Lucas and Tayvan can paint a house in 1 hour working together. If Tayvan works alone, he can paint the house in 1.5 hours. How l
1 answer:
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There are 4+6=10 people in the team.
First calculate in how many ways you can choose 3 people from a group of 10 people, using combination:
You can choose 3 people in 120 ways.
You can select 1 girl from a group of 4 girls in 4 ways.
Calculate in how many ways you can choose 2 boys from a group of 6 boys:
You can choose 2 boys in 15 ways.
Using the rule of product, you can calculate that you can choose 1 girl and 2 boys in 4×15=60 ways.
The probability of choosing 1 girl and 2 boys is the number of ways you can choose 1 girl and 2 boys divided by the number of ways you can choose 3 people from the group.
The probability is 1/2, or 50%.
First calculate in how many ways you can choose 3 people from a group of 10 people, using combination:
You can choose 3 people in 120 ways.
You can select 1 girl from a group of 4 girls in 4 ways.
Calculate in how many ways you can choose 2 boys from a group of 6 boys:
You can choose 2 boys in 15 ways.
Using the rule of product, you can calculate that you can choose 1 girl and 2 boys in 4×15=60 ways.
The probability of choosing 1 girl and 2 boys is the number of ways you can choose 1 girl and 2 boys divided by the number of ways you can choose 3 people from the group.
The probability is 1/2, or 50%.
Answer:
The maximum height is 784 feet
Step-by-step explanation:
In this problem we use the kinematic equation of the height h of an object as a function of time
Where is the initial velocity and
is the initial height.
We know that
Then the equation of the height is:
For a quadratic function of the form
where
the maximum height of the function is at its vertex.
The vertice is
In this case
Then the vertice is:
Now we calculate h (6)
The maximum height is 784 feet