Frank wrote 1/2 of his book report before dinner. he wrote another 1/8 of the report after dinner. What fraction of the report d
id he finish?
2 answers:
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Answer:
x = 10
Step-by-step explanation:
If S is between R and T, then RS + ST will be equal to RT.
See image.
Use this idea to write an equation.
2x + 3 + 4x = 63
Combine like terms, Subtract 3, Divide by 6, to solve for x. See image.
Probability helps us to know the chances of an event occurring. The probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.
<h3>What is Probability?</h3>Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,
Given that in the last week 71 customers paid cash, 4 customers used a debit card, and 36 customers used a credit card. Therefore, the total number of customers who came to the business last month is,
Total number of customers = 71 + 4 + 36 = 111
Now, the probability that the next customer will pay with cash is,
Probability
= Number of customers who pay with cash / Total number of customers
= 71 / 111
= 0.63963
To convert probability into percentage multiply it by 100%, therefore, the probability can be written as,
Probability = 0.63963 × 100%
= 63.963% ≈ 64%
Hence, the probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.
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Answer:
1.69% probability both are nervous around strangers.
24.31% probability at least one is nervous around strangers.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are nervous around strangers, or they are not. The people are chosen randomly, which means that the probability of a person being nervous around strangers is independent from other people. So we use the binomial probability distribution to solve this problem.
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.
About 13% of the population of a large country is nervous around strangers.
This means that .
Two people are randomly selected
This means that .
What is the probability both are nervous around strangers?
This is
1.69% probability both are nervous around strangers.
What is the probability at least one is nervous around strangersnervous around strangers?
This is
24.31% probability at least one is nervous around strangers.
Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to
where
P is the population
t is the time in years
a is the initial value
r is the rate of change
<u><em>Looking at the table</em></u>
For t=0
The value of P=1,000
so
substitute the value of the ordered pair (0,1,000) in the exponential equation
The initial value is a=1,000
substitute
For t=1
The value of P=1,400
so
substitute the value of the ordered pair (1,1,400) in the exponential equation
therefore
The exponential equation is