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3 years ago

How to solve it? what are the steps I have to take to solve it?

Mathematics

1 answer:

Yuliya22 [10]3 years ago

8 0

The two triangles are similar. The proportion of the two sides therefore are the same. So 6:5 is the same as 20:6+x. You can calculate the 6+x side based on this and the last step is to simply subtract 6 from the side.

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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

2 years ago

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

alukav5142 [94]

This is a part:part ratio. to solve it we need to convert it into a part:whole ratio. we do this by adding the parts. the ratio of pumpkin cans to total cans is 5:7. 140/7=20. 20x5=100. 20x2=40. The answer is B. 40 cans.

5 0

3 years ago

Convert to the given unit 35 mm = ____ cm

Marta_Voda [28]

35 mm = 3.5 cm.
1 mm = 0.1 cm

The distance d in centimeters (cm) is equal to the distance d in millimeters (mm) divided by 10:
d(cm) = d(mm) / 10

Source: https://www.rapidtables.com/convert/length/mm-to-cm.html

4 0

3 years ago

The heights of men in a survey are distributed normally about the mean.

Gre4nikov [31]

It should be 34inch okay

8 0

2 years ago

Read 2 more answers

Mathswatch? Help Angles and parallel lines

GrogVix [38]

The answer is

a) x° = 80

reasons) the reason is a line is 180°
the angle 100°
that would leave you 80° to make a straight line

i hope this helped :)

3 0

3 years ago