(fog) (x) = (5x - 7) / (5x - 4)
The denominator cannot be zero so the domain is All real x except x = 4/5
Answer:
Look below.
Step-by-step explanation:
From looking at this figure we could break it up into 3 different shapes and find the area of each giving us the area of the shape by adding.
Area of a square formula: A=LW
Area of a triangle formula: A=1/2bh
Rectangle:
A=8 x 4
A=32
Triangle 1:
A=1/2bh
A=1/2(3)(2)
A=3
Triangle 2:
A=1/2bh
A=1/2(3)(3)
A=4.5
Now add them all together to get your area of the figure.
32+3+4.5=39.5
Area=39.5
Answer:
0.5328 = 53.28% probability that the length of hatching times is between 15 and 18 days.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 16 days and standard deviation of 2 days.
This means that
Probability that the length of hatching times is between 15 and 18 days.
This is the p-value of Z when X = 18 subtracted by the p-value of Z when X = 15. So
X = 18
has a p-value of 0.8413
X = 15
has a p-value of 0.3085
0.8413 - 0.3085 = 0.5328
0.5328 = 53.28% probability that the length of hatching times is between 15 and 18 days.