The z-score is a measure of how many standard deviations the value is from the mean. A z-score of 1.5 means that the value is 1.5 standard deviations above the mean.
<span>1.5 x 2.4 = 3.6 </span>
<span>54 + 3.6 = 57.6 </span>
<span>Answer: </span>
<span>57.6 in </span>
<span>The formula is: </span>
<span>x = zσ + μ </span>
<span>z : z-score (1.5) </span>
<span>σ : standard deviation (2.4) </span>
<span>μ : mean (54) </span>
<span>Answer: </span>
<span>x = 57.6</span>
Eliminate one of the variables..
2x + 2y = 28
2x = -2y + 28
8x - 2y= 22
8x = 2y + 22
x = 0.25y + 2.75
combine equations...
-y +14 = 0.25y + 2.75
solve for the variable..
-y - 0.25y = 2.75 - 14
-1.25y = -11.25
y = 9
replace y with 9 in previous equation..
x = -y + 14
x = -9 + 14
x = 5
so y = 9 and x = 5
I hope I did that right good luck!
Answer:
If x=8 then the equation is equal to 33
If 1/2(x)^2-1/4x=3=8 then x=-2.98 and x=3.35
Step-by-step explanation:
Given:
1/2x^2-1/4x+3
Two solutions possible:
If x=8 then 1/2(8)^2-1/4(8)+3=32-2=3=33
If 1/2(x)^2-1/4x+3=8 then .5x^2-.25x-5=0
factoring:
(.707x+2.11)(.707x-2.37)=0
.707x=-2.11 and .707x=2.37
x=-2.98 and x=3.35 rounded to 2 places
