Answer:
(0, 1)
Step-by-step explanation:
The angle (1/2)π radians is equivalent to 90°. Since angles are measured counterclockwise from the +x axis, an angle of 90° (or π/2 radians) is in the direction of the +y axis.
Your polar coordinates of 1∠(π/2) specify a point 1 unit up from the origin on the y-axis. The coordinates of that point are (x, y) = (0, 1).
Answer:
W= a number greater then -3= -2,-1,0,1,2,3,4,5,6,7,8,9,10...
Step-by-step explanation:
Answer:
22% probability the student is a junior.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes:
The table says that:
There are 4 + 6 + 2 + 2 + 3 + 4 + 6 + 6 + 3 = 36 total students.
2 + 6 = 8 are juniors.
If a student is selected at random, find the probability the student is a junior.
8/36 = 0.2222 = 22.22%
Rounding to the nearest whole percent, 22% probability the student is a junior.
Answer:
How To
Step-by-step explanation:
The formula for conditional probability is derived from the probability multiplication rule, P(A and B) = P(A)*P(B|A). You may also see this rule as P(A∪B). The Union symbol (∪) means “and”, as in event A happening and event B happening.
Answer:
a =
b= 4
Step-by-step explanation:
It's a 30-60-90 triangle based on the given picture. A right triangle too
Use sine, cosine, and tangent to solve for the side.
To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.
OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and for long leg
So either way, b = 4
To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.
OR you can use the same rule, 30-60-90 triangle to save time
a will end up =