Which statement describes the function y=ax^n when a=1 and n is odd

if a car travels 370.3 miles on 52 liters of gas, how many liters of.gas.will take to go 722 miles.if the car travels at the sam

blsea [12.9K]

Answer:

101.4 liters.

Step-by-step explanation:

First of all we will find mileage of car.

$\text{Mileage of car}=\frac{\text{Total distance traveled}}{\text{Total amount of fuel}}$

$\text{Mileage of car}=\frac{370.3\text{ miles}}{52\text{ liters gas}}$

$\text{Mileage of car}=7.12115\frac{\text{ miles}}{\text{ liters gas}}$

We can see that car travels at the rate of 7.12 miles per liter gas. Now let us find amount of gas needed to travel 722 miles at the same rate.

$\text{Amount of gas needed}=\frac{722}{7.12}$

$\text{Amount of gas needed}=101.388$

Therefore, it will take 101.4 liters of gas to travel 722 miles.

4 0

3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , 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 .

The margin of error is:

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

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

So

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

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

5 0

4 years ago

The green dots must make up a triangle 1/3 of the original picture PLZ HELP

omeli [17]

Consider Point P to be (0,0) count the grid lines to find the location of points A, B and C

A=. (-6,-3)

B = (-9,6)

C =(3,9)

Now the scale is 1/3. So divide all the points by 3 to get the new location and place the green dots on them:

A’=(-2,-1)

B’ =(-3,2)

C’ =(1,3)

4 0

3 years ago

Number 2 is what I'm stuck on

DENIUS [597]

Let's say that ground level is 0. When she goes down to the basement, she is going -12 feet since each flight of stairs is12 feet. Then she goes up 12 more feet= -12+12=0. She is back at ground level. Then she goes up another 12 feet= 0+12= 12. So I believe the answer is 12 feet.

5 0

4 years ago

in the State Legislature, there were 119 more members in the House of Representatives than in the Senate. If there were m member

Mamont248 [21]

M + (119 + m) = the total members in the State Legislature

6 0

3 years ago

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