Ask question

Ask question

All categories

3 years ago

13

Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mi

le per gallon, if necessary .

1 answer:

soldier1979 [14.2K]3 years ago

3 0

420/8.75=48 mpg...........
☺☺☺☺

You might be interested in

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would c

lara [203]

<span>$408.04 is the answers'
hope it helped!</span>

4 0

3 years ago

Read 2 more answers

An estimator is preparing a bid for a home remodeling project. She has determined that the new garage needs 324 feet of 2 × 10

Fudgin [204]

Find area of lumber 2 x 10 = 20
garage needs 324 feet, rec room needs 430, bonus room needs 283
324 + 430 + 283 = 1037
1037/20= 51.85 feet of lumber

hope this helps

5 0

3 years ago

Read 2 more answers

Complete the equation for the standard form of the line that has an x-intercept of -5 and a y-intercept of -4.

Verdich [7]

Answer:

Intercept form $\frac{x}{-5} + \frac{y}{-4} = 1$

The standard form of the equation of the line

4 x + 5 y +20 =0

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that x-intercept (a) = -5

and y-intercept (b) = -4

Intercept form

$\frac{x}{a} + \frac{y}{b} = 1$

$\frac{x}{-5} + \frac{y}{-4} = 1$

⇒ $\frac{4x+5y}{-20} = 1$

4 x + 5 y = -20

<u><em>Final answer:-</em></u>

The standard form of the equation of the line

4 x + 5 y +20 =0

7 0

3 years ago

Sarah is cutting ribbon for a craft project she has 4 feet of ribbon, which must be cut into 7 equal lengths. how long will each

monitta

1. I don’t know exactly what you need but 4 divided by 7 is about 0.57 feet or 6.86 inches
2. If you are allowed excess, then you will have 7 pieces each at 0.5 feet with half a foot left extra

4 0

3 years ago

A random sample from a normal population is obtained, and the data are given below. Find a 90% confidence interval for . 114 157

melamori03 [73]

Answer:

$103.160 \leq \sigma \leq 187.476$

And the upper bound rounded to the nearest integer would be 187.

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

Data given: 114 157 203 257 284 299 305 344 378 410 421 450 478 480 512 533 545

The confidence interval for the population variance $\sigma^2$ is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^{17} (x_i -\bar x)^2}{n-1}}$

And in order to find the sample mean we just need to use this formula:

$\bar x =\frac{\sum_{i=1}^n x_i}{n}$

The sample mean obtained on this case is $\bar x= 362.941$ and the deviation s=132.250

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=17-1=16$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a tabel to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,16)" "=CHISQ.INV(0.95,16)". so for this case the critical values are:

$\chi^2_{\alpha/2}=26.296$

$\chi^2_{1- \alpha/2}=7.962$

And replacing into the formula for the interval we got:

$\frac{(16)(132.250)^2}{26.296} \leq \sigma \leq \frac{(16)(132.250)^2}{7.962}$

$10641.959 \leq \sigma^2 \leq 35147.074$

Now we just take square root on both sides of the interval and we got:

$103.160 \leq \sigma \leq 187.476$

And the upper bound rounded to the nearest integer would be 187.

4 0

3 years ago