Try this solution, note, the shown way is not the shortest one.
The answer is marked with red colour.
The answer is C because when adding two negatives it equals a positive
Answer:
∠1=160° and ∠2=20°
Step-by-step explanation:
Let ∠1 = x
∠2 = y
as these two angles are supplementary their sum is 180
that x+y=180 ----(A)
Also given that ∠1 is 20 degree less than nine times the size of ∠2.
Hence
x=9y-20
putting value of x in A and solving for y
9y-20+y=180
10y=180+20
10y=200
y=10
Putting this y in A
x+10=180
x=160
Answer:
option (a) It will be closer to 30 than to 20
Step-by-step explanation:
Data provided in the question:
For sample 1:
n₁ = 10
variance, s₁² = 20
For sample 2:
n₂ = 15
variance, s₂² = 30
Now,
The pooled variance is calculated using the formula,

on substituting the given respective values, we get

or
= 26.0869
Hence,
the pooled variance will be closer to 30 than to 20
Therefore,
The correct answer is option (a) It will be closer to 30 than to 20
<span>Since both places are on the same longitude (122° west) and different lattitudes 45° north and 37° north, the distance between the two place lies on a great circle (along a line of longitude).
Difference in latitudes = 45 - 37 = 8° (subtract the lattitudes because both sides are on the same side in the latitude i.e. both are north)
The distance between two points along the line of longitude is given by theta / 360 x 2 x pi x R: where theta = 8° and R is the radius of the earth = 3,960 miles.
d = 8 / 360 x 2 x pi x 3960 = 552.9 miles</span>