What is the constant of proportionality


will choose braij

The question is incomplete. The complete question is :

Suppose X and Y have a bivariate normal distribution with [tex]$\sigma_X = 0.04, \sigma_Y = 0.08, \mu_X = 3.00, \mu_Y = 7.70$[/tex] and ρ = 0.

Determine the following. Round your answers to three decimal places (e.g. 98.765).

(a). [tex]$P(2.90 < X < 3.10) =$[/tex]

(b). [tex]$P(7.60 < X < 7.80) =$[/tex]

(c). P(2.90 < X < 3.10, 9.60 < Y < 7.80) =

Solution :

We have

[tex]$X \sim N (\mu_X=3, \sigma_X^2=0.04^2)$[/tex]  and

[tex]$Y \sim N (\mu_Y=7.7, \sigma_Y^2=0.08^2)$[/tex]

a). The required probability is

   [tex]$P(2.90 < X < 3.10) =$[/tex] [tex]$P\left(\frac{2.9-3}{0.04}< Z < \frac{3.1-3}{0.04}\right)$[/tex]

  = P(-2.5 < Z < 2.5)  =  P(Z < 2.5) - P(Z < -2.5)

  = P(Z < 2.5) - [1-P(Z < 2.5)]

 = 2P(Z < 2.5) - 1

 = 2(0.99379) - 1

 = 0.98758

 ≈ 0.988

b). The required probability is

   [tex]$P(7.6 < X < 7.8) =$[/tex] [tex]$P\left(\frac{7.6-7.7}{0.08}< Z < \frac{7.8-7.7}{0.08}\right)$[/tex]

  = P(-1.25 < Z < 1.25)  =  P(Z < 1.25) - P(Z < -1.25)

  = P(Z < 1.25) - [1-P(Z < 1.25)]

 = 2P(Z < 1.25) - 1

 = 2(0.89435) - 1

 = 0.7887

 ≈ 0.789

c). Since, ρ = 0, so the X and Y are independent. Thus the required probability is :

P(2.90 < X < 3.10, 9.60 < Y < 7.80) = P(2.9 < X < 3.1) x P(7.6 < Y < 7.8)

     = (0.98758)(0.7887)

     = 0.77890

      ≈ 0.779

Answer: x > 4

x > 4 would look like that on the graph. If it was x is greater than or equal to 4, then the circle would be completely filled in. Hope this helped!

Answer:

-2

Step-by-step explanation:

This is an easy way to do it with points

(0,2)

+1  -2

(1,0)

rise/run  -2/1= -2

SAS, I guess (side angle side)

Step-by-step explanation:

Since AM=BC then AM+MB=MB+BN.

Therefore, AB=MN. So, the two triangle have one congruent angle, and the sides adjacent to it are congruent as well. Those triangle are thus congruent

Answer:

B. SAS (Side Angle Side)

Step-by-step explanation:

its right on E2020

Answer:

P = 56.562

Step-by-step explanation:

Perimeter of a semicircle:

P = πr + 2r

Given:

r = 11

Work:

P = πr + 2r

P = 3.142(11) + 2(11)

P = 34.562 + 22

P = 56.562

Answer:

160 ounces

Step-by-step explanation:

Easy mental math.

16oz × 10 pounds = 160 oz

please learn your school work. I know it's boring, but this is actually stuff you'll use in the real world. this is simple 4th-6th grade work. :)

Answer:

yes. It's a right triangle.

Step-by-step explanation:

According to the Pythagoras theorem,

a² + b² = c²

20² + 21² = 29²

400 + 441 = 841

841 = 841

LHS = RHS

Answer:

I think it is the first one because its a perfect mirror to the other when rotated 90%.pls tell me if I am wrong :(

Step-by-step explanation:

Answer:

Never want to give you up

Step-by-step explanation:

Brainliest? pls

Famous Dex - Pick It Up (Lyrics) feat. A$AP Rocky

My ordinary life

SoFaygo - Knock Knock

Streets

D !ck

Answer:

least to greatest is how number appear on a number line. numbers less than 0 or indicated with a negative number. if the number is greater than 0 it's indicated without the negative as the plus is implied.

-11, -5, -2 ,4 , 7

Answer: clockwise 90 degrees

Step-by-step explanation:

Answer:

Clockwise 90º

Step-by-step explanation:

270º/90 = 3

This means to rotate the quadrilateral 3 times amongst the x and y axis.

Counterclockwise 90º x1 = y at (0,-3)

Cc90º x2 or cc180º = y at (3,0)

Cc90º x3 or cc270º = y at (0,3)

If you wanted to move clockwise to (0,3), you'd only have to move 90º

Counterclockwise 270º = Clockwise 90º

Answer:

Given:

radius = 8

Volume of a sphere = 4/3 * π * r³

V = 4/3 * 3.14 * 8³

V = 1.33 * 3.14 * 512

V = 2,138.21 cubic unit

Step-by-step explanation:  Hope This Helped!!

Answer:

r=0

Step-by-step explanation:

9r x 3 - 144r = 0

27r-144r=0

-117r=0

r=0

Answer:

1) congruent

2) corresponding angles

3) 3x+21 = 6x-60

4) x =9

Step-by-step explanation:

1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.

2) the file below

3) we know they are equal because the congruent correspoding angles.

4) 3x+21 = 6x-60

=> 21 = 9x-60

=> 81 = 9x

=> 9 = x

Answer:

This is possible and the answer is (-1,0,1)

Step-by-step explanation:

It’s difficult to write out matrices here.

I apologize!

Answer:

0.125

Explanation:

0.5 x 0.5 x 0.5 = 0.125

Answer:

it's a bit blurry but if I aint wrong it's the 2nd one that say 2/5

Answer:

2.5 kilograms of chocolate

Step-by-step explanation:

Answer:

I DONT KNOW SOORY

Step-by-step explanation:

jbjnmbgkuyhjn

Answer:

Mean = 2.40

Standard deviation = 1.356

Step-by-step explanation:

Given the data:

X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total

P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00

The mean [E(X)]

Σx*p(x)

(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4

The standard deviation :

Std(x) = sqrt[VAR(x)]

Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2

Var(X) = 7.6 - 5.76 = 1.84

Std(X) = sqrt(1.84) = 1.356 (3 decimal places)

Answer:

The smallest sample size that we should consider is 68.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 10 minutes.

This means that [tex]\mu = 10[/tex]

What is the smallest sample size that we should consider?

This is n for which M = 2. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2 = 1.645\frac{10}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 1.645*10[/tex]

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up:

The smallest sample size that we should consider is 68.

Answer:

x=10

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Scale factor = (new figure measurement)/(original figure measurement)

Find IP using pythagorus

IP²=(y[tex]_{I}[/tex]-y[tex]_{P}[/tex])²+(x[tex]_{I}[/tex]-x[tex]_{P}[/tex])²

IP²=(4-(-4))²+(4-2)²

IP²=8²+2²

IP²=68

IP=[tex]\sqrt{68}[/tex]

Find I'P' using pythagorus

I'P'²=(y[tex]_{I'}[/tex]-y[tex]_{P'}[/tex])²+(x[tex]_{I'}[/tex]-x[tex]_{P'}[/tex])²

I'P'²=(2-(-2))²+(2-1)²

I'P'²=4²+1²

I'P'²=17

I'P'=[tex]\sqrt{17}[/tex]

Scale factor = (new figure measurement)/(original figure measurement)

=[tex]\sqrt{17}[/tex]/[tex]\sqrt{68}[/tex]

=1/2

Answer:

V = 314.16

Step-by-step explanation:

Answer:

S = -4

Step-by-step explanation:

-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.

Answer:

s-4+4=-8+4

s=-4

Step-by-step explanation:

x is equal to -4

Answer:

39/20 = 1.95

That's my simplified answer

39/20 = 1 19/20

Will this help?

Step-by-step explanation:

Answer:

[tex]1\frac{19}{20}[/tex]

Step-by-step explanation:

Answer:

1014 in

Step-by-step explanation:

(13 x 13) x 6 = 1014 in^3

Answer:

The answer should be A (676)

Step-by-step explanation:

Answer:

A, resolving conflicts and negotiating with others

D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.

Step-by-step explanation:

Answer:

its A,B,D,F

developing objectives and strategies

assisting and caring for others

establishing and maintaining interpersonal relationships

interpreting the meaning of information for others

Answer: Hey there !! The answer is 2.

Step-by-step explanation:

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

The absolute mean deviation is 2.

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

We have,

10, 9, 3, 8, 10

We first find the mean of 10, 9, 3, 8, 10

Mean = (10 + 9 + 3 + 8 + 10) / 5

Mean = 40 /5 = 8

Data sets

10            | 10 - 8 |     2

9              | 9 - 8 |      1

3              | 3 - 8 |      5

8              | 8 - 8 |      0

10             | 10 - 8 |    2

Mean absolute deviation

= (2 + 1 + 5 + 0 + 2) / 5

= 10 / 5

= 2

Thus the absolute mean deviation is 2.

Learn more about absolute mean deviation here:

https://brainly.com/question/10528201

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