Hey there!
150 = 8x + 6y
↠ 150 = 8x + 6(9)
↠ 8x + 6(9) = 150
↠ 8x + 54 = 150
SUBTRACT 54 to BOTH SIDES
8x + 54 - 54 = 150 - 54
CANCEL out: 54 - 54 because that gives you 0
KEEP: 150 - 54 because helps solve for x
↣150 - 54 = 96↢
NEW EQUATION: 8x = 96
DIVIDE 8 to BOTH SIDES
8x/8 = 96/8
CANCEL out: 8/8 because that gives you 1
KEEP: 96/8 because that gives the value of x
96/8 = x
x = 12
Answer: x = 12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.
Step-by-step explanation:
We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.
A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.
Let p = probability of voters preferring the incumbent = 66%
n = number of voters polled = 500
<u>So, the mean of the number preferring the incumbent is given by;</u>
Mean =
=
= 330 voters
<u>And, standard deviation of the number preferring the incumbent is given by;</u>
Variance =
=
= 112.2
So, Standard deviation =
=
= 10.59
Answer:25,000 in 2 years at annual compound interest, if the rates for the successive years be 4% and 5% per annum respectively is: (1) Rs. 30,000 (2) Rs. 26,800 fa) Rs.
A=P[1+
100
r
]
n
⇒ A=Rs.25,000×(
100
106
)
3
⇒ 25,000×
50
53
×
50
53
×
50
53
⇒ A=Rs.29,775.40
⇒ CI=A−P
⇒ Rs.29,775.40−Rs.25,000
∴ CompoundInterest=Rs.4775.40.
Answer:
2
Step-by-step explanation:
Answer:
x = 27
Step-by-step explanation:
Given
= 3
Multiply both sides by 9 to clear the fraction
x = 9 × 3 = 27