Answer:
option 1
Step-by-step explanation:
the pattern will continue like this:
50 - 25
answer 1 is the correct answer!
The answer is: "
41 / 11 " ; or, write as: "
41 : 11 " .
__________________________________________________________Explanation:__________________________________________________________72/99 = (72÷9) / (99÷9) = 8/ 11 .
So, 3.727272727272... = "3
" .
→ "3
" = [(11 *3) + 8] / 11 = (33 + 8) / 11 = 41 / 11 .
__________________________________________________________ "41 / 11" cannot be simplified any further; so the answer is:
__________________________________________________________ "
41 / 11 " ; or, write as: "
41 : 11 " .
__________________________________________________________
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
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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)
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I hope this is what you wanted.
Regards,
Divyanka♪
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Answer:
The point estimate for p is 0.5637.
Step-by-step explanation:
Point estimate for the proportion of all judges who are introverts.
We have a big sample.
So the proportion of the sample proportion of introverted judges can be used as the estimation of the population proportion.
In the sample:
502 judges
283 introverts.
So
p = 283/502 = 0.5637
The point estimate for p is 0.5637.
(1) circumference of a circle = 2π.R
(2) area of a circle = π.R²
Area = 452.16 m² (given), so we can calculate the radius:
452.16 = π.R²
452.16/π = R²
143.92 = R² → R =√143.92 ≈ 12 m
Having R = 12, now we can calculate the circumference :
circumference of a circle = 2π.R = 2.π.12 = 75.41 m
