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 equation is:
And the solution is:
Step-by-step explanation:
Given
Represent Kiran with K and Tyler with T
Kiran score is represented as:
Also, Kiran scored 223 less than Tyler.
This is represented as:
Substitute 409 for K
Make T the subject
Answer: the general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base
f(x) = -2x
-2x = 0
x = 0/-2
x = 0
Now putting 0 as x in g(x)
g(x) = 8x^2 - 5x + 7
g(0) = 8(0)^2-5(0)+7
= 0 - 0 + 7
= 7
Answered by Gauthmath must click thanks and mark brainliest
Answer:
(2m -3)(2m -5)
Step-by-step explanation:
You can do this several ways. One of my favorites is to graph the expression to find its zeros. They are 3/2 and 5/2, so the factoring can be ...
... 4(x -3/2)(x -5/2) = (2x -3)(2x -5) . . . . . . after eliminating fractions
_____
You can also look for factors of 4·15 ("ac") that add to give -16 ("b"). Since "b" is negative, both factors will be negative.
... 4·15 = 60 = (-1)(-60) = (-2)(-30) = (-3)(-20) = (-4)(-15) = (-5)(-12) = (-6)(-10)
The pair -6, -10 has a sum of -16, so we can rewrite the expression as ...
... 4m^2 -6m -10m +15 . . . . . . . replace -16m with -6m -10m (order doesn't matter)
and factor pairs of terms
... (4m^2 -6m) -(10m -15) = 2m(2m -3) -5(2m -3) . . . . . there is a common factor between the pairs
... = (2m -5)(2m -3)
