Answer:
See below.
Step-by-step explanation:
The 3 angles of all triangles add up to 180 degrees.
An isosceles triangle has 2 of its angles equal.
So if one of the angles is 130 degrees then there cant be another one of 130 degrees as that would make 260 degrees.
So the other 2 angles are equal and their measure is (180 - 130) / 2
= 50 / 2
= 25 degrees.
The 2 equal angles are both 25 degrees.
Answers:
a = 1/3
b = -6
c = 7
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Explanation:
The terms of the given expression rearrange to
which is now in standard form (the exponents decrease when moving from left to right).
We can see that
a = 1/3
b = -6
c = 7
after matching that with the ax^2+bx+c form.
Answer:
Check Explanation
Step-by-step explanation:
a) Yes, the two events are mutually exclusive. The true meaning of mutually exclusive is that both A1 and A2 have no sample points in common and cannot both occur at the same time.
The only sure mathematical way to tell is from P(A1 n A2) = 0.
Note that this is different from when two events are independent. Two events are independent when the chances of one occurring does not depend on the chances of the other event occurring at all. Independent events can both occur at the same time. Mathematically, independent events are described as P(A1|A2) = P(A1) and P(A2|A1) = P(A2)
b) To solve for P(B)
We use the mathematical definition of the conditional statement
P(B|A1) = P(B n A1)/P(A1)
P(B n A1) = P(B|A1) × P(A1) = 0.2 × 0.4 = 0.08
P(B|A2) = P(B n A2)/P(A2)
P(B n A2) = P(B|A2) × P(A2) = 0.05 × 0.6 = 0.03
P(B) = P(B n A1) + P(B n A2) (especially because A1 and A2 are mutually exclusive)
P(B) = 0.08 + 0.03 = 0.11
Hope this helps!!
Answer:
56
Step-by-step explanation:
The probability both spiners land on red: 0,5*0,6=0,3 (0,5 is A spine lands on red and 0,6 is B spiner lands on red)
The number of both spiners land on red is 84.
So we have:
X——>100%
84——->30%
X=8400/30
X=280
The total number of all spines A and B for onse.
The probability to both spiners land on blue is:
0,5*0,4=0,2 (0,5 is probabiliti to A lands on blue, 0,4 is B lands on blue)
The number of both spiners land on blue is:
280*0,2=56
Answer:
17,20,23,26,29,32,35,
38,41,44,47,50,53,56,59,62,65,68,
71,74,77,80,83,86,89,92,95,98,101
you add 3 :)
Step-by-step explanation: