Answer: (x,y)=(-22/69 , 2/23)
Y=6x+2
3x+12y=6x+2
Simplify the expression
-6x+y=2
-3x+12y=2
Multiply both sides of the equation by
-6x+y=2
6x-24y=-4
eliminate at least one variable by adding the equation
-23y=-2
Divide both sides
y=2/23
Substitute the value of y
-6x +2/23 =2
Solve the equation
x=-22/69
The possible solution of the system is the ordered pair
(x,y)=(-22/69, 2/23)
Check the solution
2/23=3x(-22/69)+12x 2/23=6x(-22/69)+2
Simplify
2/23=2/23=2/23
The ordered pair is a solution
Solution
(x,y)=(-22/69 , 2/23)
Answer:
1/16
Step-by-step explanation:
Since he has a fourth of a pie and he is splitting it into 4 that would make 16 pieces of the whole pie and they are each getting 1/16
Answer:
56
Step-by-step explanation:
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : μ ≥ 402
H1 : μ < 402
Test statistic :
n = 23
Sample Mean, x = 400
Variance = 900
σ = sqrt(900) = 30
Test statistic = (x - μ) ÷ σ/sqrt(n)
Test statistic = (400 - 402) ÷ 30/sqrt(23)
Test statistic = - 2 / 6.2554324
Test statistic = - 0.3197221
Test statistic = - 0.3197
Critical value :
Using the Tcritical value calculator
Tcrit; α = 0.025, df = n - 1 = 23 - 1 = 22
Tcritical = 2.074
Reject Null : if Test statistic ≤ Tcritical (left tail test)
Since ;
Test statistic ≤ Tcritical ; We reject the Null
Answer:
30 x 24 = 720
720 / 2 = 360
<u>360 inches squared</u>
