How many favorable outcomes are expressed in the fraction 12/5
1 answer:
Answer:
The number of favorable outcomes is 5
Step-by-step explanation:
<u><em>The correct question is</em></u>
How many favorable outcomes are expressed in the fraction 5/12
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the event space is the number of outcomes in the event you are interested in or the number of favorable outcomes
The size of the sample space is the total number of possible outcomes
In this problem we have
therefore
The number of favorable outcomes is 5
The total number of possible outcomes is 12
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see the attached figure to better understand the problem
we have that
Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC
substitute the values in the formula
Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem
substitute the values
Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem
substitute the values
therefore
<u>the answer is</u>
the length of BD is 11.93 units
Let price of the Caleb's groceries was $x.
Given that tax rate is 2.5% or 0.025
Then sales tax is given by product of 0.025 and x.
which is 0.025x.
Given that tax paid is $1.60 so both must be equal
divide both side by 0.025
Hence final answer is $64.