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Sidana [21]
3 years ago
6

According to the general equation for conditional probability, if P(AB)= 3/10 and P(B) =2/5, what is ? P(A l B)?

Mathematics
2 answers:
tatiyna3 years ago
7 0

the answer was 1/2.....................


Step-by-step explanation:


Alexus [3.1K]3 years ago
6 0

The formula for conditional probablity states that

P(A | B) = \cfrac{P(A \cap B)}{P(B)}

Since we know both numerator and denominator, we only need to plug in the values:

P(A | B) = \cfrac{P(A \cap B)}{P(B)} = \cfrac{\frac{3}{10}}{\frac{2}{5}} = \cfrac{3}{10}\cdot\cfrac{5}{2} = \cfrac{3}{4}

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Step-by-step explanation:

\text{Circumference:}\\\\C=2\pi r\\\\\text{Area:}\\\\A=\pi r^2\\\\\dfrac{A}{C}=\dfrac{\pi r^2}{2\pi r}\qquad\text{cancel}\ \pi\ \text{and}\ r\\\\\dfrac{A}{C}=\dfrac{r}{2}\\\\\bold{The\ number\ of\ areas\ of\ a\ circle\ is}\ \dfrac{r}{2}\ \bold{larger\ than\ its\ circumference}.

\text{For a given area and circumference}:\\\\A=153.86,\ C=43.96,\ r=7\\\\\dfrac{A}{C}=\dfrac{153.86}{43.96}=3.5=\dfrac{7}{2}=\dfrac{r}{2}\\\\\dfrac{A}{C}=\dfrac{r}{2}

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The sales totals at Robert's food store have increased linearly over the months. Which of these best shows the sales in the firs
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What is the sum of the expressions (2/3x −7)+(1/3 x+5)?
Anit [1.1K]
The answer is

Final result :

x - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :

2
Simplify —
3
Equation at the end of step 3 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :

(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2x-21) + (x+15) 3x - 6
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Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Final result :

x - 2

100% Verified!

Hope This Helps! :)
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Answer:

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Step-by-step explanation:

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