Answer:
FOR CONNEXUS UNIT 3 LESSON 1 SOLVING SYSTEMS BY GRAPHING 1. C 2. A 3. A 4. A
Step-by-step explanation:
In this we need to approximate definite integral by midpoint formula.
According to this formula if we have to calculate
then we will divide the interval [a,b] into n subinterval of equal width.
Δx =
So we will denote each of interval as follows
where
Then for each interval we will calculate midpoint.
So we can calculate definite integral as
where
are midpoint of each interval.
So in given question we need to calculate
. So we will divide our interval in 6 equal parts.
Given interval is [1,2]
So we will denote 6 interval as follows
Now midpoint of each interval is
So
for the given function is
So
Answer:
15 dollars
Step-by-step explanation:
Total Bill = Cost of the Meal + tip
Total Bill = 100 + 15/100 * 100
Total Bill = 115
So the tip is 15 dollars.
Answer: <span>This is an example of correlation but not causation.
Explanation:
The statement "when more apples grew in the backyard, the pet cat stayed indoors for a longer time" is an excellent example to explain the difference between causation and correlation.
Is the very fact that the apples grew in the backyard what makes the pet cat stay indoors longer?
Sure, you know it isn't. Sure there is another cause that influence both the growing of apples and the time the pet cats stay indoor. So, there is not a causality relationship.
Given that some fact is influencing both phenomena, you find that they behave in a way that one permits predict the other, which is what correlation indicates, but not that one is the cause of the other.
When you know the cause you might change the final behavior, but when you know that the variables are correlated you just can use one to predict the other.
In this example, if you see that more apples grow in the backyard you can predict that the cat pets will stay indoors for a longer time, but you can do nothing to modify the time the pet cats stay indoors because you do not the reason why they are doing that.
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In the diagram, P1P2 and Q1Q2 are the perpendicular bisectors of AB and BC, respectively. A1A2 and B1B2 are the angle bisectors of ∠A and ∠B, respectively <span>the center of the circumscribed circle of ΔABC is P </span><span>because both perpendicular bisectors go through the center
where they cross must be the center.</span><span>
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