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____ [38]
3 years ago
5

If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system? A. The line

s intersect at one point. B. The lines are parallel. C. The lines are the same line. D. The lines cannot be graphed.
Mathematics
1 answer:
Arturiano [62]3 years ago
5 0
I also had to do this. So I am pretty sure the answer should be A.

I think this because if there is linear lines do intersect but no linear no lines intersect. Very sorry if I’m wrong.
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A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: ŷ = 13
Lunna [17]

Answer:

y=6x +135

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

With these we can find the sums:

And the slope would be:

m=6

The means for x and y are given by:

\bar x= \frac{\sum x_i}{n}

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

For this case we know that the line adjusted is:

y=6x +135

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

3 0
3 years ago
A school psychologist is interested in determining if children with attention deficit disorder (ADD) learn better if English lit
boyakko [2]

Answer:

The answer is "Option a"

Step-by-step explanation:

The Rejecting or the null hypothesis is refused by the refuting were used when the significance for our data analysis is less than the cut-off points, for example, either 0.05 or 0.01, therefore reject the null accept the alternative hypothesis, that's why in this question, the first choice is correct.

7 0
3 years ago
The width of a rectangle is 13 inchs more than 5 times the length. if x represents the length, write an algebraic expression in
rjkz [21]

perimeter is 2L+2W

problem states width = 5L+13

so plug that in for w:

P=2L+2(5L+13)

 now simplify

P=2L+10L+26

P=12L+26

3 0
2 years ago
M1 Matrix is:
harkovskaia [24]

Answer:

(a)First Row, First Column =1

(b)First Row, second Column =0

(c)Second Row, First Column =0

(d)Second Row, second Column =1

Step-by-step explanation:

Given matrix M=\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)

The Inverse of a 2X2 matrix

A=\left(\begin{array}{ccc}a&b\\c&d\end{array}\right)

can be found using the following:

A^{-1}=\dfrac{1}{ad-bc} \left(\begin{array}{ccc}d&-b\\-c&a\end{array}\right)

Therefore:

M^{-1}=\dfrac{1}{(5*-5)-(3*-8)} \left(\begin{array}{ccc}5&-3\\8&-5\end{array}\right)\\=-1\left(\begin{array}{ccc}5&-3\\8&-5\end{array}\right)\\=\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)

Next, we find the product M^{-1}M

M^{-1}M=\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)\\=\left(\begin{array}{ccc}-5*-5+3*-8&-5*3+3*5\\-8*-5+5*-8&-8*3+5*5\end{array}\right)\\=\left(\begin{array}{ccc}1&0\\0&1\end{array}\right)

Therefore:

(a)First Row, First Column =1

(b)First Row, second Column =0

(c)Second Row, First Column =0

(d)Second Row, second Column =1

NOTE: The multiplication of a matrix and its inverse always gives the identity matrix as seen above,

7 0
3 years ago
Can some one solve these?!
ivolga24 [154]
All you need to solve these is a knowledge of the 3 main trigonometrical ratios.
I a right angled triangle where A is a non right angle:-

sin A = opposite / hypotenuse                         (hypotenuse is the sloping side)

cos A = adjacent / hyptenuse       ( the adjacent side is the one the angle 'sits' on)

tan A = opposite / adjacent   (  the opposite side is the one opposite the angle)

So to find the length of segment x in the first problem use

sin 61 = x / 50
 then
x  = 50*sin61  =  43.73 

and to find the length of y:-

cos 61 = y / 50
y = 60 cos 61 =  24.24

The other questions can be solved in a similar way.

7 0
3 years ago
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