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Musya8 [376]
3 years ago
10

Given AD || GJ. Refer to the figure and provide an appropriate name for BCF and GHF.

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

C. Corresponding angles

Step-by-step explanation:

Corresponding angles are angles formed by a transversal on the same side of the transversal and on the same side of each parallel lines.

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Ellen drove 357.3 miles.for each gallon of gas,the car can travel 21 miles.select a reasonable estimate of the number of gallons
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Just a little over 17 gallons was used
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3 years ago
For any positive numbers a, b, and d, with b. 1, logo(ag=
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Pretty sure it’s b BBbBBhVvbBbBBUVVVbBhHh
3 0
3 years ago
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
Please help me do this
tia_tia [17]

Answer:

∠ U = 60°

Step-by-step explanation:

The tangent- tangent angle U is half the difference of its intercepted arcs

minor arc VT = 120° , then

major arc VT = 360° - 120° = 240°

Then

∠ U = \frac{1}{2} (240 - 120)° = \frac{1}{2} × 120° = 60°

5 0
3 years ago
What number plus 2 less than 3 times the number equals 14
Afina-wow [57]

Obviously this will be a negative number

-2 - 14 = 5x - 3x

 

-16 = 2x

x = %28-16%29%2F2

x = -8 is the number

:

:

Check solution in the original statement: x=-8

3(-8) - 2 = 5(-8) + 14

-24 - 2 = -40 + 14

-26 = -26


7 0
3 years ago
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