Explain -3 1/3, 3.3, -3 and 3/4, 3.5 from least to greatest

The highest point in colorado is mount elbert, at 14,433 feet.About how many miles is that

Juli2301 [7.4K]

2.7335227 because you know how ,any ft. are in 1 mile so you just multiply :)

8 0

3 years ago

Graph the line that has a slope of −13 and contains the point (3,−7)

yuradex [85]

From the origin you have to go 3 right put a dot and seven down put a dot, 13 down and one right ? Not sure

6 0

3 years ago

An employee’s new salary is $26.355 after getting a 5% raise. What was the salary before the increase pay?

Serga [27]

Answer:

$25.03725

Step-by-step explanation:

<u>Step 1: Multiply both sides by %5 to get the raise</u>

26.355 * %5 is same as 26.355 * 0.05

$1.31775 is the raise

<u>Step 2: Subtract the raise from the new salary</u>

26.355 - 1.31775

25.03725

Answer: $25.03725

5 0

3 years ago

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution 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.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

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

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$