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Rainbow [258]
3 years ago
7

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 108.7-cm and a standard dev

iation of 0.6-cm. For shipment, 22 steel rods are bundled together.
Find the probability that the average length of rods in a randomly selected bundle of steel rods is less than 109.1-cm.


Round to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.
Mathematics
1 answer:
Luden [163]3 years ago
3 0

Let x be the lengths of the steel rods and X ~ N (108.7, 0.6)

To get the probability of less than 109.1 cm, the solution is computed by:


z (109.1) = (X-mean)/standard dev

= 109.1 – 108/ 0.6

= 1.1/0.6

=1.83333, look this up in the z table.


P(x < 109.1) = P(z < 1.8333) = 0.97 or 97%

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So here is what you would do:

lets just pretend that there is no x in the equation

so this is what the equation would look like:

first, is 4 to the power of 2=16 and now we are going to put the x back into the equation so: 4x to the power of 2, but we did the exponents so, now x is the missing number. We can use the 32 because it is the solution to the equation. So we would do 32-16=16 so the missing number is 16 so x=16

Answer: x=16

4 0
2 years ago
What is the ultimate goal when solving equations? What do you want your final answer to look like?
STALIN [3.7K]

Answer:

\huge\boxed{\text{To get x on one side of the equation:} \ \ x = ...}

Step-by-step explanation:

When we solve for an equation, our goal is to find the value of the variable. Any variable can be used, but for the time being let’s assume we use x.

We can algebraeically solve equations until we get the value of x - in which we will have x equal to something.

Say we have the equation 5x+5=20. Our goal is to find the value of x. <u>We can do this by getting x isolated on one side so we have something equal to x</u>.

We can subtract 5 from both sides and divide both sides by 5.

5x=15\\\\x=3

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Hope this helped!

5 0
2 years ago
What Does (0,0) represent
deff fn [24]
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3 years ago
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Can some one really help me please!!!! :(((
GREYUIT [131]

Answer:

for the first on its a=24 and for the second its a= 48

Step-by-step explanation:

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7 0
2 years ago
LCM of x&lt;sup&gt;2&lt;/sup&gt;+5x+6 and x&lt;sup&gt;2&lt;/sup&gt;-x-6 is ………………………
sergejj [24]

Answer:

(x^2 - 9)(x + 2)

Step-by-step explanation:

Given:

x^2 + 5x + 6

x^2 - x - 6

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

x^2 + 5x + 6

x^2 + 3x + 2x + 6

(x^2 + 3x) + (2x + 6)

x(x + 3) + 2(x + 3)

(x + 2)(x + 3)

x^2 - x - 6

x^2 - 3x +2x - 6

x(x - 3) + 2(x - 3)

(x + 2)(x - 3)

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

x^2 + 5x + 6 = (x + 2)(x + 3)

x^2 - x - 6 = (x + 2)(x - 3)

The common factors would be: =>

(x + 2) (this is common in both polynomials, so we would take just one of them as a factor.

(x + 3) and,

(x - 3)

Their product = (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2)

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3 years ago
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