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2 years ago

What does a correlation coefficient of r = -0.89 indicate?

Mathematics

1 answer:

Leviafan [203]2 years ago

5 0

Answer:

There is a strong but negative correlation. The - cuases a doawnward line but .89 is close to 1

Step-by-step explanation:

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One of the roots of the quadratic equation 4mnx^2 – 6m^2x – 6n^2x + 9mn = 0 (m, n ≠ 0) is a)-3m/2n b)3m/2n c)2m/3n d)-2m/3n

maxonik [38]

Answer:

$B.\ \frac{3m}{2n}$

Step-by-step explanation:

Given

$4mnx^2 - 6m^2x - 6n^2x + 9mn = 0\ (m, n \neq 0)$

Required

Calculate one of the root of the equation

$4mnx^2 - 6m^2x - 6n^2x + 9mn = 0$

Factorize

$2mx(2nx - 3m) -3n(2nx - 3m) = 0$

$(2mx - 3n)(2nx - 3m) = 0$

Split equation

$2mx - 3n = 0\ or\ 2nx - 3m = 0$

Make x the subject of formula in both expressions

$2mx = 3n\ or\ 2nx = 3m$

$x = \frac{3n}{2m}\ or\ x = \frac{3m}{2n}$

<em>From the list of given options, one of the roots of the equation is</em> $\frac{3m}{2n}$

4 0

3 years ago

A jogger runs 6 miles per hour faster downhill than uphill. If the jogger can run 5 miles downhill in the same time that it take

muminat

Answer:

The speed of jogger in uphills is 4 mile per hour

And The speed of jogger in downhills is 10 mile per hour

Step-by-step explanation:

Given as :

The distance cover by jogger in downhill (Dd) = 5 miles

The distance cover by jogger in uphill (Du) = 2 miles

The time taken by jogger in downhill (Td) = T hour

The time taken by jogger in uphill (Tu) = T hour

Let The speed of jogger in uphills (Su) = x mph

So ,The speed of jogger in downhills (Sd) =( x + 6 ) mph

∵, Time = $\frac{Distance}{Speed}$

So, Tu = $\frac{Du}{Su}$

Or, T = $\frac{2}{x}$ h

And Td = $\frac{Dd}{Sd}$

Or, T = $\frac{5}{(x + 6)}$ h

∵ Time duration of both is same

∴ $\frac{2}{x}$ = $\frac{5}{(x + 6)}$

Or, 2 × (x + 6) = 5x

Or, 2x + 12 = 5x

So, 12 = 3x

∴ x = $\frac{12}{3}$ = 4 mph

And x + 6 = 4 + 6 = 10 mph

Hence The speed of jogger in uphills is 4 mile per hour

And The speed of jogger in downhills is 10 mile per hour Answer

5 0

3 years ago

Each of the four lines shown here has equation y = mx + b. For which line is it true that

Maksim231197 [3]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

For m> 0, b<0

the solution in the attached figure

6 0

3 years ago

Read 2 more answers

Which of the following is true about the diagonals of a rectangle? Select all that are true.

jok3333 [9.3K]

Step-by-step explanation:

Diagonals are congruent.

C) Diagonals are perpendicular.

D) Diagonals bisect the angles.

8 0

2 years ago

What is the value of x

Anarel [89]

Answer: x=17

Step-by-step explanation:(6x+x+4x)+(10+17-34)=180

we know this because triangles always equal 180o so the 3 angles equa; 180 so 187/11 + 17

3 0

2 years ago