Answer:
The price for the first 100 customers is $142.00.
Step-by-step explanation:
Step 1: 10% of 179.99 = 17.99
Step 2: $179.99 - $17.99 = $162.00
Step 3: $162.00 - $20.00 = $142.00
y = (x - 2)(x + 5) First I would multiply (x - 2) and (x + 5) together
y = x² + 5x - 2x - 10
y = x² + 3x - 10
Next I would plug in a number for x to find its y value. I will plug in 0
y = 0² + 3(0) - 10
y = -10
(0, -10) [this is the y-intercept (the y value when x = 0)]
Your answer is Graph A because the y-intercept is (0,-10)
Answer:
Hello TheSection
Step-by-step explanation:
I see your stalking me right now. GIVE ME BACK BRAINLIEST RIGHT NOW TheSection THAT WAS MY 1st EVER AND YOU STOLE IT
Answers:
x = 2√2 units
y = 2√6 units
Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.
1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units
2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units
Hope this helps :)
Answer:
We accept H₀
Step-by-step explanation:
Normal Distribution
size sample n = 69
sample mean 18.94
standard deviation 8.3
Is a one tailed-test to the left we are traying of find out is we have enough evidence to say that the mean is less than 20 min.
1.-Test hypothesis H₀ ⇒ μ₀ = 20
Alternative hypothesis Hₐ ⇒ μ₀ < 20
2.- Critical value
for α = 0.1 we find from z Table
z(c) = - 1.28
3.-We compute z(s)
z(s) = [ ( μ - μ₀ ) / (σ/√n) ⇒ z(s) = [( 18.94 - 20 )*√69)/8.3]
z(s) = ( -1.06)*8.31/8.3
z(s) = - 1.061
4.- We compare
z(c) and z(s) -1.28 > -1.061
Then z(c) > z(s)
z(s) in inside acceptance region so we accept H₀
