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1 answer:
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Answer:
The Area of Δ ABC = 219.13
Step-by-step explanation:
<em>The hard part about this problem is finding the area without the height</em>
The formula to do this is Area =
A, B, C represent the sides
S represents (A + B + C)
In this equation, we will make the base be A, and the other two sides will be B and C
<u>Sides B and C are the same length</u> because they meet at a 90° angle
Lets plug the numbers into the variables
A = 28
B= 21
C= 21
<u>Remember:</u> S represents (A + B + C)
S = (28 + 21 + 21)
S = (70)
S = 35
<em>Lets plug the numbers into the Area Formula now!</em>
Area =
According to the order of operations, we need to do the calculations in parentheses <u>first</u>
35 - 28 = 7
35 - 21 = 14
35 - 21 = 14
14 x 14 x 7 = 1372
1372 x 35 = 48020
= 219.13
The Area of Δ ABC = 219.13
Answer:
0% probability of getting a mean temperature of 98.2 degrees F or lower.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
Normal probability distribution
Problems of normally distributed samples can be 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:
Find the probability of getting a mean temperature of 98.2 degrees F or lower.
This is the pvalue of Z when X = 98.2. So
has a pvalue of 0.
So there is a 0% probability of getting a mean temperature of 98.2 degrees F or lower.