The work is incorrect.
(-6) multiplies both terms inside parentheses. For some reason, the student changed the sign of that multiplier for the second term. The second term of the result should have a positive sign, the result of multiplying (-6)(-2/13) = +12/13.
Answer: 1. Yellow, green, black, white, blue, red. yes equally likely
2. heads, tails. yes equally likely
3. possibilites: yellow heads, yellow tails, green heads, green tails, black heads, black tails, white heads, white tails, blue heads, blue tails, red heads, red tails.
4. 1/12
5. still 1/12
Step-by-step explanation:
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
Suppose there are n observations in a data set consisting of the observations x1, x2, x3, ..., xn.
Rounding rule: round to one more decimal place than the highest number of decimal places contained in the data.
The formula can also be represented as sigma * xi / n.
x bar = SAMPLE MEAN
Mu = POPULATION MEAN
n= sample size
N= POPULATION SIZE
The sum of the deviations from the mean is always equal to 0.
The mean will always be pulled towards any outliers.
Ex: the average price of similar televisions at different stores. This is quantitative data that does not have outliers since the TVs at the different stores are similar
