Lucas ran 9 miles in 3/4 of an hour. He took a break then returns by traveling that same 9 miles in 2/3 of an hour. How many more miles can lucas run per hour with his new rate

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:

y=3.364

x=4

Step-by-step explanation:

hope this helps

Answer:

where's the question or the picture of the question

Answer:

(2p - 1)(3p - 2)

Answer:

5(5(-1)-7)

-25-35

-60

Step-by-step explanation:

Answer: -60

Step-by-step explanation:

Image!!

Answer:

3/5 , .2, .19

Step-by-step explanation:

.2= 20/100

.19 = .19/100

3/5 = .6= 60/100

Answer:

the anwser is 7 buddy hope it helps

Answer:

if i'm correct its the second one

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

2/5 so 4/10

THE ANSWER IS A

Answer:

4/10

Step-by-step explanation:

get a common denominator (which is 10) then subtract

Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.

We need to identify which angle pairs are supplementary.

Supplementary angles are two angles with a sum of 180°.

Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.

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Answer:

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

Answer:

A) (2x − 7) (4x² + 14x + 49)

C) (3x + 5) (9x² − 15x + 25)

Step-by-step explanation:

Sums and differences of cubes factor as:

a³ + b³ = (a + b) (a² − ab + b²)

a³ − b³ = (a − b) (a² + ab + b²)

8x³ − 343 is a difference of cubes.

(2x)³ − 7³

(2x − 7) (4x² + 14x + 49)

27x³ + 125 is a sum of cubes.

(3x)³ + 5³

(3x + 5) (9x² − 15x + 25)

Answer:100 chocolates

Step-by-step explanation:

20 chocolate in each box so 20 time 5 is 100 so 20 time 11 is 220

Answer:

221

Step-by-step explanation:

2-1+5*4*11

2-1+20*11

2-1+220

1+220

221

Answer:

368.08

So I turn the numbers into fractions so 344% would be 344/100 because percentages are out of 100. Since it is 344% OF 107, you'd put 107 on the bottom of the fraction and the answer will go on top. I multiply the IS with the OF (IS is the top number and OF is the bottom) so you'd multiply 107x344 to get 36808. Since 344 is a percent (out of 100) you have to do divide the answer by 100 to get 368.08

I hope that helps!

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]

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

Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(x)) = 10log10x

The answer is given below in the image.

The laws apply to logarithms of any base but the identical base needs to be used at some point in a calculation. This regulation tells us a way to add logarithms collectively. Adding log A and log B results in the logarithm of the product of A and B, that is log AB. The same base, in this situation 10, is used throughout the calculation.

A logarithm of more than a few raised to a power is identical to the power expanded via the logarithm of the wide variety to the same base. that is, loga(mn) = nlogam.

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Answer:

8-p=-12-3p

8+12-p = -3p

20 = -3p + p

20 = -2p

20/-2 = p

-10 = p

ans. p = -10

...

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

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:

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: I think the answer is C

Answer:

yea i agree with kassidy

Answer:

45ans

Step-by-step explanation:

p=?

m=15kg

v=3m/s

now,

p=m*v

p=15*3

p=45 ans

Answer:

0 is a rational, whole, integer and real number.

Step-by-step explanation:

0 is a rational, whole, integer and real number.

5/2 , √5 , 2¾ , 2.71 (bar)

am not really sure but i guess that is what I know.

Answer:

 [tex]2\frac{3}{4}, 2.71, \sqrt{5}, \frac{5}{2}[/tex]

Step-by-step explanation:

Just convert them all to a decimal, I'm too lazy to write it all out...

Answer:

The answer is 4

Step-by-step explanation:

Like the other person said

Number lines are used to represent numbers at regular and constant intervals

The point on the number line that represents -3 - (-7) is 4

The expression is given as:

-3 - (-7)

Open the bracket

-3 + 7

Evaluate the expression

4

Hence, the point on the number line that represents -3 - (-7) is 4

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