What is 85 into 7000

Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multip

defon

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

$4\text{ quarts}=1\text{ gallon}$

$1\text{ quarts}=\dfrac{1}{4}\text{ gallon}$

$6\text{ quarts}=\dfrac{6}{4}\text{ gallon}$

Here, 6 quarts is equal to $\dfrac{6}{4}$ gallon. It means we need to multiply 6 by 4 in $4\text{ quarts}=1\text{ gallon}$ to find the answer.

5 0

3 years ago

Suppose you walk 2 miles in 35 minutes. 4. write a proportion to find how far you would walk in an hour if you were to continue

Mrac [35]

Distance traveled in 35 minute = 2 miles.

So distance traveled in one minute = 2/35 (miles/minute)
= 0.0572 miles / minute.

So distance traveled in one hour , we can find by multiplying it from 60.Because in one hour there is 60 minute.

SO distance traveled in one hour = 0.0572 * 60
= 3.432 miles / hour.

7 0

3 years ago

a survey amony freshman at a certain university revealed that the number of hours spent studying the week before final exams was

Marat540 [252]

Answer:

Probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

Step-by-step explanation:

We are given that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15.

A sample of 36 students was selected.

Let $\bar X$ = sample average time spent studying

The z-score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = population mean hours spent studying = 25 hours

$\sigma$ = standard deviation = 15 hours

n = sample of students = 36

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the average time spent studying for the sample was between 29 and 30 hours studying is given by = P(29 hours < $\bar X$ < 30 hours)

P(29 hours < $\bar X$ < 30 hours) = P( $\bar X$ < 30 hours) - P( $\bar X$ $\leq$ 29 hours)

P( $\bar X$ < 30 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ < $\frac{ 30-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z < 2) = 0.97725

P( $\bar X$ $\leq$ 29 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ $\leq$ $\frac{ 29-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z $\leq$ 1.60) = 0.94520

So, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2 and x = 1.60 in the z table which has an area of 0.97725 and 0.94520 respectively.

Therefore, P(29 hours < $\bar X$ < 30 hours) = 0.97725 - 0.94520 = 0.0321

Hence, the probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

7 0

3 years ago

The graph shows the amount of money paid when purchasing bags of candy at the zoo:

Nimfa-mama [501]

The cost of zero bags of candy .

You are not going to pay for no bags of candy lol!!

8 0

3 years ago

What is the quotient of Negative 27.374 divided by 7.5

iren2701 [21]

Answer:

-3.65

Step-by-step explanation:

-27.374 / 7.5

≈ -3.65

Best of Luck!

3 0

3 years ago