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Angelina_Jolie [31]
2 years ago
6

Help me pls 20 POINTS

Mathematics
1 answer:
Tema [17]2 years ago
6 0

Answer:

bottom =80m^2

Side =50m^2

triangle = 3 ×8 ×5

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Let f(x) = x2 − 16. Find f−1(x)
Yanka [14]

Answer:

f^{-1}(x)=\pm\sqrt{x+16}

Step-by-step explanation:

f(x)=x^2-16

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}

Now, you can swap the variables again and write the function.

f^{-1}(x)=\pm\sqrt{x+16}

3 0
2 years ago
If I have a 92,70,41 what's my average grade?
Alexandra [31]

Answer: Around 67%

Step-by-step explanation:

92+70+41=203

203/3=67 2/3

Around 67%

8 0
2 years ago
Read 2 more answers
Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuad
laila [671]

Answer:

17-2.262\frac{1.9}{\sqrt{10}}=15.641    

17+2.262\frac{1.9}{\sqrt{10}}=18.359    

So on this case the 95% confidence interval would be given by (15.641;18.359)    

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

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=17 represent the sample mean

\mu population mean (variable of interest)

s=1.9 represent the sample standard deviation

n=10 represent the sample size  

Confidence interval

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=10-1=9

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: "=-T.INV(0.025,9)".And we see that t_{\alpha/2}=2.262

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

17-2.262\frac{1.9}{\sqrt{10}}=15.641    

17+2.262\frac{1.9}{\sqrt{10}}=18.359    

So on this case the 95% confidence interval would be given by (15.641;18.359)    

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

4 0
3 years ago
Find the least number by which 1470 must be divided to get a number which is the perfect square?
Nutka1998 [239]
1470|2\\.735|5\\.147|3\\.\ 49|7\\.\ \ \ 7|7\\.\ \ 1|\\\\1470=2\times5\times3\times7^2=30\times49\\\\Solution:this\ a\ number\ equal\ 30,\ because\ 1470:30=49=7^2
8 0
3 years ago
When people say 8:15 times 195 equals 15x, what does 15x mean or stand for
wel

It means that 15 times another number equals to your equation.


3 0
3 years ago
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