Which of the following situations can be solved by using the equation 5t=175? Choose the TWO correct answers. A. An elephant eats 5 tons of food every day. After t number of days, the elephant will have eaten 175 tons of food.

B. Thomas won $175 in a contest. He decided to give his sister $5, and now Thomas has t dollars left from his winnings.

C. It takes Martinez t number of minutes to grade one math test. If Martinez has 5 tests to grade, he will work for total of 175 minutes.

D. Mary's bookshelf can hold a total of 175 books. Mary has 5 books on the top shelf, so she will be able to fit t number of books on the bottom shelf.

E. A painter is calculating the amount of paint he used on a project. He knows that he used 5 gallons of paint everyday for 175 days, so he used a total of t gallons of paint.

Please answer quick

A, and C

Step-by-step explanation:

When looking at questions like these, we want to look for a variable in the word problem when there is one in the equation. In a word problem variables usually follow words like every. The variable in answer choice A would be when it says "An elephant eats 5 tons of food every day". In C the the number of min is reverse multiplies by the number of tests.

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

At most 3 hours?

b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

What is the probability that it is less than the mean value by more than one standard deviation?

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

The cumulative distribution for this function is given by:

We know the value for the mean on this case we have that :

Solution to the problem

Part a

What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

At most 3 hours?

Part b

What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

The variance for the esponential distribution is given by:

And the deviation would be:

And the mean is given by

Two deviations correspond to 5.540, so we want this probability:

What is the probability that it is less than the mean value by more than one standard deviation?

For this case we want this probablity: