Question
Use the table below to find P(Y = 1X = 2) Round your answer to two decimal places_y Response X Number of Bars time(nearest of Signal Strength fly ) second) 1 2 3 1 0.01 0.02 0.251 0.28 2 0.02 0.03 0.20 0.25 3 0.02 0.10 0.05 0.17 4 0.151 0.10 0.05 0.301 flx) 0.20 0.25 0.55 1.00
Use the table below to find P(Y = 1X = 2) Round your answer to two decimal places_ y Response X Number of Bars time(nearest of Signal Strength fly ) second) 1 2 3 1 0.01 0.02 0.251 0.28 2 0.02 0.03 0.20 0.25 3 0.02 0.10 0.05 0.17 4 0.151 0.10 0.05 0.301 flx) 0.20 0.25 0.55 1.00
Answers
Use either a graphing calculator or a spreadsheet to complete each table. Express all your answers as decimals rounded to four decimal places. $$ \begin{array}{|c|c|c|} \hline \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{f}(\boldsymbol{x}, \boldsymbol{y})=\frac{\boldsymbol{x}}{\boldsymbol{x}^{2}-\boldsymbol{y}^{2}} \\ \hline-1 & 2 & \\ \hline 0 & 0.2 & \\ \hline 0.4 & 2.5 & \\ \hline 10 & 0 & \\ \hline \end{array} $$
In this problem of function of several variables. We have to fill the table, I'm showing you. And now we have given F of x, Y, Z f of X, Y is X. L N X squared plus y squared. Now we have to find F of 31. That means actually equal to three and why they equals to one side message Three multiplied with Helen. So this is three square plus one, which is equals to Ellen 10. So three Ln 10 is equal to 6.9078. So this is 6.9078. So we can write The value which is 6.907. It now X is equal to 1.4 and why is equals 2 -1. So this is 1.4. Ellen The exit equals to 1.4. So this is 1.4 square Plus -1. Holy Square is simply one. Now when we solve it, so this is equals 1.5193. So this is 1.51 9 3. So we can write the value as 1.593. Now x is equal to E n y is equal to zero. So we can say F E n zero. So X equals to eat. So there's an E. Ellen now exit square is simply square and y is zero. So we can write it at zero. Now Ellen E square. So we can write it at two times L. Any. So this really would be E multiplied with two N L N E L n E is equal to one. So this is twice of E, so twice off E is equal to 5.4366, So this is five point food to the 66. Now X is equal to zero and why is equal to, so here X is equal to 00 multiplied with. This time will give you zero. So we have the required, they will hear. So this is a D. Required table.
I'm gonna use a graphing calculator. I'm choosing to use the decimals. Graphing calculator didn't want to graph the quantity X plus point oh four squared Plus one s .02 Squared equals Point No one and doesn't look like that because it's plus not minus. All right. We have something going on here, Presume way and we can see it so we can see an appropriate scale that would fit The center is at .04.02 with a radius. Um The Square 2.01.
We need to solve the following by elimination. So we're first going to multiply everything by 10 to make this whole numbers. So we have two X minus three. Y is equal to three and then four X plus six Y is equal to negative two. We're gonna multiply our top equation by two. So we get four X minus six. Y is equal to six are Wise cancel out and we're left with eight X is equal to four. So we divide by eight and we get X is equal to one half. So we're going to take that number and plug it back into one of the original equations. So 0.4 times X which is one half plus 0.6 Y is equal to negative 0.2 0.4 times one half is 0.2 plus 0.6 Y is equal to negative 0.2. We're going to subtract .2 from both sides, so negative .2 0.2 becomes negative point. Force we have 0.6 Y is equal to negative 0.4. We're gonna divide both sides by .6. Here we get why is equal to negative two thirds. So our solution to our system is one half And -2/3. You should take those two numbers, plug it back into the original equations to make sure it works and it does so this system is consistent and independent.
And this problem of function of several. Very well we have to complete the following table. I'm showing you. So this is F of X, Y. Is X squared to the power wise. So we can write F of X. Y equals two X. S square. Into the power way. Now we have to find F of 02 that means X is equal to zero. So when we multiply zero with any number will give you zero. So we have zero. Now we have to find f of -1 and five. So exit equals two minus one or minus one square edge one and E to the power this way would be minus one. Holy square is one and into the power five. So we have the right answer at E to the power five. No F of 1.4 and 2.5. So this way would be exit equal to 1.4. So this is 1.4, hole is square. So 1.4 sq Multiplied with say E to the power 2.5 is equal to. So this is equals to 290 nine. Now we have to find the world so we can write it as 290.9. And also we can evaluate into the power five. Also, so into the power five is equals to say this is equals 240. and now here we have x equals to 11. So this is F of 11 9. So X is equal to 11. So 11 square and E to the power nine. So we have to evaluate 11 is square, So 11 sq 821 is multiplied with E to the power. Mhm. Italy-powered nine. So this is equals two nine, So this is 1552 1552. So we can write it ask 980 473.1552. So this is the required table. Mm. Mhm.