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zmey [24]
3 years ago
11

Tyler can shovel the driveway in 2 hours Dakota can complete the job in 90 minutes if they work together how long will it take

Mathematics
1 answer:
topjm [15]3 years ago
5 0
One JOB = 1  and 2 hours = 120 min

Tyler Rate per minute: 1/120 (in 1 minute he performes 1/120 of the job)
Dakota<span> Rate per minute: 1/90 (in 1 minute he performes 1/90 of the job)

Tyler's + Dakota's rate per 1 minute = 1/120 + 1/90  = 7/360 (Job/minutes)

7/360 of the job was performed in 1 minute
</span>a complete JOB =1 to be performed in x minutes (Rule of three)

x = 1x1/(7/360) that equals to 360/7 and x (time of both) = 51 min 42

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Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000 signatures bef
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Answer:

The correct opion is;

7 ≤ p

Step-by-step explanation:

The number of signatures Devin needs to collect = 1,000 signatures

The numer of signatures Devin has already = 380 signatures

The number ofsignatures each petition page can hold = 80 signatures

Therefore;

The number of extra signatures required = 1,000 - 380 = 680 signatures

The number of petition pages required = 1,000 petitions /(80 signatures/page)   = 12.5 pages

The number of pages already filled = 380 petitions /(80 signatures/page) = 4.75 pages

The number of pages remaining, p = 12.5 - 4.75 = 7.75 pages

Therefore, 7 ≤ p.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she
Nataly_w [17]

Answer:

The minimum sample size needed is n = (\frac{1.96\sqrt{\sigma}}{4})^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

M = z\frac{\sigma}{\sqrt{n}}

4 = 1.96\frac{\sigma}{\sqrt{n}}

4\sqrt{n} = 1.96\sqrt{\sigma}

\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}

(\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2

n = (\frac{1.96\sqrt{\sigma}}{4})^2

The minimum sample size needed is n = (\frac{1.96\sqrt{\sigma}}{4})^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

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3 years ago
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Answer:

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