The answer to the question is
5.133*10^8
Answer: 10773
Step-by-step explanation:
.75^10=0.0563
look at 8, 9, 10
8 the probability is 10C8*0.75^8*0.25^2=0.2816
9 the probability is 0.1877 using the same approach
At least 8 is 0.5256
At most 4 is
0 .25^10=essentially 0
1: 10C1*0.75*0.25^9=<0.0001
2: 45*0.75^2*0.25^8=0.0004
3: 120*0.75^3*0.25^7=0.0031
4: 10C4*0.75^4*0.25^6=0.0162
That sum is 0.0197
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
The measures of the angles are sin(x) = -5/√41, cos(x) = 4/√41, sec(x) = √41/4, csc(x) = -√41/5 and cot(x) = -4/5
<h3>How to determine the value of sin and cosine?</h3>
The tangent of the angle is given as:
tan(x) = -5/4
The hypotenuse is calculated as:
Hypotenuse = sqrt([(-5)^2 + (4)^2)
Evaluate the squares
Hypotenuse = ±√41
Given that sin(x) < 0, then
Hypotenuse = √41
The sin is calculated as:
sin(x) = -5/Hypotenuse
So, we have:
sin(x) = -5/√41
The cos is calculated as:
cos(x) = 4/Hypotenuse
So, we have:
cos(x) = 4/√41
The values of the reciprocal ratios are
sec(x) = √41/4
csc(x) = -√41/5
cot(x) = -4/5
Hence, the measures of the angles are sin(x) = -5/√41, cos(x) = 4/√41, sec(x) = √41/4, csc(x) = -√41/5 and cot(x) = -4/5
Read more about trigonometry ratio at:
brainly.com/question/24349828
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