Using the binomial distribution, it is found that:
a) The mean is of 0.36 and the standard deviation is of 0.58.
b) There is a 0.0036 = 0.36% probability that there are exactly three universal donors.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single 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]
The values of the parameters are given as follows:
n = 6, p = 0.06.
Item a:
E(X) = np = 6 x 0.06 = 0.36.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6 \times 0.06 \times 0.94} = 0.58[/tex]The mean is of 0.36 and the standard deviation is of 0.58.
Item b:
The probability is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{6,3}.(0.06)^{3}.(0.94)^{3} = 0.0036[/tex]
There is a 0.0036 = 0.36% probability that there are exactly three universal donors.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
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The graph shows the time spent by students A through H on their homework assignments. Which student spent the least amount of time per assignment
A) a
B) d
C) g
D) h
Answer:
Student H
Step-by-step explanation:
He did the most amout of assiments in the least amout of time
Answer:
Student G
Step-by-step explanation:
They did 7 assignments in 8 hours, while student B did 3 in 8 hours
I think
what is sixty three hundred in number form
Answer:
Step-by-step explanation:
600,399
Blackcap birds (Sylvia atricapilla) migrate out of Germany before wintertime. Prior to the 1960s, all members of a particular blackcap population flew to Spain, which had an abundant natural food source. Now, some members of the same blackcap population fly to the United Kingdom, where food placed in feeders by humans is abundant. The blackcaps return to the same forests in Germany to nest during the breeding season.
Some blackcaps that migrate to the United Kingdom have become distinguishable by certain physical and behavioral traits from blackcaps that migrate to Spain. Which of the following best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter?
A- The blackcaps that migrate to Spain will selectively mate with the blackcaps that migrate to the United Kingdom, resulting in increased genetic variation in the blackcap population.
B- The blackcaps that migrate to the United Kingdom will become reproductively isolated from the blackcaps that migrate to Spain, resulting in speciation in the blackcap population.
C- The blackcaps in Spain and the United Kingdom will migrate to other geographical locations in search of potential mating partners, resulting in a smaller blackcap population in Germany.
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Answer:
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Step-by-step explanation:
By the inhabitants of Spain and the United Kingdom placing feeders out for the blackcaps, the birds in their nesting sites during the winter will have food to eat, meaning a bigger population of the Blackcaps when they return to their main home in Germany.
This best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter.
Find the missing term in the equation
Answer:
6x
Step-by-step explanation:
4x² - 8x + 8 - x² + 2x - 4 - 3x² + 6x = 4
Easy math world problem help me asap
Given the equation y = 3x + 2 , what is the value of x when y = 8? A:2 B:4 C:6 D:9
Answer:
a
Step-by-step explanation:
you owe $1,000 to a credit card company with 18% interest rate that will be compounded daily assume that there are no late fees and you knew not pay for one year how much will you owe after one year
9514 1404 393
Answer:
$1197.16
Step-by-step explanation:
The future value is given by ...
FV = P(1 +r/n)^(nt)
for principal P earning annual rate r compounded n times per year for t years
Your balance due will be ...
FV = $1000(1 +0.18/365)^(365·1) ≈ $1197.16
You will owe $1197.16 after 1 year.
which expression would be easier to simplify if you used the commutative property to change the order of the numbers
A. (-40) + (-30) + 28
B. -3/5 + (-2/5) - 4
C. 40 + (-58) + 160
D/ 130 + 70 + (-37)
Step-by-step explanation:
OPTION A
(-40) + (-30) + 28
please I need the answer with justification
Answer:
a. 1/12
Step-by-step explanation:
I'm not 100% sure but...
The odds of the coin landing on tails is 1/2
The odds of the dice landing on 3 is 1/6
1/2 * 1/6 = 1/12
Charlotte is making 20 flower bouquets 4/5 of the bouquet are daisies and the rest are tulips how many bouquets are tulips
Answer:
4 bouquets
Step-by-step explanation:
5/5 = 20 flower bouquets.
Find out how much flower bouquets there are when it's 1/5.
5/5 = 20
1/5 = 20 ÷ 5 = 4
Since tulips are 1/5 as 5/5 - 4/5 = 1/5, 4 bouquets are tulips.
What’s the answer to this, help plzzzzz
Make a tree diagram which shows the sample space of rolling a cube with faces numbered 1-6 and flipping a fair coin. Using this tree diagram, what is the probability of rolling the number 5 and the coin landing heads up? P(5, H) = 1 P(5. H) = 1 O P(5. H) = 1 OP(5, H) = 1
HELP PLSSS
Answer:
C.) P(5, H) = 1/12
Step-by-step explanation:
Answer:
P(5, H) = 1/12
A rectangular prism is shown.
What is the volume, in cubic inches, of this rectangular prisim
Answer:
Step-by-step explanation:
104 cubed , find the value of each side length x width x height
PLEASE PLEASE HELP ILL MARK U AS BRAINLIST I NEED HELP ASAP !
Answer:
4.24 is the answer
find the value of x please help I give brainly
20 points
Answer:
x=148
Step-by-step explanation:
First, find the missing angle by subtracting 100+48 from 180 (all of the angles in a triangle add up to 180). Then, subtract that from 180 (the angles are a linear pair, so they are supplementry, so they add up to 180) x+32=180.
x=148.
(お役に立てれば！)
!NO LINKS, NO FILES!
please :)
Answer:
6
Step-by-step explanation:
Recall the area of a triangle formula
[tex]A=\frac{bh}{2}[/tex] where b = base and h = height
The triangle shown has a height of 4cm and a base length 3cm
Using this information we plug in the values into the formula
[tex]A=\frac{4*3}{2} \\4*3=12\\\frac{12}{2} =6[/tex]
Hence, the area of the triangle is 6 square centimeters
Answer:
Ok so the area of the triangle is 6
Step-by-step explanation:
a= 1/2 bh
a= 1/2 * 3 * 4
a= 1/2 * 12
a= 6
If f(x) = 2x+3 and g(x) = x^2 + 1, find f(g(3)).
Answer:
23
Step-by-step explanation:
g(3) = 3²+1 = 10
f(g(3)) = 2(10) + 3
= 23
I need help on these problems because I don’t really get it
Let g(x)=3x−1 and f(x)=x2+1. Find (g◦f)(−5).
(g◦f)(−5)=nothing (Simplify your answer.)
Answer:
-384
Step-by-step explanation:
Solve for each function first.
g(-5) = 3(-5) - 1
g(-5) = -16
f(-5) = -5^2 + 1
f(-5) = -24
Multiply.
(fg)(-5) = (-16 x -24)
(fg)(-5) = -384
Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.
what si the answer to this??
Answer:
One solution
Step-by-step explanation:
The slopes are different which means, the systems has one solution.
hope this helps and is right p.s. i really need brainliest :)
please help ASAP 20 points to whoever helps!
Answer:
A. 232 in²
B. 216 in²
Step-by-step explanation:
A. Box A is a cuboid/rectangular prism.
Surface area of box A = 2(LW + LH + WH)
L = 10 in
W = 2 in
H = 8 in
Surface area = 2(10*2 + 10*8 + 2*8)
= 2(20 + 80 + 16) = 2(116)
Surface area = 232 in²
B. Surface area of B = surface area of cube
Surface area of cube = 6s²
s = 6 in
Surface area = 6(6²)
= 6(36)
= 216 in²
Steve goes to school 350 miles from home. Driving home one weekend, he travels 70 mph for the first 140 miles, and then slows to 30 mph for 30 miles of a construction zone. He drives the last 180 miles at 60 mph. How long did it take Steve to get home?
A. 2 hr.
B. 4 hr.
C. 6 hr.
D. 8 hr.
Answer:
Its C i did the quiz
Step-by-step explanation:
I really want to know what 2+2 is.
Answer:
Step-by-step explanation:
4
Answer:
It's 4 for you and 5 points for me
Step-by-step explanation:
using angle A as the reference angle, what is the ratio of the opposite side to the adjacent side?
write the ratio as a fraction
Answer:
20/21
Step-by-step explanation:
Opposite / Adjacent = RT / AR
You have to find RT
Use the Pythagorean Theorem
AR^2 + TR^2 = AT^2
21^2 + TR^2 = 29^2
441 + TR^2 = 841 Subtract 441 from both sides
TR^2 = 841 - 441
TR^2 = 400
sqrt(TR^2) = sqrt(400)
TR = 20
Ratio: TR / AR = 20/29
pick the Quadrant that you would plot (4,2)
A. Quadrant III
B. Quadrant II
C.Quadrant IV
D.Quadrant I
Answer:
D.) Quadrant I
Step-by-step explanation:
The quadrants start from Quadrant I (in the top left) and continue counter-clockwise to Quadrant II, Quadrant III, and Quadrant IV
Quadrant I = (+,+)
Quadrant II = (-,+)
Quadrant III = (-,-)
Quadrant IV = (+,-)
Now in this case, (4,2) is positive in the x value, and positive in the y value - so it belongs in Quadrant I!
Question 8 of 10 In the polynomial below, what number should replace the question mark to produce a difference of squares? X2 + ? x-25 А. 0 B. 25 C. 10 D. 5 SUBNET
Answer:
A) The number should be 0
Step-by-step explanation:
The differences of squares formula is x²-a²=(x+a)(x-a)
If we expand (x+a)(x-a), we see that it's x²-ax+ax-a² where -ax+ax=0 since the coefficients cancel out. Therefore, option A is correct.
What is the simple interest rate for a $5,000 investment
that become $5,750 at the end of 2 years?
Answer: the answer is r=7.5%
Step-by-step explanation:
You get the formula A=P(1+nr) where A is the accumulated amount: 5750, P is the principal: 5000, n is the amount of years: 2, and r is the rate: unknown
Now you plug in what you know:
5750=5000(1+2r)
Divide 5000 on both sides
Decimal form: 1.15=1+2r
Subtract -1 on both sides
0.15=2r
And lastly divide by 2 on both sides
0.075=r
BUT WHEN FINDING THE RATE ALWAYS MAKE IT A PERCENTAGE
r=0.075*100=7.5%
In a manufacturing process, the assembly line speed (feet per minute) is believed to affect the number of defective parts found during the inspection process. Data (File 3) are collected on the number of defective parts for a variety of line speeds. Develop a linear regression equation that can be used to predict the number of defective parts given the line speed.
Line Speed Number of Defective Parts Found
20 21
20 19
40 15
30 16
60 14
40 17
Required:
a. Develop a scatter chart with line speed as the independent variable. What does the chart indicate about the relationship between line speed and the number of defective parts found?
b. Use the data to develop an estimated regression equation that could be used to predict the number of defective parts found, given the line speed. What is the estimated regression model?
c. Test whether each of the regression parameters βo and β1 is equal to zero at 0.01 level of significance. What are the correct interpretations of the estimated regression parameters?
d. How much of the variation in the number of defective parts found for the sample data does the model you estimated in part (b) explain?
Answer:
Jaime foxcgvxccvyyvytctvtvffddrgfgqvrctcrgctgtgtgygyg goku is the site
6. Priya can type 40 words per minute. Typing at that same rate, about
how many words can she type in 30 minutes?
Answer:
1200
Step-by-step explanation:
40 x 30=1200
What are all the values for u that will make this equation true?
3u - 9 = 3