Answer:
Step-by-step explanation:
0.75 feet / day [ 1 day / 24 hours] * [12 inches / 1 foot]
This process is called dimensional analysis. The trick it uses is to cancel out units (like feet or days ) where possible. In this case, 1 day is going to cancel out and leave behind 24 hours. 1 foot will cancel out and leave behind 12 inches.
It is well worth learning how to do this, because the process is done in the higher sciences.
So what you are left with is
0.75 * 12 inches / 24 hours
0.75 inches /hour * 1/2
0.375 inches / hour.
Answer:
A- 0.125
B- Success of climbing mount Everest is independent of age.
Step-by-step explanation:
A.
Let x denote success in climbing Mount Everest
Let y denote the climber is at least 60 years old.
Therefore,
P(x) = 0.31
P(y) = 0.04
P( x ∩ y) = 0.005
Probability of success when the climber is at least 60 years old =
P( x ∩ y) ÷ P(y) = 0.005 ÷ 0.04 = 0.125.
B.
The success rate is independent of age as there are both success and failure rates across board on the scale of ages of climbers.
Answer:
126 students in choir
Step-by-step explanation:
We have the ratio 3 : 1 for choir : band
x choir : 42 band = 3: 1
x = 3 * 42 = 126 students in choir
Answer: y= - 1x- 4
Step-by-step explanation:
Answer:
Simplifying
8x + -3 = 5(2x + 1)
Reorder the terms:
-3 + 8x = 5(2x + 1)
Reorder the terms:
-3 + 8x = 5(1 + 2x)
-3 + 8x = (1 * 5 + 2x * 5)
-3 + 8x = (5 + 10x)
Solving
-3 + 8x = 5 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
-3 + 8x + -10x = 5 + 10x + -10x
Combine like terms: 8x + -10x = -2x
-3 + -2x = 5 + 10x + -10x
Combine like terms: 10x + -10x = 0
-3 + -2x = 5 + 0
-3 + -2x = 5
Add '3' to each side of the equation.
-3 + 3 + -2x = 5 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 5 + 3
-2x = 5 + 3
Combine like terms: 5 + 3 = 8
-2x = 8
Divide each side by '-2'.
x = -4
Simplifying
x = -4
Step-by-step explanation:
