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LenKa [72]
3 years ago
6

What is cos(3pi)? 1 0 -1 -2

Mathematics
2 answers:
Dafna1 [17]3 years ago
5 0
C: -1 is the answer
Lynna [10]3 years ago
5 0

Answer: -1

Step-by-step explanation:

you do the math

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Korvikt [17]

Answer:

6 units, hope this helped!

Step-by-step explanation:

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a square with sides of length 5 is positioned inside a square with sides of length 7. What is the total area between the squares
Vlad [161]
5x7=35
your answer is 35 hope i helped
3 0
3 years ago
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A drawing has a magnification of 25cm. The actual size of the specimen is 5cm. What is the size of the image?
elena-s [515]

Answer: it is 5 times bigger

Step-by-step explanation:

8 0
3 years ago
Of the total population of the United States, 20% live in the northeast. If 200 residents of the United States are selected at r
Snezhnost [94]

Answer:

0.0465 = 4.65% probability that at least 50 live in the northeast.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses 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 samples 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)}.

In this problem, we have that:

n = 200, p = 0.2

So

\mu = E(X) = np = 200*0.2 = 40

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.2*0.8} = 5.65685

Approximate the probability that at least 50 live in the northeast.

Using continuity correction, this is P(X \geq 50 - 0.5) = P(X \geq 49.5, which is 1 subtracted by the pvalue of Z when X = 49.5. So

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

Z = \frac{49.5 - 40}{5.65685}

Z = 1.68

Z = 1.68 has a pvalue of 0.9535

1 - 0.9535 = 0.0465

0.0465 = 4.65% probability that at least 50 live in the northeast.

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3 years ago
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shepuryov [24]

Answer: D

Step-by-step explanation:

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