A bakery asks 75 customers to vote for a new bagel flavor. Onion flavor receives 33 votes. Cheddar flavor receives 42 votes. Use
1 answer:
Using proportions, it is found that:
- The fraction that shows the proportion of customers who voted for cheddar flavor is
- 56% of customers voted for cheddar flavor.
- A proportion is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- A percentage is the <u>proportion multiplied by 100%</u>.
In this question, 42 out of 75 customers voted for the cheddar flavor, hence:
That is, the fraction that shows the proportion of customers who voted for cheddar flavor is
The percentage is:
56% of customers voted for cheddar flavor.
To learn more about proportions, you can take a look at brainly.com/question/24372153
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Answer:
maximum: y = 1
minimum: y = 0.
Step-by-step explanation:
Here we have the function:
y = f(x) = √(1 + x^2 - 2x)
we want to find the minimum and maximum in the segment [0, 1]
First, we evaluate in the endpoints, which are 0 and 1.
f(0) =√(1 + 0^2 - 2*0) = 1
f(1) = √(1 + 1^2 - 2*1) = 0
Now let's look at the critical points (the zeros of the first derivate)
To derivate our function, we can use the chain rule:
f(x) = h(g(x))
then
f'(x) = h'(g(x))*g(x)
Here we can define:
h(x) = √x
g(x) = 1 + x^2 - 2x
Then:
f(x) = h(g(x))
f'(x) = 1/2*( 1 + x^2 - 2x)*(2x - 2)
f'(x) = (1 + x^2 - 2x)*(x - 1)
f'(x) = x^3 - 3x^2 + x - 1
this function does not have any zero in the segment [0, 1] (you can look it in the image below)
Thus, the function does not have critical points in the segment.
Then the maximum and minimum are given by the endpoints.
The maximum is 1 (when x = 0)
the minimum is 0 (when x = 1)
