For binomial distribute we use formula
the probability mass function of the binomial distribution is:
Given n = 12 and π = .6. (Replace the values)
the probability for x = 5, we need to find P(x=5). Here r= 5
P(x=5)= 
= 
= 0.10090 = 0.101
(b) the probability for x ≤ 5
P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)
P(x<=5) = 
+ 
+ 
+ 
+ 
+
= 0.15821229 = 0.158
(c) find the probability for x ≥ 6
P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)
P(x>=6) = 
+ 
+ 
+ 
+ 
+ 
+ 
= 0.8417877 = 0.0842 (rounded to 3 decimal places)
The image of the transformation of the ordered pair is (-2,-6)
<h3>How to determine the image?</h3>
The ordered pair is given as:
(1, -3)
The transformation is given as:
D₂ o Ry-axis
This means a dilation by a scale factor of 2 and then a reflection across the y-axis.
The image of the dilation is:
(x,y) = 2 * (1,-3)
(x,y) = (2,-6)
The rule of reflection across the y-axis is
(x,y) = (-x,y)
So, we have:
(x,y) = (-2,-6)
Hence, the image of the transformation is (-2,-6)
Read more about transformation at:
brainly.com/question/4289712
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Answer:
Step-by-step explanation:
Answer:
33 ft²
Step-by-step explanation:
The area of the outdoor carpet = area of trapezoid + area of rectangle + area of triangle
✔️Area of trapezoid = ½(a + b)h
Where,
a = 6 ft
b = 3 ft
h = 11 - 9 = 2 ft
Area of trapezoid = ½(6 + 3)*2 = 9 ft²
✔️Area of rectangle = L*W = 7 *3 = 21 ft²
✔️Area of triangle = ½bh
b = 2 ft
h = 3 ft
Area = ½*2*3 = 3 ft²
✅Area of the outdoor carpet = 9 + 21 + 3 = 33 ft²
Answer:
D
Step-by-step explanation:
Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!
