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MrRissso [65]
3 years ago
14

Can anyone help with this please, I am so stuck!

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

(x + 1)^2 + (y - 4)^2 = 8

Step-by-step explanation:

Midpoint of the diameter is the centre

So....Centre coordinates are ((-3+1)÷2 ; (2+6)÷2) = (-1;4)

Calculate the radius of the circle....

Radius = square root of [(-1+3)^2 + (4-2)^2]

;Radius = square root of 8

Then substitute the x-coordinate of the centre into the first slot....then the y-coordinate into the second slot and the radius(squared) into last slot of the equation......;

(x + 1)^2 + (y - 4)^2 = 8

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How do i find the answer to find three numbers between -0.62 and -0.61?
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To find three numbers between -0.62 and -0.61 you will add a number in the hundredth place.

8 0
3 years ago
What is the value of this expression? 6 (24÷ 3) - 2​
Makovka662 [10]

Answer:

6 (24÷3) -2

6 (8) -2

48-2

=46

Brackets of division multiplication add and subtract

5 0
3 years ago
The difference between the length and the width of a rectangle is 5 centimeters. What id the length (the longer side) of the rec
Georgia [21]

Answer:

29

Step-by-step explanation:

106=2(x+x+5)

53=2x+5

48=2x

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3 0
3 years ago
A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. ​(a) Describe the
Ivanshal [37]

Answer:

a) \bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})

With:

\mu_{\bar X}= 83

\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3

b) z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2

P(Z>2) = 1-P(Z

c) z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45

P(Z

d) z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1

z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2

P(-1.2

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

\mu = 83, \sigma = 27

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})

With:

\mu_{\bar X}= 83

\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3

Part b

We want this probability:

P(\bar X>89)

We can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for 89 we got:

z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2

P(Z>2) = 1-P(Z

Part c

P(\bar X

We can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for 75.65 we got:

z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45

P(Z

Part d

We want this probability:

P(79.4 < \bar X < 89.3)

We find the z scores:

z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1

z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2

P(-1.2

8 0
3 years ago
Exactly how many days is 72 hours?
jasenka [17]
72 hours is exactly 3 days...
5 0
3 years ago
Read 2 more answers
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