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erma4kov [3.2K]
3 years ago
9

The solutions of x² = 16x - 28 are 1) -2 and -14 2) 2 and 14 3) -4 and -7 4) 4 and 7

Mathematics
1 answer:
Allisa [31]3 years ago
6 0
2 and 14
hope this helps
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Noah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would Noah use to make 3 1/6 recipes? Write you
saul85 [17]

Answer:

1 7/12 cups

Step-by-step explanation:

1/2 x 3 1/6  =  1/2 x 19/6  =  19/12 or 1 7/12

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Are computers better than a straight edge and compass
serious [3.7K]

Answer:

Yes

Step-by-step explanation:

They are exact and you can't mess up or accidentally slide the compass or straightedge around. This is just my opinion though.

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3 years ago
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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
The target temperature for a laboratory is 72° Fahrenheit. It
myrzilka [38]

The inequality |t - 72| ≤ 2 represents the target temperature for a laboratory is 72° Fahrenheit, and it can vary by up to 2° option (D) is correct.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

The question is incomplete.

The complete question is in the picture, please find the attached picture.

We have:

The target temperature for a laboratory is 72° Fahrenheit. It can vary by up to 2°.

Target temperature = 72 degree Fahrenheit

It can vary by up to 2°. (the highest limit)

The temperature in the laboratory represented by t

Now,

inequality represents this situation is:

|t - 72| ≤ 2

Thus, the inequality |t - 72| ≤ 2 represents the target temperature for a laboratory is 72° Fahrenheit, and it can vary by up to 2° option (D) is correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

6 0
1 year ago
Help pls I need answers ASAP
pishuonlain [190]

\tt Step-by-step~explanation:

To be able to solve this question, we need to know about the Pythagorean theorem: a² + b² = c². A and b represents the two sides that make the right angle, and C represents the hypotenuse, or the longest side, of the triangle.

\tt Step~1:

We know that the hypotenuse is the longest side of the triangle, so that means 9 is c. One side of the triangle is 6, and we have to solve for b. That means 6 is a. We can plug in our values to the formula like this:

\tt a^2+b^2=c^2\\6^2+b+2=9^2\\36+b^2=81

\tt Step~2:

Now that we have our equation down, we know what we have to do next: subtract 81 from 36 to get b².

\tt 81-36=\sqrt{45}

\Large\boxed{\tt Our~final~answer:~b=\sqrt{45} ~(simplified:3\sqrt{5}) }

7 0
3 years ago
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