X = 1st piece, y = 2nd piece, z = 3rd piece
x + y + z = 224
x = 2y
z = 1/2y
2y + y + 1/2y = 224
3.5y = 224
y = 224/3.5
y = 64 cm<== 2nd piece
x = 2y
x = 2(64)
x = 128 cm...1st piece
z = 1/2y
z = 1/2(64)
z = 64/2
z = 32 cm....3rd piece
Answer:
definitely A
Step-by-step explanation:
10 degrees. hope this helps lovely <3
Answer:
One tailed
To conclude if there is an increase in the mean gas mileage due to new type of tire.
Step-by-step explanation:
We are given the following in the question:
The manufacture wants to compare increase in the mean gas mileage.
Population mean = 32 miles per gallon
Thus, the manufacture could carry a hypothesis test to compare mean.
A one tailed test (z-test or t-test) based on the information can be used to compare the increase in mean.
Thus,
The automotive manufacturer should perform a one tailed hypothesis test to conclude if there is an increase in the mean gas mileage due to new type of tire.
Answer:
18 hours
Step-by-step explanation:
First, he worked 3 hours babysitting, so he already made 8*3=24 dollars.
This means he must work 200-24=176 dollars lifeguarding.
Divide that by how much he makes per hour, and 176/15=11.7333 hours lifeguarding.
Round that up if he can't do a fraction of an hour to get 12 hours lifeguarding.
This is possible because the total hours worked is 12+3=15, which is less than 18.
Answer:
-3/4
Step-by-step explanation:
Let x₁ = -3 x₂ = 5 y₁ = 4 y₂ = -2
The slope of a linear function is defined by:
- m = rise / run
- = (y₂ - y₁) / (x₂ - x₁)
- = (-2 - 4) / (5 - (-3))
- = (-6) / (8)
- = -3/4
