Answer:
32%
Step-by-step explanation:
Let x be the mean of the values and σ their standard deviation.
Since the minimum value of the diameter of the washers is 1.53 mm, then
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+
x + σ = 1.65 mm
2x = 3.18
x = 3.18/2
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
-
x + σ = 1.65 mm
-2σ = -0.12
σ = -0.12/-2
σ = 0.06 mm
Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%
There are 3 possible ways of mr shaw purchasing markers to equal a total of 27 without going over or under.
-2 packs of 10 and 7 singles
-1 pack of 10 and 17 singles
-27 singles
Answer:
B
Step-by-step explanation:
The first parenthesis is (y + 12) and the second parenthesis is ( - y - 12 ).
<u>These two has to be equal in order for her to combine terms and simplify further.</u>
<em><u>For them to be equal, she </u></em><em><u>SHOULD HAVE</u></em><em><u> factored out a -7 from the second group of factors so the term inside the 2nd parenthesis would have been ( - y - 12 ) thus making the factoring and simplification possible!</u></em>
From the answer choices, B is right.
Answer:
mean = 5+9+9+6+6+11+8+4/7 = 8.29
median = 6
mode = 6
range = 11 - 4 = 7
Volume of a sphere = (4/3) × π × r3 therefore the answer is 36 pie