Mario makes 6 free throw shots out of his first 10 attempts. What is the least number of consecutive shots Mario must make to in
2 answers:
<h2>Answer:</h2>
The least number of consecutive shots Mario must make to increase his percentage from 60% to at least 70% is:
4
<h2>Step-by-step explanation:</h2>Mario makes 6 free throw shots out of his first 10 attempts.
The percentage is: 60%
- Now if she make 1 more shot at the 11th attempt then the percentage will be:
( Since out of total 11 attempts she made 6 free throw before and 1 more at 11th attempt )
- If she makes 2 consecutive shot after 10 attempts then the percentage will be:
Similarly,
- If she makes 3 consecutive shot after 10 attempts then the percentage will be:
which is still less than 70%
- Now if she makes 4 consecutive attempts in the 4 throws after 10 attempts then,
Percentage will be:
Hence, the percentage is atleast 70%
Hence, he has to make 4 consecutive shots to increase his percentage to atleast 70%.
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Answer:
fog = 2√(x-1) + 1
Domain = [1, )
Step-by-step explanation:
Given the functions f(x)=2x+1 and g(x)=sqrt(x-1), we are to find the composite function fog
fog = f(g(x))
f(g(x)) = f(√(x-1))
f(√(x+1)) means that we are to replace variable x in f(x) with the function √(x-1)
f(√(x-1)) = 2(√(x-1))+1
f(√(x+1)) = 2√(x-1) + 1
fog = 2√(x-1) + 1
<em>For the function to exist on any real valued function, then the function inside square root i.e x-1 must be greater than or equal to zero (x-1≥0)</em>
If x-1≥0
x≥0+1
x≥1
This means the range of variable x must be values of x greater than or equal to 1.
Domain = [1, )