All categories

4 years ago

Jimmy and his family are on their way to visit some family friends who live

Mathematics

2 answers:

zhuklara [117]4 years ago

6 0

Answer:

The hours it take to reach their family's friend home is 2.5 hours

Step-by-step explanation:

The distance the family is expected to cover is 780 miles. They expected to cover that distance within 3 days. Let us divide the trip into 3 sections.

Day 1

speed = distance/time

time = 4 hrs

speed = 60 miles per hr

distance = speed × time = 4 × 60 = 240 miles

Day 2

speed = distance/time

time = 6 hrs

speed = 65 miles per hr

distance = speed × time = 6 × 65 = 390 miles

Day 3

speed = distance/time

time = ?

speed = 60 miles per hr

distance = 780 - 240 - 390 = 150 miles

time = distance/speed

time = 150/60

time = 2.5

The hours it take to reach their family's friend home is 2.5 hours

ollegr [7]4 years ago

5 0

It will take 2 and a half hours

You might be interested in

2 ( x-4 ) = 5/6 ( x+6 ) -6

givi [52]

Hopes this helps:

Answer: x = 6

3 0

3 years ago

Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. (a) Descri

OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

$\mu = 74$

and

$\sigma = 6$

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

$\mu = 74$

The standard error of the means becomes the standard deviation of the sampling distribution.

$\sigma_ { \bar X } = \frac{ \sigma}{ \sqrt{n} } \\ \sigma_ { \bar X } = \frac{ 6}{ \sqrt{36} } = 1$

Part b) We want to find

$P(\bar X \:>\:75.9)$

We need to convert to z-score.

$P(\bar X \:>\:75.9) = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: 1.9) \\ = 0.0287$

Part c)

We want to find

$P(\bar X \: < \:71.95)$

We convert to z-score and use the normal distribution table to find the corresponding area.

$P(\bar X \: < \:71.95) = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: - 2.05) \\ = 0.0202$

Part d)

We want to find :

$P(73\:$

We convert to z-scores and again use the standard normal distribution table.

$P( \frac{73 - 74}{1} \:< \: z$

5 0

3 years ago

Express 50p as a fraction of £8<br> Give your answer in its simplest form.

Sonbull [250]

Answer:

1/16

Step-by-step explanation:

Convert 50p to pound sterling.

50p = £0.5

Divide £0.5 with £8.

0.5/8

Simplify the fraction.

0.5×2/8×2

1/16

5 0

3 years ago

Read 2 more answers

Molly is converting 2 yards to millimeters. will the number of millimeters be fewer than or greater than 2?

Maru [420]

<span>Greater than, because millimeters are smaller than yards. i had this question 2</span>

8 0

3 years ago

A probability experiment has two steps. There are two possible results for the first step, call them "A" and "B". If the result

denis23 [38]

Answer:

Step-by-step explanation:

Two possible results A and B

If the result for the first step was "A", then there would be 4 possible results for the second step.

Let us say the 4 possible results are 1,2 ,3,4

So, Possible outcomes for this case = {A1,A2,A3,A4} =4

If the result for the first step was "B", then there would be 16 possible results for the second step.

Let us say the 16 possible results are 1,2 ,3,4,....,16

So, Possible outcomes for this case = {B1,B2,B3,B4,....,B16} =16

So, Total possible outcomes = 16+4 = 20

Hence there are 20 possible outcomes for this experiment.

8 0

3 years ago