How do i figure out what the radius and diameter is
1 answer:
You might be interested in
Answer: 7) Max: y = 52
8) Min: y = -51
<u>Step-by-step explanation:</u>
The Max/Min is the y-value of the intercept.
- Max is when the a-value is negative.
- Min is when the a-value is positive.
First, find the x-value of the vertex using the Axis of Symmetry formula:
x = -b/2a. Then plug the x-value into the equation to find the y-value.
7) y = -2x² - 16x + 20
↓ ↓ ↓
a= -2 b= -16 c=20
Max: y = -2(-4)² - 16(-4) + 20
= -2(16) + 64 + 20
= -32 + 84
= 52
*********************************************************************************************
7) y = x² + 12x - 15
↓ ↓ ↓
a= 1 b= 12 c= -15
Max: y = (-6)² + 12(-6) - 15
= 36 - 72 - 15
= 36 - 87
= -51
Answer:
If the warranty limits are at 41.12 months, only 10 percent of the HDTVs need repairs at the manufacturer's expense.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months. This means that .
Where should the warranty limits be set so that only 10 percent of the HDTVs need repairs at the manufacturer's expense?
This is the value of X when Z has a pvalue of 0.90.
Looking at the z-table, we get that this is between and
, so we use
.
If the warranty limits are at 41.12 months, only 10 percent of the HDTVs need repairs at the manufacturer's expense.