Simplify the radical expression square root of 64y^10h^5/16y^12h^5

1 answer:

6 0

We assume the variables y and h to be positive.

$\sqrt{\dfrac{64y^{10}h^{5}}{16y^{12}h^{5}}} =$

$= \sqrt{\dfrac{64}{16} \times \dfrac{y^{10}}{y^{12}} \times \dfrac{h^{5}}{h^{5}}}$

$= \sqrt{4 \times \dfrac{1}{y^{2}} \times 1}$

$= \sqrt{\dfrac{4}{y^{2}}}$

$= \dfrac{2}{y}$

You might be interested in

If an object is dropped from 100 feet in the air and air resistance is ignored, the object will fall at a rate that can be model

ELEN [110]

every foot is a second hope that helps

6 0

3 years ago

The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent.

serious [3.7K]

Answer:

a) 0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

b) The expected number of at-bats until the next home run is 6.25.

Step-by-step explanation:

For each at bat, there are two possible outcomes. Either it is a home run, or it is not. The probability of an at bat resulting in a home run is independent of any other at-bat, 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.

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