All categories

3 years ago

1. Billy's mother started a college fund on Billy's 8th birthday. She

1 answer:

7 0

When billy turns 18 he will have $3,099.6 in his account because .021 percent x $8,200= $172.20 per year x 18 years = $3,099.60

You might be interested in

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

aev [14]

Answer:

P(X < 3) = 0.7443

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 = 6, p = 0.3.

The above situation can be represented through Binomial distribution;

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

where, n = number of trials (samples) taken = 6

r = number of success = less than 3

p = probability of success which in our question is 0.3.

LET X = a random variable

So, it means X ~ $Binom(n=6, p=0.3)$

Now, Probability that X is less than 3 = P(X < 3)

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

= $\binom{6}{0}0.3^{0} (1-0.3)^{6-0}+ \binom{6}{1}0.3^{1} (1-0.3)^{6-1}+ \binom{6}{2}0.3^{2} (1-0.3)^{6-2}$

= $1 \times 1 \times 0.7^{6} +6 \times 0.3^{1} \times 0.7^{5} +15 \times 0.3^{2} \times 0.7^{4}$

= 0.11765 + 0.30253 + 0.32414 = 0.7443

Therefore, P(X < 3) = 0.7443.

5 0

3 years ago

What is 5682 divided by 4

Sophie [7]

5682 divided by 4 is 1420 remainder 2 Hope that helped Have a good day! :-)

6 0

3 years ago

Read 2 more answers

Confused on my math work.

MrRissso [65]

Answer:

The right answer is the last option, 12,12.

Step-by-step explanation:

$GI^2=FI*IH\\ GI^2 = 7*21\\ GI = \sqrt{147}$

$\sqrt{147} = 12,124... = 12,12$

7 0

3 years ago

Imagine each letter of the word "Mathematical" is written on individual pieces of paper and placed in a bag. Should you pick a r

Colt1911 [192]

Answer: 5/12

Step-by-step explanation:

The word "Mathematical" has 12 letters, and 5 of them are vowels.

8 0

3 years ago

Read 2 more answers

Use the properties of exponents to simplify the expression: 2532

Vlad1618 [11]

Question

Use the properties of exponents to simplify the expression: $25^{\frac{3}{2}}$

Answer:

$25^{\frac{3}{2}} = 125$ \

Step-by-step explanation:

Given

$25^{\frac{3}{2}}$

Required

Simplify

$25^{\frac{3}{2}}$

Apply the following law of indices

$a^{\frac{m}{n}} = (a^m)^{\frac{1}{n}}$

So, the expression becomes

$25^{\frac{3}{2}} = (25^3)^{\frac{1}{2}}$

Express $25^3$ as 15625

$25^{\frac{3}{2}} = (15625)^{\frac{1}{2}}$

In indices: $a^{\frac{1}{2}} = \sqrt a$

So, we have:

$25^{\frac{3}{2}} = \sqrt{15625$

$25^{\frac{3}{2}} = 125$

6 0

3 years ago