80x3/8=10 common factor. 10x5. And 10x3
50/30
30 boys
50 girls
<span>Mean = 270
Standard deviation = 10
x = 255
Formula for z-score, z = (x - mean)/SD
z = (255 - 270) / 10
=> z = -15 / 10 => z = -1.5
So by referring to z-table, -1.5 correlates to 0.0668 that implies to 0.07
So 7% of the boxes of Apples weight less than 255oz.
The percentage of boxes is in the range of 255 oz and 270 oz,
Now calculating the requiring percentage 50% - 7% = 43%</span>
First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
Answer:
the CORRECT answers for this are B,D,E.
Step-by-step explanation:
just did it <3.
Answer: 100 - 24x
Step-by-step explanation:
The formula for calculating the perimeter of a square is given by :
P = 4l , where l is the length of the side.
Perimeter of square A will be
P = 4 ( 2x - 7 )
P = 8x - 28
Perimeter of square B will be ;
P = 4 ( -4x + 18 )
P = - 16x + 72
Perimeter of square B - Perimeter of square A implies
-16x + 72 - ( 8x - 28 )
-16x + 72 - 8x + 28
collecting the like terms
-16x - 8x + 72 + 28
-24x + 100
⇒ 100 - 24x
