The answer to this question is 8.3
For two line segments to be parallel, their slopes must be equal.
Therefore slope of AB must be equal to slope of CD
which is, option 3
(y4-y3)/(x4-x3)=(y2-y1)/(x2-x1)
Answer:
If the scientist’s estimate about the number of fish in the lake is correct, then it is 44% likely to get 20 perch out of 50 with a tag.
Step-by-step explanation:
Let p be the proportion of tagged white perch in the Midwestern lake.
Scientist's claim is that p=
Let's test this hypothesis as:
p=0.30
p≠0.30
P-value of the test statistic will give the likelihood of getting 20 perch out of 50 with a tag if the scientist's estimate (
) is true.
Test statistic can be calculated using the equation
where
- p(s) is the sample proportion of white perch (
)
- p is the proportion assumed under null hypothesis. (0.30)
- N is the sample size (50)
Then 
≈ -0.77
Two tailed p-value of the test statistic is ≈ 0.44
Thus if the scientist’s estimate about the number of fish in the lake is correct, (p=0.30) then it is 44% likely to get 20 perch out of 50 with a tag.
Try using 1070 degrees as the sum of the interior angles of a convex polygon, we get:
1070 =[n - 2] x 180 (n = number of sides)
1070 =180n - 360
180n =1070+360
180n =1430
n = 1430 / 180
n = 7.94 number of sides.
Round the number up to 8 since 7.94 isn’t whole.
So, the convex polygon is an octagon with sum of its interior angles:
[8 - 2] x 180 =1080 degrees.
Answer:
0.5
Step-by-step explanation:
The probability that the first mouse turns left and the second mouse turns right is 0.5 × 0.5 = 0.25.
The probability that the first mouse turns right and the second mouse turns left is 0.5 × 0.5 = 0.25.
So the probability that only one mouse turns left is:
P = 0.25 + 0.25
P = 0.5
Another way of looking at it: the probability that only one mouse turns left is 1 minus the probability that both turn left or both turn right.
P = 1 − (P(both left) + P(both right))
P = 1 − (0.5 × 0.5 + 0.5 × 0.5)
P = 0.5
