Answer:p2+2p−24
Step-by-step explanation:(p+6)(p−4)
=(p+6)(p+−4)
=(p)(p)+(p)(−4)+(6)(p)+(6)(−4)
=p2−4p+6p−24
=p2+2p−24
The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
<h3>How to determine the image of point B?</h3>
The complete question is added as an attachment
From the attached image, we have the following coordinate
B = (-2, 4)
When the triangle is rotated by 270 degrees, the rule of rotation is:
(x, y) ⇒ (y, -x)
For point B, we have:
B' = (4, 2)
Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
Read more about rotation at:
brainly.com/question/7437053
#SPJ1
Answer: 5.7 slices
Step-by-step explanation:
7x=40. x represents number of slices per day, 7 is because you eat pizza every day and there's 7 days in a week.
Divide both sides by 7:
7x/7 = 40/7
x= 5.7
Answer:
0.0064
0.00032
Step-by-step explanation:
Given the details:
P(X > 3), n = 5, p = 0.2
The binomial distribution is related using the formula:
P(x = x) = nCx * p^x * q^(n-x)
q = 1 - p = 1 - 0.2 = 0.8
P(X > 3) = p(x = 4) + p(x = 5)
P(x = 4) = 5C4 * 0.2^4 * 0.8^1 = 5 * 0.2^4 * 0.8^1 = 0.0064
P(x = 5) = 5C5 * 0.2^5 * 0.8^0 = 1 * 0.2^5 * 0.8^0 = 0.00032