Can someone please explain to me step by step how to do these

Mathematics

1 answer:

alexira [117]2 years ago

8 0

2) 1/12 times 3/5 = 1*3 = 3 12*5 = 60 3/60 3 and sixty divided by 3
= 1/20 ANSWER

3) (-5/8)(-12/5) = the two 5's cancel each other. This becomes (-1/5)(-12/5) = 12/8 12 and 8 divided by 4
= 3/2 ANSWER

4) 6/7 divided by 8/7 becomes 6/7 times 7/8
7's cancel each other becomes 6/8
6 and 8 divided by 2
= 3/4 ANSWER

You might be interested in

a parallelogram has a base of 12 inches. If its area is 96 square inches, find the height of the parallelogram.

notsponge [240]

A=bh => h=A/b

A=96 in^2
b=12 in
h=A/B=96 in^2/12 in = 96/12 in = 8 in.

Height = 8 inches

3 0

2 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

Lubov Fominskaja [6]

Answer:

P(X ≤ 3) = 0.9933.

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success

Also, given n = 5, p =0.2.

The above situation can be represented through binomial distribution;

$P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........$

where, n = number of samples (trials) taken = 5

r = number of success = less than equal to 3

p = probability of success which in our question is 0.20.

Let X = A random variable

So, X ~ Binom(n = 5, p = 0.20)

Now, the probability that X is less than and equal to 3 is given by = P(X ≤ 3)

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= $\binom{5}{0} \times 0.20^{0} \times (1-0.20)^{5-0}+\binom{5}{1} \times 0.20^{1} \times (1-0.20)^{5-1}+\binom{5}{2} \times 0.20^{2} \times (1-0.20)^{5-2}+\binom{5}{3} \times 0.20^{3} \times (1-0.20)^{5-3}$