Two sides of a right triangle have lengths of 60 feet and 75 feet.

Mathematics

1 answer:

Nookie1986 [14]3 years ago

7 0

Answer:

https://www.omnicalculator.com/math/hypotenuse

Step-by-step explanation:

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Rachel mows 5 lawns in 8 hours. At this rate, how many lawns can she mow in 40 ?hours?

Ivanshal [37]

Answer: 25 lawns will be mowed in 40hrs

Step-by-step explanation:

First step: we turn the word problem into an equation:

From the information given;

5 lawns = 8 hours

X lawns = 40 hours

We cross multiply:

8x = 40 x 5

8x = 200

Divide both sides by 8

x = 200/8

= 25

5 0

3 years ago

Subtract and simplify answer.

Schach [20]

$(s^2+5st-9t^2)-(2s^2-2st+2t^2)=\\\\=s^2+5st-9t^2-2s^2+2st-2t^2=\\\\=s^2-2s^2-9t^2-2t^2+5st+2st=\boxed{-s^2-11t^2+7st}$

7 0

3 years ago

Read 2 more answers

A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th

baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

$p = 0.553, n = 10$

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$