Approximately 15% of Americans have a blood type of B. The local blood bank has 80 donors stop by on a given day (which can be considered a random sample from the population). What is the probability that between 15% and 20% of the donors on a given day have a blood type of B?

Answers

Answer 1

Answer: the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944

Step-by-step explanation:

Given that;

Binomial Distribution

n = 80

p = 0.15

q = 1 - p = 0.85

Mean = μ = np = 80 X 0.15 = 12

SD = σ = √(npq) = √(80 x 0.15 x 0.85) = -3.1937

Now; Assumptions in normal distribution to binomial distribution

- The sample size = n = 80 > 30 . Large sample

-  np = 80 × 0.15 = 12 > 10

- nq = 80 × 0.85 = 68 > 10

so

80 × 0.15 = 12

80 × 0.20 = 16

To find P(12 < X < 16):

Z = (16 - 12) / 3.1937

= 4 / 3.1937

= 1.2525

Table of Area Under Standard Normal Curve gives area = 0.3944

Therefore the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944


Related Questions

does increase in sample size increases degrees of freedom for t-tests.

Answers

basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.

Find the equation of the purple line.

Answers

Answer:

Y-3/5x+2

Step-by-step explanation:

y=1/2x+2 because the slope is 1/2 and the y
intercept is 2

Blake was listening to his favorite radio station. He noticed that 15 songs were played and 3 of them were by Justin Bieber in the hour he was listening.

13. What is the ratio of songs by Justin Bieber to the number of songs played?

14. Write this as a unit rate.

15. Suppose the station continues to play this ratio of songs. How many times will Blake hear songs by Justin Bieber in the next three hours?

Answers

Answer:

15 is 9 because the ratio is 3:15 in 1 hour, so you multiply by 3(hours) and you get 9

Step-by-step explanation:

I apologise but I'm too rusty at the other questions to be able to answer them anywhere close to accurate D:

9514 1404 393

Answer:

  13. 3/15 = 1/5

  14. 1/5 (or 3 Bieber songs per hour)

  15. 9

Step-by-step explanation:

13. The requested ratio is ...

  (3 Bieber songs)/(15 total songs) = 3/15 = 1/5

__

14. 1/5 is the "unit rate" for the ratio in problem 13. Its units are "Bieber songs per song played."

(IMO, this "unit rate" is pointless. For the purpose of problem 15, the applicable "unit rate" is Bieber songs per hour. That is 3 songs per hour.)

__

15. At a rate of 3 Bieber songs per hour, in 3 hours one might expect ...

  (3 songs/hour)(3 hours) = 9 songs . . . . by Bieber

WILL GIVE BRAINLEST PLZZZ HELPP MEEEE

Answers

Answer: its C

Step-by-step explanation:

whats -4 times (-9)

please help

Answers

-4 x -9 would be 36

Being that both numbers are negative, they will cancel each other out, and become positive.

HELLP PLZ... Also MERRY EARLY CHRISTMAS ​

Answers

Answer:

Step-by-step explanation:

0 would represent the surface of the water

4 seguall

3

2

1 above water

0-surface of the water

-1 in the water

-2

-3

-4

Answer:

on the surface, because 0 represents sea level.

Step-by-step explanation:

Hope this helps and good luck :)

the reciprocal of 3 - 1/5 is​

Answers

Answer:

[tex]\frac{5}{14}[/tex]

Step-by-step explanation:

First subtract the two terms by setting the first term as a fraction.

3 * [tex]\frac{5}{5}[/tex] = [tex]\frac{15}{5}[/tex]

Then subtract the terms.

[tex]\frac{15}{5}[/tex][tex]-\frac{1}{5}[/tex] = [tex]\frac{14}{5}[/tex]

Finally, flip the numerator and the denominator.

1998 hurricane Bonnie approached the United States at a speed of 8 miles per hour . The function y= 8x disproves how many miles y hurricane Bonnie traveled x hours . Use the graph to estimate how far the hurricane traveled in 2.5 hours

Answers

Answer:

y=20

Step-by-step explanation:

8x

8(2.5)

8×2=16

8×0.5=4

16+4=20

y=20 in this equation

PLEASE HELP!!
• Which of these are equivalent to -11/4 ? Choose ALL that apply.

Answers

The options equivalent to the given fraction are:   -11 ÷ 4,  -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]

[tex]-\frac{11}{4}[/tex] is an improper fraction. An improper fraction is a fraction in which the numerator is larger than the denominator.  [tex]\frac{-11}{4}[/tex] can also be written as -11 ÷ 4.

In order to determine the answers, take note of the following rules:

When a negative number is divided by a positive number, the result is a negative number. -8 ÷ 2 = -4When a positive number is divided by a negative number, the result is a negative number. 8 ÷ -2 = -4When a negative number is divided by a negative number, the result is a positive number. -8 ÷ -2 = 4

Using the above rules, the equivalent options are:  -11 ÷ 4,  -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]

A similar question was answered here: https://brainly.com/question/15382096?referrer=searchResults

The first, second, fourth, and fifth options among all are equivalent to [tex]\frac{-11}{4}[/tex].

These all are forms of division.

The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.

The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.

Hence, the first, second, fourth, and fifth options are correct.

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Tickets at the basketball game are 2:50 each: complete table based on cost of basketball game tickets

Answers

Answer:

0)2.50 2)5.00 4)10.00 6)15.00

Step-by-step explanation:

Best answer gets brainliest!!!
Choose 3 plz!

Answers

I believe that the answer B,D,and E

Answer:

A, D, and E (I think)

Step-by-step explanation:

I'm pretty sure those would be the right answers, sorry that this isn't much of an explanation lol

Hunter earns $16 per hour tutoring students after school. If Hunter tutored for 12 hours this month, how much money did he earn this month?

Answers

Answer:

Step-by-step 4explanation:

Jada raised 60% of $20 goal. How much did she raise?

Answers

Answer:

$12

Step-by-step explanation:

setting up a proportion and putting 20 of 100 and 60 over x, we multiply 60 and 20 then divide one hundred from both sides leabing. We should have 100/x = 1200/100. Doing this gives us x = 12.

Answer:

Jada raised $8

Step-by-step explanation:

$20 with 60% discount, you will pay 20 - 12 = 8 dollars.

If the empire state building stands at around 1,454 feet and something is born every 0.00000000000000000000005 second how long is the average toenail length for a standard bridge troll? (I'm asking for a friend of mine..)

Answers

Answer:

Length = 0

Step-by-step explanation:

The bridge troll is tearing his toe nails up climbing the Empire State Building.

Find the value for x.
5x - 12
3x + 30
48

Answers

is this the way the question is laid out? is there an equal sign anywhere

The value of x will be;

⇒ x = 3.75

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 5x - 12 + 3x + 30 = 48

Now,

Solve the expression for x as;

The expression is,

⇒ 5x - 12 + 3x + 30 = 48

⇒ 8x - 12 + 30 = 48

⇒ 8x + 18 = 48

Subtract 18 both side as,

⇒ 8x - 18 = 48 - 18

⇒ 8x = 30

Divide by 8 as;

⇒ x = 30/8

⇒ x = 3.75

Thus, The value of x will be;

⇒ x = 3.75

Learn more about the mathematical expression visit:

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(x+8)(x+2) = 10x+x^2

Answers

Answer:

.

Step-by-step explanation:

x^2 + 2x + 8x + 16 = 10x + x^2 (FOIL)

x^2 + 10x + 16 = 10x + x^2 (add like terms)

16 = 0 (10x and x^2 cancel out on both sides)

(x+8)(x+2) is NOT equal to 10x+x^2

PLEASE HELP I WILL GIVE 100 points

Using the drawing below to answer the questions that follow

Part A what is the scale factor used when going from the larger rectangle to smaller one?

Part B
What is the length of missing side?

PLEASE HELP

Answers

Answer: the scale factor is 1/2

And the missing side is 5.5

Step-by-step explanation:

The larger triangle is twice the smaller triangle

The scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.

What is a scale factor?

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that:

The two rectangles are shown in the picture:

Part A what is the scale factor used when going from the larger rectangle to the smaller one?

The scale factor = 8/16 = 1/2

The length of the missings side = 1/2(11) = 5.5

Thus, the scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.

Learn more about the scale factor here:

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i will give brainliest to the right answer<3

Answers

Answer:

the whole

Step-by-step explanation:

If system of linear equations has no solution,then

Answers

Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Step-by-step explanation:

Solve 11 < 3x+8 < 20.

Answers

Answer:

1<x<4

Step-by-step explanation:

this helps me out a lot in my math class

Answer:

x=4 and thats your answer thanks for helping you but if using the z-score it's 0

Step-by-step explanation:

1<x<4

please help ALGRBRA II 10 points

Answers

Use Desmos, it’s a graphing app that will show you where the point intersects

3. A certain sum of money at simple interest amounts to $560 in 3 years and to
$600 in 5 years. Find the principal and the rate of interest. [Ans. $ 500; 4%]​

Answers

Answer: principal value = $500 and rate of interest = 4%.

Step-by-step explanation:

Let P = Principal value, r= rate of interest, t= time.

Formula for simple interest:

Interest = P x r x t

Final amount = P+ interest

= P+Prt

= P(1+rt)

Simple interest amounts to $560 in 3 years.

⇒ 560=  P(1+3r)

[tex]\Rightarrow\ P=\dfrac{560}{1+3r}[/tex]                   (i)

Simple interest amounts to $600 in 5 years.

⇒ 600=  P(1+5r)

[tex]\Rightarrow\ P=\dfrac{600}{1+5r}[/tex]                   (ii)

From (i) and (ii) , we get

[tex]\dfrac{560}{1+3r}=\dfrac{600}{1+5r}\\\\\Rightarrow\ 560(1+5r)=600(1+3)\\\\\Rightarrow\ 560+2800r=600+1800r\\\\\Rightarrow\ 2800r-1800r=600-560\\\\\Rightarrow\ 1000r=40\\\\\Rightarrow\ r=\dfrac{40}{1000}\\\\\Rightarrow\ r= 0.04= 4\%[/tex]

Put r= 0.04 in (ii), we get

[tex]P=\dfrac{600}{1+5(0.04)}\\\\=\dfrac{600}{1+0.2}\\\\=\dfrac{600}{1.2}\\\\=500[/tex]

Hence, principal value = $500 and rate of interest = 4%.

A gym membership costs $50 to join a club and then $15 per month. Which equation below represents the equation for the total cost of the gym membership and the number of months ?

Answers

Answer:

d. y = 15x + 50

Step-by-step explanation:

Look for the keywords here :

A gym membership costs $50 to join a club and then $15 per month. Which equation below represents the equation for the total cost of the gym membership and the number of months?

Start with $50, this is the entry free, along with the question being the "total cost of the gym membership." Therefore any equation that puts a negative in front of 50 is incorrect.

a) y = 15x - 50 is crossed out

Now look at $15 per month, this is the amount that is paid per time and can be increased through a variable. Therefore any equation that does not put 15x is incorrect.

c) y = 50x + 15 and b) y = 65mx is crossed out

Leaving us with d) y = 15x + 50

What is the measure of ZA?
100"
A. 30
B. 50°
C. 70°
D. 130°

Answers

Answe is B: 50
It needs to equal 180 so
100+30=130
180-130=50

Steve started with $250 and spent $25 per week. Which slope intercept form equation would match this situation ?

Answers

Answer: After 10 weeks he will run out of money. The ratio is 25:1

Step-by-step explanation:

how to find rations in triangles

Answers

it would probably be 3:3

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.

Step-by-step explanation:

What is the value of x?
(6x – 1)º
(5x + 5)º
(4x + 8)º
(3x)º
(5x + 3)º
X =

Answers

Step-by-step explanation:

(1 point)

No, there isn't a more efficient way to solve this system.

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.

van someone help me with this​

Answers

Answer:

107

Step-by-step explanation:

Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?

Answers

Answer:

He would make 300 dollars.

Step-by-step explanation:

15 x 5 = 75

75 x 4 = 300.

Answer:

answer is 300

Step-by-step explanation:

Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..

Hopes this help.

Simplify 3(12 - 8) + 5.
O A. 32
O B. 17
O C. 33
O D. 27

Answers

Answer:

b

Step-by-step explanation:

parentheses first 12-8=4

3x4=12

12+5=17

u do parentheses then exponents then division then multiplication then add then subtract

hope this helps!!!

17 because first do the parentheses then multiply the new number (4) by 3 and then add 5
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