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RideAnS [48]
3 years ago
10

Calculate the m angle EBF , given m arc DA = 45° and m arc EF = 160°.

Mathematics
1 answer:
ratelena [41]3 years ago
5 0
M EBF = 1/2 (160*-45*)
I hope this helps you!
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How to solve this problem 14-6= 10-6=?
Gennadij [26K]
I really don't think you wrote the question properly. Or maybe you did, but this question doesn't make any sense! :/
8 0
3 years ago
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true
kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal 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 = 276, p = 0.06

So

\mu = E(X) = np = 276*0.06 = 16.56

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{276*0.06*0.94} = 3.9454

What is the probability that the sample proportion will be less than 0.1

This is the pvalue of Z when X = 0.1*276 = 27.6. So

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

Z = \frac{27.6 - 16.56}{3.9454}

Z = 2.8

Z = 2.8 has a pvalue of 0.9974

99.74% probability that the sample proportion will be less than 0.1

5 0
3 years ago
Find the value of x<br> −8(x−6)=32
RUDIKE [14]

Answer:

x = 2

Step-by-step explanation:

-8(x-6) = 32 (distribute)

-8x+48 = 32 (subtract 48 from both sides)

-8x = -16 (divide)

x = 2

4 0
3 years ago
Read 2 more answers
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $16 and $30 per share.
serg [7]

Answer:

a) 0.3571 = 35.71% probability that the stock price will be more than $25.

b) 0.1429 = 14.29% probability that the stock price will be less than or equal to $18.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Uniformly distributed between $16 and $30 per share.

This means that a = 16, b = 30

a) More than $25?

P(X > x) = \frac{30 - 25}{30 - 16} = 0.3571

0.3571 = 35.71% probability that the stock price will be more than $25.

b) Less than or equal to $18?

P(X < 18) = \frac{18 - 16}{30 - 16} = 0.1429

0.1429 = 14.29% probability that the stock price will be less than or equal to $18.

4 0
3 years ago
If the Jackson family drive 135 miles on 6 gallons of gas, how many miles can they can they drive on 9 gallons?
drek231 [11]

Answer:

202.5 miles

Step-by-step explanation:

We find the unit rate of the mile per gallon

135/6

= 22.5

We multiply 22.5 by 9 to get the miles they can drive on 9 gallons

22.5 * 9

= 202.5

3 0
3 years ago
Read 2 more answers
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