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3 years ago

Find the area of the sector of the circle with radius 2 meters and central angle 11pi over 6

Mathematics

1 answer:

Natali [406]3 years ago

5 0

$Area=r^2\theta/2$

$A= (2)^2\cdot 11\pi/12=11\pi/3$

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A poll was conducted by a home mortgage company regarding home ownership in the United States. The company polled 1,488 American

____ [38]

If the sample size is 1488 and confidence interval of 99% then the margin of error is 0.03088.

Given sample size of 1488, percentage of those polled own a home be 69% and confidence level be 99%.

We are required to find the approximate margin of error.

Margin of error is the difference between calculated values and real values.

n=1488

p=0.69

Margin of error=z* $\sqrt{p(1-p)/n}$

Z score when confidence level is 99%=2.576.

Margin of error=2.576* $\sqrt{0.69(1-0.69)/1488}$

=2.576* $\sqrt{(0.69*0.31)/1488}$

=2.576* $\sqrt{0.2139/1488}$

=2.576* $\sqrt{0.0001437}$

=2.576*0.01198

=0.03088

Hence if the sample size is 1488 and confidence interval of 99% then the margin of error is 0.03088.

Learn more about margin of error at brainly.com/question/10218601

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3 0

2 years ago

Tricia completed the square of the quadratic function f(x)=x^2+14x+2 and determined the coordinates of the minimum value are (-7

eduard

To complete the square you halve the coefficient of the x term and square it. Half of 14 is 7 and 7² is 49. So we add 49 and subtract 49, which means we are not changing the value of the quadratic. So we have x²+14x+49-49+2. This can be written: (x²+14x+49)-49+2, which is (x+7)²-47, which is answer a.

8 0

3 years ago

11+x+13=40 Challenge of the day

mina [271]

Answer:

x = 16

Step-by-step explanation:

11 + x + 13 = 40

x + 24 = 40

x = 40 - 24

x = 16

Thus, The value of x is 16

-TheUnknownScientist

4 0

3 years ago

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Solve the equation: (x^4 - x + y)dx - xdy=0

algol [13]

Keeping in mind that "dx" is the delta x, or differential over the x-axis, whilst "dy" is the delta y or differential over the y-axis,

$\bf (x^4-x+y)dx-xdy=0\implies \stackrel{\textit{distributing dx}}{x^4dx-xdx+ydx}-xdy=0
\\\\\\
ydx=xdy-x^4dx+xdx\implies y=\cfrac{xdy-x^4dx+xdx}{dx}
\\\\\\
y=\stackrel{\textit{distributing the denominator}}{x\cfrac{dy}{dx}-x^4+x}$

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3 years ago

Hamburger is sold 2 pounds for $4. If Alicia buys 10 pounds of hamburgers, how much will she pay?

raketka [301]

Answer:

Step-by-step explanation:

you multyply 4 by 10 to get 40 or add 4 10 times

7 0

2 years ago

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