Ask question

Ask question

All categories

3 years ago

9

Two friends, Neil and Charlie, are going to depart from their houses and ride their bikes towards each other until they meet, an

d then have a picnic. Neil can bike 11 miles per hour, while Charlie can bike 9 miles per hour. If their houses are connected by a straight road that is 6 miles long, in how long will the two meet?

1 answer:

n200080 [17]3 years ago

6 0

Answer:

0.3 hour or 18 minutes

Step-by-step explanation:

How long means, we are to calculate the time(t)

Hence,

Speed × time = Distance

For Neil , 11 × t

For Charlie = 9 × t

11t + 9t = 6

20t = 6

t = 6/20

t = 0.3 hour

Converting to minutes

1 hour = 60 minutes

0.3 hour = x

x = 0.3 × 60 minutes

x = 18 minutes

Therefore, it will take 0.3 hour or 18 minutes for these two to meet.

You might be interested in

A teacher offers 8 extra credit assignments. what is the domain of this graph?

UkoKoshka [18]

Answer:

C

Step-by-step explanation:

This is the shows the constant value on the X-axis

3 0

3 years ago

hector and Alex traded video games. Alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3

Anuta_ua [19.1K]

Answer:

he started with either 20 or 15 i probably thought about this way to much so this is the best i could come up with

Step-by-step explanation:

5 0

3 years ago

( 20points please ) -22+(-16)=

hjlf

-22+(-16)

-22-16= -38

5 0

4 years ago

Read 2 more answers

If f(x) = (x - 1) / (x + 2), then the range of f is given by the interval

Veseljchak [2.6K]

Answer:

B and D

Step-by-step explanation:

Have a great day!

/(OvO)/ *.':☆ *': .✧

3 0

3 years ago

Read 2 more answers

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

6 0

3 years ago