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marusya05 [52]
2 years ago
7

you are planning to purchase displays for your store which has 2400 sq ft of selling space. Each display has a footprint of 10 f

t x 4 ft. You want to leave 60% open space in your store for walking around. How many displays can you fit?
Mathematics
1 answer:
Fynjy0 [20]2 years ago
5 0

60% of 2,400 is 1,440. So in all actuallity, you only have 960 square feet to fill with displays. 10*4= 40ft^2. 960/40=24.

You can fit 24 displays in your store while having 60% walking space.

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What is the liability to equity ratio of chester? select: 1 2.84 1.61 .31 4.35?
stiv31 [10]

Answer:

1.61

Step-by-step explanation:

The liability to equity ratio measures the gearing risk or leverage of the company. It is a financial ratio which is calculated by dividing total liabilities of a company by its shareholders equity. It measure the degree to which a company is financing its operations with debt.

8 0
2 years ago
The area of a rectangle is 5x^3+19+6x-18 with length x + 3. Using synthetic division, what is the width of the rectangle?
adell [148]
               5  19    6  -18
        -3     
                    -15 -12   18

                 5    4   -6    0

Therefore, the width is 5x^2 + 4x - 6
8 0
2 years ago
Read 2 more answers
In a group of 90 students, 65 watch rugby, 71 play a sport and 15 do neither.
Dimas [21]

Answer:

\frac{14}{75} probability of selecting a student who plays a sport but does not watch rugby out of the people who play a sport.

Step-by-step explanation:

"Find the probability that a student chosen at random from those who play a sport  does not watch rugby."

90-15= 75 students either play a sport OR watch rugby

65+71-75=

136-75=

61 people play a sport AND watches rugby

14 people play a sport and DOES NOT watch rugby

\frac{14}{75} is the probability of selecting a student who plays a sport but does not watch rugby out of the people who play a sport.

4 0
2 years ago
A stone is dropped into a barrel of water and sinks to the bottom. The ball is completely covered by water. By how much does the
Rom4ik [11]

Answer:

Answer: 5/12 or approx. 0.42

Step-by-step explanation:

The ball will displace as much water as its volume.

Meaning, the volume of the ball and the volume of the increase in water in the barrel will be equal.

Volume of a sphere:

V_s=\frac{4}{3} \pi r^3

The radius is half the diameter. The diameter of the sphere is 10, thus:

r = d/2 = 10/2 = 5

5^3 = 5*5*5 = 25*5 = 125

V_s=\frac{4}{3} \pi * 5^3=\frac{4}{3} \pi * 125

The volume of a cylinder, which will be the shape of the increase in water, is the following:

V_c=\pi r^2 h

We know the radius r, as we know the diameter.

r=d/2=40/2=20

V_c=\pi r^2 h=\pi h * 20^2 = \pi h * 400

We are looking for the height of the cylinder, h, as that will be the height of the water rise.

Since we know these 2 volumes are the same, we'll set them equal to each other and solve the equation:

V_s = V_c

\frac{4}{3} * 125 * \pi = 400 * h * \pi

We can get rid of pi by dividing both sides by pi:

\frac{4}{3} * 125 = 400 * h

And now divide both sides by 400:

\frac{4}{3} * \frac{125}{400}= h

Just reversing it and putting h to the left:

h = \frac{4}{3} * \frac{125}{400} = \frac{4 * 125}{3 * 400}

I see that I can divide both the numerator and the denominator by 4:

h =\frac{125}{3 * 100}= \frac{125}{300}

I'll now divide both the numerator and the denominator by 25 to simplify the expression:

h=\frac{125}{300} =\frac{125 / 25}{300 / 25} = \frac{5}{12}

Answer: The water rises by 5/12 (five twelfths).

If I want an approximate decimal answer, I can simply run this expression in a calculator:

\frac{5}{12} ≈ 0.416666667 ≈ 0.42

7 0
2 years ago
Calculate the standard deviation. Variance = 107.76. Mean = 34.2
Llana [10]

Answer:

The standard deviation is 10.38

Step-by-step explanation:

Given;

Variance, v = 107.76

mean, x = 34.2

The standard deviation is given by;

standard deviation = √variance

standard deviation = √107.76

standard deviation =  10.381

standard deviation = 10.38 (two decimal places)

Therefore, the standard deviation is 10.38

8 0
2 years ago
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