Answer:
as p decreases, sigma decreases.
Step-by-step explanation:
Given that 35%are hispanic. For a sample of 17 members
n = 17
p = 0.35
and the number of Hispanics on the committee would have the binomial distribution
a) Mean of X = E(x) = 
b) Std dev X = 
c) Here n =17 and p =0.1

d) When p = 0.01

Thus we find that as p decreases, sigma decreases.
40%
The probability of her getting a red marble is the number of red marbles divided by the number of total marbles. Since she picked a green marble first, we must subtract one marble from the total number of marbles, so that the total # of marbles is 6 + 6 + 4 = 16 - 1 (green marble) = 15. Since there are 6 red marbles, our probability is 6/15 or 2/5. Converted to percentage form, this is 0.4 —> 40%
Answer:

Step-by-step explanation:
we know that
In the triangle abc
if 
then

Because, the sum of the interior angles in a triangle must be equal to 180 degrees
therefore
Triangle abc is a right triangle
see the attached figure to better understand the problem
The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse
so

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse
so

therefore

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle
so


Step-by-step explanation:
tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.
Therefore 1.6m / (2m + x) = 1/√3
By cross multiplication, 1.6√3 = 2 + x.
Hence, x ≈ 0.77m.
Answer:
given in the figure an isosceles right triangle
hence
x = √3
- √3 is a <u>surd</u> it can't be simplified further