In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)

Answers

Answer 1

Answer:

0.03177

Step-by-step explanation:

Prob (Bld grp) ~ Bin (N, P)

N = 15, P = Prob of success ie 'O' blood type = 0.45

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

Answer 2

a. The  probability that exactly three have blood type O is 0.03177

Calculation of the probability:

Since

Prob (Bld grp) ~ Bin (N, P)

So

N = 15,

P = Prob of success ie 'O' blood type = 0.45

Now

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

So,

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

hence, The  probability that exactly three have blood type O is 0.03177

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Related Questions

Can someone tell me what to write of how I found the answer please?

Answers

Answer:

-16.22

Step-by-step explanation:

You take both numbers and subtract normally because adding a negative number and a positive number is the same as subtracting them without the signs so you do 22.45-6.23 and you get 16.22 and then you just put the negative sign in front and you get 16.22.

Could I please have BRAINLIEST?

Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each weighed 10 lb more than the boxes Caleb lifted.

Let c represent the weight of each box Caleb lifted.

Which expression represents the total number of pounds Sergio lifted?


120c

10(c−12)

12(c+10)

c + 10

Answers

Answer:

b

Step-by-step explanation:

Answer:

12 c+10

Step-by-step explanation:

becus

Which net represents this triangular prism?

Answers

Hanap ka nalang sa google vhie d ko den alam eh

Answer:

If you talking about iready. It's the first pink one.

Step-by-step explanation:

11y = 2y + 45 solve for y.

Answers

Answer:

[tex]y=5[/tex]

Step-by-step explanation:

[tex]11y=2y+45[/tex]

Start by subtracting [tex]2y[/tex] from both sides of the equation:

[tex]9y=45[/tex]

Divide by the coefficient of [tex]y[/tex], which is [tex]9[/tex]:

[tex]y=5[/tex]

_

Check your work by substituting the solved [tex]y[/tex] value ([tex]5[/tex]):

[tex]11(5)=2(5)+45[/tex]

[tex]55=10+45[/tex]

[tex]55=55[/tex]

Since both sides of the equation are equal, our answer is correct!

Answer:

y = 5

Step-by-step explanation:

Solving the equation for y means finding the value of that variable that makes the equality true.

11y = 2y + 45

Subtract 2y from both sides.

11y - 2y = 45

9y = 45

Divide both sides by 9.

y = 5

Can someone please help me, ty!! (Will mark brainliest)

Answers

Answer:

im gonna say 4 if im wrong its my fault

Geometry question..can anyone help?

Answers

Answer:

For the trapezoid it is the y axis.....

For the triangles it is the x axis

A bookstore sells 1 book for $14.75. Which table represents the relationship between number of books and the total price?

Answers

Answer:

Number of books sold = 14.75*x

Step-by-step explanation:

PLEASE HELP ASAP

Prove that triangles PQR and RSQ are congruent.
Given:
PQ = RS, and ​

Answers

Answer:

Step-by-step explanation:

ok so lets assume that line PQ and RS and QR and PS are parallel lines cut by a transeversal. To prove this you can do it in a couple of different ways the one way i know is that if you assume these are parralel then you can uses the alternate interior anges to prove that measure of QSP and SQR then by logic you know that PQS + SQR = RSQ+QSP which symplifies to PQR = RSQ

What's Ta
Try solving the following problem
In a group of 120 students, 68 had ridden a bus, 78 had ridden the LRT. 33
had ridden a jeep, while 40 had ridden both the bus and the LRT, 20 had ridden
the bus and the jeep, 19 had ridden the LRT and the jeep and 15 had ridden the
bus, the LRT and the jeep.
a. How many had ridden the bus only?
b. How many had ridden the LRT only?
c. How many had ridden the jeep only?
d. How many did not ride on any of the three modes of transportation?​

Answers

Answer:

A.) bus only = 23

B.) LRT only = 34

C.) Jeep only = 9

D.) 5

Step-by-step explanation:

Let :

B = bus ; J = Jeep ; L = LRT

KINDLY CHECK ATTACHED PICTURE FOR DETAILED EXPLANATION

A set is a group of related item.

34 had ridden on LRT only23 had ridden on bus only9 had ridden on jeep only5 did not ride on any

Let:

[tex]Total =120[/tex]

[tex]B = 68 \to Bus[/tex]

[tex]L = 78 \to LRT[/tex]

[tex]J =33 \to Jeep[/tex]

[tex]n(B\ n\ L) = 40[/tex]

[tex]n(B\ n\ J) = 20[/tex]

[tex]n(L\ n\ J) = 19[/tex]

[tex]All = 15[/tex]

(a) Bus only

This is calculated using:

[tex]B\ only = B - n(B\ n\ L) - n(B\ n\ J) + All[/tex]

So, we have:

[tex]B\ only = 68 - 40 - 20 + 15[/tex]

[tex]B\ only = 23[/tex]

(b) LRT only

This is calculated using:

[tex]L\ only = L - n(B\ n\ L) - n(L\ n\ J) + All[/tex]

So,

[tex]L\ only = 78 - 40 - 19 + 15[/tex]

[tex]L\ only = 34[/tex]

(c) Jeep only

This is calculated using:

[tex]J\ only = J - n(B\ n\ J) - n(L\ n\ J) + All[/tex]

So, we have:

[tex]J\ only = 33 - 20 - 19 + 15[/tex]

[tex]J\ only = 9[/tex]

(d) None

Let x represents those that took none of the means of transport.

So, we have:

[tex]Total = B\ only + J\ only + L\ only + [n(B\ n\ L) -All] +[n(B\ n\ J) -All] +[n(L\ n\ J) -All] + All + x[/tex]

This gives

[tex]120= 34 + 23 + 9 + [40 -15] +[20 -15] +[19 -15] + 15 + x[/tex]

[tex]120= 115 + x[/tex]

Collect like terms

[tex]x = 120 - 115[/tex]

[tex]x = 5[/tex]

See attachment for the Venn diagram of the set.

Read more about sets at:

https://brainly.com/question/7013716

Plz answer 1st RIGHT gets BRAINLY!!!!! PLUS 10 POINTS!!!!

Answers

Answer: I think the answer is B.) 570

the answer is C.) 760

In a group of 80 people, 50 can speak Nepali, 45 can speak English and 7 of them do not
speak both languages.
a) Find the number of people who speak both languages.
b) Also illustrate the above information in Venn diagram.​

Answers

Answer:

Universal set is 80

Number of people that speak Nepali is 50

Number of people that speak English is 45

Number of people that do not speak both is 7

a. Number of people that speak both languages is 22

b. As above

Step-by-step explanation:

a. Let make number of people that speak both languages x

To get x

(50-x) + (45-x) + x + 7 = 80

(50-x) + (45-x) + x = 80 - 7

(50-x) + (45-x) + x = 73

Open bracket

50-x+45-x+x= 73

50+45-2x+x = 73

95 - x = 73

-x = 73 - 95

-x = -22

x = 22

Therefore, number of people that speak both languages is 22

b. To get venn diagram

Number of people that speak Nepali is 50 - 22 = 28

Number of people that speak English is 45 - 22 = 23

Therefore, total = 28+23+22+7 = 80

4.1 Number Talk: Division

Find each quotient mentally.

645 divided by 100

645 divided by 50

48.6 divided by 30

48.6 divided by x

Answers

Answer:

645/100 = 129/20 or 6.45

645/50 = 129/10 or 12.9

48.6/30 = 1.62

48 divided by x = 48.6/x

Step-by-step explanation:

645/100

Factor the number:

= 5*129/100

Factor the number:

= 5*129/5*20

Cancel the common factor:

= 129/20

645/50

Factor the number:

5*129/50

Factor the number:

5*129 / 5*10

Cancel the common factor:

= 129/10

48.6/30

Write the problem in long division format

Multiply the quotient digit (1) by the divisor (30)

Subtract 30 from 48

Add a decimal and bring down the next number

Divide 186 by 30 to get 6

Continue...A few steps later...

Subtract 60 from 60

Solution is 1.62

48.6/x

Re-write division as a fraction:

48.6/x

Jeff hikes 1/2 mile every 1/4 hour. Lisa hikes 1/3 miles every 1/6 of an hour. How far does each hike in 1 hour?

Answers

Answer:

They both hike 2 miles in 1 hour

Step-by-step explanation:

Jeff hikes 4 miles in 2 hours. so that means in 1 hour he hikes 2 miles. Lisa hikes the same amount of miles in an hour as Jeff

someone help please!!

Answers

Answer:

1

Step-by-step explanation:

I’m not sure but I think it’s 1

Points that do not lie in the same plane are called________points​

Answers

Answer:

non - collinear points

Step-by-step explanation:

points that dont lie on the same line

Solve A=4πr² for π. What is the solution to this problem?

Answers

Answer:

A/4r²=π

Step-by-step explanation:

A=4πr²

Divide each side by 4r²

A/4r²=4πr² /4r²

A/4r²=π

Solve for x. 6+X-7= 16​

Answers

Answer:

X=17

Step-by-step explanation: You would first group like terms. Then you would do 6-7. Then you would add 1 to both sides and get X=17.

Answer:

x=17

Step-by-step explanation:

Groups like terms

x+6-7=16

Subtract the numbers: 6-7= -1

x-1=16

Add 1 both sides

x-1+1=16+1

Simplify

x=17

The sum of twice a number n and 8 is less than 25

Answers

Answer:

2n+8=25

Equation

Step-by-step explanation:

n=8.5

This is the answer

Find the number that makes the ratio equivalent to 7:8.
:24

Answers

Answer:

21:24

Step-by-step explanation:

7:8 is your ratio

so if _:24 is equivalent, you have to figure out what 24 is divisible by to equal 8

8×3=24

so now we have to multiply 7 by 3

7×3=21

so your answer is 21:24 = 7:8

hope this helps :)

Given: angle EGF = 60° and Angle AGF = 90°. Prove: AGB = 30
I need two column proof btw

Answers

Step-by-step explanation:

you you can state that angles in a triangle add up to 180° and 180 degrees - 90 + 60 is equals to 30 degrees

Mr. Waxman is helping with deliveries for a shipping company. The graph shows a linear model for his delivery times on different days.

(A) Identify two points on the line and write the coordinate pairs below.

(B) Use your two points to find the slope, and make sure to show your work.

(C) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from point-slope form into slope-intercept form.

(D) Based on the equation you found in Part C, predict how long it take Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day?

Answers

Answer: a- (7,7) (4,19) b- m=-12/3=-4/1=-4 c- y=4x+35 d- 48min, it increases by 12min a day

Step-by-step explanation:

i did the assignment

Mr. Waxman's delivery is an illustration of a linear function.

(a) Two points on the graph

The points are: (4,19) and (6,11)

(b) The slope of the graph

The slope (m) is calculated as:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{11 - 19}{6- 4}}[/tex]

[tex]\mathbf{m = \frac{-8}{2}}[/tex]

[tex]\mathbf{m = -4}[/tex]

The slope of the graph is -4

(c) The equation of the graph

In point-slope form, we have:

[tex]\mathbf{y -y_1 = m(x - x_1)}[/tex]

So, we have:

[tex]\mathbf{y -4 = -4(x -19)}[/tex]

In slope intercept form, we have:

[tex]\mathbf{y = -4(x -19) + 4}[/tex]

Open brackets

[tex]\mathbf{y = -4x +76 + 4}[/tex]

[tex]\mathbf{y = -4x +80}[/tex]

The equation of the graph is: [tex]\mathbf{y = -4x +80}[/tex]

(d) The value of the function at day 0

This means that x = 0

So, we have:

[tex]\mathbf{y = -4(0) +80}[/tex]

[tex]\mathbf{y = 0 +80}[/tex]

[tex]\mathbf{y = 80}[/tex]

Hence, it will take 80 minutes to deliver the package on day 0

Read more about linear functions at:

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2. The snow at Afton Alps is 3 meters deep when it starts snowing. After 3 hours the snow is 3.6 meters deep. What
is the rate of change of snowfall in meters per hour?

Answers

I think 0.2 because start it’s already3 mean 3.6-3=0.6 3hours=0.6/3=0.2

sams cola 0-0 T-T :-(

Graph the line that passes through the points (-5,2) and (6,2) and determine the equation of the line.​

Answers

Answer:

y = 2

Step-by-step explanation:

....................

DATE:
a. Aling Luz bought 3 yards of linen cloth
which cost pnp 72. per yord & She gave Php 10o.
oo to cashier How much change will she tecive.​

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't well written but let me help out. I saw a similar question.

Example 1: Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard. She gave Php 1000.00 to the cashier.How much change will she get?

Since we are informed that Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard, the amount she'll pay will be:

= 3/8 × 72

= Php 27

Since she gave the cashier Php 1000, her change will be:

= 1000 - 27

= Php 973

Suppose that the weight of navel oranges is normally distributed with a mean µµ = 8 ounces, and a standard deviation σσ = 1.5 ounces. a. What percent of oranges weigh more than 11.5 ounces? b. What percent of oranges weigh less than 8.7 ounces? c. If you randomly select a navel orange, what is the probability that it weighs between

Answers

Answer:

Hello some parts of your question is missing below is the missing part

c. If you randomly select a navel orange, what is the probability that it weighs between6.2 and 7 ounces

Answer: A) 0.0099

              B) 0.6796

              C) 0.13956

Step-by-step explanation:

weight of Navel oranges evenly distributed

mean ( u ) = 8 ounces

std ( б )= 1.5

navel oranges = X

A ) percentage of oranges weighing more than 11.5 ounces

P( x > 11.5 ) = [tex]P ( \frac{x - u}{ std} > \frac{11.5-8}{1.5} )[/tex]

                   = P ( Z > 2.33 ) = 0.0099

                   = 0.9%

B) percentage of oranges weighing less than 8.7 ounces

  P( x < 8.7 ) = [tex]P ( \frac{x - u}{ std} > \frac{8.7-8}{1.5} )[/tex]

                    = P ( Z < 0.4667 ) = 0.6796

                    = 67.96%

C ) probability of orange selected weighing between 6.2 and 7 ounces?

P ( 6.2 < X < 7 ) = [tex]P (\frac{6.2-8}{1.5} < \frac{x - u}{ std} < \frac{7-8}{1.5} )[/tex]

                          = P ( -1.2 < Z < -0.66 )

                          = Ф ( -0.66 ) - Ф(-1.2) = 0.13956

At the hardware store you can buy 9 boxes of bolts for $18.81. This can be expressed by the equation 18.81=(2.09)9.

How much would it cost for 2 boxes?

Group of answer choices

$18.00

$4.18

$2.09

$9.00

Answers

18.81 divide by 9 multiply by 2 it will be $4.18
18.00 so you can divide it

Can someone please help me with this?

Answers

Answer:

I'm gonna say b

Step-by-step explanation:

b should be the answer

After 2 weeks of training Amanda learned a total of 5 appetizer recipes after 6 weeks of training how much appetizers will she learn

Answers

Answer:

15

Step-by-step explanation:

After 6 weeks of training, Amanda will learn 15 recipes.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Recipes learned by Amanda after 2 weeks of training = 5.

After 6 weeks of training, the number of recipes are required.

To find the number of recipes,

Use ratio property,

After 2 weeks of training = 5 recipes

After 1 week of training = 5/2 recipes.

Therefore, after 6 weeks of training = (5/2) x 6 = 15 recipes.

Amanda will learn 15 recipes after 6 weeks of training.

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#SPJ2

A jet travels 500 miles in 5 hours . At this rate ,how far could the jet fly in 9 hours ? What is the rate of speed of the jet?

Answers

the rate of speed of the jet is 100miles per hour, so in 9 hours, jet could fly 900 miles.

I hope this helps

Answer:

900 miles it will fly in 9 hours

Step-by-step explanation:

the rate of the speed of the jet is 100 miles per hour because if the jet traveled 500 miles in 5 hours that means it's been flying at 100 miles per hour.

Question 2 A man ran 20 miles in 2 hours. Calculate the average time that it took the man to run each mile in minutes.​

Answers

Answer:

6 mintutes per mile

Step-by-step explanation:

find how many minutes are in 2 hours which is 120 then divide that by 20 to get a total of 6

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