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nikdorinn [45]
3 years ago
15

A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 pl

us $2.75 per hour to rent the same jet ski.
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.

A) 2
B)10
C)4
D) 8
Mathematics
1 answer:
KatRina [158]3 years ago
5 0
Let the number of hours the ski jet was rented be x, then
For company A, Cost = 2.25x + 24
For company B, Cost = 2.75x + 23

Fro the cost to be the same: 2.25x + 24 = 2.75x + 23
2.75x - 2.25x = 24 - 23
0.5x = 1
x = 1/0.5 = 2
x = 2

The cost are the same after 2 hours.
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const2013 [10]

Answer:

\bar x = 82

\sigma =  9.64

Step-by-step explanation:

Given

n = 12

87\ 91\ 86\ 82\ 72\ 91\ 60\ 77\ 80\ 79\ 83\ 96

Solving (a); Point estimate of mean

To do this, we simply calculate the sample mean

\bar x = \frac{\sum x}{n}

\bar x = \frac{87+ 91+ 86+ 82+72+91+60+77+80+79+83+96}{12}

\bar x = \frac{984}{12}

\bar x = 82

Solving (b); Point estimate of standard deviation

To do this, we simply calculate the sample standard deviation

\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n - 1}

\sigma = \sqrt\frac{(87-82)^2+ (91-82)^2+ ....+ (79-82)^2+ (83-82)^2+ (96-82)^2}{12-1}

\sigma = \sqrt\frac{1022}{11}

\sigma = \sqrt{92.91}

\sigma =  9.64

<em>Note that: The sample mean and the sample standard deviation are the best point estimators for the mean and the standard deviation, respectively.</em>

<em>Hence, the need to solve for sample mean and sample standard deviation</em>

3 0
3 years ago
A newspaper used a chart resembling the one to the right to illustrate the rising amounts that a video rental company spends to
Dmitry [639]

This question is incomplete- no bar chart was included.  

The complete question was gotten from google.

A newspaper used a chart resembling the one to the right to illustrate the rising amounts that a video rental company spends to provide streaming content online. Is this the bar chart of a categorical​ variable, or is it a timeplot that uses bars to show the​ data?

Open the attachment below to see the bar chart'

Answer:

A newspaper used a chart resembling the one to the right to illustrate the rising amounts that a video rental company spends to provide streaming content online. Is this the bar chart of a categorical​ variable, or is it a time plot that uses bars to show the​ data? It is a time plot that uses bars to show the data; because it graphs a series of data recorded over time; presenting the values in sequential order.

Step-by-step explanation:

The chart used in the newspaper to illustrate the rising amounts that a video rental company spends to provide streaming content online is a time plot that uses bars to show the data; because it graphs a series of data recorded over time; presenting the values in sequential order.

6 0
3 years ago
5-7
uranmaximum [27]

Answer:

the third option

Step-by-step explanation:

what does that mean ?

to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).

a square root of a not square number is irrational (not rational).

so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).

for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.

what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.

so, what works for 9 - sqrt(14) as factor ?

we cannot just square this as

(9- sqrt(14))² = 81 -2sqrt(14) + 14

we still have the square root included.

but remember the little trick :

(a+b)(a-b) = a² - b²

without any mixed elements.

so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get

81-14 = 67 which is a rational number.

therefore, the third answer option is correct.

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makkiz [27]
The answer is 140 peanut bars
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