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Eva8 [605]
3 years ago
10

Sarah needs 10 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabri

c costs $1.50. How much will the fabric
cost?
[1 ft = 0.305 m]

A.$49.18
B.$2.03
C.$21.86
D.$4.58​
Mathematics
1 answer:
Aleks [24]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

The fabric will cost $4.58

D.$4.58

<h2>Why?</h2>

Since it's a conversion exercise, we need to pay special attention to the conversion procedure.

From the statement we know that:

1ft=0.305m

So, if she needs 10 feet of fabric, we need to convert it to meters, and then, calculate its cost.

We have that:

10*1ft=10*0.305m\\\\10ft=3.05m

Now, we have that each meter of fabric cost $1.50, so, 3.05m of fabric will cost:

\frac{1m}{1.50(dollars)}=\frac{3.05m}{cost}\\\\cost=\frac{3.05m*1.50(dollars)}{1m}=4.575(dollars)=4.58(dollars)

Hence, we have that the cost of the fabric will be $4.58.

The correct option is: D.$4.58​

Have a nice day!

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A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five
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Answer:

\dfrac{14}{29}

Step-by-step explanation:

Let <em>P(A) </em>be the probability that goggle of type A is manufactured

<em>P(B) </em>be the probability that goggle of type B is manufactured

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According to the question,

<em>P(A)</em> = 30%

<em>P(B)</em> = 70%

<em>P(E/A)</em> is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

P(A \cap E) will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

P(B \cap E) will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

P(E \cap A) = P(A) \times P(E/A)

P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%

P(E \cap B) = P(B) \times P(E/B)

P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%

P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

P(B/E) = \dfrac{P(E \cap B)}{P(E)}

\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}

So, the required probability is \dfrac{14}{29}.

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Answer:

Solution given:

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