Tanya and Gary drove 400 miles in 8 hours during a trip. What was their

A kitchen drawer has a Volume 1,125 cubic inches. The drawer is 15 inches long and 5 inches deep. What is the width of the drawe

Temka [501]

Answer:

The width of the drawer is $15\ in$

Step-by-step explanation:

we know that

The volume of the drawer is equal to

$V=LWH$

we have

$L=15\ in$

$H=5\ in$ -----> the deep of the drawer

$V=1,125\ in^{3}$

substitute the given values in the formula and solve for W

$1,125=(15)(W)(5)$

$1,125=(75)(W)$

$W=1,125/(75)$

$W=15\ in$

7 0

3 years ago

A standard roll of toilet paper is 304 feet long. If Bob walks at a steady rate of five feet per second, how much time does it t

PtichkaEL [24]

Answer:

1.01 minutes

Step-by-step explanation:

The length of the roll is given to be 304 ft, and Bob's velocity is 5ft/s.

Velocity is defined as the rate of change of displacement over time t:

$v=d/t\\$

The function can be expressed to make t the subject to calculate time taken by Bob;

$v=d/t\\\therefore t=d/v, d=304, v=5\\\\t=\frac{304}{5}\times \frac{1}{60}\ min\\\\t=1.01 \ min$

Hence, it takes Bob 1.01 minutes to walk the length of the roll.

6 0

2 years ago

The late fee for library books is $2.00 plus 15 cents each day for a book that is late.If Maria's fee for a late book was $3.20,

tekilochka [14]

First we will subtract $2 from $3.2 since that is late fee to get $1.2.

Now we divide $1.2 by $0.15 to get number of cents hence 8 days.

The answer is Maria is 8 days too late to hand over the book.

Hope this helps.

5 0

3 years ago

If a random sample of size nequals=6 is taken from a population, what is required in order to say that the sampling distributio

goldenfox [79]

Answer:

$\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})$

In order to satisfy this distribution we need that each observation on this case comes from a normal distribution, because since the sample size is not large enough we can't apply the central limit theorem.

Step-by-step explanation:

For this case we have that the sample size is n =6

The sample man is defined as :

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And we want a normal distribution for the sample mean

$\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})$

In order to satisfy this distribution we need that each observation on this case comes from a normal distribution, because since the sample size is not large enough we can't apply the central limit theorem.

So for this case we need to satisfy the following condition:

$X_i \sim N(\mu , \sigma), i=1,2,...,n$