1 Eddie drew the model below to represent an equation.

Use the Venn diagram to calculate probabilities

Shkiper50 [21]

From the Venn diagram, we can gather that there are 35 total objects (6 in both A and B; 15 in A but not B; 10 in B but not A; and 4 in neither A nor B), and we have the probabilities

$\mathbb P(A\cap B)=\dfrac6{35}$

$\mathbb P(A)=\dfrac{15+6}{35}=\dfrac{21}{35}=\dfrac35$ (this is the answer)

$\mathbb P(B)=\dfrac{10+6}{35}=\dfrac{16}{35}$

By definition of conditional probability,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\frac6{35}}{\frac{16}{35}}=\dfrac6{16}=\dfrac38$

$P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\frac6{35}}{\frac{21}{35}}=\dfrac6{21}=\dfrac27$

8 0

3 years ago

Read 2 more answers

What is the correct description for the system of linear equations?

Mkey [24]

The slope of the first equation is -2, you can see it right off.

the slope of the second equation is 2, notice both are in slope-intercept form.

both equations are the equations of a line, so is really just two lines.

because their slope differs, they're not parallel or equivalent, therefore, they lines do meet at some point, and one point only, and therefore, they have 1 solution only.

a system of equations with at least 1 solution, is a consistent system.

a consistent system with exactly 1 solution only, is not just consistent, but also independent.

7 0

3 years ago

What fraction of an hour is 50 minutes? give your answer in its simplist form.<br><br>!!!!!

Flura [38]

Answer:

5/6

Step-by-step explanation:

50/60 simplifies down to 5/6 if you divide by 10. 5/6 can not be simplified down any further because then you'd have a decimal fraction which.

8 0

2 years ago

Can you show and tell how you got the answer

Illusion [34]