To find the number of employees we use combination formula.
n!/(n-r)! r!
Put values
11!/(11-3)! 3!
Simplify
11!/8!3! = 165
Answer: Option A 165
Answer:
The number of weeks required = 216 weeks
Step-by-step explanation:
Given that:
Margin of Error E = 200
Confidence interval = 95% = 0.95
Level of SIgnificance = 1 - C.I
= 1 - 0.95
= 0.05
Standard deviation = 1500
The Critical value for Z :
The number of weeks( i.e the sample size (n) ) required is :
n = 216.09
n ≅ 216 weeks
Divide them on a calculator
Tan(θ) = 3 tan(θ), 0° ≤ θ ≤ 360°
Solve for θ to the nearest degree.
tan(θ) = 3 tan(θ)
Subtract tan(θ) from both sides:
0 = 2 tan(θ)
Divide by 2 both sides:
tan(θ) = 0
If (x,y) is a point on the terminal ray of θ,
then tan(θ) = y/x = 0, and y = 0.
y = 0 ==> θ = 0°, 180°, or 360° in the interval 0° ≤ θ ≤ 360°.
Answer:
The values of y are -33 , -15 , -5 , -5 ⇒ answer C
Step-by-step explanation:
* We will use the substitution method to solve the problem
- The quadratic equation is y = -x² + x - 3
- The values of x are -5 , -3 , -1 , 2
- We will substitute the values of x in the equation to find the
values of y
# At x = -5
∵ y = -x² + x - 3
∵ x = -5
∴ y = -(-5)² + (-5) - 3 = - 25 - 5 - 3 = -33
∴ y = -33
# At x = -3
∵ y = -x² + x - 3
∵ x = -3
∴ y = -(-3)² + (-3) - 3 = - 9 - 3 - 3 = -15
∴ y = -15
# At x = -1
∵ y = -x² + x - 3
∵ x = -1
∴ y = -(-1)² + (-1) - 3 = - 1 - 1 - 3 = -5
∴ y = -5
# At x = 2
∵ y = -x² + x - 3
∵ x = 2
∴ y = -(2)² + (2) - 3 = - 4 + 2 - 3 = -5
∴ y = -5
* The values of y are -33 , -15 , -5 , -5 ⇒ from left to right
