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DIA [1.3K]
3 years ago
10

Let A and B be two events in a sample space S such that

Mathematics
1 answer:
klasskru [66]3 years ago
5 0
P(A|B)<span>P(A intersect B) = 0.2 = P( B intersect A)

</span>A) P(A intersect B) = <span>P(A|B)*P(B)
Replacing the known vallues:
0.2=</span><span>P(A|B)*0.5
Solving for </span><span>P(A|B):
0.2/0.5=</span><span>P(A|B)*0.5/0.5
0.4=</span><span>P(A|B)
</span><span>P(A|B)=0.4
</span>
B) P(B intersect A) = P(B|A)*P(A)
Replacing the known vallues:
0.2=P(B|A)*0.6
Solving for P(B|A):
0.2/0.6=P(B|A)*0.6/0.6
2/6=P(B|A)
1/3=P(B|A)
P(B|A)=1/3
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Answer:

(11x+1)(2x+1)

8 0
3 years ago
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What is 8 3/5 + 4 4/5?
dangina [55]

Answer:

67/5 = 13 2/5

Step-by-step explanation:

Step 1: <u>Define/explain.</u>

An easier way to solve this is by changing the mixed fractions to improper fractions.

To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.

Mixed fraction - a fraction with a whole number.

Improper fraction - a fraction with a numerator larger than the denominator.

Step 2: <u>Solve.</u>

8\frac{3}{5} =\frac{43}{5}

4\frac{4}{5} =\frac{24}{5}

From here, add as usual.

\frac{43}{5} +\frac{24}{5} =\frac{67}{5}

Step 3: <u>Conclude.</u>

You can change the improper fraction to a mixed fraction if you'd like.

To do this, divide the numerator by the denominator.

The amount of times the numerator evenly goes into the denominator is the whole number.

The amount of remaining numbers in the denominator.

The numerator remains the same.

\frac{67}{5} =13\frac{2}{5}

I, therefore, believe the answer to this is 13 2/5.

5 0
3 years ago
Which is a perfect square?<br>6^1<br>6^2<br>6^3<br>6^4<br>​
k0ka [10]

Should be 6^3.

Have a good day!

7 0
3 years ago
Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surve
IRINA_888 [86]

Answer:

84

Step-by-step explanation:

Total students he surveyed: 27

Amount that found it something OTHER than easy: 14 (11 moderate + 3 difficult)

This means that \frac{14}{27} found it something other than easy

Multiply that by 162 to find the proportion for the larger population:

162 * (14/27), and we get 84.

4 0
2 years ago
PLEASE HELPPP ! YOU GET BRAINLIEST IF CORRECT!!! ​
dedylja [7]

Answer:

A. 78,5 in

Step-by-step explanation:

Formula for circumference of the circle is π × diameter.

<h2>:- Question</h2>

Find the circumeference of the circle!

<h2>:- Solution</h2>

Circumeference = π × diameter

= 3,14 × 25 in

= 78,5 in

The circumeference of the circle is 78,5 in

_______________________

8 0
2 years ago
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