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jok3333 [9.3K]
3 years ago
10

Lefties The author had difficulty finding the percentage of people who write with their left hand. If we want to estimate that p

ercentage based on survey results, how many people must we survey in order to be 99% confident that we are within two percentage points of the population percentage? Assume that we know nothing about the percentage of the population that writes with the left hand.
Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0
I am a lefty, and I know for a fact that 40% off the population write with there left
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The volume of a sphere is 5000 pi meters cubed. What is the surface area
faltersainse [42]
I hope this helps you



5000.pi=4/3.pi.r^3


r^3=3750



r=15,53


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2 years ago
Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees
a_sh-v [17]

Answer:

y(x)=tan(-log(cos(x))+\frac{\pi }{3} )

Step-by-step explanation:

Rewrite the equation as:

\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)

Isolating \frac{dy}{dx}

\frac{dy}{dx} =tan(x)+tan(x)*y^{2}

Factor:

\frac{dy}{dx} =tan(x)*(1+y^{2} )

Dividing both sides by (1+y^{2} ) and multiplying them by dx

\frac{dy}{1+y^{2} } =tan(x)dx

Integrate both sides:

\int\ \frac{dy}{1+y^{2} } = \int\ tan(x)  dx

Evaluate the integrals:

arctan(y)=-log(cos(x))+C_1

Solving for y:

y(x)=tan(-log(cos(x))+C_1)

Evaluating the initial condition:

y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)

\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1

Converting 60 degrees to radians:

60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}

Replacing C_1 in the diferential equation solution:

y(x)=tan(-log(cos(x))+\frac{\pi }{3} )

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Help I need answers now
Juli2301 [7.4K]

Answer:

<u>The Answer in Exact Form:</u>

-3/22

<u>In Decimal Form:</u>

-0.136

Step-by-step explanation:

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Question<br> Which numbers are equivalent to 25,000−1.56×103?<br><br> Select all correct numbers.
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Answer: B, E

Step-by-step explanation:

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