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
Answer:
5089.4cm³ (rounded to 1 d.p.)
Step-by-step explanation:
Volume of cylinder =
× r² × h
Volume of cylinder =
× 9² × 20
= 1620
= 5089.4cm³ (rounded to 1 d.p.)
Answer: (x + 3, y - 4)
Explanation: The shape in the middle goes to the right three and down four to match the shape at the bottom
The order of the scale drawings from smallest to largest is
Smallest
1 in to 1 ft
Second smallest
1 in to 1 yd
Largest
1 in to 1 m
Given the following scales:
1 in to 1 ft
1 in to 1 m
1 in to 1 yd
We are to arrange the scales from smallest to largest.
Since 1 in is used as the base conversion for all the scales, we can convert the other scales to yards for consistency's sake.
Convert 1m to yards
1m = 1.1yards (From the question)
Convert 1ft to yards. According to conversion factor;
1 feet = 0.333333 yards
Ordering the scales from smallest to largest will give
0.33333yard (1 in to 1 ft), 1 yard (1 in to 1 yd), 1.1yards (1 in to 1 m)
Learn more here: brainly.com/question/14348682
(t^2+1)^100
USE CHAIN RULE
Outside first (using power rule)
100*(t^2+1)^99 * derivative of the inside
100(t^2+1)^99 * d(t^2+1)
100(t^2+1)^99 * 2t
200t(t^2+1)^99