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Vaselesa [24]
3 years ago
10

Which transformation shows that the two given circles are similar?

Mathematics
1 answer:
gregori [183]3 years ago
3 0
Circle A -- center(2, 0), radius 8 Circle A' -- center(-1, 5), radius 3
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Consider the probability that at least 88 out of 153 registered voters will vote in the presidential election. Assume the probab
Liono4ka [1.6K]

Answer:

0.9319 = 93.19% probability that at least 88 out of 153 registered voters will vote in the presidential election.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed distributions 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}

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

153 voters:

This means that n = 153

Assume the probability that a given registered voter will vote in the presidential election is 63%.

This means that p = 0.63

Mean and standard deviation:

\mu = E(X) = np = 153(0.63) = 96.39

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.63*0.37} = 5.97

Consider the probability that at least 88 out of 153 registered voters will vote in the presidential election.

Using continuity correction, this is: P(X \geq 88 - 0.5) = P(X \geq 87.5), which is 1 subtracted by the p-value of Z when X = 87.5.

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

Z = \frac{87.5 - 96.39}{5.97}

Z = -1.49

Z = -1.49 has a p-value of 0.0681.

1 - 0.0681 = 0.9319

0.9319 = 93.19% probability that at least 88 out of 153 registered voters will vote in the presidential election.

5 0
2 years ago
A soda manufacturer claims that on average their bottles contain 16oz of soda with an SD of 0.1oz. A regulatory agency decides t
vova2212 [387]

Answer: The chances are of the probability = 0.0001

Step-by-step explanation:

The normal distribution can be described completely by the two parameters µ and σ.

As always, the mean is the center of the distribution and the standard deviation is the measure of the variation around the mean.

Please find the attached file for the solution

4 0
3 years ago
3. passes through (8. -4), slope = 1/2​
spayn [35]

Answer:

y=12x−8

Step-by-step explanation:

8 0
3 years ago
Let f(w) = 2w^3 - 5. What is f(4)?
ZanzabumX [31]
F(4) = 2(4)^3 -5
= 2(64) -5

= 128-5
= 123

Hope this helps!
3 0
3 years ago
Read 2 more answers
What is f(-2) if f(x)=1/2x
Butoxors [25]

f(x) means x = -2 if you multiply 1/2 by -2 you get -1

4 0
3 years ago
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