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alex41 [277]
3 years ago
5

A person travels 10 miles due north, then 5 miles due west, then 14 miles due north and then 12 miles due east. How far is that

person from their starting point?’ I will give brainlest to the best answer.
Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

North and Souths get added together. North is positive and South is negative.

East and West get added together. East is positive and West is negative.

This will get us two numbers for a triangle that we can make starting at the origin and ending where the two numbers take us.

10 miles north + 14 miles north = 24 miles north

10 + 14 = 24

5 miles west + 12 miles east = 7 miles east

-5 + 12 = 7

See attached image for picture and rest of work.

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Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s
Aliun [14]

Answer : 0.0129

Step-by-step explanation:

Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is \mu=13.4 years and standard deviation is \sigma=1.7 years.

Sample size : n=40

Let X be the random variable that represents the age of fleets.

We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.

For z-score,

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x=14

z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23

By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-

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6 0
3 years ago
If cos of 60 is 1÷2 then who do i solve for b÷26=.5?
Nonamiya [84]

Its 13 cause 26 times.5 is 13

7 0
3 years ago
Please help me with this question
Bezzdna [24]

Answer:

1.03

Step-by-step explanation:

To find the volume of a prism, find the area of the base and multiply it by the height.

The base is an octagon. The area is found A = 2(1+\sqrt{2})a^2. Substitute a = 0.5.

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The volume is 1.21*2.5 = 3.025.

However, there are three holes drilled out half way which each have volume 0.06.

The volume is found as V = πr²h. Substitute r = 0.125 which is half the diameter of 0.25. Since they go half way, the height is h = 1.25.

V = π(0.125)²(1.25) = 0.06.

Since there are 3, they equal 3*0.06 = 0.18.

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1.21 - 0.18 = 1.03

4 0
3 years ago
Help. I’ll give more points and brainiest
AveGali [126]

Answer:

18

Step-by-step explanation:

13.5 / 3 = 4.5

so 4 x 4.5 = 16 + 2 = 18

4 0
3 years ago
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As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First th
Ksju [112]
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This will give Seth the value of 0.24 to the black marble and 0.16 to the red marble. So if Seth will choose that can make him correct, he should choose the one who has higher probability that will help him. So between the two values, Seth should choose the black marble which is 8 points higher than the red marble.

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