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Dimas [21]
3 years ago
11

How much work is done by a

Mathematics
1 answer:
Elenna [48]3 years ago
5 0
Work done = force x distance 
W= 1000 x 150
   = 150,000 J 
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A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than
Lemur [1.5K]

Answer:

4.65% probability that a randomly selected customer takes more than 10 minutes

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 7.45, \sigma = 1.52

Probability that a customer takes more than 10 minutes:

This is 1 subtracted by the pvalue of Z when X = 10. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{10 - 7.45}{1.52}

Z = 1.68

Z = 1.68 has a pvalue of 0.9535

1 - 0.9535 = 0.0465

4.65% probability that a randomly selected customer takes more than 10 minutes

6 0
2 years ago
An aquarium tank can hold 5400 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can
Nady [450]

Answer:

36 minutes when both pipes are working together

Step-by-step explanation:

capacity of tank = 5400 liters

Pipe A flow per mint. = 5400/90 = 60 liters per mint.

Pipe B flow per mint. = 5400/60 = 90 liters per mint.

Flow of A + B per mint. 60 + 90 = 150 liter per mint.

Therefore, 5400 / 150 = 36 minutes to fill the tank

8 0
3 years ago
Slope = -1/6; (12,-2)
stira [4]

Equation is y = -1/6x

Step-by-step explanation:

  • Step 1: Given that slope, m = -1/6 and a coordinate (12,-2). Write the equation and find the y-intercept, b.

⇒ y = mx + b

⇒ -2 = -1/6 × 12 + b

⇒ -2 = -2 + b

∴ b = 0

  • Step 2: Write the equation in slope intercept form.

⇒ y = -1/6x + 0

⇒ y = -1/6x

4 0
3 years ago
2st2-s2 for s=3 t=6 what the answer
Ainat [17]

Answer:

3

Step-by-step explanation:

4 -1 = 3

8 0
3 years ago
Find a5 when a1 = 2, r = 2
mihalych1998 [28]
I think your answer is 32
4 0
3 years ago
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