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2 years ago

(k^8+8k^2+10k+21) / (k+7)

Mathematics

1 answer:

Serga [27]2 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{k^8+8k^2+10k+21}{k+7}$ is already simplified.

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When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial

Serjik [45]

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that $p = 0.06$

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694$

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

8 0

2 years ago

These dot plots show the heights (in feet) from a sample of two different types of elephants Asian Elephants . 5 10 11 12 14 15

Anvisha [2.4K]

Answer:

B - Centers: The Asian elephants have a lower median height than the African elephants

D - Spreads: The heights of the African elephants are more spread out

Step-by-step explanation:

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2 years ago

If it is 8:50 a.m., what will the time be 4 hours and 20 minutes later?

Stels [109]

Answer:

1:10 pm

Step-by-step explanation:

60 minutes in an hour, so

8:50am + 4 hours = 12:50pm

12:50pm + 20 minutes = 1:10pm

8 0

3 years ago

If a car traveling at 75 mph west, changes its direction to east, does it accelerate?

antiseptic1488 [7]

Answer:

Yes, that's right, a change in the direction of motion results in an acceleration even if the moving object neither sped up nor slowed down. That's because acceleration depends on the change in velocity and velocity is a vector quantity — one with both magnitude and direction.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Select the expression that is equivalent to x + x + y × y × y. Question 11 options: (a)x^2 + 3y (b)2x + 3y (c)x^2 + y^3 (d)2x +

beks73 [17]

x+x+y.y.y = 2x+y^3 ( y cube)

So, The answer is (d)

7 0

2 years ago