Explain how you could mentally find 8×45 by using the distributive property
1 answer:
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Answer:
Yes. There is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average
Step-by-step explanation:
Given the following;
#We set our hypothesis as:
The rejection region of either hypothesis:
, we determine the critical values for this probability in the T distribution table;
=>We reject for all values greater than 1.833, t>1.833.
#We now determine the value of the test statistic as:
We find that:
Hence, there is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average.
There are two interpretations we could go for:
- Adding 4 to the end means we add 4 to each y coordinate (since y = x). This <u>shifts the entire line 4 units up</u>
- Replacing x with x+4 means the xy axis is shifted 4 units to the right. If the line y = x is held completely still while the axis moves, then it gives the illusion the line is moving <u>4 units to the left</u>
Check out the diagram below.
Point A on the red line y = x has two locations it could end up. If we follow method 1, then point A shifts upward to point B. Do this to every point on the red line and the entire red line shifts up 4 units.
Or if you decide to shift 4 units to the left (method 2), then point A moves to point C's location. Doing this to every point on the red line shifts the entire line 4 units to the left.
