Arcsin x + arcsin 2x = π/3
arcsin 2x = π/3 - arcsin x
sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)
2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)
2x = √3/2 . cos(arcsin x) - (1/2)x)
but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²) - (1/2)x)
Reduce to same denominator:
(4x) = √3 .√(1-x²) - (x)===>5x = √3 .√(1-x²)
Square both sides==> 25x²=3(1-x²)
28 x² = 3 & x² = 3/28 & x =√(3/28)
Answer:
1.89 is the standard deviation of households who own a riding mower
Step-by-step explanation:
Let the random variable X denote the number of households owning a riding lawn mower. From the given information, X will be a Binomial random variable with parameters; n = 17 and p = 30% = 0.3
The standard deviation of X;


To find the percent. A trick I learned in middle school was Dr. P
To turn a decimal to a percent and a percent to decimal... (look at picture)
Using that trick...
All you do is multiply $287.69 by .20
Which gives you $57.538 so you can round to either...
$57.54
Or
$57.50
Or
$58
And one of those are your answer!
Answer:

Step-by-step explanation:

Factor the equation:


Rewrite to suit the format of multiplying two fractions. Remember, dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second. A reciprocal of a fraction is when one switches the place of the numerator and the denominator, that is, the value on top (numerator), and the value on the bottom (denominator).

Simplify, take out common terms that are found on both the numerator and denominator

