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
Given:
The inequalities are:
or 
To find:
The solution for the given inequalities and graph the solution.
Solution:
We have,
or 
Solve the above inequalities separately.

Divide both sides by -5.

...(i)
And,

Divide both sides by 2.

...(ii)
From (i) and (ii). we get
or 
The interval notation of the solution is
.
The graph of the solution is shown below.
One US-penny is 19 mm in diameter.
One British-penny is 20.3 in diameter.
We can make an accurate measurement of the diameters, or research on the internet.
1 milion US_pennies are
1,000,000*19 mm = 19,000,000 mm = 1,900,000 cm tall, since 1cm=10mm
1 milion British_pennies are
1,000,000*20.3 mm = 20,300,000 mm = 2,030,000 cm tall, since 1cm=10mm
Answer:
E=x
or 110= x ( opposite angles of parallelogram are congurent)
E+D = 180 ( angles on st line)
110+D =180
D=70
D=F ( opposite angles of parallelogram are congurent)
so F=70