A total of 22 dimes and nickels have a value of $1.90. If d represents the number of dimes and n represents the number of nickel
s, which system of equations models this situation?
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1 answer:
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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>
Answer:
f(4) = 85 1/3 or 85.333...
Step-by-step explanation:
To find f(4), you must substitute 4 in place of x whenever x appears:
f(x) = *
f(4) = *
Next, simplify the exponent:
f(4) = * 256
Finally, multiply:
f(4) = 85 1/3 or 85.333...
