Answer:
The ordered pair is not a solution as both sides of the equation do not equal each other.
Step-by-step explanation:
(3,2); x + 6y = 13
(3) + 6(2) = 13
3 + 12 = 13
15 = 13
6a-(n-1)(3a) is the nth term
Expanding we get 6a-3an+3a=9a-3an=3a(3-n)
SOLUTION: nth term is 3a(3-n)
Answer:
0.75 = 375/100
Step-by-step explanation:
375/100 = 3.75 and there is no 3 as the whole number.
Answer:
Option D is correct.
Step-by-step explanation:
f(x)= 9x^2 -12
Let y = 9x^2 - 12
Switch places of x and y and solve for y
x = 9y^2 - 12
Adding 12 on both sides
x + 12 = 9y^2
Dividing both sides by 9
x+12/9 = y^2
=> Taking square root on both sides
=> 
Replace y with g(x)
Option D is correct.
Answer:
Step-by-step explanation:
n = 10
Mean, m = (32 + 24 + 30 + 34 + 28 + 23 + 31 + 33 + 27 + 25)/10
= 28.7
From the information given,
Standard deviation, s = 1.8
For a confidence level of 95%, the corresponding z value is 1.96.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
28.7 ± 1.96 × 1.8/√10
= 28.7 ± 1.12
The lower end of the confidence interval is 28.7 - 1.12 = 27.58 years
The upper end of the confidence interval is 28.7 + 1.12 = 29.82 years
