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3 years ago

PLEASE HELP DUE SOON! WILL GIVE BRAINLIEST AND POINTS!

Mathematics

2 answers:

Fynjy0 [20]3 years ago

3 0

3. 6/8/10 is twice the common Pythagorean Triple 3/4/5.

Answer: A. 10

4. 3/4/5 is a Pythagorean Triple because they're three natural numbers that satisfy a²+b²=c^2, here 3²+4²=5².

Answer: C

Non-zero whole numbers are called <em>natural numbers.</em>

<em />

Aleksandr-060686 [28]3 years ago

3 0

Answer:

3 10

4 C yes it is a pythagorean triple 3^2 +4^2 = 5^2

Step-by-step explanation:

We can find the unknown side by using the Pythagorean theorem

a^2 +b^2 = c^2

6^2 +8^2 = c^2

36+64 =c^2

100 = c^2

Take the square root of each side

sqrt(100) = sqrt(c^2)

10 = c

4. a^2 +b^2 = c^2

3^2 +4^2 = 5^2

9+16= 5^2

25 = 25

Since the numbers fit the Pythagorean theorem, it is a Pythagorean triple

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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

Which of the following is most likely the next step in the series?

IgorC [24]

A. The hexagon as the series is adding a side each time. So you started with 3, 4, 5...

4 0

3 years ago

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For each value of y, determine whether it is a solution to 12 = 2y +8.<br> Is it a solution

grin007 [14]

Answer: 2(0) + 8 does not equal 12, not a solution.

2(2) +8 = 12 yes it is a solution

2(-3) + 8 does not equal 12, not a solution

2(5) + 8 does not equal 12, not a solution.

Step-by-step explanation:

Looks like you need to plug in each y value given and multiplied by 2 and add 8

2(0) + 8 does not equal 12, not a solution.

2(2) +8 = 12 yes it is a solution

2(-3) + 8 does not equal 12, not a solution

2(5) + 8 does not equal 12, not a solution.

3 0

3 years ago

If a person walks 1/2 a mile in each 1/4 hour, how far does he walk in 1 hour?

laila [671]

Answer:

2 miles

Step-by-step explanation:

1/2+1/2+1/2+1/2=1

5 0

2 years ago

Read 2 more answers

The cost of making a shirt is half of what the shirt normally sells for. Today, the shirt is in a 15 percent discount from its n

Vaselesa [24]

Answer:

.85 times the cost to make the shirt

Step-by-step explanation:

Let x represent cost to make the shirt.

Today, the shirt is in a 15 percent discount from its normal price.

Discount = 15/100 * x = 0.15x

Current cost = Original cost - discount

Current cost = x - 0.15x = 0.85x

The answer is;

.85 times the cost to make the shirt

4 0

2 years ago