P(allergic) = 0.15
P(both are allergic to pollen) = (0.15)² = 0.0225 (you can use the binomial probability also)
Q(NOT allergic to pollen) = 1 - 0.0225 = 0.9775
Binomial probability
Probability of NEITHER is allergic
ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ
²C₀(0.15)⁰(0.9775)² = 0.9555
P(at LEAST ONE is allergic) = 1- 0.9555 = 0.0444
Answer:
(x, y) = (-3, -6)
Step-by-step explanation:
The second equation can be used to write an expression for y:
... -5x -21 = y . . . . . . . add y-21 to both sides
This expression can be substituted for y in the first equation:
... 6 = -4x +(-5x -21)
... 27 = -9x . . . . . add 21, collect terms
... -3 = x . . . . . . . divide by -9
Using this value of x in the expression for y, we find ...
... -5(-3) -21 = y = -6
The solution is x = -3, y = -6.
Answer:
r < -12 and r > -6
Step-by-step explanation:
Use the equation a^2 + b^2 = c^2.
225 + 1296 = c^2
1596 = c^2
Square root both
39 = c
Answer:
Apply BODMAS
Step-by-step explanation:
PLEASE FIND THE PICTURE BELLOW
SOLUTION STEPS
(4⋅2−10x−24)(2x+3)
Multiply 4 and 2 to get 8.
(8−10x−24)(2x+3)
Subtract 24 from 8 to get −16.
(−16−10x)(2x+3)
Apply the distributive property by multiplying each term of −16−10x by each term of 2x+3.
−32x−48−20x
2
−30x
Combine −32x and −30x to get −62x.
−62x−48−20x
2