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const2013 [10]
3 years ago
6

In planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San

Diego. You want to return to San Francisco via Las Vegas, Death Valley, and Yosemite National Park. This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two options advertised by Hertz:
Toyota Camry, 40 mpg highway, costs $448.27 plus taxes and fees, totaling $533.65.

Toyota Prius Hybrid, 49 mpg highway, costs $610.58 plus taxes and fees, totaling $772.88.

In both cases, you must purchase gasoline, which costs $4.00 per gallon in California.


Camry: Total gasoline cost is?
Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

The gas cost for the Camry will be $ 150.

Step-by-step explanation:

Since in planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San Diego, and you want to return to San Francisco via Las Vegas, Death Valley, and Yosemite National Park, and this trip covers approximately 1,500 miles, and you plan to return the car with a full tank of gasoline and are considering two options advertised by Hertz:

Toyota Camry, 40 mpg highway, costs $ 448.27 plus taxes and fees, totaling $ 533.65.

Toyota Prius Hybrid, 49 mpg highway, costs $ 610.58 plus taxes and fees, totaling $ 772.88.

In both cases, you must purchase gasoline, which costs $ 4.00 per gallon in California.

To determine the total cost of gasoline for the Camry, the following calculation must be performed:

(1,500 / 40) x 4 = X

37.5 x 4 = X

150 = X

Therefore, the gas cost for the Camry will be $ 150.

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1. The quality control manager at a light-bulb factory needs to estimate the mean life of a new type of light-bulb. The populati
ad-work [718]

Answer:

The 95% confidence interval estimate of the population mean life of the new light-bulb is (469.21 hours, 510.79 hours).

This confidence level means that we are 95% sure that the true population mean life of the new light bulb is in this interval.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now we find M as such:

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the length of the sample. So:

M = 1.96*\frac{60}{\sqrt{32}} = 20.79

The lower end of the interval is the mean subtracted by M. So it is 490 - 20.79 = 469.21 hours.

The upper end of the interval is the mean added to M. So it is 490 + 20.79 = 510.79 hours.

The 95% confidence interval estimate of the population mean life of the new light-bulb is (469.21 hours, 510.79 hours).

This confidence level means that we are 95% sure that the true population mean life of the new light bulb is in this interval.

6 0
4 years ago
During Emma's trip across the
Serga [27]

Answer:

Emma traveled on average 315 miles per day.

Step-by-step explanation:

1,890 ÷ 6 = 315

3 0
3 years ago
The points (4,0) and (7,6) lie on a particular line. What is its equation in slope-intercept form of this line?
bulgar [2K]

Answer:

y=2x-8

Step-by-step explanation:

To write the equation in slope intercept form y=mx+b you need a slope and the y-intercept. We will calculate the slope and then substitute it and a point into the point slope form y-y_1=m(x-x_1). Simplifying this form will result in slope intercept form.

Calculate the slope by subtracting the y values and x values of the points.

m=\frac{6-0}{7-4} = \frac{6}{3}=2

The slope is 2. Choose one point to use the slope with in the point slope form. Then substitute and simplify.

y-0 = 2(x-4)\\y=2x-8


5 0
3 years ago
A small box of gumball machine bubble gum has 864 pieces of gum. A large box has 500 more pieces than the small box. How many pi
Travka [436]
864+500= 1364 rounded to the nearest 10th it would be 1400
8 0
3 years ago
A circle with radius 16 centimeters is inscribed in a square.Which is the area of the shaded region? A. 804.25 square feet B. 10
Dmitrij [34]

<u><em>Answer:</em></u>

Area of shaded region = 220.16 ft²

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

The diagram associated with this question is shown in the attached image

Unit in diagram is ft, so I'll use this unit in the answer

We are given that a circle with radius 16 ft is inscribed in a square

We know that the radius of an inscribed circle in a square is equivalent to half the length of the side of the square

<u>This means that:</u>

side length of the square = 2 × radius = 2 × 16 = 32 ft

<u>From the diagram, we can note that:</u>

area of shaded region = area of square - area of circle .............> equation I

<u>1- getting area of square:</u>

Area of a square is the square of its side length

<u>This means that:</u>

Area of square = (32)² = 1024 ft²

<u>2- getting the area of the circle:</u>

Area of circle = πr² = 3.14 × (16)² = 803.84 ft²

<u>3- getting area of shaded region:</u>

<u>Use equation I</u>

area of shaded region = area of square - area of circle

area of shaded region = 1024 - 803.84 = 220.16 ft²

Hope this helps :)

5 0
3 years ago
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