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Dahasolnce [82]
3 years ago
6

if 3 gallons of paint cover a surface containing 825 square feet, how many gallons will need to be painted in 1,295 square feet

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0
Ratio and proprtion

paint/area=3/825

so if we wat 1295

3/825=?/1295
multily both sides by 1295
4.7090909090909090909090909090909=?
so about 4.7 gallons needed
just buy 5 gallons or 4.75 if possible

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A pet supply store sells a 20-pound bag of dog food $23.44.Find the unit price.
satela [25.4K]

Answer:

1.172 dollars per pound

Step-by-step explanation:

Given : A pet supply store sells a 20-pound bag of dog food $23.44.

To Find :Find the unit price.

Solution :

Cost of 20-pound bag of food = $23.44

So, Cost of 1-pound bag of food = \frac{23.44}{20}

                                                     = 1.172

For unit price we should divide the cost by no. of pounds

So, the error is you have divided the no. of pounds by cost

Hence the unit price is 1.172 dollars per pound

7 0
4 years ago
For a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is need
irina [24]
A button with a circumference of 7.38 cm will need a buttonhole with the size of 2.35 cm.

Since the circumference is equivalent to 7.38 cm, the formula can be displayed as follows:
7.38 cm = 2<span>πr
r = 7.38cm/2</span><span>π
r= 1.1751592 cm
diameter = 2r
               = 2.3503184 cm or approximately 2.35 cm</span>
7 0
4 years ago
Find the mid point of (7,-8) and (-1,6)
Sever21 [200]

Answer:

(3, -1)

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Grading managers. Some companies "grade on a bell curve" to compare the performance of their managers and professional workers.
Monica [59]

Answer:

\mu = 250, \sigma = 175.781

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grades of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

For this case we have two conditions given:

P(X

P(X>475) = 0.1 or equivalently P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

So we can find a value from the normal standard distribution that accumulates 0.1 and 0.9 of the area in the left, for this case the two values are:

z= -1.28, z=-1.28

We can verify that P(Z<-1.28) =0.1[/tex] and P(Z<1.28) =0.9[/tex]

And then using the z score we have the following formulas:

-1.28 = \frac{25 -\mu}{\sigma}   (1)

1.28 = \frac{475 -\mu}{\sigma}   (2)

If we add equations (1) and (2) we got:

\frac{25 -\mu}{\sigma} + \frac{475 -\mu}{\sigma} =0

We can multiply both sides of the equation by \sigma and we got:

25+ 475 -2 \mu = 0

\mu = \frac{500}{2}= 250

And then we can find the standard deviation for example from equation (1) and we got:

\sigma = \frac{25-250}{-1.28}=175.781

So then the answer would be:

\mu = 250, \sigma = 175.781

 

3 0
3 years ago
What is 528 1/5 - 89 3/5
sergiy2304 [10]
The answer is 438.6...
(528+1/5)-(89+3/5)=438.6
8 0
3 years ago
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