Ask question

Ask question

All categories

2 years ago

13

Mr Jones has a new car. The manufacturer says that the car should get about 28 miles per fall on in the city. About how many mil

es can Mr. Jones drive on 11.5 gallons of gas? At $2.89 per gallon,how much would that cost?

1 answer:

Serga [27]2 years ago

7 0

$61.23 is the answer if i did it right might have to double check

You might be interested in

A chestnut falls out of a tree 45 feet above the ground. Use the vertical motion model, H=-16t^2+vt+s s to find how long it take

valentinak56 [21]

Answer:

1.7 seconds

Step-by-step explanation:

we have

$H=-16t^2+vt+s$

where

v is the initial velocity (in feet per second)

s represents the initial height (in feet)

In this problem we have

$v=0$ ---> because the object is dropped

$s=45\ ft$

substitute

$H=-16t^2+45$

Remember that

When the chestnut hit the ground the value of H is equal to zero

so

For H=0

$-16t^2+45=0$

solve for t

$16t^2=45\\t^2=2.8125\\t=\pm1.7\ sec$

therefore

The solution is t=1.7 sec

7 0

2 years ago

Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QM.

pav-90 [236]

Just add them
QM+MR=QR
16+x+2(x+2)=QR
16+x+2x+4=QR
20+3x=QR

6 0

2 years ago

One<br> Find the product:<br> (n - 5)(n-1)

Elina [12.6K]

The answer is n^2-6n+5

4 0

3 years ago

Read 2 more answers

If Upper X overbar equals 62, Upper S equals 8, and n equals 36, and assuming that the population is normally distributed, c

marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

Step-by-step explanation:

Previous concepts

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".

$\bar X=62$ represent the sample mean

$\mu$ population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size

Part a: Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=36-1=35$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that $t_{\alpha/2}=2.72$

Now we have everything in order to replace into formula (1):

$62-2.72\frac{8}{\sqrt{36}}=58.373$

$62+2.72\frac{8}{\sqrt{36}}=65.627$

So on this case the 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0

3 years ago

To find the surface area of the pyramid, in square inches, Vikram wrote (33.2) (34.2) + 4 (one-half (34.2) (28.4)). What error d

madam [21]

Answer:

B. He used the wrong expression to represent the area of the base of the pyramid.

Step-by-step explanation:

Given

See attachment for pyramid

$Area = (33.2)(34.2) + 4 * \frac{1}{2} * 34.4 * 28.4$

Required

Vikram's error

The surface area of a square pyramid is:

$Area = Base\ Area + 4 * Area \triangle$

Where

$Base\ Area = Length * Length$

$Base\ Area = 34.2 * 34.2$

$4 * Area \triangle = 4 * \frac{1}{2} * Base * Height$

$4 * Area \triangle = 4 * \frac{1}{2} * 34.2 * 28.4$

So:

$Area = Base\ Area + 4 * Area \triangle$

$Area = 34.2 * 34.2 + 4 * \frac{1}{2} * 34.2 * 28.4$

By comparing the calculated expression with

$Area = (33.2)(34.2) + 4 * \frac{1}{2} * 34.4 * 28.4$

Option (b) is correct

3 0

2 years ago