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leonid [27]
2 years ago
8

It takes Leon 17 hours to seal his driveway working by himself. If Michael helps Leon, they can seal the driveway in 2 hours. Ho

w long would it take Michael to seal the driveway close?
Mathematics
1 answer:
Norma-Jean [14]2 years ago
8 0

Answer:

It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close

Step-by-step explanation:

Hi

Leon do the work in 17 hours that means the rate of his work is \frac{1}{17} work/hr, so he do \frac{2}{17} of the work in two hours, therefore Michael do the other \frac{15}{17} of the work, thus Michael rate will be \frac{15}{17} \div\frac{1}{2} =\frac{30}{17} work/hour.

So it takes Michael 1h+\frac{4}{17}h to complete the work, or \frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs

1h \ 14 min \ 7secs

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What is the midpoint between (-6,2) and (10,4)
mario62 [17]

Answer:

(2,3)

Step-by-step explanation:

To find the x-coordinate of the midpoint, find the average of -6 and 10.  It is 4/2, or 2.  

To find the y-coordinate, proceed similarly.  Find the average of 2 and 4.  It is 3.

Thus, the midpoint is (2, 3).

7 0
3 years ago
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 117 mg/dl and
TiliK225 [7]

Answer:

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

Step-by-step explanation:

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

Normal probability distribution

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

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 117, \sigma = 10.6, n = 6, s = \frac{10.6}{\sqrt{6}} = 4.33

What is the level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L ?

This is the value of X when Z has a pvalue of 1-0.01 = 0.99. So X when Z = 2.33.

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

By the Central Limit Theorem

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

2.33 = \frac{X - 117}{4.33}

X - 117 = 2.33*4.33

X = 127.1

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

6 0
3 years ago
Jerry had 1 gallon of ice cream he used 3/10 gallon to make chocolate milkshakes and 0.40 gallon to make vanilla milkshakes how
Gre4nikov [31]
Let
x------> the <span>remaining ice cream

we know that
3/10------> 0.30
so

x=1-0.30-0.40-----> x=1-0.70------> x=0.30 gal------> 3/10 gal

the answer is
3/10 gal</span>
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Answer:

Go to desmos and it will answer literally all of your graphing questions. Just type in desmos graphing calculator.

Step-by-step explanation:

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