Answer:
z * sigma+u = x
Step-by-step explanation:
z = (x-u)/ sigma
z is the z score, u is the mean, sigma is the standard deviation
We need to solve for x
Multiply each side by sigma
z * sigma = (x-u)/ sigma * sigma
z * sigma = x-u
Add u to each side
z * sigma+u = x-u+u
z * sigma+u = x
Answer:
1. x = 2
2. x = 4
Step-by-step explanation:
1. 6 - 4x = 6x -8x + 2
6 - 4x = -2x + 2
+4x +4x
6 = 2x + 2
-2 -2
4 = 2x
/2 /2
2 = x
2.
6 - 6x = 5x -9x -2
6 - 6x = -4x -2
+6x +6x
6 = 2x -2
+2 +2
8 = 2x
/2 /2
4 = x
(f°g)(x)=12x-10
(g°f)(x)= 12x-7
Hope this helps
Answer:
1/4 of a pound
Step-by-step explanation:
Blueberries are 4 dollars a pound you have 1 dollar
you can by 1/4 of a pound
Answer:
110.5 yd²
Step-by-step explanation:
Separate the figure into 1 triangle and 3 rectangles.
(see attached image)
<u>Area 1</u>
Area of a triangle = 1/2 × base × height
= 1/2 × (7 + 2 + 2) × 7
= 1/2 × 11 × 7
= 38.5 yd²
<u>Area 2</u>
Area of a rectangle = width × length
= 3 × (5 + 2 + 2)
= 3 × 9
= 27 yd²
<u>Area 3</u>
Area of a rectangle = width × length
= 5 × (5 + 2)
= 5 × 7
= 35 yd²
<u>Area 4</u>
Area of a rectangle = width × length
= 2 × 5
= 10 yd²
<u>Total Area</u>
Area 1 + Area 2 + Area 3 + Area 2 = 38.5 + 27 + 35 + 10
= 110.5 yd²