Total number of people in the sample = 193 + 127 + 96 = 416
Probability of picking 23-30 year old = 92 /416 = 0.2212 ( not including the people who smoke)
Number of people who smoke = 60+35+23 = 118 people
Prob(someone who smokes) = 118/416 = 0.2837
So required probability = 0.2837 + 0.2212 = 0.505 (answer)
Answer:
12
Step-by-step explanation:
Through 12 years he would have painted 72 paintings and since he hasn't sold two of them he has only sold 70.
X = 2
Using the trapezoid mid segment theorem, knowing that the mid segment is parallel to the bases and half as long as the sum of the lengths of the bases, we add the lengths of the two bases and set it equal to two times the length of the mid segment.
7x+3+ 15= 16(2)
7x+18= 32
Subtract 18 from both sides.
7x = 14
Divide both sides by 7.
X = 2.
You can check your work by solving for the length of the base 7x + 3.
7(2)+3 =17
Then, add the length of the two bases together.
15 + 17 = 32. Half of 32 equals sixteen, which is your mid segment.
(correct me if i’m wrong, i got the theorem off of the internet and did the rest of the work myself.)
Answer:
y is 60⁰
because all sides are equal
Answer:
A
Step-by-step explanation:
To determine which point is a solution, substitute the x- coordinate into the right side of the inequality and compare it's value to the y- coordinate of the point.
A (0, 2)
2x - 1 = 0 - 1 = - 1 → 2 ≥ - 1 ⇒ (0, 2) is a solution
B (4, 1)
2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 1 < 7 ⇒ (4, 1) is not a solution
C (0, - 10)
2x - 1 = 0 - 1 = - 1 → - 10 < - 1 ⇒ (0, - 10) is not a solution
D (4, 2)
2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 2 < 7 ⇒ (4, 2) is not a solution