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Goshia [24]
3 years ago
12

PLEAZE HELP IM FAILING THIS CLASS 9) The volume of a box is represented by x' +11x² + 20x – 32. The width of the box is x – 1, a

nd
the height is x + 8. Find the expression representing the length of the box.
Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

Step-by-step explanation:

Volume of the box  =  x³ +11x² + 20x – 32        I think the ' is a typo for ³

      the width is x-1    and the height is x+8      

Find an expression for the length

       Vol = LWH    solve L

        Vol / (WH)   =  L     so

L  =  (x³ +11x² + 20x – 32) / (x-1) (x+8)      

                    so it would help to factor the numerator

       (x³ +11x² + 20x – 32)       I'm willing to bet (x-1) and  (x+8) are factors

                                               but I will plot the equation to find the three roots

        (x³ +11x² + 20x – 32)  = (x-1) (x+8) (x+4)

L  =  (x³ +11x² + 20x – 32) / (x-1) (x+8)

   =  (x-1) (x+8) (x+4) / (x-1) (x+8)           the (x-1) and (x+8) cancel out leaving

L =   (x + 4)

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A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time and then switch
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Answer:

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.714 -0}{\frac{1.38}{\sqrt{7}}}=-1.369

df=n-1=7-1=6

p_v =2*P(t_{(6)}

We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs

Step-by-step explanation:

We have the following info given by the problem

Subject  1 2 3 4 5 6 7

Drug A  6 3 4 5 7 1 4

Drug B  5 1 5 5 5 2 2

x=value for drug A , y = value for drug B

x: 6 3 4 5 7 1 4  

y: 5 1 5 5 5 2 2

We want to verify if the mean response differs between the two drugs then  the system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x = 0

Alternative hypothesis: \mu_y -\mu_x \neq 0

We can begin calculating the difference d_i=y_i-x_i and we obtain this:

d: -1, -2, 1, 0, -2, 1, -2

Now we can calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}=-0.714

Now we can find the the standard deviation for the differences, and we got:

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}}=1.38

And now we can calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.714 -0}{\frac{1.38}{\sqrt{7}}}=-1.369

Now we can find the degrees of freedom given by:

df=n-1=7-1=6

We can calculate the p value, since we have a two tailed test the p value is given by:

p_v =2*P(t_{(6)}

We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs

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