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Aleksandr-060686 [28]
2 years ago
7

A contractor purchases 7 dozen pairs of padded work gloves for $103.32. He incorrectly calculates the unit price at $14.76 per p

air? What is the correct price?What error did the contractor likely make?
Mathematics
1 answer:
kvv77 [185]2 years ago
7 0

Answer:

The correct unit price would be $1.23.

The contractor divided 103.32 by 7, resulting in an error.

Step-by-step explanation:

If we know a dozen equals 12, then 7 dozen looks like:

7(12)

Multiply.

84

Now we know the contractor purchases 84 pairs of padded work gloves.

Let's find our unit price:

<em>unit price =</em> \frac{cost}{units}

Substitute.

<em>unit price = </em>\frac{103.32}{84}

Divide.

<em>unit price = </em>1.23<em />

<em>__</em>

To find the error of the contractor, let's try substituting in a number (7) provided in the question to see if we get $14.76 per pair:

\frac{103.32}{7}

Divide.

14.76

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Answer:

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Step-by-step explanation:

Previous concepts

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Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.15)

what is the probability that no errors are made?

For this case means that all the questions were correct so we want this probability:

P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969

what is the probability that at least one error made?

For this case we want this probability:

P(X \geq 1)

And we can use the complement rule:

P(X \geq 1)= 1-P(X

If there are n questions and the probability of a marking error is p rather than 0.15, give expressions for the probabilities of no errors  and at least one error

P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n

P(X \geq 1)= 1-P(X

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