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NeX [460]
4 years ago
9

How would you simplify SinxCosx (tanx + cotx)

Mathematics
1 answer:
eduard4 years ago
3 0

Answer:

1

Step-by-step explanation:

sin x cos x(tan x+cot x)

=sin x cos x[(sin x)/(cos x)+(cos x)/(sin x)]

=sin x cos x [(sin²x+cos ²x)/(sin x cos x)]

=sin x cos x(1/(sin x cos x))

=1

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In a certain population, body weights are normally distributed with a mean of 152 pounds and a standard deviation of 26 pounds.
Burka [1]


xBar ± z * sx / sqrt(n)

 

where xBar is the sample mean

z is the zscore for having α% of the data in the tails, i.e., P( |Z| > z) = α

sx is the sample standard deviation

n is the sample size

 

For sample size calcualtions we need the following. The width of the interval, from one end point to the center is:

 

z * sx / sqrt(n) =

 

w and solving for n gives:

 

<span> n = (z * sx / w) ^ 2 </span>

 

remember that n needs to be an integer. Always take the ceiling, i.e., round up. If you round down then the width of the interval will not be correct, it will be too wide. By rounding up, the interval will be more narrow than asked for, but this is a good thing. It means there is more precision in the estimate.

 

<span> here we have </span>

 

z = 2.05

w = 0.04 * 152 = 6.08

n = (z * sx / w) ^ 2 n = (2.05 * 26 / 6.08)^2

n = 76.8506

 

Round of the answer since n must be an integer.

 

<span>n = 77 </span>

7 0
4 years ago
If the volume of a sphere is 288(3.14) what is the surface area
VikaD [51]
Using formula A=4πr2
A=π⅓(6V)⅔=π⅓·(6·288)⅔≈210.90123
So area is apprix 210.9
7 0
3 years ago
What is the distance between points D(-10, 2)and E(6,10)​
miskamm [114]
The answer is 1/2 or 8/16 if it asks not to simplify
3 0
3 years ago
Read 2 more answers
Find the product.
scoray [572]

Answer: 112-15i

Step-by-step explanation:

(7)(8)+(7)(7i)+(-8i)(8)+(-8i)(7i)

56+49i-64i(-56(-1))

56+49i-64i+56

112-15i

6 0
4 years ago
Read 2 more answers
Is x^-3-5y^-2 a polynomial
KiRa [710]

Answer:

Yes, it is.

Step-by-step explanation:

A polynomial is a mathematical expression containing two or more terms.

For example, a+b is a polynomial. 2a-23b+c is also a polynomial.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
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