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harkovskaia [24]
3 years ago
13

A family rents a truck to move from Buffalo to Chicago. The rental has a base cost of $29.95, plus an additional cost of $1.50 p

er mile driven. The family also pays for gas, which costs $2.15 per gallon. The truck’s average gas mileage is 16 miles per gallon. What is the total cost of the move? (Hint: Use the map to estimate the driving distanc
Mathematics
1 answer:
andriy [413]3 years ago
7 0
This is what you need to find the answer

$29.95+$1.50(533)+(533/16)($2.15)
=$901.07
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Compute the standard deviation for the set of data.<br><br> 13.3, 14.3, 15.3, 16.3, 17.3
Gennadij [26K]
<h3>Answer: Choice A)  sqrt(2)</h3>

==========================================

Explanation:

Add up all of the values

13.3+14.3+15.3+16.3+17.3 = 76.5

Then divide by 5 as there are n = 5 values in the set given

76.5/5 = 15.3

The mean of this data set is 15.3

-------------

Subtract the mean from each value to get this list of differences

x1 - mean = 13.3 - 15.3 = -2

x2 - mean = 14.3 - 15.3 = -1

x3 - mean = 15.3 - 15.3 = 0

x4 - mean = 16.3 - 15.3 = 1

x5 - mean = 17.3 - 15.3 = 2

-------------

Square each result from the previous section

(-2)^2 = 4

(-1)^2 = 1

(0)^2 = 0

(1)^2 = 1

(2)^2 = 4

Then add up those results

4+1+0+1+4 = 10

This is the sum of the squared differences.

------------

Divide the sum of the squared differences by n = 5 to get 10/5 = 2

The population variance is 2

The population standard deviation is the square root of this, so we get sqrt(2) as our final answer.

------------

Side note: This data set was fairly small, so computing the standard deviation by hand wasnt too painful. When it comes to larger data sets, it is smarter to use a spreadsheet program to easily calculate the answer. The drawback is that you wont be able to get an exact answer in terms of radicals (then again you could always use a CAS, which stands for "computer algebra system").

6 0
3 years ago
Find the area of following rhombuses. Round your answers to the nearest tenth if necessary.
Andrews [41]

Answer:

505.4 in²

Step-by-step explanation:

½d2= 19×tan 35° = 19×0.7 = 13.3 in

d2 = 2×13.3 = 26.6 in

d1 = 2×19=38 in

the area of Rhombus =

½×38×26.6 = 505.4 in²

3 0
3 years ago
What is the approximate value of x in the diagram below? (Hint: You will need
Delicious77 [7]

Answer:

B. 39.59

Step-by-step explanation:

So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as \frac{opposite}{hypotenuse}. So let's plug in known values:

sin(43) = \frac{27}{x}

Multiply both sides by x

sin(43) * x = 27

divide both sides by sin(43)

x=\frac{27}{sin(43)}

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

x=\frac{27}{0.682}

simplify the fraction

x\approx39.59

8 0
2 years ago
PLEASE HELP ASAP!!!! IT WILL BE DEEPLY APRECIATED AND NO LINKS PLEASE
mart [117]

Answer: Parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. Colloquially, curves that do not touch each other or intersect and keep a fixed minimum distance are said to be parallel.

6 0
3 years ago
I need help ASAP PLEASEEE!
sergeinik [125]

Answer:

<u>The</u><u> </u><u>fourth</u><u> </u><u>number</u><u> </u><u>line</u><u> </u><u>is</u><u> </u><u>the</u><u> </u><u>answer</u><u>.</u>

Step-by-step explanation:

- 18 >  - 5x + 2 \geqslant  - 48 \\ ( - 18 - 2) >  - 5x \geqslant ( - 48 - 2) \\  - 20 >  - 5x \geqslant  - 50  \\ \\  \frac{ - 20}{ - 5}  > x \geqslant  \frac{ - 50}{ - 5}  \\  \\ 4 > x \geqslant 10

6 0
3 years ago
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