The height distribution of NBA players follows a normal distribution with a mean of 79 inches and standard deviation of 3.5 inches. What would be the sampling distribution of the mean height of a random sample of 16 NBA players?

Answers

Answer 1

Answer:

The probability will be "0.0111".

Step-by-step explanation:

The given values are:

Mean,

[tex]\mu[/tex] = 79

Standard deviation,

[tex]\sigma[/tex] = 3.5

Now,

⇒ [tex]\sigma\bar x = \frac{\sigma}{\sqrt n}[/tex]

         [tex]= \frac{3.5}{\sqrt 16}[/tex]

         [tex]=0.875[/tex]

⇒ [tex]P(\bar x > 81) = 1 - P(\bar x < 81)[/tex]

So,

= [tex]1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ][/tex]

= [tex]1 - P(z < 2.2857)[/tex]

= [tex]0.0111[/tex]


Related Questions

Which of the expressions are equivalent to the one below? Check all that
apply.
16. (1 + 3)
A. (16. 1) + (3.16)
B. (3 + 1). 16
D C. (16 + 3). 1
D. (161) + (163)

Answers

ok so 16.(1+3) = 16 . 4 = 64 so let's solve them A = (16 . 1) + (3 . 16) .. here it's right because we split the 6 on each number ... if you want a prove solve it (16 . 1 ) + (3 . 16 ) = 64 B = (3+1) . 16 = 4 . 16 = 64C = (16 +3) . 1 = 19 . 1 = 19 D = 161 + 163 = 324

so A & B = 64 .... so yeah right A & B are the correct answers

by the way i multiplied for the "."

what would be the value of m?

Answers

Answer:

126°

Step-by-step explanation:

First you need to find the 3rd inside angle.

72+54+x=180

126+x=180

x=54

Once you have the 3rd inner angle, you can take 180 and subtract it from it so you would have 180-54 which is 126

Solve the given system of equations utilizing either the substitution or addition method.

Answers

Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

[tex]5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}[/tex]

Solving using substitution method:

Let:

[tex]5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)[/tex]

Find value of x from eq(1) and put in eq(2)

[tex]5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}[/tex]

Put value of x in eq(2)

[tex]\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}[/tex]

Now, finding value of x by putting value of y in eq(1)

[tex]x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4[/tex]

So, Value of x=4 and y=-13/3

Answer this question please and i will give brainliest

Answers

Answer:

false the answer is false

Step-by-step explanation:

Lilly was shopping and saw the following prices on different packages of the same item

Answers

Answer:

What's the question?

Step-by-step explanation:

Classify the sentences based on whether they describe an investing mistake or a good investment decision.

Answers

Answer:

What sentences?

Step-by-step explanation:

Can you please add a picture, a sentence(s), an article, or any source so we can actually answer them for you??????

Answer:

Investing mistake :

Silvia successfully avoids investing

in unfamiliar foreign companies.

Ryan invests only in the stock of

companies he has complete faith in.

Martha decides to hold her

investments despite their poor

market performance over

three years.

Good investment decision:

Sanjay invests in companies in

a variety of industries.

Ricardo starts investing in index

funds with the aim of building

his wealth steadily over time.

Sabina invests small amounts in

stocks, bonds, and real estate.

Step-by-step explanation:

Got it right in edmuntum :)

is this how its spelled: queue
i mean like for example "queue the music" but idk if thats how you spell queue

Answers

Answer: You're right

Step-by-step explanation:

Whoever answers this first gets brainliest
Pls help ASAP

Answers

Answer:

Terminating goes to 3

Repeating goes to 4

Rational goes to 1

Irrational goes to  2

Answer:

1. Rational Number

2. Irrational Number

3. Terminating Decimal

4. Repeating Decimal

Step-by-step explanation:

A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).  

I would like to apologize in advance if any of these were incorrect.

don't know what I was thinking
Leaving my child behind
Now I suffer the curse
Knowing now I am blind
With all this anger, guilt and sadness
Coming to haunt me forever
I can't wait for the cliff at the end of the river
Is this revenge I am seeking
Or seeking someone to avenge me
Stuck in my own paradox
I wanna set myself free
Maybe I should chase and find
Before they'll try to stop it
It won't be long before I'll become a puppet
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother
I wish I lived in the present
With the gift of my past mistakes
But the future keeps luring in like a pack of snakes
Your sweet little eyes
Your little smile, is all I remember
Those fuzzy memories mess with my temper
Justification is killing me
But killing isn't justified
What happened to my son, I'm terrified
It lingers in my mind
And the thought keeps on getting bigger
I'm sorry my sweet baby
I wish I've been there
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother

Answers

I love that song lol

It’s been in my head forever now
          (っ◔◡◔)っ ♥ Hey Honey Here!♥answer♥

bro this is so sad....

                            ♥  お力になれて、嬉しいです

Please help, this chapter was on derivatives...

Answers

Answer:  ds/dt = 11

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

Work Shown:

Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)

s^2 = x^2+y^2

s^2 = 15^2+20^2

s^2 = 225+400

s^2 = 625

s = sqrt(625)

s = 25

-----------

Now we can apply the derivative to both sides to get the following.  Don't forget to use the chain rule.

s^2 = x^2 + y^2

d/dt[s^2] = d/dt[x^2 + y^2]

d/dt[s^2] = d/dt[x^2] + d/dt[y^2]

2s*ds/dt = 2x*dx/dt + 2y*dy/dt

2(25)*ds/dt = 2(15)*5 + 2(20)*(10)

50*ds/dt = 150 + 400

50*ds/dt = 550

ds/dt = 550/50

ds/dt = 11

-----------

Side note: The information t = 40 is never used. It's just extra info.

(GIVING BRAINLIEST AND EXTRA POINTS!!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK.

6/10 - 1/5 + 1/4

Answers

Answer:0.65

Step-by-step explanation:

Firstly, we convert the fractions into decimals:

6/10=0.6

1/5=0.2

1/4=0.25

We then get :  0.6 - 0.2 + 0.25

0.6-0.2=0.4

0.4+0.25=0.65

5x-3(x-2)-x

Helppppp I just need you to simplify and show your work plz =)

Answers

The answer would be: x+6

5x-3(x-2)-x

5x-3x + 6-x

x+6

Answer:

x+6

Step-by-step explanation:

5x-3(x-2)-x

5x-3x+6-x

x+6

There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?

Answers

Answer:

THe answere is 40

Step-by-step explanation:

If 24 brownies are sold, the number of ice cream cones sold is 40.

A linear equation is in the form:

y = mx + b;

where y, x is variable, m is the rate of change and b is the y intercept.

Let y represent the number of ice cream cones and x represent the number of brownies sold.

Since there were 5 ice cream cones for every 3 brownies sold at the ice cream shop. Hence:

y = (5/3)x

If 24 brownies are sold:

y = (5/3)x

y = (5/3) * 24 = 40

If 24 brownies are sold, the number of ice cream cones sold is 40.

Find out more at: https://brainly.com/question/13911928

The store buys easels for 10.20 each he marks up the cost by 75% to get the selling price what is the selling price of each easel? show your work

Answers

$17.85 per easel , $10.20 with a 75% markup causes for $7.65 to be added to original purchase price

Help me please thanks :)

Answers

Answer:

I think its Distributive Property

Step-by-step explanation:

Hope this helped

Ezra has 21 chickens in a pen. He plans on adding 3 chickens every month to the pen. Based on this information, which representation shows this relationship between the number of chickens in the pen, y, and the number of months that have passed, x?

Answers

Answer:

Linear graph

y = 3x + 21

Step-by-step explanation:

5.
Write an algebraic expression for the verbal expression "five times a number minus eight.”
A 5x + 8
B 8x - 5
C 5x - 8
D 5 + X - 8

Answers

The answer is C. . . . . . . . . . . . .

Evaluate the Expression: 8r - 4w - 9 when r = 7 and w = 4

Answers

Answer:

= 31

Step-by-step explanation:

So first plug in the numbers 8(7) - 4(4) - 16

then solve

56 - 16 - 9 = 31

Answer:

31

Step-by-step explanation:

8r - 4w - 9 when r = 7 and w = 4.

~Substitute

8(7) - 4(4) - 9

~Simplify

56 - 16 - 9

~Subtract

40 - 9

~Subtract

31

Best of Luck!

Can someone help me please

Answers

Answer:  56 degrees

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

Work Shown:

For any triangle, the three interior angles always add to 180

(4x-12) + (6x-17) + (2x+5) = 180

(4x+6x+2x) + (-12-17+5) = 180

12x - 24 = 180

12x = 180+24 ..... adding 24 to both sides

12x = 204

x = 204/12 ..... dividing both sides by 12

x = 17

We can use this x value to find the three angles

4x-12 = 4*17-12 = 56

6x-17 = 6*17-17 = 85

2x+5 = 2*17+5 = 39

As a check,

56+85+39 = 180

which confirms we have the right x value.

We see that 56 is the middle angle, so this is the second largest angle.

there are 4 circles and 16 squares. What is the simplest ratio of circles to total shapes?

Answers

Answer=4:20 I think that’s the answer

the value of the expression when t-32 degrees is what degrees

Answers

Complete Question:

The temperature doubled.  Evaluate when t = 32 degrees.

The value of the expression when t = 32 degrees is  degrees

Answer:

64 degrees

Step-by-step explanation:

Given

[tex]t = 32[/tex]

Required

Determine the value of t when it doubles

To do this, we simply multiply the current temperature by 2.

So:

[tex]t = 32[/tex] becomes

[tex]t = 32 * 2[/tex]

[tex]t = 64[/tex]

Hence, the temperature when it doubles is 64 degrees

Which statement is true regarding the functions on the
graph?

° f(2) = g(2)
° f(0) = g(0)
° f(2)= g(0)
° f(0) = g(2)


Answers

Answer:

f(2) = g(2)

General Formulas and Concepts:

Alg I

Reading a Cartesian PlaneIdentifying CoordinatesSolutions of systems of equations

Step-by-step explanation:

We see from the graph that f(x) and g(x) intersect at x = 2. Therefore, the point at x = 2 would be equivalent in both graphs/be a solution to both equations.

Therefore, f(2) must equal g(2), as they intersect each other at that point and have the same value of 0.

Answer: A f(2) = g(2)

Step-by-step explanation: look at the picture

Follow the steps to finish solving the equation -3x+ 18=7x

1. Add 3x to both sides to isolate the variable term

2.Divide both sides by 10

PLEASE HELP WILL GIVE BRAINLYEST AND 20 POINTS

Answers

Answer:

9/5=x

Step-by-step explanation:

-3x+ 18=7x

-3x+3x+ 18=7x +3x

18=10x

18/10=10x/10

9/5=x

Answer:

Step-by-step explanation:

- 3x + 18 = 7x

- 3x + 3x + 18 = 7x + 3x ⇔ 18 = 10x

[tex]\frac{18}{10}[/tex] = [tex]\frac{10x}{10}[/tex] ⇔ 1.8 = x

x = 1.8

Someone please help with letter B

Answers

Answer:

No because the coefficiant is different for each pair of mothers and daughters

Step-by-step explanation:

When x is 4, y is 12. If y varies directly as x, which equation relates x and y?

Answers

Answer:

12/4

Step-by-step explanation:

y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x

so in this case, it would be 12 divided by 4 resembling that y varies directly as x

How many 1 6 cup servings are in 3 4 cups of popcorn? (in simplest fraction form)

Answers

Answer: 8/17

Step-by-step explanation: 16 ÷ 34 = 8/17

Hope this helps ^_^

please help me im so lost​

Answers

Answer:

5x + 1

Step-by-step explanation:

f(x) = 3x + 2

g(x) = - 2x + 1

f(x) - g(x) = 3x + 2 - ( - 2x + 1 ) = 3x + 2 + 2x - 1 = 5x + 1

3x -5y + 2z = -53
x - 7y - 4z = -37
5x+9y+2x = 57

Answers

Answer:

answer is 57

Step-by-step explanation:

3x-5y sshsbwisiehdducux sh

oredr -3/4, 3/8, -1 1/8, - 1/2 from least to greatest.​

Answers

Answer: -1 1/8 -3/4 -1/2 3/8

HELP ME PLEASEEEE!!
High School is selling Valentine's Day gifts as a fundraising event. One long stemmed rose costs $3.00 while one long stemmed carnation costs $1.50. If 50 orders were placed and they totaled $195, how many roses and carnations were ordered?

Answers

Answer:

11 roses and 12 carnations

Step-by-step explanation:

(11*3)+(1.50*3)=195

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