Using the proportion concept, it is found that:
- According to Tyler's sample, the estimate is of 0.2 = 20%.
- According to Kyran's sample, the estimate is of 0.17 = 17%.
- Due to the higher sample size, Kyran's estimate is more accurate.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and larger sample sizes lead to more accurate predictions.
In Tyler's sample, 2 out of 10 students would dye their hair blue, hence:
p = 2/10 = 0.2.
In Kiran's sample, 17 out of 100 would, hence:
p = 17/100 = 0.17.
Due to the higher sample size, as 100 > 20, Kyran's estimate is more accurate.
More can be learned about proportions at brainly.com/question/24372153
Suppose that equation of parabola is
y =ax² + bx + c
Since parabola passes through the point (2,−15) then
−15 = 4a + 2b + c
Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c
Since parabola passes through the point (−3,−5), then
−5 = 9a − 3b + c
Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5
Solving it we get that
a = −2, b = −4, c = 1
Thus, equation of parabola is
y = −2x²− 4x + 1
____________________
Rewriting in the form of
(x - h)² = 4p(y - k)
i) -2x² - 4x + 1 = y
ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)
iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)
iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)
v) -3(x + 7/6)² = y - 445/36
vi) (x + 7/6)² = -⅓(y - 445/36)
(Shifting -⅓ to RHS)
vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p)
So, after rewriting the equation would be -
(x + 7/6)² = 4(-⅛)(y - 445/36)
__________________
I hope this is what you wanted.
Regards,
Divyanka♪
__________________
It is true if two vectors point in opposite directions. This means their cross product must be zero.
<h3>What is cross product?</h3>
Cross product is a vector product of two vectors in the three dimensional vector space.
In the case when the two vectors point in opposite directions so there cross product should be zero.
Impact on two points:
In the case when the two vectors point in opposite directions so there cross product should be zero.
Like
A*B = [A][B] sin
Here theta is be the angle that lies between them
So,
A*B = [A][B] sin 180
So, A*B = 0
hence, the given statement is true.
learn more about vectors here:
brainly.com/question/21797532
#SPJ4
3.5-= 7/2 3.5 =350 percent thats what i got sorry if it doesnt help
Answer and Step-by-step explanation:
Variance is the measurement of the spread bewteen the numbers of the data set and can be calculated by the formula:
σ² = ∑(x - ⁻x)² / n
1) With the data, find its mean (⁻x) by adding all the values and dividing the sum by total number of elements the data has;
2) Subtract each value of the data to the mean;
3) Square the result of the subtractions;
4) Add the squares;
5) Divide the sum by the total number of elements of the set;
6) The result is the Variance (σ²);
Standard Deviation is the measure of how far the values of the data set are from the mean and it is the square root of Variance:
σ = 
So, to calculate standard deviation, you just take the square root of the variance.
