Answer:
The answer is 8.1 h
Good luck!!!!!
Step-by-step explanation:
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)
Answer:
y = 5
Step-by-step explanation:
Step 1: Write equation
-(4y + 2) - (-3y - 6) = -1
Step 2: Solve for <em>y</em>
- Distribute: -4y - 2 + 3y + 6 = -1
- Combine like terms: -y + 4 = -1
- Subtract 4 on both sides: -y = -5
- Divide both sides by -1: y = 5
Step 3: Check
<em>Plug in y to verify it's a solution.</em>
-(4(5) + 2) - (-3(5) - 6) = -1
-(20 + 2) - (-15 - 6) = -1
-22 - (-21) = -1
-22 + 21 = -1
-1 = -1
Answer:
5 + 3.5h = 29.50
Step-by-step explanation:
The flat fee means that you will be paid the money with no change to it.
So you will not multiply it.
3.5h means that you are adding 3.50 every hour according to the question
So summary:
5+3.5h = 29.50
Evaluation:
5+3.5h = 29.50
24.50 = 3.5h
h = 7
Sofia worked 7 hours
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-Chetan K
Answer:
The price after a 30% discount would be 0.3p and the price after a 70% discount would be 0.7p.
Step-by-step explanation:
When you turn the percentages into decimals, 30% will be changed into 0.3, and when you change 70% into a decimal, it would be 0.7 (Move the decimal at the end two spaces over to the right like this: 70.% -> 7.0 -> 0.7)