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melamori03 [73]
2 years ago
11

Chuck lives of a mile from the post office. He walked of the way from home to the post office. How far did Chuck walk? If possib

le, write the answer in reduced form.
Mathematics
1 answer:
Radda [10]2 years ago
4 0

Complete question :

Chuck lives 4/5 of a mile from the post office. He walked 2/3 of the way from home to the post office. How far did Chuck walk? If possible, write the answer in reduced form

Answer:

8/ 15 miles

Step-by-step explanation:

Given that:

Distance from house to post office = 4/5 miles

Distance walked = 2/3 of the distance

Hence, the distance walked can be obtained thus :

2/3 of (4/5)

2/3 * 4/5

8 / 15

Hence, Chucks walked 8 /15 miles

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Answer:

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Step-by-step explanation:

cos 60° = y / 10

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A packing operator can assemble 4 cardboard boxes in 5 minutes. At this rate, how many boxes can she assemble in 25 minutes?
lukranit [14]

Answer:

A. 20

Step-by-step explanation:

look at this step:

4 : 5 = X : 25

X = 4×25/5 = 100/5 = 20

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2 years ago
Read 2 more answers
Seventy percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive
LenaWriter [7]

Answer:

(a) The probability that all the next three vehicles inspected pass the inspection is 0.343.

(b) The probability that at least 1 of the next three vehicles inspected fail is 0.657.

(c) The probability that exactly 1 of the next three vehicles passes is 0.189.

(d) The probability that at most 1 of the next three vehicles passes is 0.216.

(e) The probability that all 3 vehicle passes given that at least 1 vehicle passes is 0.3525.

Step-by-step explanation:

Let <em>X</em> = number of vehicles that pass the inspection.

The probability of the random variable <em>X</em> is <em>P (X) = 0.70</em>.

(a)

Compute the probability that all the next three vehicles inspected pass the inspection as follows:

P (All 3 vehicles pass) = [P (X)]³

                                    =(0.70)^{3}\\=0.343

Thus, the probability that all the next three vehicles inspected pass the inspection is 0.343.

(b)

Compute the probability that at least 1 of the next three vehicles inspected fail as follows:

P (At least 1 of 3 fails) = 1 - P (All 3 vehicles pass)

                                   =1-0.343\\=0.657

Thus, the probability that at least 1 of the next three vehicles inspected fail is 0.657.

(c)

Compute the probability that exactly 1 of the next three vehicles passes as follows:

P (Exactly one) = P (1st vehicle or 2nd vehicle or 3 vehicle)

                         = P (Only 1st vehicle passes) + P (Only 2nd vehicle passes)

                              + P (Only 3rd vehicle passes)

                       =(0.70\times0.30\times0.30) + (0.30\times0.70\times0.30)+(0.30\times0.30\times0.70)\\=0.189

Thus, the probability that exactly 1 of the next three vehicles passes is 0.189.

(d)

Compute the probability that at most 1 of the next three vehicles passes as follows:

P (At most 1 vehicle passes) = P (Exactly 1 vehicles passes)

                                                       + P (0 vehicles passes)

                                              =0.189+(0.30\times0.30\times0.30)\\=0.216

Thus, the probability that at most 1 of the next three vehicles passes is 0.216.

(e)

Let <em>X</em> = all 3 vehicle passes and <em>Y</em> = at least 1 vehicle passes.

Compute the conditional probability that all 3 vehicle passes given that at least 1 vehicle passes as follows:

P(X|Y)=\frac{P(X\cap Y)}{P(Y)} =\frac{P(X)}{P(Y)} =\frac{(0.70)^{3}}{[1-(0.30)^{3}]} =0.3525

Thus, the probability that all 3 vehicle passes given that at least 1 vehicle passes is 0.3525.

7 0
3 years ago
When comparing salaries which unit rate is better:$3250/month or $4000/month?
koban [17]
I think that £3250/month is better because why would you want to spend £4000 when you can spend £3250.
7 0
3 years ago
Levi has a job offer in which he will receive $800 per month plus a commission of 2% of the total price of the cars that he sell
Veseljchak [2.6K]

Answer:

Levi must sell more than 80000 cars per month for the new job to be better than the current job.

Step-by-step explanation:

New Job;

He receives $800 per month plus a commission of 2% or 0.02 of the total price of the cars.

Now, let the total amount he receives in a month be "y" and let the amount of cars sold be x.

Thus;

y = 800 + 0.02x - - - -(eq1)

Current Job:

He receives $1200 per month plus a commission of 1.5% or 0.015 of his total sales.

Thus;

y = 1200 + 0.015x - - - (eq2)

Substituting 800 + 0.02x for y into eq(2) gives;

800 + 0.02x = 1200 + 0.015x

0.02x - 0.015x = 1200 - 800

0.005x = 400

x = 400/0.005

x = 80000

This means Levi must sell more than 80000 cars per month for the new job to be better than the current job.

6 0
3 years ago
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