first take 62 -8 = 54 x 87=4698 then take 4698-2 and get 4696
Answer:
Step-by-step explanation:
Answer:
The volume of the cone is 128π mm³ ⇒ answer (C)
Step-by-step explanation:
* Lets study the cone
- Its base is a circle
- Its height the perpendicular distance from its vertex to
the center of the base
- The length of its slant height = √(h² + r²)
- The volume of the con is 1/3 the volume of the cylinder
∵ The volume of the cylinder = πr²h
∴ The volume of the cone = (1/3) πr²h
* In our problem:
- r = 4 mm
- h = 24 mm
∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³
* The volume of the cone is 128π mm³
Answer:
It takes 14 years for the account balance to reach $10,296.62
Step-by-step explanation:
Given:
Principal amount = $5,887
Rate of interest = 4% and 12 times per year
Balance amount = $10296.62
To find:
The time to reach $10,296.62 = ?
Solution:
We know that
Here,
N(t) = 10,296.62
= $5,887
r = 4 % = 0.04
we have to find the t value
On substituting the given values
Taking ln to remove e we get
ln
ln(1.749) = 0.04t
t = 13.97
t = 14
Answer:
Option C
Step-by-step explanation:
The central Limit Theorem says the sampling distribution of the sample mean is approximately normal under certain conditions
The conditions are
i) the population should be symmetrial. If population is skewed sample size should be sufficiently large atleast 30
ii) Samples should be drawn strictly at random
iii) the sample observations should be independent
Thus we find that option a is not necessary because even for skewed large sample size allows the theorem
Option b is not correct since if population is less than 30, sampling itself is not necessary.
Option d is also wrong since normality is not necessary
Only option C) The sample size must be large (e.g., at least 30) is the necessary condition
