Answer:
y = 8.50x - 6.00
Step-by-step explanation:
Answer:
C. 0.5
Step-by-step explanation:
Since a coin has 2 sides and there is the same probability of getting either side, then each side has a 50% or 0.5 probability. Therefore, in order to calculate the expected value of one coin flip we need to multiply the value of each side by its probability and add those values together like so...
1 * 0.5 = 0.5
0 * 0.5 = 0
Now we add these values together...
0.5 + 0 = 0.5
Finally, we can see that the expected value of one coin flip is 0.5
Evaluate 0.1m+8-12n0.1m+8−12n0, point, 1, m, plus, 8, minus, 12, n when m=30m=30m, equals, 30 and n=\dfrac14n= 4 1 n, equals,
Rom4ik [11]
Answer:
8
Step-by-step explanation:
We are required to evaluate:
0.1m+8-12n
When 
Substituting these values into the expression, we have:
Answer: w=12, y=6√3
Step-by-step explanation:
Looking at the figure, we can split the triangle into 2 separate triangles. One on the left and one on the left. The triangle on the right is a 30-60-90 triangle. For this triangle, the hypotenuse is 2x in length. This is directly opposite of the right angle. The leg opposite to 30° is x in length. The leg opposite 60° is x√3 in length. Once you know the length of one side, you can plug in x to find the length of the other legs.
In this case, w and y are located on the same 30-60-90 triangle. Normally we would focus on that triangle to find our values, but in this instance, we don't have any values. We have to use the left triangle to find the leg that both triangles share.
The left triangle is a 45-45-90 triangle. For this triangle, the legs opposite of 45° is x in length. The hypotenuse is x√2. Since we know the hypotenuse, we can use it to find x.
x√2=8
x=8/√2
x=5.7 or 6 [Let's use 6 so that it is easier to work with a whole number]
Now that we know x, we can find w and y. Going back to the right triangle, we know the hypotenuse is 2x. We plug in 6 to find the length.
w=2x
w=2(6)
w=12
We know the leg opposite of 60° is x√3. We can plug in x.
y=6√3
Answer:
2
Step-by-step explanation:
sin 17° = x/7
(sin 17°) 7 = (x/7)7
x = sin 17° (7)
x = 0.292371704722737 (7)
x = 2.046601933059157
x ≈ 2
