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Tems11 [23]
3 years ago
13

Q and R are independent events. P(Q) = 0.4; P(Q AND R) = 0.08. Find P(R).

Mathematics
1 answer:
algol [13]3 years ago
8 0
Because Q and R are independent, you have

\mathbb P(Q\cap R)=\mathbb P(Q)\times\mathbb P(R)
0.08=0.4\times\mathbb P(R)
\implies \mathbb P(R)=0.2
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If 4x+7=12 what is the value of 8x+3
Valentin [98]

There is actually 2 ways to solve this, I will show you both.

The first is obvious, solve for x in the first one, and plug it into the 2nd one and get the answer

4x + 7 = 12

4x = 5

x = \frac{5}{4}

8(\frac{5}{4}) + 3

2 * 5 + 3

10 + 3

13

The 2nd option is to manipulate the 4x + 7 to be 8x + 3

4x + 7 = 12

start by moving the 7 over

4x = 5

multiply both sides by 2

8x = 10

and add 3 to both sides

8x + 3 = 13

7 0
3 years ago
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A triangle has 3 angles. One of the angles is 40 degrees. Another angle is 60 degrees. The last one has a label of 2n - 10. What
iogann1982 [59]

Answer:

C

Step-by-step explanation:

The sum of the angles on a triangle must always equal 180 degrees. That means...

40 + 60 + (2n - 10) = 180

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I hope this helps!

3 0
3 years ago
What is 10% of 400.00
oee [108]
<span><span>If you want to evaluate what is 10 percent of 400, you can do this using the following few steps:</span><span>

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4 0
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Find the values of m &amp;n .. please help !!
matrenka [14]

Answer:

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Step-by-step explanation:

To find m, we can use sin(45) and cos(45).

Since sin(45) = root (2)/2  and this equals 9/m.

We set the equation root (2)/2  = 9/m and solve for m.

9 divided by root (2)/2 would give us 18/root (2), or 12.728.

m is 12.728.

Same process for n but we are using cosine this time.

cos(45) = root (2)/2 and this equals n/12.728.

Solving for n would give us root (2)/2 times 12.728.

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VikaD [51]
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