Answer:
z = 1.5
Step-by-step explanation:
x - mean
standard score = -----------------
6
Substituting 74 for x, 65 for mean, we get:
74 - 65
standard score = ----------------- = 9/6 = 1.5
6
The pertinent z-score (standard score) is 1.5.
Answer:
- 3. line y=x
- 4. 10 units to the right and 4 units up
Step-by-step explanation:
In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.
_____
You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.
After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.
Answer:
1616 g
Step-by-step explanation:
V = πr²h
V = 3.14159 × (3.5 cm)² × 14 cm
V = 538.78 cm³
mass = density × volume
mass = 3 g / cm³ × 538.78 cm³
mass = 1616 g
This is the way I got it the answer is v= 45