Answer: The required probability is 9.09%.
Step-by-step explanation: Given that a jar contains 6 blue, 4 red, and 2 green marbles.
We are to find the probability that three blue marbles are drawn with out replacement.
Total number of marbles = 6 + 4 + 2 = 12.
After drawing one blue marble, we are left with total 11 marbles. And after drawing the second blue marble, we are left with total 10 marbles.
Therefore, the probability of drawing three blue marbles without replacement is given by
Thus, the required probability is 9.09%.
Answer:
Radius of the convergence is R =
and,
The Interval of convergence is
Step-by-step explanation:
Given function : Σ(21x)^k
Now,
Using the ratio test, we have
R =
or
R =
or
R =
now,
for convergence R|x| < 1
Therefore,
< 1
or
and,
Radius of the convergence is R =
and,
The Interval of convergence is
The regression equation for the data given is y= -8.57 -2.31x
Step-by-step explanation:
The first step is to form a table as shown below;
x y xy x² y²
1 4 4 1 16
2 1 2 4 1
3 5 15 9 25
4 10 40 16 100
5 16 80 25 256
6 19 114 36 361
7 15 105 49 225
28 60 360 140 984 ------sum
A linear regression equation is in the form of y=A+Bx
where ;
x=independent variable
y=dependent variable
n=sample size/number of data points
A and B are constants that describe the y-intercept and the slope of the line
Calculating the constants;
A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²
A=(60)(140) - (28)(360) / 7(140)-(28)²
A=8400 - 10080 /980-784
A= -1680/196
A= - 8.57
B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²
B= 7(360)-(28)(60) / 7(60) - (28)²
B=2520 - 1680 /420-784
B=840/-364
B= -2.31
y=A+Bx
y= -8.57 -2.31x
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Regression equation :brainly.com/question/12280902
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and
(f+g)(x) =
combining like terms gives you answer choice B