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Viefleur [7K]
3 years ago
15

Tommy will spend start fraction, 1/5 of his time this weekend studying for his 4 final exams. What fraction of the weekend will

he spend studying for each of his 4 exams if he spends the same amount of time studying for each exam? of the weekend
Mathematics
2 answers:
maxonik [38]3 years ago
8 0

Answer:

1/20

Step-by-step explanation:

(1/5) ÷ 4

*remember, you don't divide fractions, you multiply the first fraction by the inverse (flip it upside down) of the second fraction.*

(1/5) × (1/4) = (1/20)

beks73 [17]3 years ago
4 0

Answer:

\frac{1}{20} of weekend

Step-by-step explanation:

We have been given that Tommy will spend 1/5 of his time this weekend studying for his 4 final exams. We are asked to amount of time spent on studying each subject.

To find the amount of time spent on studying each subject, we will divide time spent on all subjects by number of subjects.

\text{Time spent on studying each subject}=\frac{1}{5}\div 4

\text{Time spent on studying each subject}=\frac{1}{5}\div\frac{4}{1}

Convert to multiplication problem:

\text{Time spent on studying each subject}=\frac{1}{5}\times \frac{1}{4}

\text{Time spent on studying each subject}=\frac{1}{5\times4}

\text{Time spent on studying each subject}=\frac{1}{20}

Therefore, Tommy spent \frac{1}{20} of weekend on studying each subject.

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Answer:

73.3% probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100​ jars, will be at most 0.02​ ounce

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theore.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

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In this question, we have that:

\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100​ jars, will be at most 0.02​ ounce

That is, probability of the sample mean between 8.2-0.02 = 8.18 and 8.2 + 0.02 = 8.22, which is the pvalue of Z when X = 8.22 subtracted by the pvalue of Z when X = 8.18.

X = 8.22

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{8.22 - 8.2}{0.018}

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X = 8.18

Z = \frac{X - \mu}{s}

Z = \frac{8.18 - 8.2}{0.018}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335.

0.8665 - 0.1335 = 0.7330

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