<2= 30 degrees since its vertical to the 4th angle.
<1=150 degrees
<3=150 degrees
since angle 3 and the 4th angle are supplementary, which means both angles equal 180 degrees, angle 3 equals 150 degrees.
since angle 3 is vertical to angle 1 it's also 150 degrees since they're congruent.
The simulation of the medicine and the bowler hat are illustrations of probability
- The probability that the medicine is effective on at least two is 0.767
- The probability that the medicine is effective on none is 0
- The probability that the bowler hits a headpin 4 out of 5 times is 0.3281
<h3>The probability that the medicine is effective on at least two</h3>
From the question,
- Numbers 1 to 7 represents the medicine being effective
- 0, 8 and 9 represents the medicine not being effective
From the simulation, 23 of the 30 randomly generated numbers show that the medicine is effective on at least two
So, the probability is:
p = 23/30
p = 0.767
Hence, the probability that the medicine is effective on at least two is 0.767
<h3>The probability that the medicine is effective on none</h3>
From the simulation, 0 of the 30 randomly generated numbers show that the medicine is effective on none
So, the probability is:
p = 0/30
p = 0
Hence, the probability that the medicine is effective on none is 0
<h3>The probability a bowler hits a headpin</h3>
The probability of hitting a headpin is:
p = 90%
The probability a bowler hits a headpin 4 out of 5 times is:
P(x) = nCx * p^x * (1 - p)^(n - x)
So, we have:
P(4) = 5C4 * (90%)^4 * (1 - 90%)^1
P(4) = 0.3281
Hence, the probability that the bowler hits a headpin 4 out of 5 times is 0.3281
Read more about probabilities at:
brainly.com/question/25870256
<span>The answers for the given inequalities shown in the figures above are the following:
1. x+2y is bigger than or equal to 6 corresponds to the first graph.
2. x-2y>4 corresponds to the third graph.
3. y>3+(1/2)x corresponds to the second graph
4. 4y+2x is smaller than or equal to 16 corresponds to the fourth graph</span>
Answer:
x=-8
(-8,-7)
Step-by-step explanation:
–9x + 9y = 9
–9x + 9(-7) = 9 (y=-7)
-9x-63=9
Both side +63
-9x=63+9
-9x=72
Both side divide -9
x=-8
y=-7
(-8,-7)
A) multiple the 3 x 4 and add 1.
3 x 4 = 12 + 1 = 13
13/3
B) (7 x 3) + 2 = 23/3
C) (4 x 2) + 1 = 9/2
D) (2 x 8) + 7 = 23/8
