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2 years ago

Raj paints 10 3/7 feet of his fence on Friday and 15 1/3 feet of his fence on Saturday.

Mathematics

1 answer:

Ierofanga [76]2 years ago

5 0

Answer: 25 16/21 feet

Step-by-step explanation:

10 3/7 + 15 1/3 = 25 16/21

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7x +4 (-4 x+7 ) =118

anzhelika [568]

First, you would do the parentheses which is multiply 4 to -4x to 7 which leave you with the equation 7x-16+28=118. Then you combine the like terms which gives you 7x+12=118. After that you subtract the number 12 to 118 which the next you divide so the answer is 15.14285714285714 and so on which can be simplified to 15.14 or 15.1

4 0

2 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat

____ [38]

Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that $\mu = 5.11, \sigma = 0.07$

Bottom 9%:

The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.

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

$-1.34 = \frac{X - 5.11}{0.07}$

$X - 5.11 = -1.34*0.07$

$X = 5.02$

The diameter that separates the bottom 9% is 5.02 millimeters.

Top 9%:

The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.

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

$1.34 = \frac{X - 5.11}{0.07}$

$X - 5.11 = 1.34*0.07$

$X = 5.2$

The diameter that separates the top 9% is 5.2 millimeters.

6 0

2 years ago

Please help thank you!

kirill [66]

Question 1:

Look at the image.

First, we graph the points on a grid.

Then, we find the perpendicular bisectors and find where they intersect.

They intersect on the circumcenter of the triangle.

The circumcenter is (5,3)

Question 2:

The answer is III only because the perpendicular bisector for the longest side will always have to point outside the triangle in order to intersect with the other two perpendicular bisectors.

Question 3:

The answer is a perpendicular bisector because it is a perpendicular line that bisects a side of the triangles, which is the exact definition of a perpendicular bisector.

Have an awesome day! :)