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2 years ago

PLEASE ANSWER THIS AS FAST AS POSSIBLE!

Mathematics

1 answer:

Sonja [21]2 years ago

3 0

Between Steps 1 and 2, the student added 6x to the left hand side, but subtracted 6x from the right hand side.

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The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .

Misha Larkins [42]

Answer:

0.1507 or 15.07%.

Step-by-step explanation:

We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.

First of all, we will find z-scores for data points using z-score formula.

$z=\frac{x-\mu}{\sigma}$ , where,

z = z-score,

x = Sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

$z=\frac{21.97-22}{0.016}$

$z=\frac{-0.03}{0.016}$

$z=-0.1875$

Let us find z-score of data point 22.03.

$z=\frac{22.03-22}{0.016}$

$z=\frac{0.03}{0.016}$

$z=0.1875$

Using probability formula $P(a$ , we will get:

$P(-0.1875$

Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.

6 0

4 years ago

I need help with this problem. <br>

Zina [86]

Answer:

(1,4)

Step-by-step explanation:

Let's this of $y=\sqrt{x}$ which is it's parent function.

How do we get to $y=-\sqrt{x-1}+4$ from there?

It has been reflected about the a-axis because of the - in front of the square root.

It has been shifted right 1 unit because of the -(1) in the square root.

It has been moved up 4 units because of the +4 outside the square root.

In general:

$y=a(x-h)^2+k$ has the following transformations from the parent:

Moved right h units if h is positive.

Moved left h units if h is negative.

Moved up k units if k is positive.

Moved down k units if k is negative.

If $a$ is positive, it has not been reflected.

If $a$ is negative, it has been reflected about the x-axis.

$a$ also tells us about the stretching factor.

The parent function has a starting point at (0,0). Where does this point move on the new graph?

It new graphed was the parent function but reflected over x-axis and shifted right 1 unit and moved up 4 units.

So the new starting point is (0+1,0+4)=(1,4).

6 0

3 years ago

Read 2 more answers

From 3 hours to 30 minutes Percentage

omeli [17]

What are u asking ? 30 minutes of 3 hrs the fraction would be 2/6 simplified would be 1/3 and the percentage would be 33.3 repeating percent

7 0

3 years ago

Read 2 more answers

Translate the following phrase into an algebraic expression. Use the

marissa [1.9K]

Answer:

8+n/3

Step-by-step explanation:

$\frac{8+n}{3}$

8 0

4 years ago

The liter is the basic unit of weight in the metirc system?

Ivanshal [37]

False. The liter is the basic unit of volume in the metric system. The basic unit of weight is the kilogram.

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4 years ago