Do the following conditions make a unique triangle, more than one triangle or no triangle possible help

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:

According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

first add 22 to both sides

-x/9=3

then isolate x by multiplying by 9

-x=27

x can't be negative so multiply by -1

x=-27

Answer:

x = -27

Step-by-step explanation:

Solve the equation by inverse operations and you get x = - 27

The weight of the third book is approximately 5.33 grams.

According to the given information:

The average weight of the 3 books is 3 grams.

To find the average weight, we sum up the weights of all the books and divide by the total number of books:

(1/3 + 5/2 + x) / 3 = 3

Now we can solve this equation to find the weight of the third book:

(1/3 + 5/2 + x) = 3 * 3

(1/3 + 5/2 + x) = 9

(1 + 15 + 6x) / 6 = 9

(22 + 6x) / 6 = 9

22 + 6x = 54

6x = 54 - 22

6x = 32

x = 32 / 6

x ≈ 5.33

Therefore, the weight of the third book is approximately 5.33 grams.

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The average weight of 3 books is 3gm, one book weighs 1/3 gm and the second 5/2gm. What is the weight of the third?

Answer:

Answer is B

Step-by-step explanation: −4x + 5= −3

1. Subtract 5 from both sides −4x +5 −5 = −3 −5

2. You remain with this  −4x = −8

3. Divide both side by -4. -4x/-4 = -8/-4

4. Answer will be x = 2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain of given function is set of real numbers

Answer:

c, cause yeah

Answer:

C: a quadrilateral with exactly one pair of parallel sides

Answer:

it will take 4 years

Step-by-step explanation:

tree one: 8+1= 9,10,11,12

tree two: 10+.5= 10.5,11,11.5,12

Hi, you've asked an incomplete question. I provided some suggestions to help.

Explanation:

First, note that the term workplace refers to the location a person does his or her work. In modern times this location could be physical or virtual (a virtual workplace).

Thus, kindly note the kind of workplace you have in mind, then you could find resources that contain the sought-after applications to the workplace.

Answer:

x = 1 and y = -1

Step-by-step explanation:

Answer:

r = 10.5 m

Step-by-step explanation:

Given that,

A bicycle wheel turns 15 times in covering a distance of 66 m.

We need to find the radius of the wheel.

The distance that a wheel travels in one rotation is simply the circumference of the circle.

[tex]2\pi r=66[/tex]

Where

r is the radius of the wheel

Put all the values,

[tex]r=\dfrac{66}{2\pi}\\\\r=\dfrac{66\times 7}{2\times 22}\\\\r=10.5\ m[/tex]

So, the radius of the wheel is equal to 10.5 m.  

Answer:

9x +4y

Step-by-step explanation:

step 1 : parentheses are priorities

so multiple the 6 to the parentheses

6x + 24y +3x -20y

combine the x's together

6x +3x + 24y -20y

9x + 4 y

Answer:

[tex]9x + 4y[/tex]

Step-by-step explanation:

1) Expand by distributing term.

[tex]6x + 24y + 3x - 20y[/tex]

2) Collect like terms.

[tex](6x + 3x) + (24y - 20y)[/tex]

3) Simplify.

[tex]9x + 4y[/tex]

Hence, the answer is 9x + 4y.

43

if so, use the formula for sum of interior angles in a polygon to solve. 7380 = (n - 2)(180), where n is the number of sides. The number of sides of the polygon is 43.

There are 43 sides in a polygon,  if the sum of its interior angle measures is 7380°.

A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane.

We have to find the number of sides in a polygon.

The sum of its interior angle measures is 7380°

The sum of the interior angles of a polygon can be calculated using the formula S = (n - 2) x 180°

where n is the number of sides of the polygon

7380 = (n-2)×180

We have to solve for n

Divide both sides by 180

7380/180=n-2

41=n-2

Add 2 on both sides

43 = n

Hence, there are 43 sides in a polygon,  if the sum of its interior angle measures is 7380°.

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Answer:

I kinda color coded it. Hopefully this helps.

Step-by-step explanation:

Please look at the attached screenshots.

the 3-dimensonal figure color and attached below the orthographic projection for each indicated viewpoint or perspective.

A 3-dimensional figure, and solid, is bounded from the flat and curved surfaces that enclose the single region of space. A polyhedron is the solid that is bounded by polygons, known as faces. An edge of the polyhedron is the line segment formed by the intersection of 2 faces.

Dimensions in the mathematics are the measure of the distance and size of the object and region and space in 1 direction. In simpler terms, it is the measurement of the length, width, or height of anything.

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Step-by-step explanation:

MULTIPLY length x width x height

your answer would be D. 18

did it on edge :)

Answer:

$32

Step-by-step explanation:

a dollar is 100 cents. so simply sake away the two zeros at the end.

Answer:

$32

Step-by-step explanation:

the answer is thirty two dollars because a dollar is 100 cents and 3200 ÷ 100 =32

Answer:

1. 1/6 2. 80

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

35-55?

im not sure sorry if im wrong

Answer:

0.875

Step-by-step explanation:

have a good day/night

may i please have banilliest

thank u

sorry if wrong

Answer:

the answer is 3x minus 2 because when u combine the x terms it's 3x and 2 doesn't have any other like term

2 1/3 - 1 4/5

= 7/3 - 9/5

= 35/15 - 27/15

= 8/15

ANSWER: 8/15

7 3/4 - 6 4/5

= 31/4 - 34/5

= 155/20 - 136/20

= 19/20

ANSWER: 19/20 ft. farther