Answer:
You just multiply by 5. the 1st one will be 15.
1:15
2:35
3:100
4:2.5
5a:1 to 6 or 1:6
5b: I have no idea what this one is sorry.
Answer:
C) In step 3, he should have determined which square is closest to 18.
Step-by-step explanation:
17.64 also rounds to 18. 17.64 differs from 18 by ...
18 -17.64 = 0.36
whereas 18.49 differs from 18 by ...
18.49 -18 = 0.49
Hence 17.64 is closer to 18 and we might expect 4.2 to be closer to √18 than is 4.3.
___
The actual root of 18 is about 4.243, so 4.2 is a better approximation.
Answer:
We can say at 99% confidence that the true mean is between (91.674;98.326)
Step-by-step explanation:
Data given
represent the sample mean
population mean (variable of interest)
s=6.6 represent the sample standard deviation
n=30 represent the sample size
The confidence interval for the mean is given by the following formula:
(1)
We need to find the critical value
and we need to find first the degrees of freedom, given by:
Since the Confidence is 0.99 or 99%, the value of
and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,29)".And we see that
And replacing we got:
We can say at 99% confidence that the true mean is between (91.674;98.326)
The choices are missing, but we can find the right answer by using the given function
The inverse of
is
Step-by-step explanation:
Let us revise the steps of finding the inverse of a function
- Write the function in the form of y = f(x)
- Switch x and y
- Solve to find the new y
∵ ![y=2^{3x}+ 1](https://tex.z-dn.net/?f=y%3D2%5E%7B3x%7D%2B%201)
- Switch x and y
∴ ![x=2^{3y}+1](https://tex.z-dn.net/?f=x%3D2%5E%7B3y%7D%2B1)
- Subtract 1 fro both sides
∴ ![x-1=2^{3y}](https://tex.z-dn.net/?f=x-1%3D2%5E%7B3y%7D)
- Insert ㏒ in both sides
∴ ![log(x-1)=log(2^{3y})](https://tex.z-dn.net/?f=log%28x-1%29%3Dlog%282%5E%7B3y%7D%29)
- Remember ![log(a^{n})=n.log(a)](https://tex.z-dn.net/?f=log%28a%5E%7Bn%7D%29%3Dn.log%28a%29)
∵ ![log(2^{3y})=(3y).log(2)](https://tex.z-dn.net/?f=log%282%5E%7B3y%7D%29%3D%283y%29.log%282%29)
∴ ![log(x-1)=(3y).log(2)](https://tex.z-dn.net/?f=log%28x-1%29%3D%283y%29.log%282%29)
- Divide both sides by ㏒(2)
∴ ![\frac{log(x-1)}{log(2)}=3y](https://tex.z-dn.net/?f=%5Cfrac%7Blog%28x-1%29%7D%7Blog%282%29%7D%3D3y)
- Divide both sides by 3
∴ ![\frac{1}{3}[\frac{log(x-1)}{log(2)}]=y](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5B%5Cfrac%7Blog%28x-1%29%7D%7Blog%282%29%7D%5D%3Dy)
- Switch the two sides
∴ ![y=\frac{1}{3}[\frac{log(x-1)}{log(2)}]](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%5B%5Cfrac%7Blog%28x-1%29%7D%7Blog%282%29%7D%5D)
The inverse of
is
Learn more:
You can learn more about the logarithmic function in brainly.com/question/11921476
#LearnwithBrainly
33
7 girls wore mask so 7
15-9 is how many boys wore mask so 6
7+6= 13
20+ 13 is 33