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3 years ago

13

a set contains the numbers 0,6,12, and 15 Two different numbers are selected randomly from this set. What is the probability tha

t the sum is greater than 12? What is the probabilty the product is 72?

1 answer:

steposvetlana [31]3 years ago

4 0

Answer:

the probability is 5 i think

Step-by-step explanation:

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How do I find B in y=mx+b?

mixas84 [53]

If you already have an equation, all you have to do is locate the slope and look after it. But if it's in a graph, it's where the line is crossing the y-axis.

An example of the equation would be

y=2x+3
y=mx+b
2 would be m which is slope
and 3 would be b which is the y-intercept

3 0

3 years ago

3. Solve the system using elimination (not substitution or matrices). negative 2 x plus y minus 2 z equals negative 8A N D7 x pl

riadik2000 [5.3K]

Elimination Method

$\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ 5X+2Y-Z=-9 \end{gathered}$

If we multiply the equation 3 by (-1) we obtain this:

$\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ -5X-2Y+Z=9 \end{gathered}$

If we add them we obtain 0, therefore there are infinite solutions. So, let's write it in terms of Z

1. Using the 3rd equation we can obtain X(Y,Z)

$\begin{gathered} 5X=-9-2Y+Z \\ X=\frac{-9-2Y+Z}{5} \\ \end{gathered}$

2. We can replace this value of X in the 1st and 2nd equations

$\begin{gathered} -2\cdot(\frac{-9-2Y+Z}{5})+Y-2Z=-8 \\ 7\cdot(\frac{-9-2Y+Z}{5})+Y+Z=-1 \end{gathered}$

3. If we simplify:

$\begin{gathered} \frac{-9Y+12Z-63}{5}=-1 \\ \frac{9Y-12Z+18}{5}=-8 \end{gathered}$

4. We can obtain Y from this two equations:

$\begin{gathered} Y=-\frac{-12Z+58}{9} \\ \end{gathered}$

5. Now, we need to obtain X(Z). We can replace Y in X(Y,Z)

$\begin{gathered} X=\frac{-9-2Y+Z}{5} \\ X=\frac{-9-2(-\frac{-12Z+58}{9})+Z}{5} \end{gathered}$

6. If we simplify, we obtain:

$X=\frac{-3Z+7}{9}$

7. In conclusion, we obtain that

(X,Y,Z) =

$(\frac{-3Z+7}{9},-\frac{-12Z+58}{9},Z)$

8 0

1 year ago

Find the value of x<br> 18 <br> 20 <br> x

sesenic [268]

21 420 69 thank you very much

4 0

3 years ago

What is the value of x in the equation 5/6x + (-1 1/3) = -1

irga5000 [103]

Solve for x by simplifying both sides of the equation, then isolating the variable.

Exact Form: x= 2/5

Decimal Form: x= 0.4

5 0

3 years ago

Find the volume of the solid of revolution formed by rotating the bounded region about the x-axis.

lana66690 [7]

Answer:

$40.5 \pi$ cubic units

Step-by-step explanation:

Given is a function exponential as

$f(x) =\sqrt{ (x-4)}$

The region bounded by the above curve, y =0 , x =13 is rotated about x axis.

the intersection point is at x=4

The limits for x are 4 and 13

The volume when rotated through x axis is found by

$\pi\int\limits^b_a {f(x)^2} \, dx$

Here a = 4 and b =13

volume = $\pi\int\limits^13_(4) x-4} \, dx$

= $\pi (\frac{x^2 }{2}-4x )\\= \frac{\pi}{2} (153-72)\\= 40.5 \pi$ .cubic units

3 0

3 years ago