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djverab [1.8K]
3 years ago
9

Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the in

tersection contains 6. Number 4 is outside of the circles. Which probability is correct?

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer:

(B) P(B)=\dfrac{16}{31}

Step-by-step explanation:

From the Venn diagram, n(AUB)=31

The given probabilities in the option are calculated below:

P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}

The only correct option is the probability of B which is \frac{16}{31}

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avanturin [10]

Hey there!

-4.36 + 1.2 [2.8 +(-3.51)]

= -4.36 + 1.2(2.8 - 3.51)

= 4.36 1.2(-0.71)

= -4.36 - 0.852

= -5.212

Therefore, your answer is: -5.212

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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3 0
3 years ago
You use a wedge that has a width of 2 cm and a slope length of 5.5 cm. What is the mechanical advantage of this wedge?
PIT_PIT [208]

Answer:

Option B. 2.75

Step-by-step explanation:

It has been given in the question that a wedge has a width of 2 cm and a slope of 5.5 cm.We have to calculate the mechanical advantage of the given wedge.

We know the formula to calculate the mechanical advantage of the wedge

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The equation of line EF is y=2x+1. Which an equation of a line parallel to line EF in slope-intercept form that contains point (
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Answer:

y=2x+2

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Remember that parallel lines have equal slopes. We can solve this using point slope form which is y-y_{1}=m(x-x_{1} )

Plug in the point (0,2) into the equation:

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