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2 years ago

A cube with an edge of length s has a volume of 27 units. What is the length of s?

Mathematics

1 answer:

matrenka [14]2 years ago

5 0

Answer:

s = 3

Step-by-step explanation:

The volume formula for a cube is V = s^3, where “s” is the edge length. Since we know the volume and need to find “s,” we just do the inverse operation for an exponent, which is a radical. The cubed root of 27 is 3, so there’s your answer! Hope this is helpful & accurate. Best wishes.

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The length of a rectangular plot is 6m less than thrice its breath. Find the dimensions of the plot if its perimeter is 148m.

Elena-2011 [213]

length of a rectangle is 6 less than 3 times its width"

L = 3W-6

"perimeter of the rectangle is 148 meters"

2L + 2W = 148

L + W = 74

(3W-6) + W = 74

4W = 80

W = 20 m

L = 3W-6 = 54 m

6 0

2 years ago

Suppose that salaries for recent graduates of one university have a mean of $25,700 with a standard deviation of $1350. Using Ch

sergeinik [125]

Answer:

75% of the data will reside in the range 23000 to 28400.

Step-by-step explanation :

To find the range of values :

We need to find the values that deviate from the mean. Since we want at least 75% of the data to reside between the range therefore we have,

$1 - \frac{1}{k^2} =\frac{75}{100}$

Solving this, we would get k = 2 which shows the value one needs to find lies outside the range.

Range is given by : mean +/- (z score) × (value of a standard deviation)

⇒ Range : 25700 +/- 2 × 1350

⇒ Range : (25700 - 2700) to (25700 + 2700)

Hence, 75% of the data will reside in the range 23000 to 28400.

3 0

2 years ago

The Midpoint of GH is M(4,-3). One endpoint is G(-2,2). Find the coordinates of endpoint H.

77julia77 [94]

Answer:

Step-by-step explanation:

(x - 2)/2 = 4

x - 2 = 8

x = 10

(y + 2)/2 = -3

y + 2 = -6

y = -8

(10, -8)

3 0

2 years ago

You offer senior citizens a 20% discount on their tune-ups at your gas station. Assuming that an average of 50 senior citizens g

GREYUIT [131]

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2 years ago

Find the simplify form of the expression. Give your answer in scientific notation:

coldgirl [10]

You multiply the 2 values together to get 1.5*10^12

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3 years ago