Select the correct symbol. 3.9 × 104 ? 8.7 × 102
1 answer:
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Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean :
Standard deviation:
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x:
At x= 0.75,
Using standard normal table for z-value,
P-value :
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%
Answer:
(a) y = -4x + 4 (b) y = 2x + 3
<u>solving steps:</u>
note: m refers to slope and y₁ to y point and x₁ to x point
a)
coordinates: (2,-4)
slope: -4
equation:
- y - y₁ = m(x - x₁)
- y - -4 = -4(x-2)
- y = -4x + 8 - 4
- y = - 4x + 4
b)
coordinates: (1,5), (-1,1)
slope:
- 2
equation:
- y - y₁ = m(x - x₁)
- y - 5 = 2(x - 1)
- y - 5 = 2x - 2
- y = 2x - 2 + 5
- y = 2x + 3