A sporting goods store is selling all their exercise equipment for 30% off.

A cube has a surface area of 900 cm what is the number of cubic cm in the volume of the cube

Anna [14]

SA = 900cm^2
SA = 6×(s^2), where "s" is one side or edge of each square surface face
900 = 6s^2
150 = s^2
$\sqrt{150} = \sqrt{ {s}^{2} }$
$\sqrt{25} \times \sqrt{6} = s$
$5 \sqrt{6} = s$
So each side is
$5 \sqrt{6} \: cm \: long$
The volume (V) of a cube is:
$v = {s}^{3} = (5\sqrt{6})^{3} = {12.247}^{3} \\ = 1837 \: {cm}^{2}$

7 0

4 years ago

A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample informa

Misha Larkins [42]

Answer: V(X) = 0.96

Step-by-step explanation: Variance is defined as the average of the squared difference from the sample or population mean.

For a discrete frequency distribution is calculated following the steps:

1) Determine expected value or mean:

$E(X)=\frac{\Sigma xf}{\Sigma f}$

$E(X)=\frac{0(700)+1(900)+2(600)+3(300)}{2500}$

E(X) = 1.2

2) Multiply frequency and the squared difference of x and expected value:

$f(x-E(X))^{2}$

$700(0-1.2)^{2}=1008\\900(1-1.2)^{2} = 36\\600(2-1.2)^{2} = 384\\300(3-1.2)^{2} = 972$

3) Add them:

$\Sigma [f(x-E(X))^{2}]$ = 1008 + 36 + 384 + 972 = 2400

4) Divide the sum per frequency total:

$V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}$

$V(X)=\frac{2400}{2500}$

V(X) = 0.96

The variance of the number of cups of coffee is 0.96.

7 0

3 years ago

Someone help please i am so bad at point slope stuff

Fynjy0 [20]

1) Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). y = 1/2x

2)Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1).
m = (-9 - 1) / (6 - 7) = -10/-1 = 10
y + 9 = 10 (x - 6)
y = 10x - 69

3) A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.

4)Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4).
m = (5 - 4) / (-3 - -1) = 1/-2
y - 5 = (-1/2) (x +3)
y = (-1/2)x + 7/2

5) Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1).
m = (6-1)/(6 - -6) = 5 / 12
y - 6 = (5/12) (x-6)
y = (5/12)x + 17 / 2

6) Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4).
m = (2 - -4) / (-8 -1) = 6 / -7
y - 2 = (-6/7) (x + 8)
y = (-6/7)x - 50 / 7

7) Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1).
m = (-9 - 1) / (5 - -6) = -10 / 11
y + 9 = (-10 / 11) (x - 5)
y = (-10 / 11)x -49/11

3 0

4 years ago

3/4+5/36+7/144+.......+17/5184+19/8100 (a)0.95 (b)1 (c) 0.99 (d)0.98

abruzzese [7]

Answer:

B) 1

Step-by-step explanation:

All I did was simplify the equation

1509/1600

(Decimal: 0.943125)

HOPE THIS HELPS!!!! :)

<333333333333

4 0

4 years ago

Given the functions f(x) = 3x2, g(x) = x2 - 4x + 5, and h(x) = -2x2 + 4x + 1, rank them from least to greatest based on their ax

artcher [175]

g(x), h(x), f(x)
f(x), h(x), g(x)
g(x), f(x), h(x)
h(x), f(x), g(x)

6 0

3 years ago