Rectangle. I hope this helps.
Answer:
x = √30 or -√30
Step-by-step explanation:
480 - 16x^2 = 0
divide both sides by 16
30 - x^2 = 0
-x^2 + 30 = 0
-x^2 = -30
X^2 = 30
x = ± √30
x = √30 or -√30
Answer:
Its Not C or B, tried em and got em wrong
Step-by-step explanation:
Let the steaks = X and the salmon = y.
Set up two equations:
15x + 18y = 559.81
19x + 9y = 583.66
Now using the elimination method:
Multiply the second equation by -2, then add the equations together.
(15x+18y=559.81)
−2(19x+9y=583.66)
Becomes:
15x+18y=559.81
−38x−18y=−1167.32
Add these equations to eliminate y:
−23x=−607.51
Divide both sides by -23 to solve for x:
x= -607.51 = -23 = 26.413478
Now you have the cost for a steak.
To solve for the cost of the salmon, replace x with the value in the first equation and solve for y.
15(26.413478) + 18y = 559.91
396.202174 + 18y = 559.81
Subtract 396.202174 from both sides:
18y = 163.607826
Divide both sides by 18:
y = 163.607826 / 18
y = 9.089324
Round both x and Y to the nearest cent:
X (Steaks) =$26.41
Y (Salmon) = $9.09
Answer:
a) M =82
Step-by-step explanation:
Let´s study this as a Normal distribution.
As we know in a normal distribution the z score is = (X-μ)/(sd/sqrt(n))
where
X = mean for the taken sample = What we want to know in this problem
μ = Total population mean =80
sd= standard deviation= 12
n = sample size=9
So in this case z=( X-80)/(12/sqr(9))= (X-80)/4
also we know that the effect size taken by the machine is 0.5, which is the same as the z-score
so...
0.5 = (X-80)/4 => 0.5*4 = X-80
2+80 = X
X = 82
