Answer:
x=4
Step-by-step explanation:
to get rid of the square root on the right you square both sides so
2x+8=x^2
Then bring
2x+8
to the left so you have 0=(x^2)−2x+8
Now you can do the quadratic formula to find the zeroes
Check the picture below.
let's notice that the angle -150° has a reference angle of 30°, so any trigonometric function for either angle will be the same value, however, let's recall that the sine or y-coordinate is negative on the III Quadrant, so sin(-150°) is the same as sin(30°) BUT negative, -sin(30°).
Answer:
900 sample size
Step-by-step explanation:
To determine the sample size for a proportion, the margin of error formula is used to determine this:


Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p,
is the z score.
Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5
E = 5% = 0.05,
= 3. Hence:
