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gayaneshka [121]
3 years ago
7

Can anyone help me for 13 points?:/

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0
Order of Operations are PEMDAS. So, based on that, the answers would be:
1. 150. Do 20*5 first, as it's in parentheses, then multiply by 10.
2. 36. Same thing as #1 but different numbers.
3. 51. Do the stuff in parentheses first, then multiply because it gets priority over subtraction and then subtract.
4. 16. Do the multiplication in the parentheses first, then the subtraction, and then the division.
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Answer:

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Step-by-step explanation:

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Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

P(-1.5

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