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monitta
3 years ago
13

5. Suppose that a and b are both real numbers such that a < b. What can you conclude about the inequality 1/a < 1/b?

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0
Let's start with the given:
a for any a, b such that a and b are real numbers.

Multiplying by \frac{1}{a} on both sides:
(\frac{1}{a})a=1

Now multiply by \frac{1}{b} on both sides:
(\frac{1}{b})1=\frac{1}{b}

Then we have:
\frac{1}{b}

Then the answer must be c.
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Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim
andreev551 [17]

Answer:

p_v =P(t_{74}    

If we compare the p value and a significance level for example \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

Step-by-step explanation:

Data given and notation    

\bar X=18.81 represent the average lateral recumbency for the sample    

s=8.4 represent the sample standard deviation    

n=75 sample size    

\mu_o =20 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to apply a left tailed  test.  

What are H0 and Ha for this study?    

Null hypothesis:  \mu \geq 20  

Alternative hypothesis :\mu < 20  

Compute the test statistic  

The statistic for this case is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic    

We can replace in formula (1) the info given like this:    

t=\frac{18.81-20}{\frac{8.4}{\sqrt{75}}}=-1.227

The degrees of freedom are given by:

df=n-1=75-1=74    

Give the appropriate conclusion for the test  

Since is a one side left tailed test the p value would be:    

p_v =P(t_{74}    

Conclusion    

If we compare the p value and a significance level for example \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

3 0
3 years ago
What percent of 64 is 4?<br><br> 1/16%<br><br> 6 1/4%<br><br> 62 1/2%<br><br> 625%
Svet_ta [14]
The answer to this question is 6.25%.
6 0
2 years ago
Read 2 more answers
Let ​ x2+11x=3 ​.
frutty [35]
Add (11/2)^2 to both sides
x^2 + 11x + (11/2)^2 = 3 + (11/2)^2
x^2 + 11x + (11/2)^2 = 133/4
(x + 11/2)^2 = 133/4
x + 11/2 = sqrt of (133/4)
Solutions are
x = (sqrt of (133) - 11))/2
x = (-sqrt of (133) -11))/2
3 0
3 years ago
Read 2 more answers
Geneva treated her parents to dinner at their favorite restaurant the bill was $74.25 Geneva wants to leave 16% of the total tip
Tanya [424]

Answer: The tip would be $11.88.

Step-by-step explanation: Basically, to find the tip of the bill you need to multiply the total, $74.25 by the tip amount which is 16%. To do this you will first need to convert 16% to a decimal. To find the decimal, divide 16 by 100 to get 0.16. Next, you will need to multiply the total of the bill $74.25 by the decimal 0.16. 74.25 multiplied by 0.16 is 11.88. So, the tip would be $11.88.

6 0
3 years ago
Algebra Help Please!<br> Given f(x) = -3x + 5, find f(-6).
balandron [24]
The answer is 23





you plug -6 into x on the other side of the problem then do the math, two negatives make a positive
5 0
4 years ago
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