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Rainbow [258]
3 years ago
7

Why did Euler enter the Paris Academy of Sciences Prize Problem competition ?

Mathematics
2 answers:
anzhelika [568]3 years ago
6 0
He wanted the mathematical challenge
nalin [4]3 years ago
6 0

Answer:He wanted the mathematical challenge

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1. Which one of the following statements is true of perpendicular lines?
Dovator [93]
Only D is correct, it intersects at 90 degrees so it cant be obtuse or acute and never intersecting would be parallel lines <span />
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In kite PQRS, m∠TQP=63°. Identify m∠QPT.
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3 years ago
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Assume the time required to complete a product is normally distributed with a mean 3.2 hours and standard deviation .4 hours. Ho
Alex787 [66]

Answer: 3.712 hours or more

Step-by-step explanation:

Let X be the random variable that denotes the time required to complete a product.

X is normally distributed.

X\sim N(\mu=3.2\text{ hours},\ \sigma=0.4\text{ hours} )

Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

Then, P(\dfrac{X-\mu}{\sigma}>\dfrac{x-\mu}{\sigma})=0.10

P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]

As, P(z>1.28)=0.10  [By z-table]

Then,

\dfrac{x-3.2}{0.4}=1.28\\\\\Rightarrow\ x=0.4\times1.28+3.2\\\\\Rightarrow\ x=3.712

So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

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I think it would be 95 + 25x + 25y
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