Arc length = radius * central angle (in radians)
arc length = 63 * 2PI/9 radians
arc length = 14 PI
We will use PEMDAS rule to simplify the given expression.
PEMDAS rule is given by:
P
-Parentheses first
E
-Exponents (ie Powers and Square Roots, etc.)
MD-Multiplication and Division (left-to-right)
AS
-Addition and Subtraction (left-to-right)
Step 1: P-parenthesis first.
(3-9) is -6
√16 -1 = 4-1 =3
So new expression becomes : 
Step 2:
Multiplying (-3)*(-6)*2
We get +36
So new expression becomes : 25 +36
Step 3: Addition
Adding 25 and 36 we get 61
So final answer is 61 .
Answer: The spin of the wheel by the contestant is an illustration of a sine function whose equation is y = -1.25sin(0.8x + 0.25)
The original price was 8.50 dollars<span />
Answer:
D) Neither X nor Y can be well approximated by a normal random variable.
Step-by-step explanation:
X = number of males (out of the 20) who are colorblind.
Y = number of females (out of the 40) who are colorblind.
Z = total number of colorblind individuals in the sample (males and females together).
The condition to use the normal approximation is that np > 5 and nq > 5
For X:
n = 20, p = 8% = 0.08,
q = 1 - 0.08 = 0.92
np = 20 * 0.08
np = 1.6 ( np < 5)
np = 20 * 0.92
np = 18.4 ( nq > 5)
For Y:
n = 40, p = 1% = 0.01,
q = 1 - 0.01 = 0.99
np = 40 * 0.01
np = 0.4 ( np < 5)
np = 40 * 0.99
np = 39.6 ( nq > 5)
For both X and Y, np < 5 and nq > 5. Since both np and nq are not greater than 5, both samples cannot be approximated by a normal distribution.
