Answer:
the clock will represent 4.5 billion years as 2.67 hours
Step-by-step explanation:
Data provided in the question:
Total time of history of Earth = 4.5 billion years
Representation of total time of history of Earth on clock = 12 hours
Therefore,
4.5 billion years = 12 hours
or
⇒ 1 billion year =
or
⇒ 1 billion year = 2.67 hours
Hence,
the clock will represent 4.5 billion years as 2.67 hours
Answer:
x = 5
y = 3
Step-by-step explanation:
9x and 45 are alternate interior angles, meaning they're congruent, so set them equal to one another, like so:
9x = 45
<em><u>Divide both sides by 9:</u></em>
x = 5
<u>Solving for y</u>, the two sides are of equal length, so set them equal:
6y = 18
<em><u>Divide both sides by 6:</u></em>
y = 3
Answer:





Step-by-step explanation:
For each homeowner, there are only two possible outcomes. Either they have invested in earthquake insurance, or they have not. The probability of a home owner having invested in earthquake insurance is independent from other homeowners. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
32% of all homeowners are insured against earthquake damage.
This means that 
Four homeowners are to be selected at random.
This means that 
Find the probability distribution of X.
This is the probability of each outcome






Step-by-step explanation:
2/3 is not greater than 5/7 and the answer to the question "Is 2/3 greater than 5/7?" is no. When comparing fractions such as 2/3 and 5/7, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.