Plz help me I’m confused on to how to do this problem
2 answers:
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Answer: 99.61%
Step-by-step explanation:
As per given , we have
Let x be the random variable that represents the value of resistance .
Since, the resistance is normally distributed.
Then, the z-score corresponding to x on normal curve will be :-
For x = 1.500
For x = 2.500
The probability of the ceramic substrates will not meet the manufacture’s specifications :
P(1.500<x<2500)=P(-2.78<z<3.03)=P(z<3.03)-P(z<-2.78)
=P(z<3.03)-(1-P(z<2.78))
= 0.9987772-(1-0.9972821) [Using z-table]
=0.9960593 =99.60593 % ≈ 99.61%
Hence, the percentage of the ceramic substrates will not meet the manufacture’s specifications = 99.61%
Answer:
Justin is 23 years old, and Aimee is 42 years old.
Step-by-step explanation:
Let Marcella's age be represented by x, and Justin's age by t.
Given that Justin is 2 years older than one third Marcella's age.
t = x + 2
t = + 2 ........... 1
Also, Aimee is four years younger than 2 times Justin's age.
Aimee = 2 x t - 4
Aimee = 2t - 4 .......... 2
But, Marcella's age is 63 years, so that from equation 1;
Justin's age = + 2
= + 2
= 21 + 2
= 23
Justin is 23 years.
From equation 2,
Aimee = 2 x 23 - 4
= 46 - 4
= 42
Aimee is 42 years.
Therefore,
Marcella is 63 years old, Justin is 23 years old, and Aimee is 42 years old.