Answer:
r=3 where r is the common ratio
Step-by-step explanation:
The sum of geometric progression for n terms is given by:
, where is the
first term of the series and r is the common ratio.
Now, according to the question, there are four terms and they form a geometric progression. So sum of four terms is given as and .
Also according to the above formula:
Using the values as given in the question into the above equation we get:
[ Using formula ]
which is the required answer.
Answer:
I think it's 21
Step-by-step explanation:
I'm not surebut I hope this helps.
Answer:
Standard deviation of the binomial distribution
=
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given size 'n' = 800
The population proportion 'p'=0.6
Let 'X' be the random variable of the binomial distribution
a) mean of the binomial distribution = n p = 800 ×0.6
μ = 480
b) variance of the binomial distribution
= n p q
= 800 X 0.6 ×0.4
σ² = 192
Standard deviation of the binomial distribution
σ =
No---------------------------------
Answer:
It is given that the time period of a pendulum(T) is the time(t) the pendulum take to swing back and forth.
Given the function: ......[1]
where L is the length in feet of a pendulum and t is the time in second.
It is given also, a convention center has a pendulum (L) = 50 ft long.
Substitute the value of L in [1] to solve for t;
Divide both sides by 0.81 we get;
Simplify:
or
sec
therefore, period of pendulum (T), is 7.86 sec (nearest to hundredths)