Answer: 1/56
Step-by-step explanation:
Since the box has 8 different colors, the probability of picking any color of crayon will be 1/8.
This question relates to a probability without replacement, therefore, the probability of picking the red crayon first will be 1/8. After then, there'll be 7 crayons left and the probability of picking the green crayon next will be 1/7.
Therefore, the probability that I will remove the Red and the Green crayon from the box will be:
= 1/8 × 1/7
= 1/56
Number of boys=x
number of girls=y.
We can suggest this system of equations:
x/y=8/7 ⇒x=8y/7
x+y=195
this system of equations can be solve by substitution method.
(8y/7)+y=195
least common multiple=7
8y+7y=1365
15y=1365
y=1365/15
y=91
x=8y/7
x=8*91 / 7
x=728/7
x=104
Answer: there were 104 boy campers and 91 girl campers.
Answer:
Option D is correct.
Step-by-step explanation:
We have been given 
We need to tell which one of them will give the perfect square trinomial.
Trinomial is the polynomial with three terms.
If we factorize it by middle term splitting we get:
is the perfect square trinomial.
Therefore, option D is correct
From there, you simply need algebra and a calculator that works in radians.
Take the inverse cos of both sides to get 2x = arccos(-1)
Then divide both sides by 2 to get x = arccos(-1) / 2
Put that into a calculator and you get π/2. But because your bounds are 0 to 2π, you have to add π your solution to get the solution on the other side of the unit circle, which would be (3π/2).
Now that you have the x value, put (π/2) and (3π/2) into f(x) to get the y coordinate.
f(π/2) = 2(π/2) + sin(2(π/2) = π, which means this solution is just (π/2, π)
f(3π/2 = 2(3π/2) + sin(2(3π/2) = 3π, which means this solution is (3π/2, 3π)
Answer:
options are provided below...i hope this helps! :)
Step-by-step explanation:
well if the angles are vertical then ADC would be the same as ABC with 40 degrees
if the angles are corresponding, then they both are 40 degrees
if they are complementary angles, then they add up to 90 degrees
so the angle ADC would be 50 degrees
if they are supplementary angles, then they add up to 180 degrees. so ADC would be 140 degrees
