Answer:
Step-by-step explanation:
1 liter = 1000 ml
0.1 liter = 0.1*1000 = 100.0 = 100 ml
0.1 liter : 500 ml = 1 : 5
Kylie has a notebook for each of his five classes he put six stickers on each notebook there are 10 stickers on each sheet how m
1 answer:
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Answer:
a) Decrease
b) New mean = 78.43
c) Decrease
Step-by-step explanation:
We are given the following in the question:
Total number of students in class = 28
Average of 27 students = 79
Standard Deviation of 27 students = 6.5
New student's score = 63
a) The new student's score will decrease the average.
b) New mean
New mean =
Thus, the new mean is 78.43
c) Since the new mean decreases, standard deviation for new scores will decrease.
This is because the new value is within the usual values i.e. within two standard deviations of the mean. So, this wont cause a lot of variation as this value will be closer to already available data values. Also number of observations (n) in the denominator is increasing. Based on both these points we can conclude that standard deviation will decrease
Formula for Standard Deviation:
where are data points,
is the mean and n is the number of observations.
Answer:
α(t) = (-a*Sin(t), b*Cos (t)) where t ∈ [0, 2π]
Step-by-step explanation:
Given an arbitrary ellipse (x²/a²) + (y²/b²) = 1 (a, b > 0)
The parametrization can be as follows
x = -a*Sin(t)
y = b*Cos (t)
then
α(t) = (-a*Sin(t), b*Cos (t)) where t ∈ [0, 2π]
If t = 0
α(0) = (-a*Sin(0), b*Cos (0)) = (0, b)
If t = π/2
α(π/2) = (-a*Sin(π/2), b*Cos (π/2)) = (-a, 0)
If t = π
α(π) = (-a*Sin(π), b*Cos (π)) = (0, -b)
If t = 3π/2
α(3π/2) = (-a*Sin(3π/2), b*Cos (3π/2)) = (a, 0)
If t = 2π
α(2π) = (-a*Sin(2π), b*Cos (2π)) = (0, b)
We can see the sketch in the pic.
The completely factored form of the Wen's polynomial, which has the four terms initial, is,
The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
Wen is factoring the polynomial, which has four terms.
'
Take out the greatest common factor from the equation and make separate groups as,
Rearrange the above equation as,
Thus, the completely factored form of the Wen's polynomial, which has the four terms initial, is,
Learn more about factor of polynomial here;