Answer:
0.0004158
0.00041581
Step-by-step explanation:
Given that :
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Probability of answering 8 or more questions correctly ;
Direct sum:
P(x ≥ 8) = p(8) + p(9) + p(10)
P(≥ 8) = 0.00038624 + 0.00002861 + 0.00000095
= 0.0004158
Complement :
P(x ≥ 8) = 1 - p(x ≤ 7)
1 - [p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)]
1 - [0.00308990 + 0.01622200 + 0.05839920 + 0.14599800 + 0.25028229 + 0.28156757 + 0.18771172 + 0.05631351]
1 - 0.99958419
= 0.00041581
Answer:
This is a reflection about the x-axis.
Step-by-step explanation:
A reflection about the x-axis has the rule
[x,y]-> [x,-y].
Therefore
M[x,y] = [x,-y}
Let M=
|a b|
|c d|
Then the matrix multiplication gives
ax+by=x.............(1)
cx+dy=-y............(2)
Solving the previous equations (1) and (2) gives
a=1, b=0
c=0, d=-1
giving M as
|1 0|
|0 -1|
Answer:
The value of y is 14.
Step-by-step explanation:
Given,
Length of AB = 
Length of BC = 
Length of CD =
Since ABCD is an isosceles trapezoid then according to property of trapezoid which is given below;
"In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length."
So Length of AB = Length of CD

Hence the value of y is 14.
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