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3 years ago

PLEASE HELP! WILL MARK BRAINLIEST:)))

Mathematics

2 answers:

salantis [7]3 years ago

8 0

Answer:

Center= (-9,6) Radius=5

Step-by-step explanation:

Agata [3.3K]3 years ago

6 0

correct answer:

( x + 9 ) ² + ( y - 6 ) ² = 25

center = ( -9, 6 )

radius = 5

equations:

we know from the given equation that the center would be (-9, 6) because we have to plug into the equation; ( x – h ) ² + ( y – k ) ² = radius²

how to find the center coordinates:

if youre confused on how we got the -9, by using the negative addition rules:

x - (-9) we can simplify that to ( x + 9 ) like shown above so that how we got -9. It's a little easier to find the 6 because its just x - 6 so we dont have to simplify anything its just 6.

how to find the radius:

the radius is a little more difficult to find, but, since we are given 25, we can just type the square root of 25 (√25) which would be 5!

thats it!! hope this helps<3

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A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The value of x can be written as,

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3 years ago

Read 2 more answers

. The time required for a technician to machine a specific component is normally distributed with a mean of 2 hours and a standa

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Answer:

a) There is a 3.84% probability that the technician can machine one component in 1.5 hours or less.

b) There is a 0.42% probability that the technician will require at least 2.75 hours to complete one component

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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.

In this problem, we have to be careful. The mean is in hours, while the standard deviation is in minutes. I am going to work with both in hours, as the problem states. 17 minutes is 0.283 hours, so:

$\mu = 2, \sigma = 0.283$

(a.) What is the probability that the technician can machine one component in 1.5 hours or less?

This probability is the pvalue of the Zscore when $X = 1.5$ . So:

$Z = \frac{1.5 - 2}{0.283}$

$Z = \frac{-0.5}{0.283}$

$Z = -1.77$

$Z = -1.77$ has a pvalue of 0.0384.

This means that there is a 3.84% probability that the technician can machine one component in 1.5 hours or less.

(b.) What is the probability that the technician will require at least 2.75 hours to complete one component?

The pvalue of the score of $X = 2.75$ is the probability that the technican will require less than 2.75 hours to complete one component. The probability that he will require at least 2.75 hours to complete one component is 1 subtracted by this pvalue. So: