All categories

3 years ago

Allen runs 8 miles in 3 hours at a steady pace. how long does it take him to run 3 miles

Mathematics

2 answers:

Cerrena [4.2K]3 years ago

5 0

It takes Allen 1 1/8 hours to run 3 miles.

Amiraneli [1.4K]3 years ago

4 0

$\begin{array}{ccc}8miles&-&3hours\\\\3miles&-&xhours\end{array}\\\\8x=3\cdot 3\\\\8x=9\ \ \ \ /:8\\\\x=\frac{9}{8}\\\\x=1\frac{1}{8}\ (h)$

$v=\frac{8}{3}\ mph\\\\s=3miles\\\\t=s:v\\\\t=3:\frac{8}{3}=3\cdot\frac{3}{8}=\frac{3}{1}\cdot\frac{3}{8}=\frac{9}{8}=1\frac{1}{8}\ (h)$

You might be interested in

Aaron has $4,500 saved to pay for an ATV that costs $7,500.

Komok [63]

Answer:

i think its 0.9994225

Step-by-step explanation:

just subtract the 8.75136.24 bye 7.75193. and there you go.

6 0

3 years ago

A concrete patio is 5 2/3 feet wide. It has an area of 36 5/6 square feet. What is the length of the concrete patio

Aneli [31]

The length of the concrete patio is 6 1/2.
I got this answer by dividing 36 5/6 and 5 2/3. Therefore, answer is 6 1/2

4 0

3 years ago

A sample survey is designed to estimate the proportion of sports utility vehicles being driven in the state of California. A ran

mart [117]

Answer:

a) The 95% confidence interval would be given (0.070;0.121).

b) "increase the sample size n"

"decrease za/2 by decreasing the confidence"

Step-by-step explanation:

Notation and definitions

$X=48$ number of vehicles classified as sports utility.

$n=500$ random sample taken

$\hat p=\frac{48}{500}=0.096$ estimated proportion of vehicles classified as sports utility vehicles.

$p$ true population proportion of vehicles classified as sports utility vehicles.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)

The confidence interval would be given by this formula :

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.5=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.096 - 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.070$

$0.096 + 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.121$

And the 95% confidence interval would be given (0.070;0.121).

We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .

(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)

For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate

7 0

3 years ago

what is the equation for the volume of a cylinder? I think is v=pi × r^2 * h just asking for clarification

lys-0071 [83]

Answer:

V=pi multiplied by r^2 times height

Step-by-step explanation:

3 0

3 years ago

The scatterplot shows the average monthly outside temperature and the monthly electricity cost.

Vanyuwa [196]

Answer: 600

Step-by-step explanation:

I just took the test

8 0

2 years ago