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earnstyle [38]
3 years ago
11

The equation for the line of best fit for a data set is y = 2x + 1.5. If the point (1, 4) is in the data set, what is the residu

al of 1?
Mathematics
2 answers:
sdas [7]3 years ago
7 0

Answer:

The residual of 1 is 0.5.

Step-by-step explanation:

The given function is

y=2x+1.5

Substitute x=1 in the given equation of line, to find the expected or estimated value of the function at x=1.

y=2(1)+1.5

y=3.5

The point (1, 4) is in the data set. It means the actual value of the function is 4 at x=1.

The formula to calculate the residual is

Residual = Observed value - Estimated value

The residual of 1 is

Residual=4-3.5=0.5

Therefore the residual of 1 is 0.5.

Andreas93 [3]3 years ago
5 0
A. 0.5 well at least that's the answer in ingenuity.<span />
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Find the surface area of the composite figure.
ELEN [110]

Answer:

644cm^2

Step-by-step explanation:

First we'll work out the surface area of the pink figure.

That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.

However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.

The above works out to 2\times(30+100+120)-72=428 cm^2.

Then we'll work out the surface area of the purple figure.

This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.

That's 2\times(24+48)+72=216cm^2.

So the total surface area is 428+216=644cm^2.

6 0
1 year ago
SIMPLE SEVENTH GRADE MATH PROBLEM. GOVING BRAINLIEST
adelina 88 [10]

Answer:

D is the answer

Step-by-step explanation:

Well 35 dollar one time fee

plus 15 per hour

If used 1 hour 15+35=50

5 0
3 years ago
Read 2 more answers
Assume that you assign the following subjective probabilities for your final grade in your econometrics course (the standard GPA
rodikova [14]

Answer:

E(X) = 4*0.2 +3*0.5+ 2*0.2 +1*0.8+ 0*0.02= 2.78

So then the best answer for this case would be:

C. 2.78

Step-by-step explanation:

For this case we have the following probabability distribution function given:

Score         P(X)

A= 4.0       0.2

B= 3.0       0.5

C= 2.0       0.2

D= 1.0        0.08

F= 0.0       0.02

______________

Total          1.00

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

If we use the definition of expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And if we replace the values that we have we got:

E(X) = 4*0.2 +3*0.5+ 2*0.2 +1*0.8+ 0*0.02= 2.78

So then the best answer for this case would be:

C. 2.78

3 0
3 years ago
What is the difference (2 x - 3) - (x - 1)?<br> x minus 4<br> x minus 2<br> x + 2<br> x + 4
kupik [55]

Answer:

x - 2

Step-by-step explanation:

2x - x = x

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5 0
2 years ago
Read 2 more answers
Sarah saved $12.75 every week for a number of weeks, w. She received an additional $25 during the last week in which she saved m
Umnica [9.8K]

Answer:

12.75w + 25 = 114.25

w = 7

Step-by-step explanation:

since sarah is receiving 12.75 each week for a number of weeks, w (we don't know its value yet)  we know that first part of the equation: that 12.75 is the coefficient next to w. Then we have the extra 25, so we know that adding 12.75w and 25 would give us sarah's total amount, which is 114.25.

to find out what w represents, we have to solve for it. solving for w means isolating it on one side. so, what we can do first is subtract 25 from both sides. that would then make the equation:

12.75w = 89.25

now, we have only one step left to isolating w, and that's to get 12.75 on the other side somehow. since we're multiplying 12.75 with w, and we're applying additive inverse properties, meaning the opposite of what is happening to cancel it out on the side it's in, we would divide 12.75 on both sides. in the left, 12.75 would cancel out, and in the right, we would divide 89.25 by 12.75. the quotient is 7.

now there's nothing left to take out to isolate w, so we have:

w = 7

sarah saved up for 7 weeks.


3 0
3 years ago
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