Answer:
The bulbs should be replaced each 1060.5 days.
Step-by-step explanation:
Problems of normally distributed samples are 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:
How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?
This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.
The bulbs should be replaced each 1060.5 days.
Answer:
Hi, this question is a little unclear. If you want to know what percentage he saved, it would be 30%, and to convert that percentage into a decimal would be a decimal of 0.30
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
−
3
,
−
8
)
Equation Form:
x
=-
3
,
y
=
−
8
Step-by-step explanation:
The length of a segment is the distance between its endpoints.
- AB and CD are not congruent
- AB does not bisect CD
- CD does not bisect AB
<u>(a) Length of AB</u>
We have:
The length of AB is calculated using the following distance formula
So, we have:
Simplify
<u>(b) Are AB and CD congruent</u>
First, we calculate the length of CD using:
Where:
So, we have:
By comparison
Hence, AB and CD are not congruent
<u>(c) AB bisects CD or not?</u>
If AB bisects CD, then:
The above equation is not true, because:
Hence, AB does not bisect CD
<u>(d) CD bisects AB or not?</u>
If CD bisects AB, then:
The above equation is not true, because:
Hence, CD does not bisect AB
Read more about lengths and bisections at:
brainly.com/question/20837270
0.008 would equal to 8/1000 while 0.08 would be 8/10. That would mean 0.008 is much smaller than 8/10. You use the idea of base 10.
