Find the volume of the cake if the radius is 8 inches and the height is 5 inches.

Solve for x: . 3x – 1 = –2x + 39

zysi [14]

x = 8

Step-by-step explanation:

$3x-1=-2x+39$

Add 1 to both sides.

$3x=-2x+40$

Add 2x to both sides.

$5x=40$

Divide 40 by 5.

x = 8

5 0

3 years ago

Alayna worked 44 hours last week. Her hourly rate is $9.00. Alayna’s gross pay for last week was $

stiv31 [10]

You divide 44 by 9 and get 4.89 so u can round up either to the 8 or the 4 is you could get either 4.9 or 5

4 0

3 years ago

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Which of the following expressions is equal to 5 to the 6th power divided by 5 to the 5th power

Jobisdone [24]

Asey

remember
$\frac{x^m}{x^n}=x^{m-n}$
so

$\frac{5^6}{5^5}=5^{6-5}=5^1=5$

8 0

3 years ago

Read 2 more answers

Ex astea 2 plzzzzzzzz

schepotkina [342]

I’m doing a giveaway and show how to get rubux gift cards !

3 0

2 years ago

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A car insurance company has determined that 8% of all drivers were involved in a car accident last year. Among the 15 drivers li

svetlana [45]

Answer:

There is an 11.3% probability of getting 3 or more who were involved in a car accident last year.

Step-by-step explanation:

For each driver surveyed, there are only two possible outcomes. Either they were involved in a car accident last year, or they were not. This means that we solve this problem using binomial probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem

15 drivers are randomly selected, so $n = 15$ .

A success consists in finding a driver that was involved in an accident. A car insurance company has determined that 8% of all drivers were involved in a car accident last year. This means that $\pi = 0.08$ .

What is the probability of getting 3 or more who were involved in a car accident last year?

This is $P(X \geq 3)$ .

Either less than 3 were involved in a car accident, or 3 or more were. Each one has it's probabilities. The sum of these probabilities is decimal 1. So:

$P(X < 3) + P(X \geq 3) = 1$