An insurance company study shows that 9% of U. S. adults have diabetes. Suppose 8 US adults are selected at random. LetX be the number of US adults among the 8 selected that have diabetes. Find the mean and standard deviation of X.

Answers

Answer 1

Using the binomial distribution, it is found that:

The mean of X is of 0.72.The standard deviation of X is of 0.81.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

E(X) = np = 8 x 0.09 = 0.72.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{8 \times 0.09 \times 0.91} = 0.81[/tex]

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Related Questions

2h + 2h and 4h
plsssss help

Answers

Answer:

8h

Step-by-step explanation:

basically your supposed to combine all of the H's. The numbers are how many there are. Just add the numbers with the same letters, and then stick the letter next to it.

2+2+4= 8

h+h+h= h

8h

Have a good day!! Be tiger fierce!!

8h

2h + 2h = 4h +4h = 8h

A pair of shoes were originally priced at $125. They are now being sold with a 20% discount. What is it's new price?

* ill give brainliest

Answers

Answer:

100

Step-by-step explanation:

Forumla is

Original price X rate of discount = discount

The original price is $125, the rate of discount is 20%

So in math form, this is 125 x .20

which equals 25.

Lastly, just subtract that from the original price. 125 - 25 = 100.

SOMEONE PLS HELP WITH THIS! Picture is provided

Answers

Step-by-step explanation:

to simplify this try making table and substitute the value of X and get y

The amount of money that Mary earns varies directly with the number of hours worked. If Mary earns $320 for working 40 hours,
determine the constant of variation
A)
6
B)
7
C)
8
D
9

Answers

Answer:

(c) 8

Step-by-step explanation:

A light bulb consumes 3600 watt-hours per day. How many watt-hours does it consume in 4 days and 12 hours?
watt-hours
$

Answers

Answer/Step-by-step explanation:

18 hours = 18/24  reduces to 3/4 of a day

3/4 = 0.75

     so,........ 3600/3.75 = 960 watts per day

Factor the expression d2-8d +16

Answers

2(-3d+8)



Factor out the 2:
d x 2 -8d+16 —> 2(d-4d+8)

Collect like terms:
2(-3d+8)

(-x2 -8y) + (-2xy - 2y2 + x2) + (-x2 + 4xy)

Answers

Answer:

-x² - 2y² + 2xy - 8y

Step-by-step explanation:

It costs $125.00 to rent the swimming pool, plus $4.50 per person. What would be the total cost to rent the swimming pool for 30 people?

Answers

Answer: Hi, I think your answer is gonna be 260 dollars! Have a good day!

Step-by-step explanation:

Identify the values of a,b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive integer value.
x^(2)=6(x-8)

A=
B=
C=

THANK YOU SO MUCH

Answers

Answer:

a=1

b= -6

c=48

Step-by-step explanation:

x^2=6(x-8)

x^2=6x-48

x^2-6x+48

a,b are the coefficients of x^2 and x

c is the constant value present

Therefore it is basically written as ax^2+bx+c

and comparing with the answer x^2-6x+48,

a=1, b= -6, c=48

t/3 > Solve > 15. Graph the solution 3 The solution is​

Answers

Answer:

[tex]T > 45[/tex]

Step-by-step explanation:

Given

[tex]\frac{T}{3} > 15[/tex]

Required

Graph the solution

[tex]\frac{T}{3} > 15[/tex]

Multiply both sides by 3

[tex]3 * \frac{T}{3} > 15*3[/tex]

[tex]T > 15*3[/tex]

[tex]T > 45[/tex]

See attachment for graph (Assume T is on the x-axis)

What is this image - +

Answers

Answer:

there is no image

Step-by-step explanation:

hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm ​

Answers

jawaban

a. = 112 cm²b. = 136 cm²

penjelasan langkah demi langkah( step by step explanation )

Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)

a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )

= 2 ( 32 + 8 + 16 )

= 2 × 56

= 112 cm²

b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )

= 2 ( 24 + 12 + 32 )

= 2 × 68

= 136 cm²

Which of the following represents a valid function

Answers

Answer:

Step-by-step explanation:

The first and third are valid functions. The second is not a function as there are two different y values for the same x value. It fails what is called the ‘vertical line test’.

in a pack of 24 balloons, 3/4 are blue or green, how many of the balloons are blue or green?

Answers

Answer:

3 my answer

Step-by-step explanation:

24 divide 8-3

Question 1 of 5
Which three side lengths best describe the triangle in the diagram?
O INCHES
1
2
3
4
5
OM 1
2
3
4
5
6
7
8
9
10 11 12 13
O INCHES
5
9 10 11 12 13
w
8
4
7
A
6
5
3
4
3
.
-N
2
O
0 i 2
1
O INCHES
w

Answers

The answer is 2 answer 2

The three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm

What is a triangle?

A polygon with three sides and angles is called a triangle.

Given is a figure, with the rulers attached to each side, we need to see what are the measurements of the sides of the triangle,

The first side is showing a measure of 13

The second side is showing a measure of 12

And, the third one is showing a measure of 5

This is a right triangle because the measurements are Pythagorean triplets.

Hence, the three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm

Learn  more about triangles, click;

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answer hurry please

Answers

Answer:

-3

Step-by-step explanation:

wathway lol look it up gives u all the answers.

What is the measure of angle A?

Answers

Answer:

64 degrees

Step-by-step explanation:

A triangles angles always add up to 180. So add 58 + 58 to get 116. Now subtract 180 - 116 to find the measure of angle A. You get 64.

Hope it helps!

Step-by-step explanation:

58 +58 = 116

180-116 = 64

So angle 4 = 64

Find the roots of the equation below.

x2 - 6x + 12 = 0

-3 ± √3
3 ± √3
-3 ± i√3
3 ± i√3

Answers

Answer:

[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Algebra II

Imaginary Numbers: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 6x + 12 = 0

Step 2: Identify Variables

Compare the quadratic to standard form.

x² - 6x + 12 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = 12

Step 3: Find Roots

Substitute in variables [Quadratic Formula]:                                               [tex]\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] Simplify:                                                                       [tex]\displaystyle x=\frac{6\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Evaluate exponents:                                 [tex]\displaystyle x=\frac{6\pm\sqrt{36-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Multiply:                                                     [tex]\displaystyle x=\frac{6\pm\sqrt{36-48}}{2(1)}[/tex][Quadratic Formula] [√Radical] Subtract:                                                     [tex]\displaystyle x=\frac{6\pm\sqrt{-12}}{2(1)}[/tex][Quadratic Formula] [√Radical] Factor:                                                       [tex]\displaystyle x=\frac{6\pm \sqrt{-1} \cdot \sqrt{12}}{2(1)}[/tex][Quadratic Formula] [√Radicals] Simplify:                                                   [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2(1)}[/tex][Quadratic Formula] [Fraction - Denominator] Multiply:                             [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2}[/tex][Quadratic Formula] [Fraction - Numerator] Factor:                                   [tex]\displaystyle x=\frac{2(3 \pm i\sqrt{3})}{2}[/tex][Quadratic Formula] [Fraction] Divide:                                                         [tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]

The answer ASAP plz I need help

Answers

Answer:

C

Step-by-step explanation:

i might be wrong -

Answer:

i think its b not too sure tho

Step-by-step explanation:

The midpoint of AB is M(-2,1). If the coordinates of A are
(1, -2), what are the coordinates of B?

Answers

Answer:

(-1, 2)

Step-by-step explanation:

Someone help me out please.

Answers

Answer:

The answer should be 64.21 or 64

Step-by-step explanation:

Help this Helped

how do you express 90 inches in yards and inches.

Answers

2.5 yards ahbdjxnejs

Answer:

90 inch=2.5 yard

Step-by-step explanation:

divide the length value by 36

happy to help ya :)

A floor shaped like a square has a perimeter of 100 feet.what is the area of the floor in square feet?

Answers

Answer:

625

Step-by-step explanation:

Square has four sides. 100/4=25

Area=L×W

25×25=625 square feet

4 friends share 3 pounds of grapes equally.how much pounds of grapes does each friend get?

Answers

Answer:

0.75 lb

Step-by-step explanation:

3 divided by 4 is 0.75

If desserts are randomly made where each option is equally likely in each category, what is the probability you would get a dessert with a cone?

A) .4
B) .5
C) .6
D) .7

Answers

Answer:

B) .5

Step-by-step explanation:

two items, divide 1 by 2, get 1/2 becomes 0.5

Answer:

so 4546b can get brainliest. Also on the other on I answered too.

Step-by-step explanation:

(6a + 5b + 4c) + (–6c + 15b) + (–8a)

Answers

Answer:

-2a + 20b - 2c

Step-by-step explanation:

(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a

                                                          = 6a - 8a + 5b + 15b + 4c - 6c

                                                          = -2a + 20b - 2c

A deck crane is used to lift very heavy objects
and can rotate 360°. Its working radius is 28
meters. What is its working diameter?

Answers

Answer:

56 meters

Step-by-step explanation:

diameter = 2(radius)

2 x 28 = 56

A circle has a radius of 18.2 cm. Find the
length of the arc intercepted by a central
angle having the measure 3 radians.

Answers

Answer:

54.6cm

Step-by-step explanation:

Arc length = radius * central angle

= 18.2*3

=54.6

Draw a picture using the rectangular fraction model and write the answer. When possible, write your answer as a mixed number. 3/4 + 2/3 =

Answers

Answer:

yesss sirrrrrrrr

Step-by-step explanation:

l am out eyyyyyy

PLEASE HELP! GIVING POINTS :)!

Answers

Answer:

8 23/40

Step-by-step explanation:

8 and 5 have 40 in common. To get from 8 to 40 you need to multiply by 5. You have to do the same to the top and bottom numbers in the fraction. 3/8 turns into 15/40. To get from 5 to 40, you need to multiply by 8. Again, u have to do the same for the top and bottom. 1/5 turns into 8/40. 15/40 + 8/40 = 23/40. Add the whole numbers, 6 and 2, to get 8. So the answer in 8 23/40. Hope this helps!

Answer:

8 23/40

Step-by-step explanation:

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