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Ann [662]
3 years ago
7

The sum of the measures of two complementary angles is 90degrees. If one angle measures 30degrees more than 3 times the measure

of its​ complement, find the measures of the two angles.
Mathematics
1 answer:
sashaice [31]3 years ago
6 0

Answer:

s

Step-by-step explanation:

sadwdw

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The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 28 mm and standard d
Misha Larkins [42]

Answer:

14.69% probability that defect length is at most 20 mm

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 28, \sigma = 7.6

What is the probability that defect length is at most 20 mm

This is the pvalue of Z when X = 20. So

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

Z = \frac{20 - 28}{7.6}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

14.69% probability that defect length is at most 20 mm

5 0
4 years ago
Accountants at the Tucson​ firm, Larry​ Youdelman, CPAs, believed that several traveling executives were submitting unusually hi
77julia77 [94]

Answer:

a) Y= 90 +46.50(5) +0.35 (340) =441.50

b) The accountant should not question the voucher as the request is much higher than expected.

c) We can add the following variables

d) The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Step-by-step explanation:

Part a

For this case we have the multiple regression model given by:

Y= 90 +46.50 x_1 +0.35 x_2

Where x_1 represent the number of days on the road and x_2 the distance traveled in miles.

And we want to find the expected amount from a 340​-mile trip that took her out of town for 5 ​days, so we just need to replace x1= 5 and x2=340 and we got:

Y= 90 +46.50(5) +0.35 (340) =441.50

Part b

The expected value taking in count that x1 = 5 and y = 340 is:

Y= 90 +46.50(55) +0.35 (340) =441.50

And the difference from the obtained value is : 685-441.50=243.5

So then the correct answer would be:

The accountant should not question the voucher as the request is much higher than expected.

Part c

We can add the following variables

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Part d

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The coefficient of determination "is a measure used in statistical analysis that assesses how well a model explains and predicts future outcomes. It is indicative of the level of explained variability in the data set".

The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

6 0
3 years ago
HELP PLEASE ASAP!!!!
Sphinxa [80]

Answer:

4.2

Step-by-step explanation:

its asymmetrical

8 0
3 years ago
Read 2 more answers
Adam makes $632 gross income per week and has claimed four allowances. according to the table below, what is adam’s net income a
galina1969 [7]

Adam's net income after a tax withholding will be 533 dollars. Then the correct option is B.

<h3>What is subtraction?</h3>

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

Adam makes $632 gross income per week and has claimed four allowances.

The weekly withholding is 99 dollars.

Adam's net income after a tax withholding will be

⇒ $632 - $99

⇒ $533

More about the subtraction link is given below.

brainly.com/question/4319655

4 0
2 years ago
Christopher writes the mixed number as a sum and uses the distributive property.
Zepler [3.9K]

Answer:

dunno do you know the answr??

Step-by-step explanation:


5 0
3 years ago
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