Suppose that the middle 95% of average scores in the NBA per player per game fall between 8.18 and 31.34. Give an approximate estimate of the standard deviation of the number of the points scored. Assume the points scored has a normal distribution.

Answers

Answer 1

Answer:

An approximate estimate of the standard deviation of the number of the points scored per game is of 5.79.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Suppose that the middle 95% of average scores in the NBA per player per game fall between 8.18 and 31.34.

This means that there is 4 standard deviations within this interval. So

[tex]4s = 31.34 - 8.18[/tex]

[tex]4s = 23.16[/tex]

[tex]s = \frac{23.16}{4}[/tex]

[tex]s = 5.79[/tex]

An approximate estimate of the standard deviation of the number of the points scored per game is of 5.79.


Related Questions

WILL GIVE BRAINLIEST!!!!!!! A boy had 20 cents. He bought x pencils for 3 cents each. If y equals the number of pennies left, write an equation showing the dependence of y on x. What is the domain of the function?But it says that x is a whole number for the domain. PLS HELP.

Answers

Answer:

Hey there!!

The total number of cents - 20

Cost for each pencil - 3 cents

Number of pencils bought - ' x '

y = number of pennies left

What is the domain ?

Show how y is dependent on x ..

Let's get this into an equation :

... The total cost for x pencils bought = 3x

... Number of pennies left = 20 - 3x

... y = number of pennies left

... y = 20 - 3x

Notice : If the x value changes, the y value changes too

... If x = 1 , then , y = 17; If x = 2 , then , y = 14

Hence, we could say y is dependent upon x

Domain = ?

... Remember - The total number of pennies = 20 ; hence, the total cost cannot go above 20 cents.

Hence, we will have to work with inequalities

The equation :

... 20 ≥ 3x

Divide 3 on both sides

20 / 3 ≥ x

x ≥ 6.667

Let's take this as 6

Hence , the domain will be :

D : { 1 , 2 , 3 , 4 , 5 , 6 }

Hope my answer helps!

Find the least whole number that can replace
to make the statement true.
110< =47

Answers

Answer:

it is false

Step-by-step explanation:i cant explain but trust

A superhero can fly from New York to Los Angeles in 30 minutes. The distance from New York to Los Angeles is approximately 2,450 miles.

How many miles per hour is the superhero flying?

Answers

Answer:  4900 mph

Work Shown:

30 min = 30/60 = 0.5 hours

distance = rate*time

rate = distance/time

rate = (2450 miles)/(0.5 hours)

rate = (2450/0.5) mph

rate = 4900 mph

For the sake of comparison, a typical commercial passenger jet can reach max speeds of about 600 mph.

Choose all the numbers that are multiples of 2.
A 18
B. 21
C. 34
D. 45
E 50
F. 67
G. 83

Answers

Answer:

18 , 34and 50 are multiples of 2

Step-by-step explanation:

2×9=18

17×2=34

25×2=50

Answer:

A,C,E

Step-by-step explanation:

A,9×2=18

C,17×2=34

E,25×2=50

find an odd natural number x such that LCM (x,40)= 1400

Answers

The odd natural number x such that the LCM of x and 40 is 1400 is 35

Lowest Common Multiple

The least common multiple the lowest multiple of two or more numbers.

From the question, we need to determine the value of x of the LCM of the numbers is 1400

LCM (x,40) = 1400

Find a possible value of x

x = 1400/40

x = 35

Hence the odd natural number x such that the LCM of x and 40 is 1400 is 35

Learn more on LCM here: https://brainly.com/question/233244

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If g(x) = x^2 + 8x - 24 find the value of g(6)

Answers

Answer:

hope it helps you..........

Answer:

60

Step-by-step explanation:

g(x)= x^2 +8x - 24

Substitute x for 6 in the equation

g(6)= 6^2 + 8(6) - 24

= 36+48-24

= 60

[63-(-3) (-2-8-3}] = 3{5+(-2) (-1)}​

Answers

63-(-3)(-2-8-3) = 3(5+(-2)(-1))

63-(6+24+9) = 3(5+(2))

63-(39) = 3(7)

24 ≠ 21

Answered by Gauthmath must click thanks and mark brainliest

In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rate of change. Define a function f to determine the value of your car (in dollars) in terms of the number of years t since 2012.

Answers

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

[tex]f(t) = 10000(0.9407)^t[/tex]

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

[tex]f(t) = f(0)(1-r)^t[/tex]

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that [tex]f(0) = 10000[/tex], thus:

[tex]f(t) = 10000(1-r)^t[/tex]

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

[tex]f(2) = 8850[/tex]

We use this to find 1 - r.

[tex]f(t) = 10000(1-r)^t[/tex]

[tex]8850 = 10000(1-r)^2[/tex]

[tex](1-r)^2 = \frac{8850}{10000}[/tex]

[tex](1-r)^2 = 0.885[/tex]

[tex]\sqrt{(1-r)^2} = \sqrt{0.885}[/tex]

[tex]1 - r = 0.9407[/tex]

Thus

[tex]f(t) = 10000(1-r)^t[/tex]

[tex]f(t) = 10000(0.9407)^t[/tex]

Solve the following system of equations using the elimination method.
5x - 5y = 10
6x - 4y= 4
A) (-3,5)
B) (2-7)
C) (-1,-5)
D) (-2,-4)

Answers

Answer:

D. (-2,-4)

Step-by-step explanation:

When given multi-choice questions like these and you're time bound, substitute the provided answers into the question and see if you'll get the figure beside the '='.

So, using D answers as example 1.

let -2 be x and -4 be y

Substitute these answers into the question.

5(-2)-5(-4)=10

-10+20=10 (+20 because when 2 negative values multiply each other, the operator becomes positive and so is the answer)

10=10

This means the answers provided for D(-2,-4) is the right answer.

PS: Please use or adopt this strategy to solve such questions ONLY when you've been provided with multiple answers to choose from. Plus, it also helps save time.

Thanks

If a=120° , find the measure of angles b, c and d.
Explain your reasoning.

Answers

Answer:

b=120°

c=60°

d=60°

SEE THE IMAGE FOR SOLUTION

Study the scatterplot and trend line. Which two points can be used to find the equation of the trend line?

Which points are on the trend line?
(1, 30) and (9, 95)
(2, 30) and (6, 70)
(2, 45) and (8, 90)
(3, 50) and (7, 65)

Answers

Answer:

C

Step-by-step explanation:

Just trust

Answer:

C

Step-by-step explanation:

I did the assignment in edge and got it right.

Proof:

dùng tiền gửi ngân hàng trả tiền cho người bán 100.000.000

Answers

Answer:

Sorry, i dont know

Step-by-step explanation:

I dont know the answer to this question.....

need help asap
what is the value of f(3) in the function below​

Answers

Answer:

Step-by-step explanation:

The given function is  :  

Here , x= independent variable where we place the input value and f(x) = dependent variable where we get the output value.

Now , when we put x= 3 , we get

That means , the value of f(3) in the given function is 8.

Hence, the correct answer is B=8.

Given that x= 3, all u need to do is plug in 3 in place of x. So that would give us 2 to the power 3 or
2*2*2=8
8 is the answer

To mix weed killer with water correctly, it is necessary to mix 18 teaspoons of weed killer with 3 gallons of water. How many gallons of water are needed to mix with the entire box if it contains 24 teaspoons of weed killer

Answers

We know that you need 18 teaspoons of weed killer and 3 gallons of water. We can represent this as a fraction as 18/3. We can simplify this fraction. 18/3 simplified is 6/1. Next, we can multiply the numerator and denominator by 4. (6*4 is 24.) This gives us 24/4. This means that for 24 teaspoons of weed killer, we need 4 gallons of water.

let a function F:A➡️B be defined by f(x)=x+1÷2x-1 with A={-1,0,1,2,3,4} and B= {-1,0,4/5,5/7,1,2,3,}.Find the range of f. plzzzz help​

Answers

Answer:

Range: {-1, 0, 5/7, 4/5, 1, 2}

Step-by-step explanation:

We know that:

f(x) = (x + 1)/(2x - 1)

And:

f: A ⇒ B

where:

A={-1,0,1,2,3,4}

B= {-1,0,4/5,5/7,1,2,3,}

We want to find the range of f(x).

The range of f(x) will be the set of the outputs of f(x) (and because f goes from A to B, we will only take the outputs that belong to B).

Then we only need to evaluate all the values of A in f(x), and see if the output belongs to B.

we have:

f(x) = (x + 1)/(2x - 1)

f(-1) = (-1 + 1)/(2*-1 - 1) = 0   (this does belong to B)

f(0) = (0 + 1)/(2*0 - 1) = -1  (this does belong to B)

f(1) = (1 + 1)/(2*1 - 1) = 2  (this does belong to B)

f(2) = (2 + 1)/(2*2 - 1) = 1 (this does belong to B)

f(3) = (3 + 1)/(2*3 - 1) = 4/5  (this does belong to B)

f(4) = (4 + 1)/(2*4 - 1) = 5/7  (this does belong to B)

So the range of f(x) is the set with all these outputs, which is:

Range: {-1, 0, 5/7, 4/5, 1, 2}

What is the measure of ∠x?
Angles are not necessarily drawn to scale.

∠x= ____∘

Please help me!

Answers

Answer:

hey mate ...

105 + JID = 180 ( STRAIGHT LINE )

JID = 75

NOW APPLY ANGLE SUM IN TRIANGLE JID

75 + 39 + IJD = 180

IJD = 66

x = IJD by vertically opposite angles

x = 66

A ladder 10m long is set against a vertical wall, Calculate the height of the wall where the ladder reached a foot of the ladder is 6m away from the wall.

Answers

Answer:

8m

Step-by-step explanation:

The acute angle of the right angle triangle are in the ratio of 4:5​

Answers

Answer:

Since the triangle is a right angled triangle, one of the angles is 90°. In the right angled triangle, the acute angles are in the ratio 4:5. Let the measures of the acute angles of the triangle in degrees be 4k and 5k, where k is a constant.

Step-by-step explanation:

hope it helps.

Answer:

40and50

Step-by-step explanation:

let the acute angles be 4x and 5x then,

4x+5x+90=180 [sum of all angles of a right angled triangle]

or,9x=180-90

or,x=90/9

x=10

4x=4×10=40

5x=5×10=50

Find the sum of -3x^2-4x+3 2x^2+3

Answers

The answer is -x^2-4x+6

A parallelogram is made up of a rectangle with a base of 12 centimeters (cm) and a height of 5 cm, and two triangles, each with a base of 2 cm and height of 5 cm. Jeremy calculates the area of the parallelogram by multiplying the base and height of the rectangle to get 60 cm2.
Is Jeremy's answer correct? Why or why not?

Select the option that correctly answers both questions.

No, he forgot to multiply by 12 when calculating the area of the rectangle.

Yes, he correctly calculated the area of the parallelogram as b⋅h.

No, he forgot to add the area of the triangles to the area of the rectangle.

Yes, he correctly calculated the area of the parallelogram as 12bh.

Answers

No, he forgot to add the area of the triangles to the area of the rectangle.

It is said that Jeremy thought he solved for the area of the whole parallelogram correctly by multiplying the base and height of the rectangle, which is just a part of the whole parallelogram.

Jeremy’s answer is incomplete, he only calculated the area of the triangle as the answer.

This is because one way of finding an area of a parallelogram is dividing the shape into a rectangle with a triangle on each side.

The real area of the parallelogram is 70 cm^2
(with areas of each triangles added)

With that being said, the formula of a parallelogram that is said is:
A = bh
Which means a height perpendicular to the base of the whole paralleogram.

Simplify the following expression by using these values:
m = −6; n = 2; p = 4
[tex]-3m^{2}[/tex]+4n-p

Answers

Hi there!

Given the expression below:-

[tex] \large{ - 3 {m}^{2} + 4n - p}[/tex]

We are also given these three values below:

m = -6n = 2p = 4

Simply substitute these values in:-

[tex] \large{ - 3 {( - 6)}^{2} + 4(2) - 4}[/tex]

Any negative numbers squared would result in positive.

[tex] \large{ - 3(36) + 8 - 4} \\ \large{ - 108 + 4} \\ \large \boxed{ - 104}[/tex]

Hence, the answer is -104 when substituting values in the expression.

Let me know if you have any questions!

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{-3m}\mathsf{^2}\large\textsf{ + 4n - p}\\\large\textsf{= -3(-6)}\mathsf{^2}\large\textsf{ + 4(2) - 4}\\\\\large\textsf{(-6)}^2\\\large\textsf{= (-6)(-6)}\\\large\textsf{= \bf 36}\\\\\large\textsf{= -3(36) + 4(2) - 4}\\\\\large\text{-3(36)}\\\large\textsf{= \bf -108}\\\\\large\textsf{= -108 + 4(2) - 4}\\\\\large\textsf{4(2)}\\\large\textsf{= \bf 8}\\\\\large\textsf{= -108 + 8 - 4}\\\\\large\textsf{-108 + 8}\\\large\textsf{= \bf -100}\\\\\large\textsf{-100 - 4}\\\large\text{ = \bf -104}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \boxed{\bf -104}}}}\huge\checkmark[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]  

additive inverse of 2/8​

Answers

Answer:

-2/8is it's answer

Step-by-step explanation:

mark as Brainlist

please help me with this
——/———————-////—————-

Answers

Answer:

"C"

Step-by-step explanation:

-B means the B is in the opposite direction

Next question
lets keep going

Answers

Answer:

U = 67.6 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos U = adj side / hypotenuse

cos U = sqrt(10)/ sqrt(69)

cos U = sqrt(10/69)

Taking the inverse cos of each side

cos ^-1( cos U) =  cos ^-1(sqrt(10/69))

U = 67.62335

To the nearest tenth

U = 67.6 degrees

Step-by-step explanation:

here's the answer to your question

I just need Primitive function

Answers

Answer:

?????

Step-by-step explanation:

In what do you need primitive function?

5 năm trước tổng số tuổi của hai mẹ con là 55 tuổi. Hiện nay tuổi con bằng 4/9 lần tuổi mẹ. Tính số tuổi của mẹ và tuổi con hiện nay?

Answers

Answer:

12

Step-by-step explanation:

12

Create a linear function rule that has a slope of –2 and a solution at (–5, 16)

Answers

Answer:

2x+y-16=0

Step-by-step explanation:

using point slope form.

The linear function rule that has a slope of –2 and a solution at (–5, 16) will be y = –2x + 6.

What is the equation of line?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the line is negative 2. Then the equation of the line will be

y = –2x + c

And the solution of the line is (–5, 16).

Then this point will satisfy the equation of the line.

Then the value of c will be

16 = –2(–5) + c

16 = 10 + c

c = 16 – 10

c = 6

Substitute the value of c in the equation of line.

Then the equation of line will be

y = –2x + 6

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ2


Robert owns two dogs. Each day, one dog eats
1/6 of a scoop of dog food and the other dog eats br
1/6 of a scoop. Together, how much dog food do
the two dogs eat each day? Write in simplest
form.

Answers

Answer:

1/3

Step-by-step explanation:

1) 1/6+1/6= 2/6

2) 2 and 6 can both be divide be 2.

   2/2=1 and 6/2=3

Please help me. I don't understand fractions here is my problem.
Add:

5/24+9/20

Answers

Answer:

79/120

Step-by-step explanation:

5/24+9/20

to add the fractions the denominator (bottom part) has to be the same. ex you can add one third and one third to make two thirds. but you wont know what 1/2 + 1/3 is.

convert to same denominator. to do this, the fractions themselves need to stay the same value but the bottom number needs to change. ex 1/2=2/4 and 1/3= 2/6. when you multiply and divide the top and bottom part of the fraction by the same number, the value of the fraction stays the same. ex 3/6 divide both parts by 3 you get 1/3. so 3/6=1/3

to get the common denominator we have to find the least common multiple, or LCM (since 5 and 9 dont share any common factors.)

24 and 20 LCM

=120

convert both 5/24+9/20 to x/120 and y/120

5/24 multiply by 5 on top and bottom

=25/120

9/20 multiply by 6 on top and bottom

=54/120

25/120+54/120

=(25+54)/120

=79/120

Which equation has the same solution as 10(x) - x + 5 = 41

Answers

Step-by-step explanation:

if that is truly the full problem description, then we have

10x - x + 5 = 41

=>

9x = 36

our simply

x = 4

so, I am not sure, what your teacher wants to see as result.

there is an infinite number of equations I could find, all with the solution x = 4.

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