Answer:
The random variable is continuous. The possible values are a greater than 0.
Step-by-step explanation:
We have to identify if "Square Footage of a house" is a discrete variable or a random variable. For this first we need to understand the difference between both type of variables.
Discrete Variable:
A discrete variable can only take specific value e.g. number of people in a hotel which can take only whole number values like 15, 43, 155 etc. A discrete variable is counted. Examples are: Number of people, number of books etc
Continuous Variable:
A continuous variable can take all the values within its specific range. For example, weight of a person. Weight can take any value greater than 0. Weight can be in decimals, can be in integers. A continuous variable is always measured.
The given variable: "Square Footage of a house" can take any value greater than 0, there is no limit to it. "Square Footage of a house" is always measured.
Based on this we can conclude that "Square Footage of a house" is a Continuous variable and can take all values greater than 0.
Answer:
A sample of 5 women, a sample of 20 women, a sample of 45 women, a sample of 60 women
Step-by-step explanation:
I hop this helps
9514 1404 393
Answer:
(b) -36
Step-by-step explanation:
Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)
This table shows the remainder, which is f(-2), is -36.
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The equation itself can be rewritten in "Horner form" to facilitate evaluation.
f(x) = (((-x +2)x -1)x +4)x +8
In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.
f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8
= (((4)(-2) -1)(-2) +4)(-2) +8
= ((-9)(-2) +4)(-2) +8
= (22)(-2) +8
= -36
f(-2) = -36 . . . . remainder from synthetic substitution
First, find the nth term
To do this, find the term to term difference...
A
-7 and 3 = 10
3 and 13 = 10
13 and 23 = 10
As the difference is 10, we now write out the 10 times table
10, 20, 30, 40
The next step is to work out how to get from the sequence to the 10x table
B
-7 - 10 = -17
3 - 20 = -17
13 - 30 = -17
23 - 40 = -17
Now use the answer from each section in the general formula
x = An + B
This could also be written as ?n + ?
Using our numbers, this becomes 10n - 17
Now use the formula to work out the 110th term
(10 x 110) - 17
1100 - 17 = 1083