Which of the following angles are supplementary to angle a? Select all that apply.

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

3 years ago

Would 3.24 be an integer?

alexgriva [62]

That’s a irrational number

8 0

4 years ago

A ball is thrown straight up with a initial velocity of 56 feet per second . The height , h , of the ball t seconds after it is

Tju [1.3M]

Formula: H(t) = 56t – 16t^2

H(t) = - 16t^2 + 56t

A. What is the height of the ball after 1 second? H (1) = 56(1) – 16(1) ^2 = 40 pt.

B. What is the maximum height? X = - (56)/2(- 16) = 1.75 sec h (1.75) = 56(1.75) – 16(1.75) ^2 h (1.75) = 49ft.

C. After how many seconds will it return to the ground? – 16t^2 + 56t = 0 - 8t =0 t = 0

- 8t (2 + - 7) = 0 2t – 7 = 0 t = 7/2 Ans: 3.5 seconds

3 0

4 years ago

Write an equation for the line that passes through (2, -2) and (4, -1)

Dahasolnce [82]

Answer: y=1/2x-3

Step-by-step explanation:

Slope-intercept form:y=mx+b

m=y2-y1/x2-x1

-1-(-2)/4-2=1/2

y=1/2x+b

-1=1/2(4)+b

-1=2+b

b=-3

6 0

4 years ago

You are playing a card game where the total points you earn depends on theasuits of the cards you draw. The total number of poin

Semmy [17]

3a + 3b-2c-2d

a= number of hearts

b= number of diamons

c= number of clubs

d= number of spades

if you draw 3hearts, 2 diamonds, and 1 spade, just replace a=3, b=2, c=0, d=1

3(3) + 3(2)-2(0)-2(1)

Multiply each term and add the results:

9+6-0-2 = 13

13 points

4 0

1 year ago