Answer:
138 pairs
Step-by-step explanation:
The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:
(eq1)
The number of gray non-pleated is twice the number of blue non-pleated slacks, so:
(eq2)
The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:
(eq3)
(eq4)
If we add (eq1) and (eq2), we have:
(eq5)
Using (eq3) and (eq4) in (eq5), we have:
From (eq1), we have:
From (eq3), we have:
Answer: a) 0.8413, b) 0.9987.
Step-by-step explanation:
Since we have given that
Mean = 3 pounds
Standard deviation = 0.25 pounds
n = 28 bricks
So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?
b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?
Hence, a) 0.8413, b) 0.9987.
Answer:
Step-by-step explanation:
AB=-4-(-6)=2
DC=-4-(-6)=2
BC=-2-(-4)=2
AD=-2-(-4)=2
Perimeter=4*2=8 units
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
