N and m are numbers 3 units apart

n + 3 = m
n = m - 3

Product:

m(m-3) = 108 (ANSWER)
m^2 - 3m - 108 = 0
(m-12)(m+9)=0

m = 12(greates) and -9(void)

n = m - 3
n = 12 - 3
n = 9

therefore the two numbers are 9 and 12

5 0

3 years ago

Read 2 more answers

Calculate AC if the perimeter of <br> ABC is 83 inches

Elza [17]

Since you already know BC is 23inches, you can minus it from 83 inches first.
Next, you have to realise that since angle ABC and angle ACB are both 65 degrees and equal, the triangle is an isosceles triangle it means that AC is equals to BC.
Thus, it means that you can divide (83-23) by 2, which is 30 inches

4 0

4 years ago

10 points, thank you in advance :)

Sophie [7]

Answer:

-3 + 10i

sqrt-100 = sqrt100i

sqrt100 = 10

So,

-3 + 10i

8 0

3 years ago

A random sample of n people selected from a large population will be asked whether they have read a novel in the past year. Let

Arisa [49]

Answer:

Option 2) A binomial variable with 25 independent trials

Step-by-step explanation:

We are given the following in the question:

Sample size = n

R: the number of people from the sample who answer yes to the question whether they have read a novel in the past year.

$var(R) = 6$

$p =0.40$

Then, the random variable R follows a binomial distribution:

There are n independent trials.
Each trial have two results either they have read the book or they have not read the book
Probability of success for each trial is same.

$var(R) = npq\\6 = n(0.4)(1-0.4)\\\\n = \dfrac{6}{0.4\times 0.6}\\\\n = 25$

Thus, R is a binomial variable with 25 independent trials.

6 0

4 years ago