All categories

3 years ago

A car race is 500 miles long. If each lap is 2 miles and 50 laps have already

Mathematics

1 answer:

Darya [45]3 years ago

7 0

Answer:

200 laps left

Step-by-step explanation:

50 * 2 = 100

100 miles have been completed

500 - 100 = 400

400 miles left

400 / 2 = 200

200 laps left

You might be interested in

According to government data, 75% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women

blagie [28]

Answer:

We are given that According to government data, 75% of employed women have never been married.

So, Probability of success = 0.75

So, Probability of failure = 1-0.75 = 0.25

If 15 employed women are randomly selected:

a. What is the probability that exactly 2 of them have never been married?

We will use binomial

Formula : $P(X=r) =^nC_r p^r q^{n-r}$

At x = 2

$P(X=r) =^{15}C_2 (0.75)^2 (0.25^{15-2}$

$P(X=2) =\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{13}$

$P(X=2) =8.8009 \times 10^{-7}$

b. That at most 2 of them have never been married?

At most two means at x = 0 ,1 , 2

So, $P(X=r) =^{15}C_0 (0.75)^0 (0.25^{15-0}+^{15}C_1 (0.75)^1 (0.25^{15-1}+^{15}C_2 (0.75)^2 (0.25^{15-2}$

$P(X=r) =(0.75)^0 (0.25^{15-0}+15 (0.75)^1 (0.25^{15-1}+\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{15-2})$

$P(X=r) =9.9439 \times 10^{-6}$

c. That at least 13 of them have been married?

P(x=13)+P(x=14)+P(x=15)

$={15}C_{13}(0.75)^{13} (0.25^{15-13})+{15}C_{14} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})$

$=\frac{15!}{13!(15-13)!}(0.75)^{13} (0.25^{15-13})+\frac{15!}{14!(15-14)!} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})$

$=0.2360$

8 0

3 years ago

Under her cell phone plan, Lily pays a flat cost of $55.50 per month and $4 per gigabyte. She

nlexa [21]

Answer:

Hi,can you please answer mine too it's question 9-12 I really need the answer because I have to pass it tomorrow morning:(

Step-by-step explanation:

about your question I'll put it in the comment section:)

4 0

2 years ago

S a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at t

Step2247 [10]

Two and a half hours.

8 0

3 years ago

The function f(x) = 350 - 125x represents how

Viefleur [7K]

After one hour, the plane is 225 miles from its destination

8 0

3 years ago

Read 2 more answers

What is 0.1% of 203.75 million?

lesya [120]

Answer:

O.1% of 203.75 million is 0.20375.

7 0

2 years ago

Read 2 more answers