Answer:
both are mathematical sentances, what you do to one side you must do to the other, goal is to isolate variable
Step-by-step explanation:
Answer:
Grade D score:

Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 78.8
Standard Deviation, σ = 7.1
We are given that the distribution of scores on test is a bell shaped distribution that is a normal distribution.
Formula:

D: Scores below the top 77% and above the bottom 9%
We have to find the value of x such that the probability is 0.77
Calculation the value from standard normal z table, we have,
We have to find the value of x such that the probability is 0.09

Calculation the value from standard normal z table, we have,
Thus, the numerical value of score to achieve grade D is

Answer:
A. 0.62%
B. 28 months
Step-by-step explanation:
A. Calculation for what percentage of total production will the company expect to replace
Let x represents the distribution of life times
Let mean be 34 months
Let standard deviation be 4 months.
Based on the information the full refund on any defective watch for 2 years will represent 24 months (2 years *12 months).
First step
P(X<24)
= p(x-mean/ standard deviation< 24-34/4)
= p(z< -10/4)
=P(z<-2.5)
Second step is to Use the excel function to find NORMSDIST(z) of P(z<-2.5)
NORMSDIST(z)=0.62%
Therefore the percentage of total production will the company expect to replace will be 0.62%
B. Calculation for how much the guarantee period should be
First step
P(X<x)=0.06
P(x-Mean/Standard deviation < x-34/4) = 0.06
Second Step is to Use excel function
P(z<x-34/4) = (Normsinv(0.06)
x-34/4 = -1.555
Now let calculate how much the guarantee period should be
x = -6.22+34 months
x = 27.78
x = 28 months (Approximately)
Therefore the guarantee period should be 28 months
Step-by-step explanation:
A=p(1+r/100)ⁿ
6000=p(1+0.04)¹⁰
6000/(1.04)¹⁰=p
p=6000/1.48
p=4054.05
I would appreciate if my answer is chosen as a brainliest answer