Answer:
a) 0.8841
b) 0.0435
Step-by-step explanation:
A : the set of joints deemed defective by inspector A.
B: the set of joints deemed defective by inspector B.
U: the set of all joints.
The problem says |A|=724, |B|=751, |A∪B|=1159, |U|=10000. Hence, with the help of Venn diagram we can answer the following:
Part a)
This asks for the number of joints that are ∉(A∪B).
hence,
P (∉(A∪B)) :
part b)
This asks for the number of joints that are in B but not in A, which Is represented as the set B−A
Answer:
14
Step-by-step explanation:
280 divided by 20 is 14 when you divide by those 2 numbers you get how much they would cost. also 14x20 is 280
3 & 6 - LCM = 3. 3's multiples are 3, 6, 9,12, 16, etc. 6's multiples are 6, 12, 18, etc. therefore, the least common multiple is 6.
GCF - 3's factors are 1, 3, and 6's factors 1, 2, 3. so the greatest common factor is 3.
Answer:
D. 29% and 22%
Step-by-step explanation:
The known percentages are 34% and 15%. Add these two together to get 49%. All four choices should add up to 100%. So subtract to find what remains:
100% - 49%
= 51%
We don't actually have enough information to determine the percents for summer and winter. BUT the only answer that adds up to 51% is answer D. 29% and 22%.
Answer:
Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This is a finite geometric series with n = 4, a₁ = -144, and r = ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wanted to find the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
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