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Nostrana [21]
3 years ago
5

The diameters of ball bearings are distributed normally. The mean diameter is 130 millimeters and the variance is 9. Find the pr

obability that the diameter of a selected bearing is greater than 135 millimeters. Round your answer to four decimal places.
Mathematics
1 answer:
Crank3 years ago
8 0

Answer:

0.0478

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 135 mm

μ is the population mean = 130 mm

σ is the population standard deviation.

We are given variance = 9

Standard deviation = √variance = √9 = 3

Hence

z = 135 - 130/3

z = 1.66667

Probability value from Z-Table:

P(x<135) = 0.95221

P(x>135) = 1 - P(x<135) = 0.04779

Approximately to 4decimal places = 0.0478

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2 years ago
The equation x+53=15 can be solved by performing two operations on both sides.
Wewaii [24]
Hey!


You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.

First, let's write out our equation.

<span><em>Original Equation :</em>
</span>x + 53 = 15

Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.

<em>Original Equation :</em>
x + 53 = 15

<em>New Equation {Added Subtract 53 to Both Sides} :</em>
x + 53 - 53 = 15 - 53

Now we have to solve the equation. Let's do the left side first.

<em>Left Side of the Equation :</em>
x + 53 - 53 

<em>Left Side of the Equation {Solved} :</em>
x

Now, we'll solve the right side of the equation.

<em>Right Side of the Equation :</em>
15 - 53

<em>Right Side of the Equation {Solved} :</em>
-38

Now we can put both solutions to both sides of the equation together.

<em>New Equation :</em>
x = -38

Since this cannot be simplified any farther, this is our final answer. And that's it!

<em>So, now we know that in the equation x + 53 = 15,</em>  x = -38

Hope this helps!


- Lindsey Frazier ♥
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3 years ago
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To figure out the average of all of the scores, you add all of the numbers together and then divide by how many numbers there are. The average shows about how well they did. Anne's friends average was 90 and was higher than Joan's friends average which was 75. Then the lowest score was definitely 78. So the answer would be B and C.

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Answer:

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Step-by-step explanation:

hyo^2=opp^2+adj^2

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x^2=36+100

x^2=136

x=

\sqrt{136}

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