Answer:
m<M = 113 deg
m<N = 61 deg
Step-by-step explanation:
In an inscribed quadrilateral, opposite angles are supplementary.
m<M + m<K = 180
m<N + m<L = 180
m<M + 67 = 180
m<M = 113
m<N + 119 = 180
m<N = 61
this is the answer is -10 not sure tho
Answer:
Step-by-step explanation:
Mean = (87 + 105 + 130 + 160 + 180 + 195 + 135 + 145 + 213 + 105 + 145 + 151 152 + 136 + 87 + 99 + 92 + 119 + 129)/19 = 129
Variance = (summation(x - mean)²/n
Standard deviation = √(summation(x - mean)²/n
n = 19
Variance = [(87 - 129)^2 + (105 - 129)^2 + (130 - 129)^2+ (160 - 129)^2 + (180 - 129)^2 + (195 - 129)^2 + (135 - 129)^2 + (145 - 129)^2 + (213 - 129)^2 + (105 - 129)^2 + (145 - 129)^2 + (151 - 129)^2 + (152 - 129)^2 + (136 - 129)^2 + (87 - 129)^2 + (99 - 129)^2 + (92 - 129)^2 + (119 - 129)^2 + (129 - 129)^2]/19 = 23634/19 1243.895 min
Standard deviation = √1243.895 = 35.269 min
60 minutes = 1 hour
Converting the variance to hours,
Each division would have been divided by 60². 60² can be factorized out
Variance = 23634/60² = 6.565 hours
Converting the standard deviation to hours, it becomes
√6.565 = 2.562 hours
Answer:
Step-by-step explanation:
Answer:
D. $680
Step By Step Explanation:
100 pages are typed. Each page coast $5 to type.
100 x 5 = 500
40 pages are revised once. It costs $3 to revise a page once.
40 x 3 = 120
10 pages are revised twice. It costs $3 to revise a page once so it will cost $6 to revise it twice
10 x 6 = 60
To find the total cost we add all the amounts together
500 + 120 + 60 = 680
The final answer is $680
