The answer you're looking for is -2
12 - 2×(n)= 8×4+(n)
12 - 2×(-2)=16
8×4+(-2)=16
Answer:
{7, -2}
Step-by-step explanation:
6x-7y=2
2x+3y= -10
multiply the second one by -3
6x-7y=2
-6x-9x=30
-16y=32
y= -2
2x - 6 = -10
2x= -4
x= -2
If we write the bigger number as x, and the smaller number as y, we can write it as simultaneous equations.
So, if the difference is 5, we can say that
x-y=5
And if five times the smaller number minus the greater number is 7, then we can write that as
5y-x=7
You can add these together to get 4y=12, and if we simplify, we get y=3.
We know that the difference is 5, so 3+5=8.
Therefore, Ethan's numbers are 3 and 8.
Answer:
1) 0.1504
2) 0.432
Step-by-step explanation:
1) The given information are;
The proportion of the morning appointments that are with elderly patients = 60%
The number of patients in the appointments = 10 patients
The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%
The binomial probability distribution is given as follows;
= 0.000105
= 0.0016
= 0.01062
= 0.0425
The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504
2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows
= 0.432
Answer:
Option B. m⁷/n² is the correct answer.
Step-by-step explanation:
Identity,
xᵃ * xᵇ = xᵃ⁺ᵇ
xᵃ/xᵇ = xᵃ⁻ᵇ
x⁻ᵃ = 1/xᵃ
It is given that,
m⁻⁶ n⁻³/m⁻¹³ n⁻¹
Using these three identities we can write,
m⁻⁶ n⁻³/m⁻¹³ n⁻¹ = m⁻⁶ m¹³/n⁻¹n³ (since x⁻ᵃ = 1/xᵃ)
m⁻⁶ m¹³/n⁻¹n³ =m⁽⁻⁶⁺¹³⁾/n⁽⁻¹⁺³⁾ = m⁷/n² (since xᵃ * xᵇ = xᵃ⁺ᵇ and xᵃ/xᵇ = xᵃ⁻ᵇ)
Therefore Option B. m⁷/n² is the correct answer