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Mariulka [41]
3 years ago
7

When two events are mutually exclusive, why is P(A and B)=0?

Mathematics
1 answer:
kati45 [8]3 years ago
5 0

Answer:

Step-by-step explanation:

"mutually exclusive" means "cannot happen at the same time."  There's no "union" (no A ∩ B).  The probability of this "union" is zero.

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You do not need to flip the inequality sign when solving the inequality -3 t + 7 ≥ 9.
NemiM [27]

For this case we must resolve the following inequality:

-3t + 7 \geq9

Subtracting 7 from both sides of the inequality we have:

-3t \geq9-7\\-3t \geq2

Dividing by 3 to both sides of the inequality we have:

-t \geq \frac {2} {3}

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

t \leq- \frac {2} {3}

Thus, it is observed that to solve the inequality it is necessary to change the meaning of it.

ANswer:

False. It is necessary to change the sense of inequality

3 0
4 years ago
Find the unknown area or radius of the circle. Use 3.14 for pi.<br> d = 11 mi, A = ?
Hatshy [7]

Answer:

94.985

Step-by-step explanation:

Diameter is 5.5, area of circle is pi r^2

pi times 5.5^2 is 94.985

4 0
2 years ago
find the value of k for which the following system of equations has a unique solutions 1 . kx +2y= 5 , 3x+y=1​
lana66690 [7]

Answer:

If you choose any value for k other than 6, that will be give you the one solution.

If k=6, you have no solutions because the lines will be parallel.

Step-by-step explanation:

We are going to put each of this in y=mx+b where m is the slope and b is the y-intercept.

kx+2y=5

Subtract kx on both sides:

    2y=-kx+5

Divide both sides by 2:

     y=(-k/2)x+(5/2)

The slope is -k/2 and the y-intercept is 5/2

3x+y=1

Subtract 3x on both sides:

     y=-3x+1

The slope is -3 and the y-intercept is 1.

We want the system to have one solution so we want the slopes to be difference.

So we don't want (-k/2)=(-3).

Multiply both sides by -2: k=6.

We won't want k to be 6.

3 0
3 years ago
54x^3 +250y^3<br> in the sum of cubes<br> please helpppp
Slav-nsk [51]

Answer:

What is exactly the question?

4 0
3 years ago
1/3 x +5 =5.5 what is the value of x ?
Leno4ka [110]

Answer:

x=11.5

Step-by-step explanation:

You want to isolate x. The first thing you have to do is get rid of that tricky fraction. To do this, you have to multiply the fraction by its denominator to cancel the denominator out and leaving you only with the numerator. You would also have to multiply 3 by 5.5 too. (Multiplying by the denominator only gets rid of the denominator and leaves the numerator alone. However, in your case, the numerator is one, so by getting rid of the denominator you get 1x. This can just be written as x.)

Equation would look like this:

x+5=16.5

You subtract 5 from both sides, and 16.5 minus 5 is 11.5

Equation would now look like this:

x=11.5

8 0
3 years ago
Read 2 more answers
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