7) Calculate which is the best deal? Fill in the blanks below for your final answer. Round your answers to the nearest penny.
2 answers:
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Answer:
Option (C)
Step-by-step explanation:
There are two inequalities,
t - 4 ≥ 4t + 8 ------(1)
3t > 14 - 4t ------(2)
By simplifying inequality (1),
t - 4 ≥ 4t + 8
t ≥ 4t + 8 + 4
t ≥ 4t + 12
t - 4t ≥ 12
-3t ≥ 12
t ≤
t ≤ -4
By solving inequality (2),
3t > 14 - 4t
3t + 4t > 14
7t > 14
t >
t > 2
From the given graphs, Option (C) will be the answer.
Answer:
Probability that fewer than 2 of these parts are defective is 0.604.
Step-by-step explanation:
We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.
A random sample of 7 parts produced by this machine is chosen.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 7 parts
r = number of success = fewer than 2
p = probability of success which in our question is % of defective
parts produced by one of the machine, i.e; 19%
<em>LET X = Number of parts that are defective</em>
<u>So, it means X ~ Binom(n = 7, p = 0.19)</u>
Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)
P(X < 2) = P(X = 0) + P(X = 1)
=
=
= <u>0.604</u>
<em>Therefore, the probability that fewer than 2 of these parts are defective is 0.604.</em>