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3 years ago

What is the area of this figure? ___ Units^2

Mathematics

2 answers:

iogann1982 [59]3 years ago

5 0

Break it down to smaller shapes find their aree and then add all of the shapes ares together. I got 44 but I did it quickly don’t forget to divide by two when finding the area of a triangle.

anygoal [31]3 years ago

4 0

When using formulas to find all of the area in each figure you can make out of this figure, the area would be 44 units^2

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Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Cons

Yuri [45]

Answer:

a. E(x) = 3.730

b. c = 3.8475

c. 0.4308

Step-by-step explanation:

Given

0 x < 3

F(x) = (x-3)/1.13, 3 < x < 4.13

1 x > 4.13

Calculating E(x)

First, we'll calculate the pdf, f(x).

f(x) is the derivative of F(x)

So, if F(x) = (x-3)/1.13

f(x) = F'(x) = 1/1.13, 3 < x < 4.13

E(x) is the integral of xf(x)

xf(x) = x * 1/1.3 = x/1.3

Integrating x/1.3

E(x) = x²/(2*1.13)

E(x) = x²/2.26 , 3 < x < 4.13

E(x) = (4.13²-3²)/2.16

E(x) = 3.730046296296296

E(x) = 3.730 (approximated)

What is the value c such that P(X < c) = 0.75

First, we'll solve F(c)

F(c) = P(x<c)

F(c) = (c-3)/1.13= 0.75

c - 3 = 1.13 * 0.75

c - 3 = 0.8475

c = 3 + 0.8475

c = 3.8475

What is the probability that X falls within 0.28 minutes of its mean?

Here we'll solve for

P(3.73 - 0.28 < X < 3.73 + 0.28)

= F(3.73 + 0.28) - F(3.73 + 0.28)

= 2*0.28/1.3 = 0.430769

= 0.4308 -- Approximated

5 0

2 years ago

Which equation represents the line shown on the graph in the picture

natima [27]

Answer:

either the second one or the fourth one. good luck

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

the angle of depression from an airplane at an altitude of 8000 feet to the airport is 7 degrees. Find the direct distance from

Aleks [24]

Answer:

direct distance = 65,644.07 feet

horizontal distance = 65,154.77 feet

Step-by-step explanation:

The angle of depression is the angle that the airplane does with the horizontal plane.

So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.

In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:

tangent(7) = 8000 / hd

hd = 8000 / tangent(7) = 65,154.77 feet

In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:

sine(7) = 8000 / d

d = 8000 / sine(7) = 65,644.07 feet

5 0

3 years ago

Write 36 as a product of prime factors

dybincka [34]

Answer:

2*2*3*3

Step-by-step explanation:

7 0

3 years ago

Graph -5x-8y=40

Triss [41]

Answer:

Please, see the attached file.

Thanks.

Step-by-step explanation:

-5x-8y=40

This is a linear equation, and its graph is a right line, we only need two points, because by two points only goes trough only a right line:

1) For x=0→ -5(0)-8y=40

0-8y=40

-8y=40

Dividing both sides of the equation by -8:

-8y/(-8)=40/(-8)

y=-5

Point=(x,y)→Point=(0,-5)

2) For y=0→ -5x-8(0)=40

-5x-0=40

-5x=40

Dividing both sides of the equation by -5:

-5x/(-5)=40/(-5)

x=-8

Point=(x,y)→Point=(-8,0)

With these two points (0,-5) and (-8,0) we can draw the right line.

8 0

3 years ago