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PSYCHO15rus [73]
3 years ago
5

The Venn diagram shows the results of two events resulting from rolling a number cube.

Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{1}{3}

P(A) =\frac{2}{3}

P(B) =\frac{1}{2}.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

P(B) = \frac{3}{6} = \frac{1}{2}.

Now

P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}

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A building company bids on two large projects. The CEO believes the chance of winning the 1st is 0.6, the chance of winning the
Ksju [112]

Answer:

0.8

Step-by-step explanation:

A: P(1) = .6, P(2) = .5, P(1 and 2) = .3

P(1 or 2) = P(1) + P(2) - P(1 and 2) .6 + .5 - .3 = 0.8

4 0
3 years ago
Choose the correct simplification of (3x3y4z4)(2x3y4z2).
Murrr4er [49]

Answer:

6x^6y^8z^6

Step-by-step explanation:

(3x^3y^4z^4)(2x^3y^4z^2)

= 6x^(3+3) y^(4+4) z^(4+2)

= 6x^6y^8z^6

7 0
3 years ago
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VMariaS [17]
The two angles on top are supplementary angles meaning they should add up to 180
72+3x=180
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Mark me brainliest!

7 0
3 years ago
The number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss th
siniylev [52]

Step-by-step explanation:

Given the table:

Month              f(x) = Number of imports    g(x) = Number of exports

January (1)                3                                                1

February (2)             4                                                3

March (3)                  5                                                5

April (4)                     6                                                7

From the table, it is clear that:

Number of imports = number of month + 2

so

f(x) = x + 2

also

Number of exports  = 2(number of month) + 1

so

g(x) = 2x - 1

Therefore, number of imports equals the number of month plus one. i.e. f(x) = x + 2, which is a linear function.

If we compare it with slope-intercept form of the line

y=mx+b

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e. g(x) = 2x - 1

Here,

slope = m = 2

y-intercept = -1

3 0
3 years ago
B. 4(3x + 2) - 5(7x + 5)<br> I Need Help
CaHeK987 [17]

Answer:

<h2>-23x - 17</h2>

Step-by-step explanation:

4(3x + 2) - 5(7x + 5)      <em>use the distributive property: a(b + c) = ab + ac</em>

= (4)(3x) + (4)(2) + (-5)(7x) + (-5)(5)

= 12x + 8 - 35x - 25          <em>combine like terms</em>

= (12x - 35x) + (8 - 25)

= -23x - 17

8 0
3 years ago
Read 2 more answers
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