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AnnZ [28]
3 years ago
10

The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is

randomly selected, what is the probability that it is the shortest route?
Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

0.8333%

Step-by-step explanation:

Assuming that there is only one possible shortest route, the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:

P=\frac{1}{\frac{5!}{(5-5)!}}=\frac{1}{5*4*3*2*1}\\ P=0.008333=0.8333\%

There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.

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White raven [17]

number 48 looks correct

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3 years ago
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A 70" TV is advertised on sale at a local store. What are the length and width of the television?
a_sh-v [17]
The length and width of the television could be any two numbers whose product is 70.
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3 years ago
The table lists how poverty level income cutoffs​ (in dollars) for a family of four have changed over time. Use the midpoint for
frez [133]

The poverty level cutoff in 1987 to the nearest dollar  was $10787.

<h3>How to find a midpoint?</h3>

The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is: \mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right).

For solving this exercise, first you need plot the points in a chart. See the image.

Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).

\mathrm{Midpoint\:of\:}\left(1980,8429),\:\left(1990,13145):\quad \left(\frac{1990+1980}{2},\:\:\frac{13145+8429}{2}\right)\\\\ \\

\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\left(\frac{1990+1987}{2},\:\frac{13145+3843}{2}\right)\\ \\ =\left(\frac{3977}{2},\:\frac{21574}{2}\right)

\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\=(\frac{3977}{2},10787)

The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar  was $10787.

Read more about the midpoint segment here:

brainly.com/question/11408596

7 0
2 years ago
0.6701 rounded to the nearest hundredth
Anit [1.1K]

Answer:

Your answer would be 0.67

Step-by-step explanation:

3 0
3 years ago
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What is the solution set of the inequality x5 + x4 - 6x3 + x2 + x - 6 ≥ 0?
Ainat [17]
The answer is C

because:
6 0
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