Answer:
Step-by-step explanation:
Base -- find the radius
radius -- 67.8 (135.6^2 /2)
h=11.2
Volume = 2385.59
2385.60
Step-by-step explanation:
the function A, according to the tables
=> the equation : f(x) = 2x +3
the slope = 2
the function B, according to the graph
=> the equation : f(x) = 3x -2
the slope = 3
based on the value of the slope, the function B has a greater rate of change
F(x)=IxI-5
when you shift it up, add the units to the end of y=IxI
when you shift it down, subtract the units to the end of y=IxI
Using the normal distribution, it is found that 0.26% of the items will either weigh less than 87 grams or more than 93 grams.
In a <em>normal distribution</em> with mean
and standard deviation
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem:
- The mean is of 90 grams, hence
.
- The standard deviation is of 1 gram, hence
.
We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:



The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.
- Looking at the z-table, Z = -3 has a p-value of 0.0013.
2 x 0.0013 = 0.0026
0.0026 x 100% = 0.26%
0.26% of the items will either weigh less than 87 grams or more than 93 grams.
For more on the normal distribution, you can check brainly.com/question/24663213