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WARRIOR [948]
4 years ago
12

The number of days each licensed driver in Marion County uses a commuter rail line annually is normally distributed with mean 66

and standard deviation 21. How many days must a driver use a commuter rail line annually to be in the top 5% of rail users? Round to the nearest integer.
Mathematics
1 answer:
alexira [117]4 years ago
3 0

Answer:

31.5 days

Step-by-step explanation:

We.solve using z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

The 5th percentile z score = -1.645

Mean = 66

Standard deviation = 21

Hence:

-1.645 = x - 66/21

-1.645 × 21 = x - 66

-34.545 = x - 66

-34.545 + 66 = x

x = 31.455 days

Approximately to the nearest round integer

= 31.5 days

Therefore, driver use a commuter rail line 31.5 days annually to be in the top 5% of rail users

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Todd earned some money doing chores. He spent one-fourth of his money see a movie. Then he spent $6.00 on popcorn and drinks. Wh
Vsevolod [243]

Answer: Todd earned $40 mowing the neighbor's lawn.

Step-by-step explanation:

Let x represent the amount of money that Todd earned, mowing his neighbor's lawn.

He spent one-fourth of his money see a movie. It means that the amount spent in seeing a movie is x/4

Then he spent $6.00 on popcorn and drinks. It means that the total amount spent is

x/4 + 6

The amount left would be

x - (x/4 + 6) = x - x/4 - 6

When he went home, he had $24.00 left. It means that

x - x/4 - 6 = 24

x - x/4 = 24 + 6

x - x/4 = 30

Cross multiplying by 4, it becomes

4x - x = 120

3x = 120

x = 120/3

x = $40

7 0
3 years ago
Fractions and Mixed numbers:
LiRa [457]
28/8 = 3 remainder 4 so 3 4/8(fraction) or 3 1/2
You would want to divide the minutes to the songs so you can find out how long one song is, but sense there was a remainder you could turn it into a fraction or you could keep diving. In this case you would want to stop. To find the fraction here is a formula the divisor is the denominator, the numerator is the remainder and the whole number is the number you get that is behind the remainder
3 0
3 years ago
Anyone feel like helping me??
Digiron [165]
The angles of a triangle add up to 180 degrees

65 + 3x - 10 + 2x = 180
5x + 55 = 180
5x = 180 - 55
5x = 125
x = 125/5
x = 25 <====

m < B = 3x - 10 = 3(25) - 10 = 75 - 10 = 65 <== B is 65 degrees
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8 0
3 years ago
Find two consecutive odd integers whose product is 99
Illusion [34]
Let x be the first odd number.

Second odd number will be x+2

Proof:

If 3 (was) the first odd number, 3+2 would be the next which is 5.

So,

(x) (x+2) = 99
xsquare + 2x = 99
xsquare +2x - 99 = 0
xsquare +11x - 9x -99 = 0
x(x +11) -9(x + 11) = 0
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So the two odd numbers were 9 and 11
8 0
3 years ago
I need to know what this answer is
lawyer [7]
3.4x3=10.2...
hope this helps!!
5 0
3 years ago
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