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Tju [1.3M]
3 years ago
15

(points on a circle) PLEASE HELP THIS IS DUE TONIGHT

Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0

Answer:

Inside the circle, a distance of \sqrt{34} from the center of the circle.

Step-by-step explanation:

Center of circle is at (0,0)

One point of the circle is at (0,\sqrt{38})

Since the only known point is in the y-axis, the radius of the circle must be \sqrt{38}.

\sqrt{38} = 6.164

So the point (-5,-3) is still inside the circle as the distance from point (-5,-3) to the center of the circle is \sqrt{(5)^2+(-3)^2} or \sqrt{34} which is less than the radius of the circle.

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A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa
Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is  α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion  

p(private) be the proportion of alumni of the private university who attended at least one class reunion  

Hypotheses are:

H_{0}: p(public) = p(private)

H_{a}: p(public) ≠ p(private)

The formula for the test statistic is given as:

z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}} where

  • p1 is the sample proportion of  public university students who attended at least one class reunion  (\frac{808}{1311}=0.616)
  • p2 is the sample proportion of private university students who attended at least one class reunion  (\frac{647}{1038}=0.623)
  • p is the pool proportion of p1 and p2 (\frac{808+647}{1311+1038}=0.619)
  • n1 is the sample size of the alumni from public university (1311)
  • n2 is the sample size of the students from private university (1038)

Then z=\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}} =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.  

6 0
3 years ago
Mr.gilliam is 3 years younger than his wife.the sum of their ages is 95.how old is mr.gilliam
Usimov [2.4K]
X = the age of Mr. Gilliam
His wife is 3 years older, so the age of Mr. Gilliam's wife = x+3
The sum of their ages is 95.

x+x+3=95 \\
2x+3=95 \\
2x=95-3 \\
2x=92 \\
x=46

Mr. Gilliam is 46 years old.
3 0
3 years ago
Read 2 more answers
What is the simplified form of (6^2+ 4) - 15?
TEA [102]

Answer:

25

Step-by-step explanation:

(6^2+4)−15

(36+4)−15

40−15

25

6 0
3 years ago
Leah's family traveled 5/7 of the distance to her grandmother’s house on Saturday. They traveled 1/2 of the remaining distance o
Readme [11.4K]

Answer:

1/7

Step-by-step explanation:

They traveled 5/7 of the distance on Saturday.

That left 2/7 of the distance as the remaining distance.

They traveled half of 2/7 of the distance on Sunday.

1/2 of 2/7 = 1/2 × 2/7 = 2/14 = 1/7

Answer: 1/7

4 0
2 years ago
Read 2 more answers
What is the solution to x4 - 12x2+10>0
alexira [117]

Answer:

  (-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)

Step-by-step explanation:

Using x^2 = z, the equation can be rewritten as ...

  z^2 -12z +10 > 0

  (z -6)^2 -26 > 0

  |z -6| > √26

This resolves to two equations.

This one ...

  x^2 -6 < -√26 . . . . substitute x^2 for z

  |x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|

  -√(6-√26) < x < √(6-√26)

__

and this one ...

  x^2 -6 > √26

  |x| > √(6 +√26)

  x < -√(6 +√26) ∪ √(6 +√26) < x

5 0
3 years ago
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