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3 years ago

Does 2 and 12 have a least common multiple of 24

Mathematics

1 answer:

vova2212 [387]3 years ago

6 0

Answer:

Least common multiple (LCM) of 12 and 24 is 24.

Step-by-step explanation:

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David wants to buy a new tablet computer. He looks at a sales ad and sees that a computer store is selling a tablet computer for

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Answer:

Part A: x÷3=$499

Part B: $1497

Step-by-step explanation:

A: Because to find a fraction of somthing we have to divide, so in this case we divided the original price by 3 to get $499.

B:To find the original price we have to multiply the one third of it ($499) by 3 to get the original amount.

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3 years ago

A sample of 100 is drawn from a population with a proportion equal to 0.50. Determine the probability of observing between 43 an

diamong [38]

Answer:

The probability of observing between 43 and 64 successes=0.93132

Step-by-step explanation:

We are given that

n=100

p=0.50

We have to find the probability of observing between 43 and 64 successes.

Let X be the random variable which represent the success of population.

It follows binomial distribution .

Therefore,

Mean, $\mu=np=100\times 0.50=50$

Standard deviation , $\sigma=\sqrt{np(1-p)}$

$\sigma=\sqrt{100\times 0.50(1-0.50)]$

$\sigma=5$

Now,

$P(43\leq x\leq 64)=P(42.5\leq x\leq 64.5)$

$P(42.5\leq x\leq 64.5)=P(\frac{42.5-50}{5}\leq Z\leq \frac{64.5-50}{5})$

$=P(-1.5\leq Z\leq 2.9)$

$P(42.5\leq x\leq 64.5)=P(Z\leq 2.9)-P(Z\leq- 1.5)$

$P(42.5\leq x\leq 64.5)=0.99813-0.06681$

$P(43\leq x\leq 64)=0.93132$

Hence, the probability of observing between 43 and 64 successes=0.93132

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