Answer:
b. A binomial variable with 25 independent trials
Step-by-step explanation:
The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.
we are given that variance of R=6 and p=probability of success=0.4.
We know that variance of binomial distribution is
Variance=npq
where q=1-p=1-0.4=0.6.
By putting the values in variance formula, we can get the value of n.
6=n*0.4*0.6
6=0.24*n
n=6/0.24
n=25
Hence, random variable R is a binomial variable with 25 independent trials.
Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
In this item, we let x be the number of pairs of socks and y be the number of blouses that were purchased by Hanna. The total amount that is spent for the socks and blouses are 2.99x and 12.99y, respectively. The equation that would best describe the given scenario is,
2.99x + 12.99y = 43.92
You need to set it up as a fraction and make the fractions equal each other.
2/3 (2 of their books for 3 of yours)
x/18 (x amount of their books for 18 of yours)
(2/3)=(x/18)
multiply both sides by 18
and you get
36/3 which reduces to 12
so your answer is 12
Hey there!
Write a proportion. 8/5=32/x. Cross multiply. You get 8x=160. You have to isolate x, so divide each side by 8. X=20. Since x is by itself, you have your answer. The answer is B. Another way to do this is to see how much it takes to get from 8 to 32. You would multiply by 4. So multiply 5 by 4 to get 20.
I hope this helps!
