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4 years ago

Eight times five plus nine

Mathematics

1 answer:

Vedmedyk [2.9K]4 years ago

6 0

{49} 8•5=40. 9+40= 49

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Classify the decimal forms of 3/12 and and 2/9 as repeating or as repeating or terminating.

andre [41]

Answer:

3/12: terminating; 2/9: repeating

Step-by-step explanation:

3/12=0.25 terminating as it has a finite number of digits after the decimal point.

2/9=0.222.... repeating decimal as its number is repeated indefinitely.

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3 years ago

If g is the variable, which mathematical sentence expresses the information below? "The number of gallons of gas in the tank plu

Firdavs [7]

An equation for the sentence would be g + 7 = 12, where g is the unknown number of gallons.

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3 years ago

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Triple the sum of 33 and 27

kompoz [17]

3(33 + 27) =
3(60) =
180 <==

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3 years ago

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What is the volume of this pyramid shown ?

aalyn [17]

Hello!
(Length x height x width) ÷ 3 = volume
6 x 3 x 7
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3 years ago

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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:

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

So, $P(x\geq 17)$ is equal to:

$P(x\geq 17)=0.00108719+0.00018119+0.00001907+0.00000095\\P(x\geq 17)=0.00128$

8 0

3 years ago