Answer:

Step-by-step explanation:
×
← cancel the 27 and 16, 32 by 16
= 
Just do each number to they square root
Answer:
m=−57/92,x=−43/4
Step-by-step explanation:
So the volume of this prism is equal area of base time length
area of this equilateral triangle with a side of 4 so will be 4*h/2 = 2h
sin60 = h/4
sqrt3 /2 = h/4
4sqrt3 = 2h
h = 2sqrt3
area = 4*2sqrt3 /2 = 4sqrt3
area = 4sqrt3 unit squared
Volume = area time length
V = 4sqrt3 *6 = 24sqrt3 unit cubed
V = 24sqrt3 unit cubed
Answer:
0.74215
Step-by-step explanation:
Given: Mean= 0
Standard deviation= 1
Z= 0.65
First lets find the z score of 0.65 from the normal distribution table.
∴ The value from the table is 
Now using the formula for z-score to find x, which is the shaded region.
Z-score= 
⇒ 
Multiplying both side by 1
∴ 
Hence, the area of shaded region is 0.74215.