Help with this pls ?

The joint density equation is missing in the question. The equation is [tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]

Probability is 0.59

Step-by-step explanation:

We have

x -- denotes the annual claim health insurance

y -- denotes the annual claim life insurance

And joint density of x and y is given to us

[tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]

Event that the claim exceeds 0.5 but less than 2 can be written as 0.5≤ x+y ≤2

and claim of life insurance less than 1.5 can be written as 0 ≤ y ≤ 1.5

Required probability

= P( 0.5≤ x+y ≤2  ∩ 0 ≤ y ≤ 1.5 )

Lets plot this, to find the common region

For common region

when 0≤ x ≤ 0.5, then 0.5 ≤ y ≤ 1.5  ---- for region I

when 0.5≤ x ≤ 1, then 0 ≤ y ≤ 2-x  ---- for region II

The required probability

= [tex]\int_{0}^{0.5} \int_{0.5-x}^{1.5}2x^3 dy dx+\int_{0.5}^{1} \int_{0}^{2-x}2x^3 dy dx[/tex]

= [tex]\int_{0}^{0.5} 2x^3[\int_{0.5-x}^{1.5}dy] dx+\int_{0.5}^{1} 2x^3[\int_{0}^{2-x}dy] dx[/tex]

= [tex]\int_{0}^{0.5} 2x^3(1.5-0.5+x) dx+\int_{0.5}^{1} 2x^3 (2-x) dx[/tex]

= [tex]\int_{0}^{0.5}2x^3 dx+\int_{0}^{0.5}2x^4 dx+\int_{0.5}^{1}4x^3 dx-\int_{0.5}^{1}2x^4[/tex]

= [tex][\frac{2x^4}{4}]_0^{0.5}+[\frac{2x^5}{5}]_0^{0.5}+[\frac{4x^4}{4}]_{0.5}^1-[\frac{2x^5}{5}]_{0.5}^1[/tex]

= [tex]$\frac{1}{32}+\frac{1}{80}+\frac{1}{16}-\frac{31}{20}$[/tex]

= 19/32

=0.59    

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

Answer:

10 miles per second

Step-by-step explanation:

if 1/10 seconds is equal to one mile, then 10/10 (1) second would be equal to 10 miles (per second).

The speed of Atlas V Rocket was 10 mile per second.

Here,

The distance travel by Atlas V Rocket was = 1 mile

Time taken = 1/10 second

We have to find the speed of Atlas V Rocket.

What is Speed?

Speed of an object is calculated as;

Speed = Distance/Time

Now,

The distance travel by Atlas V Rocket = 1 mile

Time taken = 1/10 second

Hence, The speed of Atlas V Rocket = [tex]\frac{1}{\frac{1}{10} }[/tex] = [tex]10[/tex]

Therefore, The speed of Atlas V Rocket was 10 mile per second.

Learn more about the speed visit:

https://brainly.com/question/24571540

#SPJ2

Step-by-step explanation:

If two variables x and y are independent, then:

P(x and y) = P(x) P(y)

Or, in terms of conditional probability:

P(x given y) = P(x)

From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.

From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.

Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.

Answer:

8-p=-12-3p

8+12-p = -3p

20 = -3p + p

20 = -2p

20/-2 = p

-10 = p

ans. p = -10

...

Answer:

2.1 < x <2.5

Step-by-step explanation:

i’m taking the test rn i’m not sure if it’s correct i’ll lyk!

Answer:

B on Edge

Step-by-step explanation:

Answer:

221

Step-by-step explanation:

2-1+5*4*11

2-1+20*11

2-1+220

1+220

221

Answer:

B.

Step-by-step explanation:

Answer:

A) 15x +79  = z

B) 15x +79 + 5x + 61 = 180

20x + 140 = 180

20x = 40

x = 2

Then using equation A)

A) 15 * 2 + 79 = z

30 + 79 =z

z = 109

Step-by-step explanation:

Answer: I think the answer is C

Answer:

yea i agree with kassidy

Answer:

Step-by-step explanation:

Below the sea level should be mentioned by negative value

So, It is  =  - 4.5

Answer:

35 counting yourself.........34 not

Step-by-step explanation:

10x2-10x+2

20-10x+2

22-10x

8x2+7-7

16+0

16

I'm confused so I add together cuz why not?

16+22-10x

28-10x

Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not . coordinates of C from the graph = (4,2) If the coordinates of C'=(6,2) we can see that value of y isn't change with reflection therefore the line of reflection would be x= ordinate of C'+ ordinate of C divided by 2=6+4 divided by 2=10 divided by 2=5. Therefore, the line of reflection must be x=5.

Answer:

5(5(-1)-7)

-25-35

-60

Step-by-step explanation:

Answer: -60

Step-by-step explanation:

Image!!

Answer:

12x - 6 ≤ - 18

Step-by-step explanation:

We will call "a number" x so

Twelve times a number would be:

12x

Then minus 6

12x - 6

Now we add the less than or equal to sign.

12x - 6 ≤

This is equal to negative eighteen, so:

12x - 6 ≤ - 18

As a bonus we can also solve for x.

12x - 6 = - 18    Add 6 to each side.

12x - 6 + 6 = -18 + 6

12x = -18 + 6

12x = -12  Divide each side by 12

12x/12 = -12/12

x = -12/12

x = -1

So we can say when x ≤ -1 Then 12x - 6 ≤ -18

Answer:

26

Step-by-step explanation:

For example, x = 13. 1 hour is 2 inches of rain. So 13 x 2 = 26.

Answer:

Ф = 66.2°

Step-by-step explanation:

The formula for work as

W = Fd cos⁡(Ф)

cos⁡(Ф) = W / Fd

Ф = cos^(-1)⁡〖W/Fd

Ф = cos^(-1)⁡〖110/33(8.25) 〗

Ф = 66.2°

Answer:

Ф = 66.2°

Step-by-step explanation:

Answer:

2(L+w) = 190ft (Perimeter)

L + W = 95ft (190 divided by 2)

L = W + 43ft (Given)

W + 43 + W = 95ft

2W + 43 = 95ft

2W = 52ft

W = 26ft

L = 26ft + 43 = 69ft

Answer: The feild is 69ft by 26ft

Hope this helps!!!

- Jarrett Lane

g(x) = f(x) - 5

We subtract 5 from f(x) because we are doing a vertical shift down 5 units.

Answer: A

Step-by-step explanation:

For this problem, you would need to analyze the graph.

If you notice, both lines look pretty identical with the exception of one lower than the other. As you can see, the blue line is the same as the red line, but shifted down by 5. Therefore, you would subtract f(x) by 5. That would make A our answer.

Answer:

the anwser is 7 buddy hope it helps

Answer:

12 inches

Step-by-step explanation:

answer

4 pairs

Step-by-step explanation:

total is $175

when you buy three pairs of pants you have wasted $90

175-90 equals 85

Answer:

The scale factor of water to flour is simply 3/5 or 3 to 5

Step-by-step explanation:

Here, we are interested in knowing the scale factor of water to flour.

To know this, we simply will rearrange the given equation;

w = 3/5f

Divide both side by f

w/f = 3/5

This shows that the scale factor of water to flour is 3 to 5 or simply 3/5

In this expression, the constant would be 12.

A constant is simply a term that has no variable next to it.

Answer:

6/1 or 6

Step-by-step explanation:

This is the answer because:

1) The reciprocal of a number is the fraction flipped upside down. Basically, when the numerator becomes the denominator and the denominator becomes the numerator.

2) So when you flip the fraction, you will get 6/1 which equals 6

Hope this helps!

Answer:

400 feet per minute

Step-by-step explanation:

Because it's feet per minute, you'll divide 10,000 by 25

400 feet per minute

hope this is good enough

Answer:  1) 1/3,654     2) 3/406     3) 72,684,900,288,000      4) 120

Step-by-step explanation:

1)         First       and        Second         and         Third

  [tex]\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}\times \dfrac{1\ remaining\ prize}{27\ remaining\ people}=\dfrac{6}{21,924}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad =\large\boxed{\dfrac{1}{3,654}}[/tex]

2)         First       and          Second

   [tex]\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}=\dfrac{6}{812}=\large\boxed{\dfrac{13}{406}}[/tex]

[tex]3)\quad \dfrac{29!}{(29-10)!}=\large\boxed{72,684,900,288,000}[/tex]

[tex]4)\quad _{10}C_3=\dfrac{10!}{3!(10-3)!}=\large\boxed{120}[/tex]