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Lilit [14]
3 years ago
14

Kacie bought x, number of pencils. She paid $0.91, including tax, per pencil. She gave the cashier $10 and received $6.36 back i

n change. How many pencils did she purchase?
Mathematics
2 answers:
Vikki [24]3 years ago
6 0

Answer: 4 pencils

Step-by-step explanation:

From the question, Kacie bought x, number of pencils. She paid $0.91, including tax, for a pencil and gave the cashier $10 and received $6.36 back in change.

Let the number of pencils bought be x.

Since she paid $0.91 per pencil, and gave the cashier $10 and collected $6.36 as change, this will be:

10 - 0.91x = 6.36

Collect like terms

0.91x = 10 - 6.36

0.91x = 3.64

x = 3.64/0.91

x = 4

She bought 4 pencils

wel3 years ago
4 0

Answer:

She purchased 4 pencils

Step-by-step explanation:

Here, we are to calculate the number of pencils bought given the information in the question.

The amount per pencil is $0.91. The total amount of this since she bought x number of pencils is $0.91 * x = $0.91x

Now, after paying $10, she was given $6.36 as change

what this means is that what the pencils cost is 10-6.36 = $3.64

Now we equate the cost in terms of x to this;

0.91x = 3.64

x = 3.64/0.91

x = 4 pencils

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Answer:

See steps below

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

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• What is probability that the red bulb will need to be replaced at the first inspection?

The probability that the bulb fails the first year is

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• If the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months?

Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

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Now the probability that exactly k bulbs need replacement is

\bf \binom{6}{k}(0.39347)^k(1-0.39347)^{6-k}

<em>Probability that at least one of them needs replacement at the first inspection = 1- probability that none of them needs replacement at the first inspection. </em>

This means that,

<em>Probability that at least one of them needs replacement at the first inspection =  </em>

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