Stacy buys 3 cds in a set for $29.98. she saved 6.44 by buying the set instead of buying the individual cds. if each cd costs th
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Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 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.
In this problem, we have that the mean and the standard deviation are given, respectively, by:
.
The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:
Z = 0.67
Z = 0.67 has a p-value of 0.7486.
1 - 0.7486 = 0.2514.
0.2514 = 25.14% of the batteries will last more than 420 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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Answer:
"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"
Step-by-step explanation:
We have the expression:
First, what does that expression represents?
As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.
How many terms are there?
The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.
What is the constant term?
The constant term is the term where the variable, x, does not appear, here the constant term is: -10
What is the leading coefficient?
The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:
the leading coefficient is:
(-1/6)
There is a part of the statement that I can't read, i suppose that there says:
"leading degree"
this is just the largest power of x that appears in the polynomial, in this case, is 3.
Then the complete statement is:
"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"