It is 0 because of the sin being 0
Answer:
1020 raisins
Step-by-step explanation:
Let's set up a proportion using the following setup:
raisins/bags= raisins/ bags
We know there are 680 raisins in 8 bags.
680 raisins/8 bags= raisins/bags
We don't know how many raisins are in 12 bags, so we can say x raisins are in 12 bags.
680 raisins/ 8 bags= x raisins / 12 bags
680/8=x/12
We want to find x. To do this, we must get x by itself.
x is being diveded by 12. The inverse of division is multiplication. Multiply both sides of the equation by 12.
12*(680/8)= (x/12)*12
12*680/8=x
12*85=x
1020=x
x= 1020 raisins
There are 1020 raisins in 12 bags.
Answer:
x = 85
Step-by-step explanation:
To solve, first find the angle of the other missing angle in the left by subtracting the outside angle from 180:
180 - 155 = 35
Then add this and the known angle:
35 + 60 = 95
Then subtract this from 180 to get the missing angle for x:
180 - 95 = 85
Answer:
It flew 1,365 miles
Step-by-step explanation:
Just multiply the speed in mph by the time in hours so 455 * 3
Answer:
Range = 13
Mean = 8.3
Variance = 17.61
Step-by-step explanation:
Given the population dataset :
2, 9, 15, 4, 12, 9, 13, 6, 3, 10
1.) Range : (maximum - minimum)
Maximum = 15 ; minimum = 2
Range = (15 - 2) = 13
2.) population mean (μ) :
μ = ΣX / n
n = sample size
μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10
μ = 83 / 10
μ = 8.3
3.) Population variance (s²)
Σ(x - μ)² / n
=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10
s² = 176.1 / 10
s² = 17.61