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Jobisdone [24]
3 years ago
6

Mary sews at a rate of 60 inches per hour. How many feet does she sew in a minute?

Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0

Answer:

B. 0.083 rounded to the nearest thousandth.

Step-by-step explanation:

It is known that 12 inches = 1 foot and

60 minutes = 1 hour

Since we want to covert from inches per hour to feet per minute, then we would change 60 inches to feet in 1 hour 2 minutes in divide.

If 12 inches = 1 foot, then

60 inches = 60/12 = 5 feet

Therefore, the number of feet that she sews in a minute is

5/60 = 0.083 feet per minute

She sews 0.083 feet per minute.

This is the full explanation for this question.

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Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution wi
LuckyWell [14K]

Answer:

a) E(X)=1

b) σ=1

c) P(X>1)=0.368

d) P(2<X<5)=0.128

Step-by-step explanation:

We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.

a) We have to compute the expected time between two successive arrivals.

The expected value for X as it is exponentially distributed is:

E(X)=\dfrac{1}{\lambda}=\dfrac{1}{1}=1

b) We have to compute the standard deviation of X.

The standard deviation is calculated as:

\sigma=\dfrac{1}{\lambda}=\dfrac{1}{1}=1

c) The probability that X is larger than 1 (P(X>1))

We can express the probability as:

P(X>t)=e^{-\lambda t}\\\\P(X>1)=e^{-\lambda\cdot 1}=e^{-1}=0.368

d) The probability that X is between 2 and 5 (P(2<X<5))

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3 years ago
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The formula can be used to work outthe cost, in riyals, of hiring a helmet inQatar for a number of days.Kasun wants to hire a bi
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Answer:

The answer is below

Step-by-step explanation:

a) Cost of hiring the bicycle for 14 days is:

Cost = 65 * 14 days + 44 = 954 riyals

b) The number of days the bicycle is hired is to be the same as the number of days the bicycle is to be hired. Let us assume that the bicycle and helmet is to be hired for x days, hence:

Cost of bicycle = 65 * x + 14 = 65x + 44

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Total cost = 65x + 44 + 12.5x = 77.5x + 44

Since 750 riyals is available, hence:

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x = 9.11

Therefore the maximum number of days is 11. The total cost for 11 days is:

Total cost = 77.5(9) + 44 = 741.5 riyals

Money not spent = 750 riyals - 741.5 riyals = 8.5 riyals

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