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Marat540 [252]
3 years ago
7

Circle F is congruent to circle j, and < EFD ≈

Mathematics
1 answer:
IrinaVladis [17]3 years ago
3 0
Hey there, please provide a picture of the diagram so we can better assist you
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From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0
3 years ago
Given that m/_a=40 and m/_b=61 find that the measure of angles x and y
brilliants [131]
Answer:
y = 140, x = 159
Step-by-step explanation:
Angle y:
we can find this angle by subtracting 40 from 180, 180-40 = 140 = y
Angle x:
Some measure of an angle plus angle b is equal to 180 degrees: 180-61 = 119
We can now find the measure of the third angle of the triangle: 180-(119+40) = 21
The third angle plus angle x is equal to 180: 180-21 = 159 = x
7 0
1 year ago
Read 2 more answers
Find the volume of this the sphere round to the nearest tenth 7in [?]in*3
Lyrx [107]

Answer:

1436.8

Step-by-step explanation:

4/3×π×7³

= 1372π/3

≈ 1436.8

Answered by GAUTHMATH

5 0
3 years ago
What is the geometric mean of 30 and 6
Alik [6]
Since we have 2 numbers, we'll be square rooting.

All we have to do to find the mean is multiply & square root the products.

30 × 6 = 180

\sqrt{180} = 13.42

You can use the same process and check my answer if you'd like; I rounded the square root, so you may get a different answer.
6 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST<br><br>Find the scale factor​
Sloan [31]
Please I’m in 5th grade I tried but it’s too hard but please mark me Brainlyest
7 0
3 years ago
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