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3 years ago

2/7 x (-3/8) i need the answer

Mathematics

1 answer:

SOVA2 [1]3 years ago

8 0

Multiply top by top
2 * -3 = -6
Multiply bottom
7 * 8 = 56
The answer is -6/56
Simplify = -3/28

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Why does it take 10 copies of 1/6 to make the same amount of 5 copies of 1/3?

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4 years ago

Jermaine lives in North Carolina and pays 5.5% in sales tax. If he just bought a pair of slacks that cost $28, what was the tota

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3 years ago

Read 2 more answers

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3 years ago

In a taste test of a generic soda versus a brand name soda, 35% of tasters can distinguish between the colas. 30 tasters are ask

Sedaia [141]

Answer:

a) $n = 30, p = 0.35$

b) 10.5 correct guesses

c) 3.53% probability of exactly 6 correct guesses.

Step-by-step explanation:

For each taster, there are only two possible outcomes. Either they will distinguish between the colas, or they will not. The tests are independent. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

35% of tasters can distinguish between the colas.

This means that $p = 0.35$

30 tasters are asked to take the taste test and guess which cup contains the brand name soda.

This means that $n = 30$

a. The count of correct guesses in 30 taste tests has a Binomial distribution. What are n and p?

$n = 30, p = 0.35$

b. What is the mean number of correct guesses in many repetitions?

$E(X) = np = 30*0.35 = 10.5$

c. What is the probability of exactly 6 correct guesses?

This is P(X = 6).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{30,6}.(0.35)^{6}.(0.65)^{24} = 0.0353$

3.53% probability of exactly 6 correct guesses.

7 0

3 years ago