Answer:
The distance between Key's house and the amusement park is 1150 miles.
Step-by-step explanation:
In order to solve this question we can attribute a variable to the distance between Key's house and the amusement park, this variable will be called 'x'. Since this distance, that we want to know, is 100 times greater than the distance between James's house and the library that is 11.5 miles we can express it by the following equation:
x = 100*11.5 = 1150 miles
Answer:
f(x) = (x+4)^2 / 2
Step-by-step explanation:
To make a horizontal shift to the left 4 units, we just need to substitute the value of x for 'x+4', then we will have:
f(x) = (x+4)^2
Then, to make a vertical shrink of 1/2, we just need to multiply the function (the new function after being shifted horizontally to the left) by 1/2, then we will have:
f(x) = (x+4)^2 / 2
If it is a square, subtract (90+ whatever the other angle is) from 360. If it is a triangle than add 90 plus whatever other number the other angle is then subtract it from 180. A triangle is 180 degrees, and a square is 360 degrees.
Answer:
We would expect about 95 of the 100 confidence intervals to contain the proportion of all citizens of the United States who are optimistic about the economy.
Step-by-step explanation:
The purpose of sampling is to make statistical inference the entire population of interest. Thus, we generalized to the entire population the findings from the sample.
For instance, we don't need to drink entire cup of coffee to know whether the sugar is enough or not. We only need to stir (randomly) and take a sip from the cup of coffee. We usually assume that, if the content we sipped is satisfactory to our taste, the entire content of coffee inside the cup is satisfactory. Using this illustration, we would expect that the findings of the survey should be generalized to the entire population of study.
Thus, <em>we would expect about 95 of the 100 confidence intervals to contain the proportion of all citizens of the United States who are optimistic about the economy</em>.