Answer:
r = 1/3
= 1
Step-by-step explanation:
1 + 1/3 + 1/9 + 1/27 + 1/ 81
In this series a is the first term = 1
r is the common ratio = 2nd term/1st term = 3rd term/ 2nd term
r = 1/3 ÷ 1 = 1/9 ÷ 1/3
r = 1/3
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If your question is how many positions are possible, then the answer is 24.
We find this by thinking of how many people can be in each spot. If there are 4 spots each person can stand (back left, back right, front left, front right), then there are 4 possible choice for the first spot (mom, dad, son, daughter), then 3 for the next spot (since 1 is already in a spot), then 2 options for the next spot, and then 1 option for the last spot. In other words, the answer is 4x3x2x1, or 4 factorial.
Answer and Explanation:
Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.
To find :
a. Does the table show a probability distribution?
b. Find the mean and standard deviation of the random variable x.
Solution :
a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.
Yes it is a probability distribution.
b) First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.029 0 0 0
1 0.147 0.147 1 0.147
2 0.324 0.648 4 1.296
3 0.324 0.972 9 2.916
4 0.147 0.588 16 2.352
5 0.029 0.145 25 0.725
∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436
The mean of the random variable is
The standard deviation of the random sample is
Therefore, The mean is 2.5 and the standard deviation is 1.08.
Answer:
To the nearest tenth
Percentage= 5.9%
Step-by-step explanation:
In 1995, Germany produced 4.719 million computers.
In that same year, the total computer production of the whole world was 80 million.
The percentage of the world production contributed by Germany
=Number produced by Germany/Number produced by the whole world * 100
The percentage of the world production contributed by Germany
=( 4.719/80)*100
The percentage of the world production contributed by Germany
=5.89875%
To the nearest tenth
= 5.9%
Answer:
x = -7/12 or -0.583.. repeating.
Step-by-step explanation:
6x-5= -6(x+2)
___________ (distributive property)
(to group like terms)
6x-5 = -6x-12
___________ (addition poe) (add 6x on both sides to cancel -6 out)
+6x +6x
___________
12x-5 = -12
__________
+5 +5 (addition poe) (add 5 to both sides to cancel -5 out)
__________
12x = -7
__________
÷12 ÷12 (division poe) (divide both sides by 12 to get x)
x = -7/12
