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Anika [276]
2 years ago
9

If y varies directly with x and y =6 when c= -7 what is y when x =4

Mathematics
1 answer:
kaheart [24]2 years ago
6 0

y = kx

6 = (k)(-7)

k = -6/7

y = -6/7 x

y = (-6/7)(4)

y = -24/7 = -3 3/7

Answer: y = -3 3/7

Hope this helps!

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The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditio
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If two events are independent, then

Pr(A\cap B)=Pr(A)\cdot Pr(B).

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Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)},\\ \\ Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr(A)}.

For independent events these formulas will be:

Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}=\dfrac{Pr(A)\cdot Pr(B)}{Pr(B)}=Pr(A),\\ \\ Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr(A)}=\dfrac{Pr(A)\cdot Pr(B)}{Pr(A)}=Pr(B).

Now in your case Pr(A)=x,\ Pr(B)=y and Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y.

This shows that the only correct choice is A.

5 0
3 years ago
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The rate of growth of profit​ (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati
Alecsey [184]

Answer:

The function is  P(x) =  \frac{1}{2} e^{-x^2} +0.016

Step-by-step explanation:

From the question we are told that

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     The total profit is P(2)  =$25,000

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From the question

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  Now here x represent the time taken

Now the total profit is mathematically represented as

       P(x) =  \int\limits {P'(x)} \,  =   \int\limits {xe^{-x^2}} \,

So using substitution method

   We have that

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                      du =  2xdx

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        p(x) =  \int\limits {\frac{1}{2} e^{-u}} \, du

       p(x) =  {\frac{1}{2} [ e^{-u}} +c ]

       p(x) =  {\frac{1}{2}  e^{-x^2}} + \frac{1}{2} c      recall  u =  - x^2   and  let  \frac{1}{2} c =  Z

       

At  x =  2 years  

     P(x)  =$25,000

So

       Since the profit rate is in million

    P(x)  =$25,000 = \frac{25000}{1000000} =$0.025 millon dollars

So  

       0.025 =  {\frac{1}{2}  e^{-2^2}} + Z  

=>    Z = 0.025 - {\frac{1}{2}  e^{-2^2}}  

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So the profit function becomes

         P(x) =  \frac{1}{2} e^{-x^2} +0.016

     

       

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melomori [17]
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Step-by-step explanation:

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We can now use the point-slope form to write the equation for this line:

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