Answer:
The difference between the distances they walked is 600 meters.
Step-by-step explanation:
Let's calculate the distance traveled by Nichol and Sakura with the following equation:

Where:
v: is the speed
t: is the time
The distance traveled by Nichol is:

And the distance traveled by Sakura is:

Hence, the difference between the distances they walked is:

Sakura traveled 600 meters more than Nichol.
Therefore, the difference between the distances they walked is 600 meters.
I hope it helps you!
Answer:
17.25
Step-by-step explanation:
Answer:
m
is 224°
Step-by-step explanation:
From the figure, we have;
The angle subtended at the circumference, by the arc mWXY, C = 112°
The angle subtended at the center = m
By circle theory, we have;
The angle subtended at the center = 2 × The angle subtended at the circumference
∴ m
= 2 × 112° = 224°
m
= 224°.
Answer:
The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the minimum weight for a passenger who outweighs at least 90% of the other passengers?
90th percentile
The 90th percentile is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. So




The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds
Question # 17 Solution
Answer:

Step-by-step Explanation:
The given expression

And we have to solve for x₁
So,
Lets solve for x₁.

Multiply both sides by x₂ - x₁




Divide both sides by -m


Therefore, 
Question # 23 Solution
Answer:

Step-by-step Explanation:
The given expression

And we have to solve for n
So,
Let's solve for n.

Multiply both sides by b.

Factor out n.

Divide both sides by -b + x.


Therefore, 
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