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:
The total area:
12 units²
Step-by-step explanation:
There are three parts on this shape:
1 big right triangle
1 rectangle
1 small right triangle
area = (4*4)/2 = 16/2 = 8units²
area = 2*1 = 2units²
area = (2*2)/2 = 2units²
8+2+2 = 12 units²
An expression is defined as a set of numbers, variables, and mathematical operations. The second student is correct.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given One student simplified x⁵ + x⁵ to x¹⁰. The second student simplified x⁵+x⁵ to 2x⁵. Since the simplification of (x⁵+x⁵) is equal to 2x⁵. Therefore, the second student is correct.
Learn more about Expression:
brainly.com/question/13947055
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Answer:
Step-by-step explanation:
P = $295
r =7%
t = 270 days = 270/365
Interest = Prt
= $ 15.28
Amount = 295 + 15.28
Amount = $310.28
You have to subtract 4 from 7 and then add 5 and 3 then add 8 and 2 then multiply 10 with 3 to get 30.
