Answer:
P(blue) = 0.33
P(green) = 0.14
P(purple) = 0.24
P(yellow) = 0.29
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
7+3+6+5 = 21 tils.
7 of them are blue. So
P(blue) = 7/21 = 0.33
3 of them are green. So
P(green) = 3/21 = 0.14
6 of them are yellow. So
P(yellow) = 6/21 = 0.29
5 of them are purple. So
P(purple) = 5/21 = 0.24
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.
For finding side a, you can answer this easily by the Law of Cosines. The equation is
a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9
Then, we use the Law of Sines to find angles B and C. The formula would be
a/sinA = b/sinB = c/sinC
9/sin54° = 11/sinB
B = 80.4°
9/sin54° = 8/sinC
C = 45.6°
The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
Answer:
the function has two distinct real roots.
Step-by-step explanation:
D=b²-4ac
D<0 No real roots
D=0 One real root
D>0 Two distinct real root.
(-5)²-4*1*-3
25+12
37
Since D is > than 0, the function has two distinct real roots.
Answer:
.611
Step-by-step explanation:
there were 84 people who answered yes plus an additional 12 men who said no. Add these up and you get 96. Divide that number by the number of people which is 157 and you get .611 rounded up.
