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Anton [14]
4 years ago
10

LetAandBbe two events in a sample space for which P(A)=2/3,P(B)=1/6, and P(A∩B)=1/9. What is P(A∪B)?

Mathematics
1 answer:
schepotkina [342]4 years ago
6 0

Answer:

13/18

Step-by-step explanation:

P(A∪B)=P(A)+P(B)−P(A∩B)

P(A∪B)=2/3 + 1/6 − 1/9 = 13/18

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1. A linear pair is two adjacent angles that are supplementary and form a straight line.
Stels [109]
The correct awnser is true
4 0
3 years ago
Read 2 more answers
Answer Is not C<br>please help​
Katyanochek1 [597]

Answer:

B

Step-by-step explanation:

Well since it is arthimetic sequence we know the formula

We know d is difference between second term and first so it will be -5- (-12)= -5+12= 7

a_{n}= a _{1}+ d (n-1) \\a_{n}= -12+7(n-1)\\a_{n} = -12+7n-7\\a_{n}= 7n-19

the domain of this is 1,2,3,4.......

range is -12,-5,2,9.......

Therefore answer is B.

5 0
3 years ago
Find the equation of the straight line through (–2, 3) perpendicular<br> to 2x + y =8
Thepotemich [5.8K]

Answer:

y = \dfrac{1}{2}x + 4

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The line we need is perpendicular to the line 2x + y = 8.

<em>The slopes of perpendicular lines are negative reciprocals.</em>

We solve the given equation for y to find the slope of the given line.

2x + y = 8

y = -2x + 8

The given line has slope -2.

The negative reciprocal of -2 is 1/2.

Our line has slope, m = 1/2.

Now we have

y = 1/2 x + b

Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.

y = 1/2 x + b

3 = 1/2 * (-2) + b

3 = -1 + b

4 = b

b = 4

Now we have

y = 1/2 x + 4

Answer: y = \dfrac{1}{2}x + 4

8 0
4 years ago
Question:
snow_tiger [21]

Answer:

A (first picture)

Step-by-step explanation:

Based on the picture, the lines are both perpendicular and the red line splits AB into two equal parts (bisects it), so it must represent the perpendicular bisector of AB.

5 0
3 years ago
Use the cosine sum and difference identities to find the exact value.<br><br> COS(5pi/12)
nydimaria [60]
5π/12 = (5 · 180°) : 12 = 75°
cos 75° = cos ( 45° + 30° )= cos 45° cos 30° - sin 45° sin 30° =
=√2/2 * √3/2 - √2/2 * 1/2 = \frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4}= \frac{ \sqrt{6} - \sqrt{2} }{4}
=(2.4495 - 1.4142): 4 = 0.258825
8 0
3 years ago
Read 2 more answers
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