Answer:
V = 150.72 yd³
Step-by-step explanation:
To find the volume, we will need to use the formula
To find the base, we will need to use the volume of a circle, which is .
If the diameter is 8, the radius is half which is equivalent to 4. Put this into the equation:
A = π4²
A = 16π ≈ 50.24.
Now, use this in the Volume of a Pyramid formula:
V = 1/3 (50.24 ·9)
V = 150.72 yd³
Answer:
the approximate probability that the total weight of the passengers exceeds 4668 pounds is 0.0089
Step-by-step explanation:
Using the central limit Theorem
z = (x - u )/Q÷ sqrt n
Where z is the z-score
x is the average weight = 4668/22 = 212.2
u is the passengers average = 194 pounds
Q is standard deviation = 36 pounds
Therefore
z= (212.2 - 194) / 36 ÷ sqrt22
= 18.2/ 36÷ 4.69
= 18.2/7.68
z=2.3698 aprx 2.37
Find the value of 2.37 z-score on the z-table to determine the approximate probability
P(z>2.37) = 0.0089 (from the z-table)
Answer: $12
Step-by-step explanation: 840 divided by 70 is $12
Answer:
JM = 7
Step-by-step explanation:
Triangles LMN and LJK are similar, so corresponding sides have teh same ratio:
LM/MN = LJ/JK
14/(JM+3) = (14 +JM)/15
210 = (JM +3)(JM +14) . . . . . multiply by 15(JM +3)
JM² +17JM -168 = 0 . . . . . . . subtract 210; put in standard form
(JM +24)(JM -7) = 0 . . . . . . factor
The values for JM that make this true are 7 and -24. The length must be positive, so ...
JM = 7
take your compass on a point on your line. then draw a circle. take the 2 points in which the circle hit the line and draw 2 circles larger than half the distance between he 2 points. take the point that they intersect and and connect it to the line and you point M and it is purpendicular. does that make sense?