Answer:
(-1, -4)
Step-by-step explanation:
The critical point is the point where the slope is 0 or undefined.
This is a parabola (quadratic), so there wont be any undefined points, only a critical point where slope is 0.
We need to take the derivative of the function and set it equal to 0 to find the x coordinate of the critical point. Then we plug in that x point into original equation to find the y coordinate.
Lets see the power rule of differentiation before we differentiate this function.
Power Rule:
Also, differentiation a constant is always 0!!
Now, differentiating:
Now, we set equal to 0 and find x:
Now, we find y:
So,
x = -1
y = -4
<u>The critical point is (-1, -4)</u>
Answer:
UV = 45
Step-by-step explanation:
ZY is the perpendicular bisector of UV , then
UV = 2 × UY = 2 × 22.5 = 45
<u>-2</u>
<em>The</em><em> </em><em>difference</em><em> </em><em>between</em><em> </em><em>16</em><em> </em><em>and</em><em> </em><em>7</em><em> </em><em>is</em><em> </em><em>9</em><em> </em><em>and</em><em> </em><em>the</em><em> </em><em>difference</em><em> </em><em>between</em><em>-11</em><em> </em><em>and</em><em> </em><em>-20</em><em> </em><em>is</em><em> </em><em>9</em><em> </em><em>as</em><em> </em><em>well</em><em> </em><em>meaning</em><em> </em><em>that</em><em> </em><em>the</em><em> </em><em>numbers</em><em> </em><em>go</em><em> </em><em>d</em><em>o</em><em>w</em><em>n</em><em> </em><em>in</em><em> </em><em>9</em><em> </em>
<em>therefore</em><em> </em><em>7-9</em><em> </em><em>is</em><em> </em><em>-2</em>
Hope this helped you- have a good day bro cya)
Answer:
A
Step-by-step explanation:
Hope this helps!
The sample size needed to obtain a margin of error of 0.05 for the estimation of a population proportion is 384.
Given margin of error of 0.05 and confidence interval of 95%.
We have to find the sample size needed to obtain a margin of error of 0.5 with confidence level of 95%.
Margin of error is the difference between real values and calculated values.
The formula of margin of error is as under:
Margin of error=z*σ/
where
z is the critical value of z for given confidence level
n is sample size
σ is population standard deviation
We have not given population standard deviation so we will use the following formula:
Margin of error=z*/
We have to find z value for 95% confidence level.
z value=1.96
We know that <=1/2
put =1/2
Margin of error=1.96*1/2/
0.05=1.96*0.5/
=0.98/0.05
=19.6
squaring both sides
n=384.16
After rounding off we will get
n=384.
Hence the sample size needed to obtain a margin of error of 0.05 is 384.
Learn more about margin of error at brainly.com/question/10218601
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