A wooden 8x2 + 40x + 32 feet was cut into pieces of length x2 + 5x + 4 feet. How many cuts were made?
1 answer:
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Answer:
Step-by-step explanation:
We have been given an equation . We are asked to solve our given equation.
First of all, we will add 3 to both sides of our equation.
Now, we will divide both sides of our equation by 4.
Upon rounding our answer to nearest thousandth (3 places after decimal) we will get,
Therefore, the solution for our given equation is .
Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:
The proportion of sample means greater than 8.8 hours is <u>one subtracted by the p-value of Z when X = 8.8</u>, hence:
By the Central Limit Theorem
Z = 1.43
Z = 1.43 has a p-value of 0.9236.
1 - 0.9236 = 0.0764.
7.64% of of sample means are greater than 8.8 hours.
More can be learned about the normal distribution at brainly.com/question/25800303
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