You have to jusitfy the step that leads from sin (x) = a/c and cos(x) = b/c to sin^2 (x) + cos^2(x) = [a^2 / c^2] + [b^2 / c^2].
As you can see go from the first statement to the second by substituting the value of sin(x) by a/x and the value of cos(x) by b/c.
Then, the answer is the option b. substitution property of equality.
Answer:
well if you cuanculated i think it might be 157.5
Step-by-step explanation:
Answer:
the second quadrant.
Step-by-step explanation:
Answer:
23 or more chairs.
Step-by-step explanation:
There are 5 tables to start. Each tables is 450 dollars.
5x450=2250
4500-2250=2250
2250(money still need to be made) divided by 100(the price of a chair)=22.5
Since you can't have a half of a chair but you cant have any less, you round it up to 23 chairs. The answer is 23 or more chairs.
Answer:
You're pretty sure that your candidate for class president has about 55% of the votes in the entire school. but you're worried that only 100 students will show up to vote. how often will the underdog (the one with 45% support) win? to find out, you set up a simulation.
a. describe-how-you-will-simulate a component.
b. describe-how-you-will-simulate a trial.
c. describe-the-response-variable
Step-by-step explanation:
Part A:
A component is one voter's voting. An outcome is a vote in favor of our candidate.
Since there are 100 voters, we can stimulate the component by using two random digits from 00 - 99, where the digits 00 - 64 represents a vote for our candidate and the digits 65 - 99 represents a vote for the under dog.
Part B:
A trial is 100 votes. We can stimulate the trial by randomly picking 100 two-digits numbers from 00 - 99.
And counted how many people voted for each candidate. Whoever gets the majority of the votes wins the trial.
Part C:
The response variable is whether the underdog wins or not.
To calculate the experimental probability, divide the number of trials in which the simulated underdog wins by the total number of trials.
