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3 years ago

Cynthia wants to buy a round photo frame for

Mathematics

1 answer:

Marina CMI [18]3 years ago

7 0

Answer:

Step-by-step explanation:

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The lengths of 3-inch nails manufactured on a machine are normally distributed with a mean of 3.0 inches and a standard deviatio

otez555 [7]

Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It 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, which is the percentile of X.

In this problem:

The mean is of 3 inches, hence $\mu = 3$ .

The standard deviation is of 0.009 inches, hence $\sigma = 0.009$ .

Nails that are more than 0.02 inches from the mean are unusable, hence:

$Z = \frac{0.02}{\sigma}$

$Z = \frac{0.02}{0.009}$

$Z = 2.22$

The proportion is P(|Z| > 2.22), which is 2 multiplied by the p-value of Z = -2.22.

Z = -2.22 has a p-value of 0.0132.

2 x 0.0132 = 0.0264

0.0264 x 100% = 2.64%

2.64% of all the nails produced by this machine are unusable.

You can learn more about the normal distribution at brainly.com/question/24663213

7 0

3 years ago

In circle L with m^KLM 54 and KL= 10 units, find the length of arc KM.

qwelly [4]

Given:

In circle L, measure of angle KLM is 54 degrees and KL = 10 units.

To find:

The length of arc KM.

Solution:

The formula for arc length is:

$s=2\pi r\times \dfrac{\theta}{360^\circ}$ ...(i)

Where, r is the radius of the circle and $\theta$ is the central angle in degrees.

The measure of KL is 10 units, it means the radius of the circle L is 10 units.

The measure of angle KLM is 54 degrees, it means the measure of central angle on arc KM is 54 degrees.

Putting $\pi=3.14, r=10,\theta=54^\circ$ in (i), we get

$s=2(3.14)(10)\times \dfrac{54^\circ}{360^\circ}$

$s=20(3.14)\times 0.15$

$s=9.42$

Therefore, the length of arc KM is 9.42 units.

3 0

3 years ago

Which expression can be used to find the zeros of the function f(x) = 4x2 + 2x - 12?

satela [25.4K]

Answer:

x=-2 and x=-12

(-12,-2)

8 0

3 years ago

6=2(y+2) what is y No one else can help me thare all wrong

Monica [59]

Steps to solve:

6 = 2(y + 2)

~Distribute

6 = (2 * y) + (2 * 2)

~Simplify

6 = 2y + 4

~Subtract 4 to both sides

6 - 4 = 2y + 4 - 4

~Simplify

2 = 2y

~Divide 2 to both sides

2/2 = 2y/2

~SImplify

1 = y

Best of Luck!

7 0

4 years ago

Please help me out with this here is a screen shot

Flura [38]

Corresponding sides of similar triangles are in same proportion.

7 0

2 years ago