Answer:
13+8(n-1) is the pattern of how this series goes on where n is the number of entities being added.
Write n at the top of sigma notation which is 5 here. And write the pattern infront of sigma notation which is 13+8(n-1)here.
Answer:
Final answer is .
Step-by-step explanation:
Given equation is .
Now we need to solve that equation for t when .
or ,
or ,
or ,
Given that t>0
so that means t=-5 is not possible.
Hence final answer is .
Answer:
Probability that the calculator works properly for 74 months or more is 0.04 or 4%.
Step-by-step explanation:
We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.
Firstly, Let X = life span of a calculator
The z score probability distribution for is given by;
Z = ~ N(0,1)
where, = population mean = 60 months
= standard deviation = 8 months
Probability that the calculator works properly for 74 months or more is given by = P(X 74 months)
P(X 74) = P( ) = P(Z 1.75) = 1 - P(Z < 1.75)
= 1 - 0.95994 = 0.04
Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.
Given that:
5π/3
=5/3×180
=240°
This is in the Quadrant III
The value of cot 5π/3 will be given by:
cost θ=1/tan θ
thus
tan θ
=tan 5π/3
=tan 240
=tan (240-180)
=tan 60
using an equilateral triangle with lengths 2 units
then
tan 60=√3/1
tan 60=√3
hence
tan 240=√3
Answer:
An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.
See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?
A: A B: B
C: C D: D
Step-by-step explanation: