length of an arc?

The length of an arc formula is represented as follows

The length of arc = Ф / 360 × 2πr

where

Ф = angle, r = radius

It is given that circle of a radius of 10 feet,

The length of arc = 6 ft

Therefore,

6 = Ф / 360 × 2 × 3.14159 × 10

6 = 62.8318Ф / 360

360 x 6 =  62.8318Ф

Ф = 360 x 6 / 62.8318

Ф = 34.3784

Ф ≈ 34.37°

Learn more about the length of the arc ;

https://brainly.com/question/2899332

#SPJ4

Does anyone know this? I'm stuck on it.

Answers

Answer:

For the first triangle:

Sides xz and xy are of equal length

Angles z and y are of equal measure

For the second triangle:

Sides pr and qr are of equal length

Angles p and q are of equal measure

Step-by-step explanation:

Those tiny line segments intersecting the sides indicate that those sides are equal.

Hope that helps!

Give an example of dimensions of a pyramid that would result in a volume of 36 cubic units. ​

Answers

Answer:

Step-by-step explanation:

Dimensions: 1 x 1 x 36 or 12 x 3 x 1 or 9 x 4 x 1 or 9 x 2 x 2

The dimensions of a pyramid are usually described in terms of its base and height. The base of a pyramid is the polygonal shape at the bottom of the pyramid, and the height is the perpendicular distance from the base to the apex.

How to find the dimensions of a pyramid?

To find the dimensions of a pyramid with a volume of 36 cubic units, we need to use the formula for the volume of a pyramid:

Volume of a pyramid = (1/3) x Base area x Height

Let's assume that the base of the pyramid is a square with sides of length "a". Therefore, the base area of the pyramid is a x a = a^2.

Now, we can substitute the given volume of 36 cubic units into the formula:

36 = (1/3) x a^2 x h

Multiplying both sides by 3 and dividing by a^2, we get:

h = 108/a^2

So, the height of the pyramid is equal to 108 divided by the square of the length of one side of the base.

We can choose any value for "a" and calculate the corresponding value of "h" that will result in a volume of 36 cubic units.

For example, if we choose "a" to be 3 units, we get:

h = 108/3^2 = 12 units

Therefore, the dimensions of the pyramid are:

Base: 3 units x 3 units

Height: 12 units

Checking the volume using the formula, we get:

Volume of the pyramid = (1/3) x 3^2 x 12

Volume of the pyramid = 36 cubic units

So, a pyramid with a base of 3 units by 3 units and a height of 12 units would have a volume of 36 cubic units.

Learn more about dimensions of pyramid here:

https://brainly.com/question/4330143

#SPJ2

What is the value of sin-1(1)? negative startfraction pi over 2 endfraction 0 startfraction pi over 2 endfraction π

Answers

The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

What is the value of sin (π/2)?

The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.

Suppose the value of this function is x. Thus,

[tex]x=\sin^{-1}(1)[/tex]

Solve it further,

[tex]\sin(x)=(1)[/tex]              ......1

The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,

[tex]\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1[/tex]

Put this value in the equation 1,

[tex]\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)[/tex]

Thus, the range will be,

[tex]\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)[/tex]

Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

Learn more about the sine values here;

https://brainly.com/question/10711389

Answer: C

Step-by-step explanation:

edge

Examine the following piecewise function.


A graph formed of straight line segments between the following points: (negative 8, 3), (negative 2, 8), (2, 8), (3, 0), and (7, negative 7).


© 2018 StrongMind. Created using GeoGebra.



Which statements are true?


Select all that apply.
1.The function is increasing over the interval 2≤x≤3

2.The function is increasing over the interval 2≤x≤3.

3.The function is increasing over the interval −8≤x≤−2.

4.The function is increasing over the interval −8≤x≤−2.

Answers

By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:

"The function is increasing over the interval −8≤x≤−2."

Which statements are true?

We know that our function is made of straight lines that connect:

Point (-8, 3) with (-2, 8)   {This is an increasing line}Point (-2, 8) with (2, 8)   {This is a horizontal line}Point (3, 0), and (7, -7)   {This is a decreasing line}

(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).

Then the statement that is true is:

3) "The function is increasing over the interval −8≤x≤−2."

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123

Can someone answere this please

Answers

Answer:

90

Step-by-step explanation:

Number of boxes can be filled

= (60 x 50 x 30) ÷ (10x10x10)

= 90

Answer:

90

Step-by-step explanation:

P = L×W×H

=60×50×30

P= 90,000

P= L×W×H

=10×10×10

P=1,000

90,000 ÷ 1,000 = 90

So, 90 pieces of terry in one cartoon

I think it's help

Other Questions
the figure shows a solid cube with dimensions 24 cm by 15 CM by 16 cm. A cylinder with a base radius of 4 cm and height of 7 cm is removed from the cuboid. find the area that will be covered in paint? (surface area) Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.If a third plane could be drawn which contains both lines a and b, thenlines a and b must be parallel.lines a and b cannot be parallel.lines a and b must be skew.lines a and b must be perpendicular. The table shows the speeds of the four fastest drivers in a car race.DriverSpeed (miles per hour)Marco224.362Finn224.136Will224.48Liz224.392Did Marco win this week's race? Use words and numbers to justify your answer.Answer:14 does anyone know any good witchcraft books to read? im a beginner!! 1. How many joules of heat are necessary to melt 500 g of ice at its freezing point?Please show work! Yo usar t auto porque las mo est en el taller.The time expression is not well used in the sentence.The possessive pronoun doesn't agree with the definite article.O The verb doesn't agree with the subject of the sentence.The subject does not agree with the complement. How do paragraphs 1 and 2 contribute to the overallstructure of Assignment Day"?aThey establish the challenging livingconditions that affect the characters' lives.b They introduce some historical backgroundinformation about a main character.e from greatthe middleish glowtened andetweenole might asThey build tension among characters that isresolved later in the passage.They hint at a significant decision that thecharacters must make.arrald Approximately % of the available energy is passed from organisms at one trophic level to organisms at the next trophic level. Chloe has a part-time job at an ice skating rink selling hot cocoa. She decided to plotthe number of hot cocoas she sold relative to the day's high temperature and thendraw the line of best fit. What does the line's y-intercept represent? a rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the length, in feet, of the mat.Then find the area, in square feet, of the mat. The increase in the number of states over the 1789-1999 era was mainly the result of A) national unification movements B) imperialism C) self-determination movements D) total warfare In Donnies poem the speaker explains the interconnectedness of all humankind. What does it mean for Elie in the night to be part of a collective identity? In what ways does Elies community in Sighet function as a collective? The languages of norway, sweden, denmark, and iceland are descended from what language? pls help ill give a hundred points. select the correct answer from the drop down menu A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5) Are my answers correct? What are Two methods of producing A.C Electricity ? what indigenous American became the Ghost Dance to bring the Savior to free the indigenous tribes from white Americans the relationship between clothing styles and developments in clothing creation The cylinder shown has a volume of 733 cubic inches.a. What is the radius of the cylinder? The radius of the cylinder is ?(Round to the nearest tenth if needed) (2x-7)-(4x^2+6x-3)+(x^2+4)