Answer:
Step-by-step explanation:
a. sin^-1(sin theta) = theta
(1/sin)(sin theta) = theta
<em>the sines cross out</em> theta = theta
b. cos(cos^-1x) = x
cos(x/cos) = x
<em>the cosines cross out </em>x = x
To find the zeros, you have to factor the equation.
y=(x+19)(x-9)
This is because 19*-9=-171 and 19-9=10.
Now to make x=0, you have to make the equation
x+19=0
and x-9=0
To solve, isolate x on both equations.
This makes x=-19 and x=9.
Divide both sides by 6 to isolate variable
6x/6<18/6
x<3
Final answer: x< 3
Answer:
6x - 24y
Step-by-step explanation:
First, eliminate the braces by doing the multiplications:
-30x - 12y + 36x - 12y
Then group together the same variables:
6x - 24y
arguably, you could factor out a 6 and get:
6(x-4y)
but it is a matter of taste if that is simpler...
Answer: 0.55
Step-by-step explanation:
Given :
A typical adult has an average IQ score of n
with a standard deviation
.
Sample size : n= 20
Let x represents the IQ score of adults.
The probability that the sample mean scores will between 102 and 110 points will be :-

Therefore, the probability that the sample mean scores will between 102 and 110 points = 0.55