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const2013 [10]
3 years ago
9

A cube has edge length s units. Use an exponent to write an expression for its volume

Mathematics
1 answer:
Brut [27]3 years ago
3 0

Answer:

ss^{3}

Step-by-step explanation:

A cube's volume is its length * width * height. Its length, width, and height are all equal to s.

A cube's edge length is another word for its side length, which is the same for every edge in the cube.

To write the equation for the volume with s substituted for length, width, and height, we get that volume = ss^{3}.

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How many different committees can be formed from 12 teachers Abs 43 students of the committee consists of 4 teachers and 3 stude
Marina86 [1]

Answer:

6108795

Step-by-step explanation:

To obtain the number of ways the committee can be selected :

4 teachers from the 12 teachers available and 3 students from the 43 students available

Using combinatorics :

12C4 * 43C3

recall :

nCr = n! ÷ (n - r)!r!

Using calculator :

12C4 = 495

43C3 = 12341

12C4 * 43C3

495 * 12341

= 6108795

3 0
2 years ago
I need the know the answer in A B C because I’m confused
bulgar [2K]

Answer:

Step-by-step explanation:

a) edj

b) ed

c) i think ag

4 0
2 years ago
Which answer choice states the range of the following
ankoles [38]
<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you forgot to write the relation so I could help you providing my own relation.

Remember that for any relation, we have a set A that matches the the domain (also called the set of inputs) of the function and the set B that contains the range (also called the set of outputs).

Suppose our relation is:

y=-10+x \\ \\ For \ x=1,2,3,4,5

So the x-values represents the set A and the y-values the set B. Therefore, by evaluating the x-values into our relation we get:

\text{If x=1} \\ \\ y=-10+1=-9 \\ \\ \\ \text{If x=2} \\ \\ y=-10+2=-8 \\ \\ \\ \text{If x=3} \\ \\ y=-10+3=-7 \\ \\ \\ \text{If x=4} \\ \\ y=-10+4=-6 \\ \\ \\ \text{If x=5} \\ \\ y=-10+5=-5

So in this context, the correct option is:

B) (-9,-8, -7, -6, -5}

6 0
3 years ago
How to find mean average diviation
Ilia_Sergeevich [38]
<span>To find the mean absolute deviation of the data, start by finding the mean of the data set.Find the sum of the data values, and divide the sum by the number of data values.Find the absolute value of the difference between each data value and the mean: ...<span>Find the sum of the absolute values of the differences.</span></span>
5 0
3 years ago
A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon
melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.  

X~ Uniform(0,100)

Then the probability mass function is given as follows.

f(x) = P(X=x) = 1/100  \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0  \,\,\,\, \text{otherwise}

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located  70 meters away from city A then the mid point between 20 and 70  is (70+20)/2 = 45 then we can represent D as follows

D(x) =\left\{ \begin{array}{ll}  x  & \mbox{if } 0\leq x \leq 20 \\  x-20 & \mbox{if } 20\leq x < 45\\                70-x & \mbox{if } 45 \leq x \leq 70\\                x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable Y = D(X), Y is a random variable as well, remember that there is a theorem that says that

E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx

Where f(x) is the probability mass function of X. Using the information of our problem

E[Y] = \int\limits_{-\infty}^{\infty}  D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx  \bigg]\\= \frac{51}{4} = 12.75

3 0
3 years ago
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