Answer:
(D) P(AUB) = 0.65
Step-by-step explanation:
Since A and B are independent:
P(A ^ B)
= P(A) × P(B)
= 0.3 × 0.5 = 0.15
P(AUB) = P(A) + P(B) - P(A^B)
= 0.3 + 0.5 - 0.15
= 0.65
Answer:
-1/5
Step-by-step explanation:
slope formula:
m = y₂ - y₁ / x₂ - x₁
Two points are given:
(-5, -5) (5, -7)
m = -7 - (-5) / 5 - (-5)
m = -2 / 10
m = -1/5
Take 76 over 95, and then multiply by 100% to get your answer.
(76/95) * 100%= 80%
Answer:
3. The missing angle is 56°
4. x = 7
Step-by-step explanation:
3.
We know sum of 3 angles in a triangle is 180°.
Looking at the top triangle, we can figure out the third angle. Let third angle be x:
85 + 35 + x = 180
120 + x = 180
x = 180 - 120
x = 60
<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>
So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:
60 + 64 + y = 180
124 + y = 180
y = 180 - 124
y= 56
This is the missing angle.
4.
10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.
Thus we can write the equation:
(10x-5) = (8x+9)
10x-8x=9+5
2x=14
x=14/2
x=7
So x = 7
