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2 years ago

11

Winton wants to find the volume of a cube. He uses the formula for volume of a cube V = s to the power of 3 where s is the lengt

h of one side of the cube. if s = 0.5 centimeter, what is the volume of the cube?

1 answer:

VARVARA [1.3K]2 years ago

8 0

Answer:

Answer: 0.125 cm^3

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Can any one help me on these two PleaseI

igor_vitrenko [27]

Answer:

This is what i get

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to

melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

$P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}$

Mean of X:

$E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42$

Variance of X:

$E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}$

$var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58$

5 0

3 years ago

Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the ang

kherson [118]

Answer:

<h3>AB ≈ 70m</h3>

Step-by-step explanation:

Check the attachment for the diagram.

You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;

tan 35° = opposite/adjacent

tan 35° = AB/BC

tan 35° = AB/100

AB = 100tan35°

AB = 100 * 0.7002

AB = 70.02m

Hence the distance across a lake between A and B is approximately 70m

5 0

3 years ago

Geometry Helps please<br> (Only correct Answers only please) Thank you very much.

Levart [38]

<h3>Exact Answer: (160/3)pi</h3><h3>Approximate Answer: 167.47</h3>

The approximate answer results when you use pi = 3.14, and this approximate answer is rounded to two decimal places

note that (160/3)pi is the same as 160pi/3

========================================================

Work Shown:

r = radius = 4

h = height = 10

V = volume of cone

V = (1/3)pi*r^2*h

V = (1/3)pi*4^2*10

V = (160/3)pi exact answer

V = (160/3)*3.14

V = 167.46666....

V = 167.47 approximate answer rounded to two decimal places

8 0

3 years ago

Insert parentheses to make each statement true20-25

Rashid [163]

20: 30-4 x (2+5)=2
21. 17-(8-5)= 14
22. You put (10/2)-3+1, but it isn't necessary

Explanation: to solve these equations, use PEMDAS (parentheses, exponents, multiplication, division.) these equations don't involve exponents, though, so ignore that part. If 30 is left alone, you would multiply 4x2 before doing anything else. This would mean you would have 30-8+5' which gets you to 27, an incorrect answer. However, if you put parentheses around (2+5), you add those first, meaning you would then have 30-4(2+5) = 30-4(7) = 30-28= 2.
Try to do the rest; if you're still having trouble add a comment

7 0

2 years ago