Based on the given information, we can determine the characteristics of the polygon MNOP.
1. MN || OP and NO || PM:
- This means that the opposite sides MN and OP are parallel, and the opposite sides NO and PM are also parallel.
2. m/M = 93°, m/N = 87°, m/O = 93°, m/P = 87°:
- These angle measurements indicate that the opposite angles M and O are congruent, as well as the opposite angles N and P.
Based on these characteristics, we can conclude that the polygon MNOP is a parallelogram. A parallelogram is a quadrilateral with opposite sides that are parallel. In addition, opposite angles of a parallelogram are congruent.
However, we cannot determine from the given information whether the polygon MNOP is specifically a rectangle, rhombus, square, or trapezoid. These classifications require additional information, such as side lengths or angle measures, to be determined.
Therefore, the correct answers are:
- Parallelogram
- Quadrilateral
Please note that rectangle, rhombus, square, and trapezoid cannot be confirmed based on the given information.
Answer:
The mean of the total repair time is 150 minutes.
The variance of the total repair time is 725 minutes^2.
Step-by-step explanation:
To solve this problem, we have to use the properties of the mean and the variance. Our random variable is the sum of 3 normal variables.
In the case, for the mean, we have that the mean of the sum of 3 normal variables is equal to the sum of the mean of the 3 variables:
For the variance, we apply the property for the sum of independent variables (the correlation between the variables is 0):
The correct answer should be B: y = -3x + 2.
Since the line crosses the y axis at 2, your y-intercept should be 2. Using rise over run you can compare the equations to the graph. If you convert 3x to a fraction, it would be 3/1x. Since the line is going down 3 and the rise of the y = -3x + 2 is -3, that part is correct. The line also moves over 1 unit, so the run is 1, therefore the correct slope would be -3 or -3/1. Now if you combine what you have it should be y = -3x - 2, which is the same equation as B.
Answer:
a. 248.14
b. 220.576
Step-by-step explanation:
The weighted mean can be calculated as
Xbarw= sumwx/sumw
where x are the observations and w are the weights of the observations.
a.
x w wx
248.13 3 744.39
248.06 1 248.06
248.18 2 496.36
248.15 3 744.45
sumwx=744.39+248.06+496.36+744.45=2233.26
sumw=3+1+2+3=9
Xbarw= sumwx/sumw
Xbarw= 2233.26/9
Xbarw= 248.14
The weighted mean for line BC is 248.14.
b.
x w wx
248.13 1 248.13
248.06 1 248.06
248.18 3 744.54
248.15 3 744.45
sumwx=248.13+248.06+744.54+744.45=1985.18
sumw=3+1+2+3=9
Xbarw= sumwx/sumw
Xbarw= 1985.18/9
Xbarw= 220.576
The weighted mean for line BC is 220.576.
The weighted mean of line BC for the first given weights is 248.13. The weighted mean for the revised weights is 248.14.
The weighted mean of a set of values is calculated by multiplying each value by its weight, summing those products, and then dividing the sum by the total of the weights. So we will first multiply each distance by its corresponding weight then add them all up and divide it by the sum of weights. Let's calculate.
#SPJ3
a. 34.04
b. 34
c. 34.037
d. 34.0
Answer:
My answer to the question is 34.0
Answer: No
Step-by-step explanation: