The number of degrees of freedom is large, then the student's T distribution is close to the normal distribution.
The degrees of freedom is the number of observation in a sample that are free to vary when we estimate the statistical data. Degree of freedom will also indicate the independent piece of information in the data.
Basically, the T distribution or student's distribution is a family's of distribution that look identical to the normal distribution.
So, the number of degrees of the freedom is large then it will closely related to normal distribution.
To know more about degrees of freedom here.
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You'll need to use parentheses here to convey this problem accurately to possible helpers. Unsure of whether you mean (9/2)k -3 or 9 / (2k-3).
I will assume that you mean:
9 4
------- = ---------
2k-3 k+1
Cross mult: 9k+9=8k-12, so k= -21.
If that's not what you expected, then try again to present the problem without ambiguities.
Answer:
2nd option
Step-by-step explanation:
Given
3x³ - 15x² - 4x + 20
step 1 ( group the first/second and third/fourth terms )
(3x³ - 15x² ) + (- 4x + 20)
step 2 ( factor each group )
3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )
step 3 ( factor out (x - 5) from each term )
(x - 5)(3x² - 4)
Given end points of diameter,
(x1,y1)=(-3,-4)
(x2,y2)=(0,0)
Now,
the equation of circle is,
(x-x1)(x-x2)+(y-y1)(y-y2)=0
or, (x+3)(x-0)+(y+4)(y-0)=0
or, x^2 +3x +y^2 +4y =0
or, x^2 +y^2 +3x + 4y=0
which is in the form of x^2 +y^2 +2gx +2fy + c=0
where,
g=3/2
h=2
c=0
Now,
Answer:
5 video games.
Step-by-step explanation:
In order to find the total number of video games that Tracy can buy with the money, she has we first need to find how much money she has left after buying the clothes. To do this we subtract the amount she spent on clothes by the initial total that Christina had.
120 - 68 = 52
Now that we know Christina has a remaining $52, we can divide this amount by the value of each individual game ($10) in order to calculate how many she can actually afford.
52 / 10 = 5.2
Finally, we can see that she can afford to only buy 5 video games.
