Answer:
Answer for the question:
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 2.7.
a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?
b. If the acceptable range of hardness is (69-C, 69+C), for what value of C would 95% of all specimens have acceptable hardness?
c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?
d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than 72.84(HINT Y=number among the ten specimens with hardness less than72.84 is a binomial variable; what is p?)
is given in the attachment.
Step-by-step explanation:
Answer:
The answer to your question is k = -3233
Step-by-step explanation:
Data
x₁, x₂ are the roots
Equation l x² - 8x + k = 0
Equation ll 3x₁ + 4x₂ = 29
k = ?
Process
1.- Write another equation
x₁ + x₂ = - 8
2.- Solve the system of equations by elimination
3x₁ + 4x₂ = 29 Equation l
x₁ + x₂ = -8 Equation ll
-Multiply equation ll by -3
3x₁ + 4x₂ = 29
-3x₁ - 3x₂ = 24
0 + x₂ = 53
-Find x₁
x₁ + 53 = -8
x₁ = -8 - 53
x₁ = -61
2.- Find k
(x₁)(x₂) = k
(53)(-61) = k
k = -3233
Answer:
6 × 5 × 5 square inches
Step-by-step explanation:
The area of one of the figure's 6 squares is the product of its side length, so is ...
5 × 5 square inches
The area of all 6 of those squares is 6 times this, or ...
6 × 5 × 5 square inches
Answer:
They are 45 history students and 10 English students the difference is 35 students
35
Answer:
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Step-by-step explanation:
I ate them all