Ask question

Ask question

All categories

2 years ago

14

Which of the following is equivalent to log 7^ 50 rounded to three decimal places?

1 answer:

otez555 [7]2 years ago

4 0

7^50
= 1.798 × 10^42

i am a mathematics teacher. if anything to ask please pm me

You might be interested in

One path has a diameter of 120 yards, and the other has a radius of 45 yards. How much farther can Sarah walk on the longer path

MArishka [77]

Answer:

First find the circumference by pi r squared.

3 0

3 years ago

A space shuttle orbits Earth at a speed of 21,000 km/hr. How far will it travel in 5 hours?

tresset_1 [31]

<span>21,000*5
since it travels 21,000 per hour and there is five hours. it's just simple substitution.
105,000 is the correct answer.</span>

7 0

2 years ago

Read 2 more answers

I’m really confused by this and need help?

AlekseyPX

Divide 150 by 50 to get 3

3 0

2 years ago

Read 2 more answers

A locker requires a three-digit code to open the lock. The code must contain one letter and two numbers, and no letter or number

Bad White [126]

not sure what the dots are supposed to mean..

but i think it's 6B5??

6 0

2 years ago

Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer

aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used 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.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that $p = 0.7$

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that $n = 5$

a. All five qualify for the favorable rate

This is P(X = 5). So

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

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

$P(X \geq 4) = P(X = 4) + P(X = 5)$

So

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

$P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

$P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283$

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0

3 years ago