Skateland charges a $50 flat fee for birthday party rental and $5.50 for each person. Joann can spend at most $100 on her birthd
2 answers:
Answer:
Joann can afford maximum 9 friends in her party.
Step-by-step explanation:
Let she can invite x friends in her party.
Skateland charges fixed charges = $50 and $5.50 for each person.
So the total charges she has to pay for x friends = $(5.5x + 50)
Since Joann can spend at most $100.
So the inequality which will represent the expenditure will be
(5.5x + 50) ≤ 100
5.5x ≤ 100 - 50
5.5x ≤ 50
x ≤
x ≤ 9.09
Therefore, Joann can afford maximum 9 friends in her party.
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Answer:
Step-by-step explanation:
The axis of symmetry can be calculated using the formula:
First we must determine a and b from the quadratic: . This is in standard form, with the highest power first in descending order.
Standard form is also:
If we compare this to the quadratic given, we can conclude that:
Substitute the values for a and b into the formula.
Multiply in the denominator.
Divide.
This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Step-by-step explanation:
Let us revise some rules of probability
The addition rules are:
- P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
- P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)
∵ A batch has 100 parts
∵ 40 are red
- Probability of an event is the [even occurs/total outcomes]
∴ P(red) =
∵ 50 are L-shaped
∴ P(L-shaped) =
∵ 22 are both red and L-shaped
∴ P(red and L-shaped) =
This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule
∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)
∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22
∴ P(red or L-shaped) = 0.68
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Learn more:
You can learn more about the probability in brainly.com/question/2254182
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