Answer:D,E
Step-by-step explanation:
9/3=3
36=9×4
Answer:
a) 8*88*10⁻⁶ ( 0.00088 %)
b) 0.2137 (21.37%)
Step-by-step explanation:
if the test contains 25 questions and each questions is independent of the others, then the random variable X= answer "x" questions correctly , has a binomial probability distribution. Then
P(X=x)= n!/((n-x)!*x!)*p^x*(1-p)^(n-x)
where
n= total number of questions= 25
p= probability of getting a question right = 1/4
then
a) P(x=n) = p^n = (1/4)²⁵ = 8*88*10⁻⁶ ( 0.00088 %)
b) P(x<5)= F(5)
where F(x) is the cumulative binomial probability distribution- Then from tables
P(x<5)= F(5)= 0.2137 (21.37%)
Answer:
x ≈ - 9.41, x ≈ - 6.59
Step-by-step explanation:
Given
x² + 16x + 62 = 0 ( subtract 62 from both sides )
x² + 16x = - 62
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(8)x + 64 = - 62 + 64
(x + 8)² = 2 ( take the square root of both sides )
x + 8 = ±
( subtract 8 from both sides )
x = - 8 ± 
Hence
x = - 8 -
≈ - 9.41
x = - 8 +
≈ - 6.59
Answer:
2xy - 6x +2y
Step-by-step explanation:
12xy - 10xy = 2xy
5y - 3y = 2y
2xy - 6x + 2y
The two triangles will be similar (same shape, and each side of one triangle the same multiple of the corresponding side of the other triangle), but not necessarily the same size.
The key word here is "similar;" be sure you understand what that means in trig.