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tresset_1 [31]
3 years ago
9

Which of the following is the quotient of the rational expressions shown below?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0
We have two rational expressions. One in numerator and one in denominator.
Dividing by a fraction is equivalent to multiplying by its reciprocal. The rational expression in the denominator can be multiplied by taking its reciprocal to simplify the overall expression as shown below.

\frac{ \frac{4x+1}{6x} }{ \frac{x}{3x-1} }  \\  \\ 
= \frac{4x+1}{6x} * \frac{3x-1}{x}  \\  \\ 
= \frac{(4x+1)(3x-1)}{6 x^{2} }

There are no common factors, so the expression can be simplified any further. 
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An article describes a study comparing two methods of measuring mean arterial blood pressure. The auscultatory method is based o
zzz [600]

Answer:

p_v =P(t_{(5)}>0.499) =0.319

The p value is higher than any significance level given for example \alpha=0.05,0.1, so then we can conclude that we FAIL to reject the null hypothesis. So we don't have enough evidence to conclude that the mean reading is greater for the auscultatory method at 5% or 10% of significance.

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations we can use it.  

Let put some notation  

x=Auscultatory method , y = Oscillatory method

x: 74 86 84 79 70 78 79 70

y: 70 85 90 110 71 80 69 74

The system of hypothesis for this case are:

Null hypothesis: \mu_x- \mu_y \leq 0

Alternative hypothesis: \mu_x -\mu_y >0

The first step is define the difference d_i=x_i-y_i, that is given so we have:

d: 6.6, 4.2, -5.5, -3.1, 9.3, -3.9

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}=1.267

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =6.215

The fourth step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{1.267 -0}{\frac{6.215}{\sqrt{6}}}=0.499

The next step is calculate the degrees of freedom given by:

df=n-1=6-1=5

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

p_v =P(t_{(5)}>0.499) =0.319

The p value is higher than any significance level given for example \alpha=0.05,0.1, so then we can conclude that we FAIL to reject the null hypothesis. So we don't have enough evidence to conclude that the mean reading is greater for the auscultatory method at 5% or 10% of significance.

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3 years ago
7t + 4 is less than or equal to 3t
Ket [755]
-7t-3t would be -4t
4 is less than or equal to -4t
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-1 is less than or equal to t
6 0
3 years ago
Read 2 more answers
Joshua, an editor for the Winston Salem Gazette, edits 1⁄6 of a page in 3 minutes. How long would it take him to edit 3 pages?
quester [9]

Answer:

54

Step-by-step explanation:

If we know that Josh edits at a rate of 1/6 of a page in three minutes... then using the Unit rule... we can determine that he edits 1 whole page 6 times longer than that. By doing that... we find that Josh edits 1 page in 18 minutes. From there... we multiply the time at which it takes him to edit one page (18 minutes) by 3 (pages) to get our answer.

18 x 3 = 54

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3 years ago
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3 years ago
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If you want per minute, then irregular ratio of 1348.38333333 likes per minute
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