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
well It never could be less than both numbers.
the LCM of 2 numbers shd either be greater than the 2 numbers .... or the answer should be equal to either one of the numbers ...
lets see some examples to prove this conclusion:
now, lets find the LCM of 2 and 6 ... so if we do it ... we get the answer 6 .. which is ..as we said equal to one of the numbers
another example : 5 and 7 ... in this ... if we do it .. .we get the LCM as 37 ... which is greater than both the numbers
another case where both the numbers are same ....
where we need to find the LCM of 7 and 7 ... the answer will be 7 itself .....
Answer:
4/12
Step-by-step explanation:
1/6 - 2/12
2/6 = 4/12
Estimation is the process of making quick mental calculation of a value, quantity, or number.
We basically do estimation every day of our lives.
For example, we want to order several pizzas. We know that each pizza costs between $5 to $10. We order 3 pizza pies; Pie 1 = $6; Pie 2 = $8; Pie 3 = $9.
In getting an estimate, we either overestimate or underestimate. We know that whether a product of an estimate is overestimated or underestimated by the direction of the rounded up numbers.
We overestimate, when we round up the numbers
We underestimate, when we round down the numbers.
Overestimate: $10 x 3 pizza = $30 total cost
Underestimate: $5 x 3 pizza = $15 total cost
Actual cost: $6 + $8 + $9 = $23
In estimating expenses, it is better to overestimate. This gives us an allowance when incidental expenses incur.
In estimating income, it is better to underestimate. It gives us a more realistic value of the income.