Using the Central Limit Theorem, the correct option is:
(c) Average number of miles put on a rental car per day across 25 customers.
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The Central Limit Theorem states that, for a normally distributed variable X, with mean
and standard deviation
, the sample means of size m are approximated to a normal distribution with mean
and standard deviation
.
- The interpretation related to this problem is that the larger the sample size, the smaller the standard deviation.
- Thus, among the options, the largest sample is 25, thus, option c will have the smallest standard deviation.
A similar problem is given at brainly.com/question/23088374
Answer:
In the given figure, line segment is constructed on the triangle parallel to line segment . ... This line can then be considered as a transversal of these parallel lines. Angle and angle are therefore corresponding angles. And as they're corresponding, this means that they're equal.
AnswerThe product of 24 and 5/6 is 20.
Step-by-step explanation:
So first multiple 24 and 5.You get 120.Then you divide 120 by 6.You get 20.
Check the picture below, so the distance of the house from the other side is that blue gap.
so, there are 12 inches in 1 foot, so let's just convert all those feet to inches and subtract them.
The length of DZ is 4 units ⇒ 3rd answer
Step-by-step explanation:
Triangle X Y Z is cut by line segment C D, where
- C lies on side XY and D lies on the side YZ
- The length of C D is 15
- The length of X Z is 18
- The length of C Y is 25
- The length of Y D is 20
- C D and X Z are parallel
- CX = 5 units
We need to find the length of DZ
In Δ XYZ
∵ C ∈ XY and D ∈ YZ
∵ CD // XZ
∴ m∠YCD = m∠YXZ ⇒ alternate angles
∴ m∠YDC = m∠YZX ⇒ alternate angles
In Δs YCD and YXZ
∵ m∠YCD = m∠YXZ
∵ m∠YDC = m∠YZX
∵ ∠Y is a common angle
∴ Δ YCD is similar to Δ YXZ by AAA postulate
- There is a constant ratio between their corresponding sides
∴ 
∵ YC = 25 units
∵ CX = 5 units
∵ YX = YC + CX
∴ YX = 25 + 5 = 30 units
∵ YD = 20 units
∵ YZ = YD + DZ
∴ YZ = 20 + DZ
Let us use the ratio of the corresponding side
∵ 
∴ 
- Simplify
by dividing up and down by 5
∵ 
∴ 
- By using cross multiplication
∴ 5(20 + DZ) = 6(20)
∴ 100 + 5 DZ = 120
- Subtract 100 from both sides
∴ 5 DZ = 20
- Divide both sides by 5
∴ DZ = 4 units
The length of DZ is 4 units
Learn more:
You can learn more about triangles in brainly.com/question/3202836
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