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irakobra [83]
2 years ago
14

What is the measure of angle ABC of a circle

Mathematics
1 answer:
RoseWind [281]2 years ago
8 0

Answer:

the angle <ABC is equal to 65°

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According to Padgett Business Services, 20% of all small-business owners say the most important advice for starting a business i
elena-s [515]

Answer:

a) There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.

b) There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.

c) There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.

d) The expected number of owners who would say having a good plan is the most important advice is 2.28

Step-by-step explanation:

Questions a), b), c) are all solved as binomial distribution problems.

Question d) is a simple calculation.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

For these problems

12 business owners were contacted, so n = 12.

a. What is the probability that none of the owners would say preparing for long hours and hard work is the most important advice?

20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so \pi = 0.2.

That is P(X=0) when \pi = 0.2.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{12,0}.(0.2)^{0}.(0.8)^{12} = 0.0688

There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.

b. What is the probability that six or more owners would say preparing for long hours and hard work is the most important advice?

20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so \pi = 0.2.

This is:

P = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 6) = C_{12,6}.(0.2)^{6}.(0.8)^{6} = 0.0155

P(X = 7) = C_{12,7}.(0.2)^{7}.(0.8)^{5} = 0.0033

P(X = 8) = C_{12,8}.(0.2)^{8}.(0.8)^{4} = 0.0005

P(X = 9) = C_{12,9}.(0.2)^{9}.(0.8)^{3} = 0.00006

P(X = 10) = C_{12,10}.(0.2)^{10}.(0.8)^{2} = 0.000004

P(X = 11) = C_{12,11}.(0.2)^{11}.(0.8)^{1} = 0.0000002

P(X = 12) = C_{12,12}.(0.2)^{12}.(0.8)^{0} = 0.000000004

So:

P = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.0155 + 0.0033 + 0.0005 + 0.000006 + 0.000004 + 0.0000002 + 0.000000004 = 0.0193

There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.

c. What is the probability that exactly five owners would say having good financing ready is the most important advice?

Twenty-five percent say the most important advice is to have good financing ready, so \pi = 0.25

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 5) = C_{12,5}.(0.25)^{5}.(0.75)^{7} = 0.1032

There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.

d. What is the expected number of owners who would say having a good plan is the most important advice?

Nineteen percent say having a good plan is the most important advice, so that is 0.19*12 = 2.28

The expected number of owners who would say having a good plan is the most important advice is 2.28

4 0
3 years ago
HELP MEEE!! Please evaluating a compound. Inequality using a graph
Irina-Kira [14]

Answer:

\frac{x}{2}

Step-by-step explanation:

From the graph, we can conclude that,

x is less than 2 and not including as there is a hollow circle at the mark 2.

Also, x is greater than or equal to 7 including 7 as there is a solid circle at the mark 7

So, the compound inequality will be x

Now, the option that simplifies to the above inequality is the required answer.

Let us check the first option.

\frac{x}{2}

\frac{x}{2}

Therefore, option 1 simplifies to the above compound inequality.

So, the correct answer is option 1.

6 0
3 years ago
Please help how to make an array for prime number of 19. and 13<br><br><br><br><br>​
topjm [15]

Answer:

Prime numbers are numbers that cannot be divided into further whole numbers. You cannot divide 19 and 13 because 13 and 19 are already prime numbers.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Joey bought 10 cupcakes and has four friends. He wants to have nothing left, but he wants everyone including him to have the sam
Roman55 [17]

we use divsion, 10 divided by 5 is 2, everyone get 2 yumy cupcakes.

8 0
3 years ago
Can someone please help me make a Haku? (A Haku is a Japanese poem that has three lines and the last line has five syllables, wh
valina [46]

Answer:

haikus are easy

But sometimes they don’t make sense

Refrigerator

Step-by-step explanation:

first 5 syllables

second is 7 syllables

third 5 syllables

3 0
2 years ago
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