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allochka39001 [22]
3 years ago
6

One angle is 60 degrees, the other

Mathematics
2 answers:
k0ka [10]3 years ago
7 0

Step-by-step explanation:

The missing angle is 60° (180 - 60 - 60=60)

Its name: <em>equilateral triangle </em>

WINSTONCH [101]3 years ago
3 0

hi this is my first answer

a straight angle has 180°,

here your given angle is 60+60=120°

so your missing angle is 180-120=60°

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A graduate student majoring in linguistics is interested in studying the number of students in her college who are bilingual. Of
Eddi Din [679]

Answer:

48.41% probability that 17 or fewer of them are bilingual.

Step-by-step explanation:

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 = 50, p = \frac{466}{1320} = 0.3530

So

\mu = E(X) = np = 50*0.3530 = 17.65

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.3530*0.6470} = 3.38

Probability that 17 or fewer of them are bilingual.

Using continuity correction, this is P(X \leq 17 + 0.5) = P(X \leq 17.5), which is the pvalue of Z when X = 17.5. So

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

Z = \frac{17.5 - 17.65}{3.38}

Z = -0.04

Z = -0.04 has a pvalue of 0.4841

48.41% probability that 17 or fewer of them are bilingual.

8 0
4 years ago
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Answer:

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Step-by-step explanation:

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1 year ago
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svp [43]

Answer:

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Step-by-step explanation:

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3 years ago
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jeka94
This one is A.  Since the coin was removed from the coin purse, the number of coins changed.  So the probabilities also changed.
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3 years ago
90+15x+8x-2=180<br> solve for x
Sergio [31]

Answer:

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Step-by-step explanation:

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Hope this helped!

4 0
3 years ago
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