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3 years ago

Least common multiple. of 5 ,10 and 16

Mathematics

2 answers:

Andreyy893 years ago

4 0

Answer:

Step-by-step explanation:

There is no lcm other than 1 between these 3 numbers

5 factors: 1, 5

10 factors: 10,1,5,2

16 factors:16,1,4,4,8,2

All of these have the number one in common, hence the answer

Ksenya-84 [330]3 years ago

4 0

Answer:

LCM is 80

Step-by-step explanation:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80

10, 20, 30, 40, 50, 60, 70, 80

16, 32, 48, 64, 80

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Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he

algol13

ANSWER
0.756

EXPLANATION

Let x represent number of correct answers.

We can find

$P(x = 0 \text{ or } x = 1)$

which leads us to

$P(x\ge 2) = 1 - P(x = 0\text{ or }x = 1)$

which uses the compliment of $P(x = 0\text{ or }x = 1)$ to find the probability of getting at least 2 questions correct.

Note that since $P(x=0)$ and $P(x=1)$ are mutually exclusive, we have

$P(x = 0\text{ or }x = 1) = P(x=0) + P(x=1)$

Then $P(x=0) = 3^{10}/4^{10} = (3/4)^{10}$ as we have $3^{10}$ to answer the questions incorrectly divided by the total $4^{10}$ to answer the questions.

Exactly 1 answer correct: $P(x=1) = {}_{10}C_1 \cdot(3/4)^9(1/4)^1$

Therefore

$\begin{aligned}
P(x \ge 2) &= 1 - P(x = 0\text{ or }x =1) \\
&=1 - \big[P(x=0) + P(x=1)\big] \\
&=1 - \left[ (3/4)^{10} + {}_{10}C_1 \cdot (3/4)^9(1/4)^1 \right] \\
&\approx 0.756
\end{aligned}$

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Step-by-step explanation:

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