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earnstyle [38]
3 years ago
12

A line of best fit predicts that when x equals 30, y will equal 34.215, but y actually equals 32. What is the residual in this c

ase?
A. -2.215
B. 2.215
C. 4.215
D. -4.215
Mathematics
1 answer:
Katarina [22]3 years ago
4 0

Answer: A. - 2.215

Step-by-step explanation:

• A residual is the difference between the actual value and the predicted value in a regression model. It represents the vertical distance from the actual point to the point on the regression line.

\text{Residual=Actual value of y -predicted value of y}\\\\\Rightarrow\text{Residual}=32-34.215\\\\\Rightarrow\text{Residual}=-2.215

Hence, the residual in this case = -2.215

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One angle of a right triangle measures 60°. The side opposite this angle measures 15 inches.
Delicious77 [7]

Step-by-step explanation:

To solve this question I would use the sin rule.

The sin rule states that

\frac{a}{ \sin(a) }  =  \frac{b}{ \sin(b)  }

Therefore if you substitute in your numbers you get:

\frac{a}{ \sin(90) }  =  \frac{15}{ \sin(60) }

If you rearrange that you get:

a =  \frac{15}{ \sin(60) }  \times  \sin(90)

Therefore a = 17.3 Inches (to 3 sf)

This can also be done with basic trigonometry where you would get

\sin(60)  =  \frac{15}{h}

Rearranging to

h =  \frac{15}{ \sin(60) }

meaning the answer is 13.7 inches

6 0
4 years ago
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Can you figure thus out?
babymother [125]

Answer:

315

Step-by-step explanation:

The number is divisible by 3,5,7 and 9. Since 3 is a factor of 9, this number is divisible by 5,7, and 9.

5x7x9= 315.

3 0
2 years ago
In a year-long music course, you are required to attend 12 concerts. Last season, the lengths of the concerts were 92, 101, 98,
lianna [129]
Hello!

The five-number summary is the lowest number, highest number, median, quartile 1 and quartile 3

First you should order the numbers from least to greatest.

65, 78, 80, 90, 92, 92, 98, 101,106, 112, 116, 119

The lowest number is 65

The highest number is 119

Next you can find the median

The median is the number in the middle

The two numbers in the middle are 92 and 98

Since there are two numbers you take the average

92 + 98 = 190

190/2 = 95

The median is 95

Now we know the answer is either A or B

Next you can find the lower quartile

The lower quartile is the median of the numbers under the median

So we list all the numbers under 95

65, 78, 80, 90, 92, 92

The numbers in the middle are 80 and 90

The average between these two is 85

So the lower quartile is 85

From this we know the answer is B

The answer is B

Hope this helps!
3 0
4 years ago
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lianna [129]
Let the number be x; 

(2/3)x=-6 
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2x=-18 
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Therefore, the number is -9. 

Hope I helped :) 
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3 years ago
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What is the answer 3 3/10- 2 23/100
guapka [62]

Answer:

1 7/100

Step-by-step explanation:

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