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Ilia_Sergeevich [38]

3 years ago

12

What is the equation of a circle centered at (-3,1) with radius 7?

1 answer:

Maurinko [17]3 years ago

8 0

The standard form of a circle is $(x-h)^2+(y-k)^2=r^2$ , where h and k are the coordinates of the center and r is the radius. We will fill in accordingly with what we have. $(x-(-3))^2+(y-1)^2=7^2$ . Simplifying a bit we have $(x+3)^2+(y-1)^2=49$ . That's the equation for your circle.

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a tree casts a shadow 42 feet long.at the same time, a person 5 feet tall casts a shadow 7 feet long. what is the hight of the t

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Step-by-step explanation:

a tree casts a shadow 42 feet long . at the same time, a person 5 feet tall casts a shadow 7 feet long.

shadow of a 5 feet tall person is 7 feet long

Let x be the height of the tree

shadow of a 42 feet tree is x feet long

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777dan777 [17]

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Step-by-step explanation:

We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.

Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.

Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.

So, Mean, $\mu$ = $\frac{1.9+2.1}{2}$ = 2.0

Therefore, mean for the population of products produced with this process is 2.

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z = -1.6449 {from z % table}

We know that z formula is given by ;

$Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

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⇒ $\sigma =$ 0.0608 * $\sqrt{30}$ {as sample size is given 30}

⇒ $\sigma$ = 0.03 .

Therefore, Standard deviation for the population of products produced with this process is 0.0333.

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