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lesantik [10]
3 years ago
15

GUYS PLEASE HELP! AND SOLVE THIS WITH ME!

Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

Answer:

Step-by-step explanation:

* 33/100 = .3(bar)

* 23/50 =.46

* 6/8 = .75

* 1/3 = .3(bar)

* 7/10 =.7

* 21/81 = .26

* 3/16 = .1875

* 7/20 =.35

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The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv
Rina8888 [55]

Answer:

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=14.42 represent the sample mean

\mu population mean (variable of interest)

\sigma=6.95 represent the population standard deviation

n=36 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

5 0
3 years ago
F(x)=3x+4 and g(x) 4x^(2)-x <br> Find f(-5) and g(-2)
katovenus [111]
F(-5)=3(-5)+4=-11
g(-2)=4(-2)^2+2=18
7 0
3 years ago
Y is inversely proportional to x, when Y = 2, x = 4.
irina [24]

Answer:

Constant of proportionality is y divided by x.  y is 2 and x is 4.  2 divided by 4 is 1/2.

Let me know if that is correct.

Step-by-step explanation:

6 0
3 years ago
Which algebraic expression could NOT represent the phrase below?
skad [1K]

Answer:

B

Step-by-step explanation:

because 4 and 3 are grouped together you would add them first. this would change the outcome of the problem.

6 0
3 years ago
Read 2 more answers
A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while trav
Genrish500 [490]

Answer:

  • 24 km/h

Step-by-step explanation:

  • The speed of the boat  in the lake = x
  • The speed of the current = 3 km/h

<u>Required equation:</u>

  • 54 / (x + 3) + 42 / (x - 3) = 96/x
  • 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
  • 9x² - 27x + 7x² + 21x = 16x² - 144
  • 6x = 144
  • x = 144/6
  • x = 24 km/h

7 0
3 years ago
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