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2 years ago

Help me please. I dont get this.

Mathematics

1 answer:

SpyIntel [72]2 years ago

8 0

Answer:

6. 19 candles

7. 6 pills

Step-by-step explanation:

6. If a particular candle burns for 2 3/4 hours (=2.75) and you want to use similar candles to burn one at a time over 10 days for 5 hours each day, find the total number of hours: 10 x 5 = 50 hours. Then, divide by the amount of time it takes for one candle to burn: 10÷2.75 = 18.18. Since the answer is a decimal, you will need to round to the next whole number = 19 candles.

7. Given the rules that no more than three pills may be taken in a four-hour period and each pill must be taken 1 1/2 hours (=1.5) apart, you can take the total number of hours (10) and divide by the time between each pill (1.5):

10 ÷ 1.5 = 6.7

Since you won't take part of a pill, the most you can take is 6 and because the intervals are 1.5 hours, 1.5 + 1.5 + 1.5 = 4.5, you will not have taken more than 3 in any four hour period.

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Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

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 brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that $p = 0.9$ .

Sample of 10

This means that $n = 10$

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

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

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

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