X²+4x+20=0a=1 b=20 c=4
a=1 b=4 c=-20
a=1 b =4 c = 20
a=1 b=-4 c=0
2x²+6x+5=0
-2x²+x+5 identify the coefficients
Answers
Step-by-step explanation:
The general form of the quadratic equation is :
The given equation is x²+4x+20=0
On comparing the given equation and the general equation, we find that
a = 1, b = 4 and c = 20
Hence, the correct option is a=1 b =4 c = 20.
If the equation is 2x²+6x+5=0, then
a = 2, b = 6 and c = 5
If the equation is -2x²+x+5
a = -2, b = 1 and c = 5
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(2x-8)times(3x-2) pls help
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Answers
Answer:
A
Step-by-step explanation:
Logx-log(x+13)=1
Step by step explanation please
Answers
Answer:
Step-by-step explanation:
Applying logarithm rule
Log A - Log B= Log(A/B). Division rule
Now, Logx-log(x+13)=1
Log(x/(x+13))=1
Assume that the log is a natural log whose base is 10.
Then apply logarithm law
Log10 base 10=1
Comparing this to Log(x/(x+13))=1
This implies that
x/(x+13)=10
x=10(x+13)
x=10x+130
x-10x=130
-9x=130
x=130/-9
x=-14.444
and $
to earn 10.5% on his investments.
Answers
y=12%
x+y=20000
0.07x+0.12y=20000*0.19=3800
A)1/3
B)3/2
C)2/3
D)-3/2
Answers
Step-by-step explanation:
the picture even tells you the formula.
what ? you cannot do these simple subtractions yourself ? what don't you understand there ? please tell me, so that I can help you with that.
as the formula says, the slope is y difference / x difference between the 2 points.
E = (-2, -4)
F = (2, 2)
for the difference calculation it is just important that you do both in the same direction.
x difference = 2 - -2 = 4
y difference = 2 - -4 = 6
so the slope is 6/4 = 3/2
therefore, B 3/2 is the correct answer
that's it. that is all there was to this.
FYI - the slope indicates how many units y changes, when x changes a certain amount of units when you go from one point on the line to another.
-distribution sill get taller and SD will decrease
-distribution will get shorter and SD will decrease
Distribution will get shorter and SD will increase
Answers
Answer:
Distribution will get taller and SD will decrease.
Step-by-step explanation:
Sample Size and Standard Deviation:
In a t-distribution, sample size and standard deviation are inversely related.
A larger sample size results in decreased standard deviation and a smaller sample size will result in increased standard deviation.
Sample Size and Shape of t-distribution:
As we increase the sample size, the corresponding degree of freedom increases which causes the t-distribution to like normal distribution. With a considerably larger sample size, the t-distribution and normal distribution are almost identical.
Degree of freedom = n - 1
Where n is the sample size.
The shape of the t-distribution becomes more taller and less spread out as the sample size is increased
Refer to the attached graphs, where the shape of a t-distribution is shown with respect to degrees of freedom and also t-distribution is compared with normal distribution.
We can clearly notice that as the degree of freedom increases, the shape of the t-distribution becomes taller and narrower which means more data at the center rather than at the tails.
Also notice that as the degree of freedom increases, the shape of the t-distribution approaches normal distribution.
Final answer:
In a t-distribution, as the sample size increases, the distribution becomes 'shorter', and the standard deviation decreases following the law of large numbers. The increased sample size reduces variability and introduces less deviation from the mean.
Explanation:
As the sample size increases for a t-distribution, the distribution tends to approach a normal distribution shape, which means the distribution will get 'shorter'. Additionally, the standard deviation (SD) would generally decrease as the sample size increases. This is due to the fact that when sample size increases, a smaller variability is introduced, hence less deviation from the mean.
To illustrate, imagine rolling a dice. If you roll it a few times, you may end up with quite a bit of variation. If you roll it a hundred times, however, the numbers should average out closer to the expected value (3.5 for a six-sided dice), and the standard deviation (a measure of variability) would decrease.
In conclusion, when the sample size increases, a t-distribution will get 'shorter' and SD will decrease. This concept is often referred as the law of large numbers.
Learn more about t-distribution here:
#SPJ6
Answers
Step-by-step explanation:
∫ dt / (cos²(t) ⁹√(1 + tan(t)))
If u = 1 + tan(t), then du = sec²(t) dt.
∫ du / ⁹√u
∫ u^(-1/9) du
9/8 u^(8/9) + C
9/8 (1 + tan(t))^(8/9) + C