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8090 [49]
3 years ago
7

The points (4,- 4) and (4,- 6) lie on a circle with a radius of 1. Find the center point of the circle.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0

If we intersect the circle of radius 1 around (4,-4) and the circle of radius 1 around (4,-6) they'll intersect at the center of circle radius 1 that has both those points.  

Here we don't really have to do any math.  It's clear that the midpoint (4,-5) is 1 away from both (4,-4) and (4,-6) so that's our answer:

Answer: (4,-5)

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Step-by-step explanation:

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Two distinct solid fuel propellants, type A and type B, are being considered for a space program activity. Burning rates of the
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Answer:

C.I. =  (2.297, 11.703)

Step-by-step explanation:

The t-statistic for difference of mean is given by,

t=\frac{\bar{x_{1}}-\bar{x_{2}}}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}

Here, \bar{x_{1}} = 84

\bar{x_{2}} = 7

s₁ = 4

n₁ = 12

s₂ = 6

n₂ = 18

Substituting all value in formula,

We get, t = -3.541 at 28 degree of freedom.

Using this formula, we get, t = 1.5342

Therefore, based on the data provided, the 99% confidence interval for the difference between the population means \bar{x_{1}}-\bar{x_{2}} is: 2.297 < \bar{x_{1}}-\bar{x_{2}} < 11.703

which indicates that we are 99% confident that the true difference between population means is contained by the interval (2.297, 11.703)

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3 years ago
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Answer:

Number of ways chosen cookies = 8 ways

Step-by-step explanation:

Given;

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Number of ways chosen cookies

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Number of total ways = 2³

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If at least on cookie is chocolate cookie,

Number of ways chosen cookies = Number of total ways - 1

Number of ways chosen cookies = 9 - 1

Number of ways chosen cookies = 8 ways

6 0
3 years ago
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