Answer:
the angle x would still be the same when you dilate the same triangle. if x was 87 degree on the small triangle and then dilate it larger, the value of x would still be 87 degree.
The demand that has an 8% probability of being exceeded is 38.1230 .
<h3>What is probability?</h3>
Probability is the aspect of mathematics that focus on the occurrence of a random event.
This is calculated below:
The normal random variable having the mean is been given as :
(Mu = 31.8)
The standard deviation is been given as ( sd = 4.5)
Then in making our calculation, we will need to make use of the formular below:
But we know that going with the probability of 0.08
where k = 1.4051
P (Z > 1.4051)
k = 1.4051
we can have the expression for k as ![[(X - 31.8) / 4.5]](https://tex.z-dn.net/?f=%5B%28X%20-%2031.8%29%20%2F%204.5%5D)
This can be simplified as:
X = 4.5 (1.4051) + 31.8 = 38.1230.
Therefore, the demand that has an 8% probability of being exceeded is 38.1230 .
Learn more about normal distribution on:
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Weight on Mars for a 90lb person: 34.05lbs
Weight on Mars : Weight On Earth/91.8m/s^2 • 3.711m/s
Earths Force : 91.8m/s^2
Mars Gravitational Force : 3.711m/s
So an object or person on Mars would weigh 37.83% its weight on earth. Therefore, a person would be much lighter on mars. A person is about 62.17% heavier on earth than on Mars.
Answer:
8
Step-by-step explanation:
8 division unless it multiplication
Answer: 44 miles
WORKINGS
Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown
Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.
The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL
Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles
Therefore, The distance between Dayton and Lima, DL = 52 miles
The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.
That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles
Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
