The sum formula for a geometric sequaence is:
sum(n) = a1(1-r^n)/1-r
Where n is the number of terms, a1 is the first term and r is the common ratio:
s(8) = 3(1-1/2^8) / (1-1/2)
s(8) = 3(1-1/256) / 1/2
s(8) = 2 253/256 / 1/2
s(8) = 765/128
The answer is C.
Exact value of x will be 8 x sin(60)
Exact value of sin 60 = √3/2
So √3/2 x 8= 8 √3/2
Can be simplified to 4 √3
Answer:
The value would be
Step-by-step explanation:
What is the value of x in: 4x+3y=12 and 2x-3y=-30 *
4x + 3y
The answer is x = 2 - 3y = 4
3y = 30
So 2x + 3y = 12 is
X = 3 - 3y/4
2x - 3y = 30
X = 15 + 3y/2
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Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:

Answer:
x = -2
Step-by-step explanation:
Pull out like factors :
-3x - 6 = -3 • (x + 2)
Solve : -3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x+2 = 0
Subtract 2 from both sides of the equation :
x = -2