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oksano4ka [1.4K]
3 years ago
8

It costs $60 per hour to rent a jet ski. The total cost of a jet ski rental

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

y = 60x + 20

Step-by-step explanation:

The number of hours that we ski is a variable cost where each hour costs $60. On top of that, we have a fixed cost of $20 which stays the same no matter how long we ski.

So we can use an equation to find the totla cost C given the number of hours t as follows:

C(t) = 60t + 20

We can use this equation to find the cost of a skiing session by plugging in some value for t. For example, if we ski for 3 hours:

C(3) = 60(3) + 20 = $200

The equation can also be written using x and y and mean the same thing.

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In a random sample of fivefive microwave​ ovens, the mean repair cost was ​$75.0075.00 and the standard deviation was ​$13.0013.
Radda [10]
<h2>Answer with explanation:</h2>

As per given , we have

Sample size : n= 5

Degree pf freedom = : df= 5-1=4

\mu=\$75.00

\sigma=\$13.00

Significance level for 90% confidence = \alpha=1-0.90=0.1

Using t-value table , t-critical value for 90% confidence:

t_{\alpha/2, df}=t_{0.05, 4}=2.132.

Margin of error of \mu: E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\(2.132)\dfrac{13}{\sqrt{5}}=12.3949720129\approx12.39

Interpretation : The repair cost will be within $12.39 of the real population mean value \mu 90% of the time.

7 0
3 years ago
Find the area of the shaded region
kogti [31]

Answer:

  7. 183 in^2

  8. 192.42 m^2

  9. 239.4 ft^2

Step-by-step explanation:

7. The figure seems most easily seen as a trapezoid with a triangle removed. The trapezoid has bases of 26 and 14, and a height of 15. So, its area is ...

  A = (1/2)(b1 +b2)(h) = (1/2)(26+14)(15) = 300 . . . . . . square inches

The triangle has a base of 26 and a height of 9, so an area of ...

  A = (1/2)bh = (1/2)(26)(9) = 117 . . . . . . square inches

Then the shaded area is ...

  300 in^2 -117 in^2 = 183 in^2

__

8. The area of the donut can be found different ways. One way is to multiply the width of the shaded area (3.5 m) by the circumference of its centerline.

The centerline diameter is 21 m - 3.5 m = 17.5 m, so the circumference of that circle is ...

  C = πd = π(17.5 m) = 17.5π m

Then the area of the shaded part is ...

  (3.5 m)(17.5π m) = 61.25π m^2 ≈ 192.42 m^2

__

9. As in problem 7, this can be treated as a parallelogram less a triangle. Here, we need to do a little work to find the area of the triangle.

The triangle of interest is a right triangle with hypotenuse 23.8 ft and one leg 21 ft. The Pythagorean theorem can be used to find the other leg:

  h = √(23.8^2 -21^2) = √125.44 = 11.2

Then the area of the triangle is ...

  A = (1/2)bh = (1/2)(21)(11.2) = 117.6 . . . ft^2

The area of the parallelogram (including the triangle) is ...

  A = bh = (23.8 ft)(15 ft) = 357 ft^2

So, the shaded area is the difference ...

  357 ft^2 -117.6 ft^2 = 239.4 ft^2

_____

<em>Comment on significant digits</em>

The area in problem 8 may be considered to be 192.325 m^2 if you are required to use 3.14 as the value for pi. Since that value is only good to 3 significant digits, it is quite pointless to report the answer to 6 significant digits when using that value. It is quite reasonable to use 192 m^2 for the answer, especially if you're required to round to whole numbers.

8 0
3 years ago
-4 -2 0 2 4 form the set of even integers true or false
GenaCL600 [577]

Answer:

True

Step-by-step explanation:

An integer is anything that's not a fraction/decimal, and being even is common knowledge

3 0
3 years ago
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What is the sum of (x - 8) - (2x + 2)
Dahasolnce [82]

Answer:

the answer is 4

7 0
2 years ago
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How many solutions does the equation −2y + 2y + 3 = 3 have? One Zero Infinitely many Three
AnnZ [28]

Answer:

Infinitely many solutions.

Step-by-step explanation:

In the equation −2y + 2y + 3 = 3  we see only one variable, and that variable is of the first power.  Ordinarily, we'd say that this equation will have 1 solution.  However, if we combine like terms, we get 0 + 3 = 3, or 0 = 0, which is true for any and all y values.  Infinitely many solutions.

3 0
3 years ago
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