Rita does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least
11 hours. She spends at most 7 hours on weight training. She spends at most 8 hours doing cardiovascular work. Let y denote the time (in hours) that Rita spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of y and y that satisfy these requirements
1 answer:
The attached graph represents the inequality of the weekly exercise program
<h3>How to determine the inequality?</h3>The given parameters are:
- x represents cardiovascular work.
- y represents weight training
The inequality at least is represented using ≥ and at most means ≤
This means that:
x + y ≥ 11
x ≤ 8
y ≤ 7
Next, we plot the graph (see attachment)
Read more about inequalities at:
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Answer:
Step-by-step explanation:
Given : A market research worker interviewed a random sample of 18 people about their use of a certain product.
The results, in terms of Yes (Y) or No (N) are as follows:
Y-N-N-Y-Y-Y-N-Y-N-Y-Y-Y-N-Y-N-Y-Y-N.
The number of people said "Yes" for the product= 11
Then, the sample proportion for the users of the product =
We know that the sample proportion is the best estimate for the population proportion.
Thus the point estimate for population proportion :
The expression that is not a variation of the Pythagorean identity is the third option.
<h3>What is the Pythagorean identity?</h3>The Pythagorean identity can be written as:
For example, if we subtract cos^2(x) on both sides we get the second option:
Which is a variation.
Now, let's divide both sides by cos^2(x).
Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.
Concluding, the correct option is the third one.
If you want to learn more about the Pythagorean identity, you can read: