What’s the difference between a supplementary and complementary angle?

1 answer:

8 0

Answer:

Supplementary angle is 180 degrees

Complementary angles are 90 degrees

Explanation:

I’m in honors class. Trust me.

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Distribute and combine like terms.<br> 7(4a+3b-6)-3(3a-2b+4)

andrew11 [14]

Answer:

19a+27b-54

Step-by-step explanation:

First distribute 7 into the first equation. (4a+3b-6) Multiply each coefficient and the constant by 7.

28a+21b-42

Then do the same for -3 and (3a-2b+4).

-9a+6b-12

Rewrite the equation 28a+21b-42-9a+6b-12.

Combine like terms: 19a+27b-54

5 0

4 years ago

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lora16 [44]

Answer: the anser is

Step-by-step explanation:

9/24= 0.375 0.375x40=15

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8 0

3 years ago

A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict

dlinn [17]

Answer:

$P(x\geq 17)=0.00128$

Step-by-step explanation:

The probability that the man gets x out of 20 correct follows a Binomial distribution, so the probability is calculated as:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}$

Where n is the number of identical experiments and p is the probability of success. In this case n is 20.

Additionally, if he has no ESP the probability that he predict correctly is 0.5, because he is only guessing.

Then, the probability that he gets x out of 20 correct is equal to:

$P(x)=\frac{20!}{x!(20-x)!}*0.5^{x}*(1-0.5)^{20-x}$

Therefore the probability that he would have done at least 17 out of 20 well if he had no ESP is:

$P(x\geq 17)=P(17)+P(18)+P(19)+P(20)\\$

Where:

$P(17)=\frac{20!}{17!(20-17)!}*0.5^{17}*(1-0.5)^{20-17}=0.00108719\\P(18)=\frac{20!}{18!(20-18)!}*0.5^{18}*(1-0.5)^{20-18}=0.00018119\\P(19)=\frac{20!}{19!(20-19)!}*0.5^{19}*(1-0.5)^{20-19}=0.00001907\\P(20)=\frac{20!}{20!(20-20)!}*0.5^{20}*(1-0.5)^{20-20}=0.00000095$