Answer:
x=3/2,1
Step-by-step explanation:Given
(3x-2)ˆ5-(3x-2)ˆ2=0
(3x-2)ˆ3(3x-2)ˆ2-(3x-2)ˆ2=0
(3x-2)ˆ2{(3x-2)ˆ3-1}=0
(3x-2)ˆ2=0 Or (3x-2)ˆ3-1=0
3x-2=0 Or(3x-2)ˆ3=1
x=3/2 Or 3x-2=1, x=1
Answer:
Step-by-step explanation:
You should use a ^ to indicate an exponent. x^2 is the same as x².
x² + 9x + 20
Replace the x with (-5).
(-5)² + 9(-5) + 20 = 25-45+20 = 0
Then do the same with x = (-3):
(-3)² + 9(-3) + 20 = 9 - 27 + 20 = 2
You can do x = (-6)
Answer: 1 cup of sugar; 2 and 1/4 cups of flour; and 1 and 1/2 cups of milk
Step-by-step explanation:
Or simplified; 1 cup of sugar; 9/4 cups of flour; and 3/2 cups of milk
explanation: (do everything times 3)
I recommend the app desmos for problems like this. the answer is 8.4
Answer:
A)0.86
B)0.99
C)6.047E-13
Step-by-step explanation:
Since p = 0.01 and q= 0.99
Number of event n = 15
Using binomial expansion
A) Probability (No samples are mutated) = 15C0 (p)^0 * (q)^15
= 1*(0.01)^0*(0.99)^15 = 0.86
B)Probability (At most one sample is mutated) = 15C0 * p^0 *q^15 + 15C1 * p^1 * q^14 = 1*(0.01)^0*(0.99)^15 + 15C1 * 0.01 * 0.99^14 = 0.86 + 15*0.01*0.8687 = 0.86 + 0.13 = 0.99
C) Probability (More than half the samples are mutated) = 15C8* 0.01^8 * 0.99^7 + 15C9* 0.01^9 * 0.99^6 +15C10* 0.01^10 *0.99^5 + 15C11 * 0.01^11 * 0.99^4 + 15C12 * 0.01^12 * 0.99^3 + 15C13 * 0.01^13 * 0.99^ 2 + 15C14 * 0.01^14 * 0.99^1 + 15C15 * 0.01^15 * 0.99^0
Probability (More than half the samples are mutated) = 6E-13 + 4.71E-15 + 2.86E-17 + 1.31E-19 + 4.41E-22 + 1.03E-24 + 1.49E-27 + 1E-30 = 6.047E-13
