What is the inverse of the function h(x) = 5/2x+4?

Which expression is equivalent to 5^6

Vlad1618 [11]

Answer:

125*125

Step-by-step explanation:

5^6 means 6 5's multiplied together

5*5*5*5*5*5

25*5*5*5*5

125*5*5*5

125*125

6 0

3 years ago

Read 2 more answers

A 4-person relay team ran a race in 48 seconds. What was the<br> average time for each person?

lakkis [162]

Answer:12 secondes

Step-by-step explanation:48 seconds/ 4 people= 12 second

4 0

3 years ago

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20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. 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:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

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

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

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

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

So

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

3 years ago

What does this mean?<br> "9!"<br> I did not learn this yet.

Serhud [2]

Answer: 9 means "Parent watching"

hope this helps

6 0

3 years ago

Following a recent dramatic drop of 500 points in the Dow Jones Industrial Average, a poll conducted for the Associated Press fo

Strike441 [17]

Using statistical concepts, it is found that the term that best describes the number 92% is:

a. statistic.

If the information is taken from a sample, it is called a statistic.

If the information is taken from a population, it is called a parameter.

In this problem, 92% of those polled said that a year from now their family financial situation will be as good as it is today or better, that is, 92% of the sample, hence, it is a statistic, and option a is correct.

To learn more about the concepts of statistic and parameter, you can take a look at brainly.com/question/16840464

5 0

3 years ago