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4 years ago

Which of the following correlation coefficients expresses the weakest degree of relationship between two variables?

Mathematics

1 answer:

Montano1993 [528]4 years ago

6 0

The correlation coefficient between the variables are always between +1 and -1

If the correlation coefficient is near to +1 the degree of relationship between variables is strongly positively correlated. And if the correlation coefficient is near to -1 the degree of relationship between variables is strongly negatively correlated.

Hence at the extremes +1 and -1, there is a strong degree of relationship between two variables

Near to 0 (the middle of the range), there is a weak degree of relationship between two variables

So, the answer would the value the is nearest to 0 since we want a weak relationship

The value that is nearest to 0 is a) 0.10

So, the answer is a)0.10

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Factorise t^3+t^2+t+1

Furkat [3]

Answer:

(t+1)(t^2+1)

Step-by-step explanation:

t^3+t^2+t+1

(t+1)(t^2+1)

8 0

3 years ago

1. The equation of the locus of a point which is always equidistant from the points (a + b, a - b) and (a - b, a + b) is a) x -

valina [46]

Answer:

c). y + x = 0

Step-by-step explanation:

The locus is a line perpendicular to the line connecting the 2 points and passing through the centre of the line.

The mid-point of the line connecting the given points is:

(a + b + a - b)/2 , (a - b + a + b) / 2

= (a, a)

It's slope = (a + b)- (a - b) / (a - b)- (a + b)

= 2b/ -2b

= -1

So the slope of the line we want is -1/(-1) = 1.

Using the point-slope form of a line:

y - y1 = m(x - x1)

y - a = 1(x - a)

y - a = x - a

x + y = 0

8 0

2 years ago

Find the volume of wood used to make a closed box of outer dimensions 60 cm × 45 cm × 32 cm, the thickness of wood being 2.5 cm

kati45 [8]

The dimension of the rectangular box is 60cm x 45cm x 32cm. The dimension of the wood used has the thickness of 2.5 cm all around the rectangular box. In order to get the volume of the wood, subtract each side of the rectangular box by 2.5.

Volume = 57.5 cm x 52.5cm x 29.5cm
Volume = 89053.1252 cm^3

8 0

3 years ago

Inequalities Exam

Igoryamba

Answer:

t > 8

Step-by-step explanation:

Given that :

Initial volume = 16 litres

Addition rate = 4 litres per minute

Target volume > 48 litres

Let number of minute for which water is added to achieve these = t

Mathematically,

Initial volume + (addition rate * t) > target volume

16 + 4t > 48

Collect like terms

4t > 48 - 16

4t > 32

Divide both sides by 4

4t/4 > 32/4

t > 8

Laura will need add water at 4 Litre per minute rate for more than 8 minutes

3 0

3 years ago

Calculate $1200 ÷ 415.00 = answer in weeks. Round your answer up to the nearest whole week.

Lisa [10]

Answer:

3 weeks

Step-by-step explanation:

$\frac{1200}{415}\\\mathrm{Write\:the\:problem\:in\:long\:division\:format}\\415\overline{|\smallspace1200}\\\\\mathrm{Divide}\:1200\:\mathrm{by}\:415\:\mathrm{to\:get}\:2\\\\\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\$

$\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:415\\$

$\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\space\space\space\space\underline{\emptyspace8\emptyspace3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}$

$\mathrm{Subtract}\:830\:\mathrm{from}\:1200$

$\begin{matrix}\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\space\\ space\space\space\space\space\space\underline{\empty\space8\empty\space3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\emptyspace3\emptyspace7\emptyspace0\space\space\space\end{matrix}$

$\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1200}{415}\:\mathrm{is}\:2\:\mathrm{with\:remainder\:of}\:370\\\\2\quad \mathrm{Remainder}\quad \:370\\=2.89\\=3 weeks$

3 0

4 years ago