Answer:
Step-by-step explanation:
a)
p(d) - probability of a rivet being defective
p(r) - probability of seam needing to be reworked
The probability of the seem needing to be reworked is equal to the probability that ANY of 24 rivets is defective
Thus the probability that none of the 25 rivets is defective is 1-p(r)
p(r) = 16%, thus 1-p(r) = 84%
1-p(r) = (1-p(d))^24
0.84 = (1-p(d))^24
0.84^(1/24) = 1-p(d)
==> 1-p(d) = 0.9927615998
==> p(d) = 1-0.9927
==> p(d) = 0.0073
b) given p(r) = 8%, thus 1-p(r) = 92%
1-p(r) = (1-p(d))^24
0.92 = (1-p(d))^24
0.92^(1/24) = 1-p(d)
==> 1-p(d) = 0.99653179446
==> p(d) = 1-0.9965
==> p(d) = 0.0035
if the figure is a rectangle the answer is 473
Answer:
y — x = 5
5y — x = 353
Step-by-step explanation:
Let the fifth score be x
Let the average of all the scores be y.
But the fifth score is 5 points lower than the average ie
y — x = 5 (1)
The average of the scores is the sum of all the scores divided the number of scores. This is written as
y = (85 + 92 + 82 + 94 + x) /5
y = (353 + x) /5
Multiply through by 5
5y = 353 + x
Rearrange the equation
5y — x = 353 (2)
The equation Markus will use to determine the x is given as
y — x = 5
5y — x = 353
Answer:
h = 10
Step-by-step explanation:
Given
= 
- 
Multiply through by 14 to clear the fractions
6 = h - 4 ( add 4 to both sides )
10 = h
