Answer:
-4
Step-by-step explanation:
8+4y= -8
4y= -8 -8
4y= -16
divide both sides by the coeffient of the variable. in this case divide both sides by 4
y=-4
Answer:
x = 6
Step-by-step explanation:
3x + 4 = 5x - 8
==> add 8 to both sides
in doing so we get 3x + 4 + 8 = 5x - 8 + 8
the -8 and the +8 cancels out and 4 + 8 = 12
we are left with 3x + 12 = 5x
==> subtract 3x from both sides
in doing so we get 3x - 3x + 12 = 5x - 3x
the 3x and -3x cancel out and 5x - 3x = 2x
we are left with 12 = 2x
==> divide both sides by 2
in doing so we get 12/2 which equals 6 and 2x/2x which leaves us with
6 = x
Answer:
$82 sundaes
$74 banana split
Step-by-step explanation:
Step one :
Given data
Cost of sundaes =$2 each
Cost of banana split =$3 each
Let the number of sundaes bought be x
And the number of banana split bought be y
The total is x+y
The shop sold 8 more Sundaes than the Banana split
x=8+y—-------1
Total amount made = $156
Therefore the system of equation for the situation is
x=8+y----—----------1
2x+3y=156---------2
But x=8+y
8+y+y=156
8+2y=156
2y=156-8
2y=148
Divide both sides by 2
y=148/2
y=74
On That day they sold $74 banana split
And also they sold x=8+74=$82 sundaes
The confidence interval is based on
mean square error. T<span>he </span>mean squared error<span> (</span>MSE<span>) </span><span>of an </span>estimator<span> measures the </span>average<span> of the squares of the </span>errors<span> or </span>deviations.<span> MSE is calculated by the formula attached in the picture, where Xbar is a vector of predictions, X is the vector of predicted values. </span>
