hurrryyyyy please
What is the solution for p in the equation?
1/3 P + 1/2 P + 7 = 7/6 p + 5 + 4
A. p=1
B. p=-1
C. p=6
D. p=-6

Answer:

x=8/5−9y/5

Y=8/9−5x/9

Step-by-step explanation:

Answer:

If ur solving for x, then x equals 8/5 - 9y/5

Step-by-step explanation:

the value of c that makes the function f(x, y) = ce^−2x−3y a joint probability density function over the given range is:
\(c = -6 / (e^−5-1)\)

To determine the value of c that makes the function f(x, y) = \(ce^−2x−3y\) a joint probability density function over the range 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1, we need to make sure that the function integrates to 1 over this range. This is because the total probability over the entire range should equal 1.

Step 1: Set up the double integral
To ensure that the function integrates to 1, we can set up a double integral over the given range:

∫∫ f(x, y) dx dy = 1

Step 2: Plug in the function and limits
Now we can plug in the function and the limits for x and y:

∫₀¹ ∫₀¹ ce^−2x−3y dx dy = 1

Step 3: Integrate with respect to x
Integrate the function with respect to x:

∫₀¹ [(-c/2)e^−2x−3y]₀¹ dy = 1

Evaluate the integral at the limits:

∫₀¹ [-c/2(e^−2−3y - e^−3y)] dy = 1

Step 4: Integrate with respect to y
Now integrate with respect to y:

[-c/6(e^−5 - 1)]₀¹ = 1

Evaluate the integral at the limits:

- c/6(e^−5 - 1) = 1

Step 5: Solve for c
Finally, solve for c:

c = -6 / (e^−5 - 1)

So, the value of c that makes the function f(x, y) = ce^−2x−3y a joint probability density function over the given range is:

c = -6 / (e^−5 - 1)

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Answer:

362880 times

I hope this helps

Answer:

None, each of the four given system of equations have only one solution

Step-by-step explanation:

A system of equations have infinitely many solutions, when the equations represent the same line and therefore, the two equations are the same;

Each of the options are examined as follows;

a. 4·x + 2·y = 5...(1)

-4·x - 2·y = 1...(2)

Expressing both equations with y as the subject, we have;

The value of y in equation (1) is given as follows;

4·x + 2·y = 5

2·y = 5 - 4·x

∴ y = 5/2 - 2·x

The value of y in equation (2) is given as follows;

-4·x - 2·y = 1

-2·y = 1 + 4·x

∴ y = -1/2 - 2·x

Therefore, equation (1) and equation (2) represent the same equation and are therefore equal and have only one solution

b. -10·x + y = 4...(1)

10·x - y = 4...(2)

Therefore, we have;

Adding equation (1) to equation (2) gives;

-10·x + 10·x + y - y = 4 + 4

0 + 0 = 8

0 = 8

Given that 0 ≠ 8, equation (1) is not equal to equation (2) and the two equations have only one solution

c. -8·x + y = 2...(1)

8·x - y = 0...(2)

By examination, the values on the left hand side, LHS, of both equations are the same magnitude but opposite in sign, while the right hand side, RHS, of both equations, have different magnitude

Therefore, the two equations are different and have only one solution

d. -x + 2·y = 6...(1)

7·x - 2·y = 12...(2)

Making y the subject of both equations gives;

Equation (1)

2·y = 6 + x

y = 3 + x/2

Equation (2)

2·y = 12 - 7·x

y = 6 - 3.5·x

Therefore, the two equations are different and have only one solution

Answer:

B

Step-by-step explanation:

I'm guessing the answer is B. I know why the other person said all of them only have one solution. But, On b You wrote -10x+y=4  10x-y=4

When really it was supposed to be -10x+y=4  10x-y=-4

The number of months it will take for both accounts to have the same amount of money is 250.50 - 35m = 300 - 45.25m, which can be found using the equation.

Let  m be the  number of months.

It is given that:

The international Business club starts with $ 250.50 in their account.

and each month they spent $ 35 on activities.

This means that after m months the total amount left in the bank account is:

250.20-35 m

The future agriculture leaders club start with a amount of $ 300 and spent $ 45.25 each month.

This means that the amount left in the account after m months is:

300-45.25m

Now, the equation that represents same amount of money in both the accounts is:

250.50-35m=300-42.25m

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First we need to find the inverse function.  To do this, I'd put f(x) into vertex form:

    \(\begin{aligned}f(x) &= (x^2-4x)-6\\[0.5em] &= (x^2-4x+4)-6-4\\[0.5em] &= (x-2)^2-10\\[0.5em]\end{aligned}\)

Now, we can try to invert the function, keeping in mind this is only used when x≥2.

     \(\begin{aligned}y&= (x-2)^2-10\\[0.5em]y+10&= (x-2)^2\\[0.5em]\sqrt{y+10}&= x-2\\[0.5em]\sqrt{y+10}+2&= x\\[0.5em]\end{aligned}\)

(The fact that x ≥ 2 allowed us only keep the positive square root on the third line.)

So our inverse function is \(f^{-1}(y)=\sqrt{y+10}+2\).

Now, let's find the derivative of this function:

    \(\begin{aligned}\dfrac{df^{-1}}{dy}&= \dfrac{1}{2\sqrt{y+10}}\cdot\dfrac{d}{dy}[y+10]\\[0.5em] &= \dfrac{1}{2\sqrt{y+10}}\end{aligned}\\\)

(The chain rule was used, but the derivative of the inside function equals 1.)

So \((f^{-1})'(-6) = \dfrac{1}{2\sqrt{-6+10}} = \dfrac{1}{4}\)

Now having done all of that, it did cross my mind that since \(f\) and \(f^{-1}\) are simply reflections over the line y=x, if we had actually just found f'(4) and then used the reciprocal slope, we'd also get the same answer more quickly.

f'(x) = 2x - 4

when y = -6, then x = 4 (by solving f(x) = -6).

f'(4) = 4, so reflecting that slope of 4/1 over the line y=x, we'd get a slope of 1/4.

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer:

6 degrees high/-10 degrees low

Step-by-step explanation:

Answer:

\(r=0.07\)

Step-by-step explanation:

From the question we are told that

An offer of 2$ in 11 years on every dollar

Generally we make use of this formula

\(F=P(1+r/100)^t\)

where

\(f=Future value\)

\(P= present value\)

\(r=Rate\)

\(t=time\)

Mathematically solving  for the rate

     \(2=1(1+r/100)^1^1\)

    \((2)^1^/^1^1=(1+r/100)\)

    \((1+r/100=1.0650\)

     \(r=(1.0650-1) *100\)

     \(r=0.07\)

Generally this shows that the account give an annual rate of 0.07

Answer:

a) 1:3:5

b) 9:10

Step-by-step explanation:

a) 7:21:35

Simplify by 7, we get the ratio

1:3:5

b) 9 min: 600 seconds

9 min = 540 seconds

540 seconds: 600 seconds

Simplify by 60, we get the ratio

9:10

Answer:

a) 1:3:5

b) 3 min: 200 s

Step-by-step explanation:

a) find a common factor you can divide them all by, in this case it would be 7.

7÷7=1

21÷7=3

35÷7=5

=1:3:5

b) find the common factor (3)

Divide all the numbers by the factor

9÷3=3

600÷3=200

=3 mins: 200 s

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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Answer:

10.9%

Step-by-step explanation:

You want to do the number of ways that can happen, which is \(_8C_2 = 28\) divided by the total number of possibilities which is \(2^8\) to get 10.9%

The scale factor of the dilation of the triangles is 2

From the question, we have the following parameters that can be used in our computation:

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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Answer:

12 percent

Step-by-step explanation:

Technically its 11.7647 but I'm pretty sure you would round that to 12 percent, if not 12 percent 11.8 percent. Hope this helps!

Answer:

1. surface area is 280 2. 144

Step-by-step explanation:

please mark as brainliest if correct

thank you

Answer:

0.38

Step-by-step explanation:

Percentage is number/100 = 38/100 = 0.38

Cheers

The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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Answer:

04x=24

Step-by-step explanation:

04x=24

divide both sides by 4 to let x stand alone

04x÷4=24÷4

x=6

Answer:

Step-by-step explanation:

1=1x+1 what is the value of the variable

1 = 1x + 1

1 = x + 1

x = 1 - 1

x = 0

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Answer:

$52.31

Step-by-step explanation:

61.72 includes the 18% tip. 61.72 = (100 + 18)% = 118%.

1% = 61.72/118

100% = 100 X (61.72/118 ) = 52.31.

so the original bill was $52.31 (to nearest cent)

The probability of choosing five representatives from the Eastern Conference and six from the Western Conference is 0.647 that is 11/17.

Given that,

The eastern conference's six player representatives and the western conference's twelve player representatives will make up the players' labor negotiating committee.

We have to calculate the probability of choosing five representatives from the Eastern Conference and six from the Western Conference.

We know that

The players are chosen without replacement from the sample, the hypergeometric distribution is applied.

distribution that is hypergeometric

\(P(X=x)=h(x,N,n,k)=\frac{C_{k,x}C_{N-k,n-x} }{C_{N,x}}\)

\(C_{n,x}=\frac{n!}{x!(n-x)!}\)

The conditions are:

The number of victories is x.

N is the population's size.

The size of the sample is n.

The total number of desired results is k.

In this issue:

18 representatives are present, therefore N=18

6 belong to the Eastern Conference; as a result k=6

11 samples were used, so, n=11

The probability is P(X = 5), hence:

\(P(X=5)=h(5,18,11,6)=\frac{C_{6,5}C_{18-6,11-5} }{C_{18,5 }}\)

\(\frac{C_{6,5}C_{12,6} }{C_{18,5 }}\)

(6×924)/8568

5544/8568

0.647

Therefore, The probability of choosing five representatives from the Eastern Conference and six from the Western Conference is 0.647 that is 11/17.

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Simplest radical form is x = \(\sqrt{7}\)/30 Simply put, the algebraic statement or number in its radical form.

Explanation:

x = \(\sqrt{7}\)/30.            

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Answer:

d. 9

Step-by-step explanation:

i friken used all my attempts guessing on this and got it wrong all times so 9 is the last answer

Answer:

3/5

Step-by-step explanation:

When you are given an x-intercept, the y value will always be 0.

When you are given a y-intercept, the x value will always be 0.

With the intercepts we are given, we can make two points we can solve for the slope with.

(5, 0)

(0, -3)

Now, find the slope with the formula [ y2-y1/x2-x1 ]

-3-0/0-5

-3/-5

3/5 or 0.6

Best of Luck!

Slope of x + 5: m = 1

For a line equation for the form of y = mx + b, the slope is m.

Hope this helps!

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

$70.80

Step-by-step explanation:

60+18/100*60

70.80