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3 years ago

A) Increase 30 by 13%

Mathematics

1 answer:

djverab [1.8K]3 years ago

8 0

A) multiplier = 1.13
30 x 1.13 = 33.9
B) multiplier = 0.85
250 x 0.8 = 200
C) multiplier = 0.72
825 x 0.72 = 594

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Can you help me with this problem i need to go to sleep for school tmrrr

ELEN [110]

Answer:

1.08

Step-by-step explanation:Simplify the radical by breaking the radicand up into a product of known factors.

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3 years ago

Read 2 more answers

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

the surface area of a sphere is 1,017.36 square inches.what is the volume of the sphere? use 3.14 for pi

emmasim [6.3K]

Answer:

Area = 254.34 inches ³

Step-by-step explanation:

The formula to find the surface area of a sphere is:

$SA = 4\pi r^{2}$

To find the volume of the sphere, we first need to figure out the radius ( $r$ ) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. $(1017.36 in^{2})$