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3 years ago

On a map,1 inch equals 10 miles. Two cities are 8 inches on the map. What is the actual distance between the cites?

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

Answer:

if 1 in= 10 miles, then, 8 in= 80 miles

Step-by-step explanation:

Trava [24]3 years ago

8 0

If 1 inch equals 10 miles, 8 needs to be multiplied by 10.

8 × 10 = 80

<h2>Answer:</h2>

<u>The actual distance between the cities is </u><u>80 miles</u><u>.</u>

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Ainat [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

What does a residual value of 1. 3 mean when referring to the line of best fit of a data set? A data point is 1. 3 units above t

Darina [25.2K]

You can use the fact that a residual value is obtained by subtracting the prediction by the line of best fit from the actual data value we have.

The residual value 1.3 when referring to the line of best fit of a data set means:

Option B: A data point is 1.3 units below the line of best fit

<h3>What is a residual value and how is it calculated?</h3>

First of all, this whole story starts with data. We get data and we try to fit a line which can best imitate the way data is lying on the coordinate plane.

Remember that on a 2d coordinate cartesian plane, we have (x,y) called as point on plane and x is abscissa and y is called ordinate.

Let the best fit line be denoted by y = mx + c (assuming we're working with 2d data) with slope m and y-intercept c.

Now, this line is used to predict where can the next data point may lie.

When this best fit line is used to predict already present data point, we get the error that best fit line made when predicting the real data.

This is measured by "residual value"

For data point with ordinate b, we suppose get prediction as y

Then we have the residual value as y - b.

Remember, the prediction is before the real data point's ordinate.

<h3>How to know what does 1.3 residual value mean?</h3>

Let the real value be b and the predicted value be y from which this residual was calculated.

Then we have:

y - b = 1.3

y = 1.3 + b

Thus, we see that prediction is bigger than the real data point's y-ordinate. Since y axis has increasing value as we go higher and higher vertically, thus this prediction value's ordinate is higher than that of real value's ordinate.

The prediction, since shows the height of best fit line on that input point, thus we have:

Option B: A data point is 1.3 units below the line of best fit.

Learn more about line of best fit here:

brainly.com/question/2396661

8 0

2 years ago

Grandma Gertrude gave 13 pieces of jewelry and grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly amo

Papessa [141]

Answer:

$x=\frac{13+y}{5}$

Step-by-step explanation:

Grandma Gertrude gives 13 and Fien gives y.

$x=13+y$

The total amount of jewelry divided evenly between the 5 sisters:

$x=\frac{13+y}{5}$

Nothing further can be done without knowing another value.

4 0

3 years ago

Help!!Need help please help me

irina [24]

8x-6y=-96 add to this -4 times the second equation...
-8x-12y=-48
___________

-18y=-144

y=8, this makes 8x-6y=-96 become:

8x-48=-96

8x=-48

x=-6

so the solution to the system of equations is the point:

(-6,8)

3 0

3 years ago

On three examinations, you have grades of 85, 78, and 84. There is still a final examination, which counts as one grade In order

Greeley [361]

Answer:

It's not possible to earn an A in the course
I must have a 73 or MORE to earn a B in the course

Step-by-step explanation:

The average obtained at the end of the course will be:

$\frac{85+78+84+x}{4} = av$

Where x is the grade obtained in the final examination and av is the final average. To obtain an A, av has to be at least 90, av≥90, and to obtain an B, av has to be at least 80, av≥80

Is an A in the course possible?

So, if we get 100 on the final average:

x = 100,

av = (85+78+84+100)/4 = 86,75 and 86,75∠90.

<em>Answer: No, the higher grade obtained would be 86,75.</em>

What grade you must have in the final to earn a B in the course

To earn a B, av≥80:

$av= \frac{85+78+84+x}{4 \ }\geq 80\\ \frac{247+x}{4}\geq80 \\247+x\geq 80*4\\ x\geq 320-247\\ x\geq 73$

<em>Answer: I must have a 73 or MORE to earn a B in the course</em>

6 0

3 years ago