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mina [271]
2 years ago
14

You wish to paint a storage shed. Its four walls measure 7 ft. high and 8 ft. wide each. If one gallon of paint covers 160 sq. f

t., how many gallons of paint will you need?
Paint required = gallons.
Mathematics
2 answers:
Levart [38]2 years ago
5 0
1.4 gallons exactly or 2 gallon buckets
hoa [83]2 years ago
5 0

Answer:

1.4\ gallons

Step-by-step explanation:

Step 1

Find the area of one wall

Multiply the high by the wide

so

A=7*8=56\ ft^{2}

Step 2

Find the area of four walls

Multiply the area of one wall by four

A=4*56=224\ ft^{2}

Step 3

By proportion calculate how many gallons of paint are needed

\frac{1}{160} \frac{gallon}{ft^{2}}=\frac{x}{224} \frac{gallons}{ft^{2}}\\ \\x=224/160\\ \\x=1.4\ gallons

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Trina is cutting ribbon to make bows if she has 7.5 yards of ribbon and she needs 0.4 yards for each bow how many bows can she m
True [87]

Answer:

She can make 18 bows.

Step-by-step explanation:

0.4 x 18 = 7.2, and you cannot go over since she only has a supply of 7.5.

Hope it helps!

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4 0
2 years ago
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Can someone please explain functions and how find the y intercept when in this form
Harrizon [31]

Slope-intercept form:  y = mx + b

[m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis]

Since you know:

m = -2         Substitute/plug it into the equation

y = mx + b

y = -2x + b     To find b, plug in the point (7, -4) into the equation

-4 = -2(7) + b

-4 = -14 + b     Add 14 on both sides to get "b" by itself

-4 + 14 = -14 + 14 + b

10 = b       Now that you found b or the y-intercept, plug it in

y = -2x + 10

So to find the y-intercept, just plug in the point you were given into the equation once you had substituted in the slope. The slope tells you how many/the number of units from each point.

Slope can also be seen as:

m=\frac{rise}{run}

"rise" is the number of units you go up(+ number) or down(- number) from each point. (y-axis)

"run" is the number of units you go to the right from each point (x-axis)

For example, if you were to graph this line,

you could first plot a point at the y-intercept (0, 10). To plot the next point, you use the slope -2 or -2/1. So from (0, 10) you would go down 2 units and to the right 1 unit, therefore the next point you would plot would be (1, 8)

5 0
2 years ago
A machine can make a box in 1 3/10 seconds. How many boxes can the machine make in 1 hour
Kazeer [188]

Since a machine make a box per 0.3 seconds, 1 hour would be 3600. 3600 divided by 0.3 is 12000. And that is the answer.

     

4 0
3 years ago
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aliina [53]
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3 years ago
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An instructor in a college class recently gave an exam that was worth a total of 100 points. The instructor inadvertently made t
solniwko [45]

Answer:

B) Method 2 will increase the standard deviation of the students' scores.

Step-by-step explanation:

Given that an instructor in a college class recently gave an exam that was worth a total of 100 points.

The average score for his students was 43 and the standard deviation of the scores was 5 points.

And now he is considering two different strategies for rescaling the exam results of which:

Method 1 = Add 17 points to everyone's score.

Method 2 = Multiply everyone's score by 1.7 .

And we have to check what will be the impact of these methods on the standard deviation of the students' scores.

For this let us consider a simple example to understand this:

Firstly, Formula for calculating Standard Deviation =  \sqrt{\frac{\sum (X-Xbar)^{2}}{n-1}}

Suppose,

     X             X - Xbar       (X - Xbar)^{2}

     3              3 - 6 = -3         -3 * -3 = 9

     5              5 - 6 = -1          -1 * -1 = 1

     10            10 - 6 = 4          4 * 4 = 16

<em>Mean of above data, Xbar</em> = \frac{3+ 5+10}{3} = 6

<em>Standard Deviation of data </em>= \sqrt{\frac{26}{3-1} } = 3.6055

Now let us suppose that we multiply each value of above data with 2 so the new data will be:

     X                X - Xbar           (X - Xbar)^{2}

 3*2 = 6        6 - 12 = -6         -6 * -6 = 36

 5*2 = 10       10 - 12 = -2       -2 * -2 = 4

10*2 =20      20 - 12 = 8         8 * 8 = 64

<em>Mean of new data, Xbar </em>= \frac{6+ 10+20}{3} = 12

<em>Standard Deviation of new data</em> = \sqrt{\frac{104}{3-1} } = 7.2111

<em>Hence, we see that when we multiply any value to the data the standard deviation will increase and in other words it will multiplied by that value which value we multiplied with each data value i.e. when we multiply each data value with 2 the standard deviation also get multiplied by as </em>

  3.6055 * 2 = 7.2111

Therefore option B is correct that Method 2 will increase the standard deviation of the students' scores.

<em>And on the other hand Similarly by adding any constant to the data the Standard Deviation will remain same. Therefore Method 1 will have no impact on standard deviation of the students' scores.</em>

8 0
3 years ago
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