Eight below zero would express the value -8, negative eight,
but not 8.
Answer:
D
Step-by-step explanation:
A coin has two sides. A side tagged the head and the order side tagged the tail.
By mathematical and probabilistic standards, a fair coin is a coin which has equal value of probabilities for head turning up as well as tail turning up.
what we are saying here is that for a fair coin, P(H) = P(T) = 0.5 or 1/2
Any option or value short of this will make the coin unfair. Whenever we are having the probability of the head greater than the probability of the tail or vice versa, then the coin in question has become unfair.
Now back to the options, by observation, expressing each of the options to the smallest numbers will yield 7/10.
Let’s have a decimal value of each go drive home the point;
7/10 = 0.7
70/100 = 0.7
700/1000 = 0.7
Thus the probability of the head which is meant to be 0.5 is now given as 0.7 which shows that the coin is unfair in all three options since in the real sense they are all same numbers written in different form which of course is not the 0.5 value we should have for a fair coin for probability of getting a head
Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
Answer:
18/36 or 1/2
Step-by-step explanation:
There are 18 nickels, which is the numerator.
You add all the numbers together to get the denominator, which is 12+6+18=36.
Then, you put the two values in a fraction - 18/36
and simplify, to get you 1/2.
