The point C(-2, -4) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, C′?

Which power can you write to represent the volume of the cube shown? Enter the power as an expression

Dmitriy789 [7]

I believe your first answer would be 3, and your second would be 1/8, but I'm not sure. I hope this helps!

5 0

3 years ago

0.96=1-1/k^2. How do i find k?

gayaneshka [121]

Answer:

k=5

Step-by-step explanation:

0.96-1 = -1/k^2

-1/-0.04 = k^2

25=k^2

k=√25

k=5

5 0

3 years ago

Joshua sells 13 toys per hour. Sarah sells 16 toys per hour. This week Sarah sold an additional 20 toys. Write an expression tha

snow_tiger [21]

Assuming that they each work 24hrs a day 7 days a week (I haven't got anything else to go on...sorry) to find the total for Joshua you must first multiply 13x24 = 312, for the toys sold per day, and then 312x7 = 2184, for the number of days per week. so j = 2184
then for Sarah's total we must first multiply 16x24 = 384 for the toys sold per day and then 384x7 = 2688 for the toys sold per week. and 2688+20 = 2708 for the extra 20 she sold. so s = 2708

REMEMBER, THIS IS ASSUMING THEY WORK 24/7 MEANING THEY WORK 168 HOURS PER WEEK.

IF YOU NEED A DIFFERENT ANSWER LET ME KNOW AND I'LL TRY TO FIX IT. IF YOU LET ME KNOW THE HOURS THEY WORKED I CAN DO TAT FOR YOU AS WELL.

8 0

4 years ago

(problem 6.13 page 97) Consider a population in which 80% of males and 60% of females are employed. In this population, 55% of i

svp [43]

Answer:

There is a 50.77% probability that no more than one of those chosen is not employed.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will be employed, or they will not. 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.

We have these following percentages:

55% of the individuals are female.

So 45% of the individuals are male.

80% of males are employed. So 20% of males are unemployed.

60% of females are employed. So 40% of females are unemployed.

If I pick five persons at random from this population, what is the probability that no more than one of those chosen is not employed?

Using the binomial distribution, p is the probability that a person is unemployed. 40% of the females and 20% of the males are unemployed. The population is 55% females and 45% males. So

$p = 0.4*0.55 + 0.2*0.45 = 0.31$