Here's your answer to the first problem
Answer: 5418.54 feet
Step-by-step explanation:
Given: Nadia started at 19.26 feet below sea level.
She climbed a total of 5,437.8 feet up from her initial position.
Since we take negative integers to show depth .
Here, 19.26 feet below sea level. means - 19.26 feet respective to sea level
So her altitude at the end of her climb above sea level = 5437.8-19.26 feet =
= 5418.54 feet
Hence, Nadia's altitude at the end of her climb was 5418.54 feet.
Answer:
160°
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The sum of angles in the given triangle is ...
x + (x +4) + 20x = 180
22x +4 = 180 . . . . . . . . . . collect terms
22x = 176 . . . . . . . . . . subtract 4
x = 8 . . . . . . . . . . . divide by 22
20x = 160 . . . . find the largest angle
The measure of the largest angle is 160°.
Answer:
9.18% probability that a randomly selected person sleeps 6 hours or less
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 probability that a randomly selected person sleeps 6 hours or less?
This is the pvalue of Z when X = 6. So



has a pvalue of 0.0918
9.18% probability that a randomly selected person sleeps 6 hours or less
Answer:
sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would