Answer:
Part B: ![\displaystyle [1, 2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B1%2C%202%5D)
Part A: Set both equation equal to each other by Substitution, since our <em>y-values</em> are already given to us.
Step-by-step explanation:
6x - 4 = 5x - 3
- 6x + 3 - 6x + 3
____________
Plug this coordinate back into the above equations to get the <em>y-coordinate</em><em> </em>of 2.
<em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em> </em>[where<em> </em><em>b</em><em> </em>is the y-intercept and the rate of change (slope) is represented by <em>m</em>]
![\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%205x%20-%203%3B%20%5B0%2C%20-3%5D%3B%205%20%3D%20m%20%5C%5C%20y%20%3D%206x%20-%204%3B%20%5B0%2C%20-4%5D%3B%206%20%3D%20m)
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Answer:
27.8 Celsius
Step-by-step explanation:
The equation to convert Fahrenheit and Celsius is:
F = (9/5)C + 32
82 = (9/5)C + 32 -- subtract 32 from both sides
50 = (9/5)C -- multiply both sides by 5
250 = 9C -- divide by 9
27.777 = C
round up to 27.8 C
The expression is (15+6) */* 3. This is because we add up all the costs to get the total, and divide the total by three because there are three friends splitting the cost.
Answer:
5ft
Step-by-step explanation:
perimeter=l+l+w+w
l=12
p=24+2w
34-24=10
10/2=5
Answer:
69.14% probability that the diameter of a selected bearing is greater than 84 millimeters
Step-by-step explanation:
According to the Question,
Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.
- In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ
we have μ=87 , σ=6 & X=84
- Find the probability that the diameter of a selected bearing is greater than 84 millimeters
This is 1 subtracted by the p-value of Z when X = 84.
So, Z = (84-87)/6
Z = -3/6
Z = -0.5 has a p-value of 0.30854.
⇒1 - 0.30854 = 0.69146
- 0.69146 = 69.14% probability that the diameter of a selected bearing is greater than 84 millimeters.
Note- (The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X)
