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PolarNik [594]
2 years ago
6

3. Last year, the numbers of skateboards produced per day at a certain factory were normally distributed with a mean of 20,500 s

kateboards and a standard deviation of 55 skateboards.
(a) On what percent of the days last year did the factory produce 20,555 skateboards or fewer?
(b) On what percent of the days last year did the factory produce 20,610 skateboards or more?
(c) On what percent of the days last year did the factory produce 20,445 skateboards or fewer?
Mathematics
1 answer:
Oxana [17]2 years ago
4 0
Let x be a random variable representing the number of skateboards produced
a.) P(x ≤ 20,555) = P(z ≤ (20,555 - 20,500)/55) = P(z ≤ 1) = 0.84134 = 84.1%

b.) P(x ≥ 20,610) = P(z ≥ (20,610 - 20,500)/55) = P(z ≥ 2) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275 = 2.3%

c.) P(x ≤ 20,445) = P(z ≤ (20,445 - 20,500)/55) = P(z ≤ -1) = 1 - P(z ≤ 1) = 1 - 0.84134 = 0.15866 = 15.9%
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Here's the equation for the Pythagorean theorem.
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there are 798 calories in six 10-ounce bottles of apple juice how many calories are there in one 10-ounce bottle of apple juice
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798 calories are in 6 10-ounce bottles of Apple juice. We have to calculate how many calories are in one 10-ounce bottle of Apple juice. We have just to divide 798 calories by 6: 798 : 6 = 133. Answer: There are 133 calories in one 10-ounce bottle of Apple juice


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2 years ago
Which set of numbers is not closed under multiplication ?
kodGreya [7K]

Answer:

D). irrational numbers

Step-by-step explanation:

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Due to conservation efforts, the gray whale has been removed from the endangered species list. There are now 13,000 in the world
brilliants [131]

Answer:

P = 13,000(1.11) ^ t

Step-by-step explanation:

This scenario can be modeled using an exponential growth equation.

The exponential growth equations have the following form:

P = p (1 + r) ^ t

Where P is the population in year t

p is the initial population at t = 0

r is the growth rate

t is the time in years.

In this case we know that the current population is 13,000 and that the growth rate is 11%

So

p = 13,000\\r = 0.11

The equation that models this scenario is:

P = 13,000(1 + 0.11) ^ t

P = 13,000(1.11) ^ t

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2 years ago
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