Answer:
1) -0.669
2) -0.669
3) 0.669
Step-by-step explanation:
Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.
Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.
Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.
If theta=70:
1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.
2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.
3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.
= 3 × 10-11
(scientific notation)
= 3e-11
(scientific e notation)
= 30 × 10-^12
(engineering notation)
(trillionth; prefix pico- (p))
= 0.0000000000
<span>(real number)</span>
Answer: The chance here to win is 50%.
Step-by-step explanation: You are taking a chance on a spinner with 20 outcomes. So, we will be considering natural numbers from 1 to 20.
And also, you will a prize if you land on an even number, so we will calculate the probability of getting an even number.
From 1 to 20, there are 10 odd numbers and 10 even numbers out of total 20 numbers.
Let us define the following events -
A = event of getting an even number
and
B = event of getting an odd number.
So, n(A) = 10 and n(B) = 10.
So, the probability of getting an even number is given by

Thus, the required chance of winning a prize is 50%.
Answer:
23/50, 0.46, and 46%
Step-by-step explanation:
This problem is stating that every fifty times you flip a coin you get 23 heads. Finding the fraction is simple, it would be 23/50 because it is expressing the probability. The problem clearly states that every 50 times you get 23 heads. To find the decimal, take the fraction, 23/50, and multiply the numerator and denominator by 2. you get 46/100 which is 0.46. A percent is just a fraction out of a 100 which would make the percent 46.
Multiply -1/2 by -7/3 to get the answer