Use the bacteria parable to determine what fraction of the bottle is full at 11:39.
1 answer:
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Answer:
P(57 < X < 69) = 0.1513
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:
Find P(57 < X < 69):
This is the pvalue of Z when X = 69 subtracted by the pvalue of Z when X = 57. So
X = 69
has a pvalue of 0.9564
X = 57
has a pvalue of 0.8051
0.9564 - 0.8051 = 0.1513
P(57 < X < 69) = 0.1513
Answer:
table 2
Step-by-step explanation:
see attached
Answer: The area of the triangle ABC is 168 cm square.
Explanation:
Let the area of the triangle ABC be x cm square.
It is given that In △ABC point D is the midpoint of AB , point E is the midpoint of BC , and point F is the midpoint of BE .
As we know that a median of a triangle divides the area of a triangle in two equal parts. Since D is a midpoint of AB and AD is median of triangle ABC. So area of triangle ACD and BCD is half of the area of triangle ABC.
The area of ACD and BCD is .
Since E is a midpoint of BC and DE is median of triangle BCD. So area of triangle BDE and CDE is half of the area of triangle BCD.
The area of BDE and CDE is .
Since F is a midpoint of BE and DF is median of triangle BDE. So area of triangle BDF and DEF is half of the area of triangle BDE.
The area of BDF and DEF is . As shown in below figure.
It is given that the area of △DCF= 63 cm.
From the figure the area of △DCF is,
Therefore the area of triangle ABC is 168 cm square.
