Answer:
-324
Step-by-step explanation:
Answer: These are all the sides and angles:
a = 3
b = 18.76
c = 19
A = 9.1°
B = 80.9°
C = 90°
Explanation:
As per the usual convention the side c is opposite to the angle C, side a is opposite to angle a, and side b is opposite to angle B.
That means that c is the hypotenuse of the triangle.
Then, a is one leg, and b is the other leg.
Therefore, you can use Pythagorean theorem to find the unknown leg, b:
c² = a² + b² ⇒ b² = c² - a²
⇒ b² = 19² - 3² = 352
⇒ b = √352 = 18.76
Now you can use any trigonometric ratio to find one of the unknowm angles.
I wll use sine ratio to find the angle opposite to a:
sin (A) = a / 19 = 3 / 19
⇒ A = arcsin (3/19) ≈ 9.1°.
Then, the other angle is: B = 180° - 9.1° - 90° = 80.9°
And those are all the sides and angles:
a = 3
b = 18.76
c = 19
A = 9.1°
B = 80.9°
C = 90°
Answer: ⅗ or 3/5
Step-by-step explanation:
Complete y2 - y1 over x2 - x1 with your given points:
-4 - (-1) = -3
_____ ___ (Remember that two negatives equal to a positive)
-2 - 3 = -5
Answer: The probability that both televisions work is 0.5625 .
The probability at least one of the two televisions does not work is 0.4375.
Step-by-step explanation:
Given : Number of televisions received in shipment= 12
Number of defective televisions received in shipment= 3
Then proportion of defective televisions =
Using binomial probability formula, the probability of getting success in x trials is given by :-
If two televisions are randomly selected, then the probability that both televisions work will be :-
The probability at least one of the two televisions does not work will be :-
Answer:
1
Step-by-step explanation:
There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.
_____
This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.
