Answer:
140 zombies
Step-by-step explanation:
Since this is a proportions problem and we are given three values and a variable we must solve for which is the number of zombie soldiers she can raise (z) with 10 dark power crystals. Therefore, we can use the rule of three to solve for this, in which we multiply the diagonal values and divide by the last remaining value in order to solve for the variable like so...
1 crystal <===> 14 zombies
10 crystals <===> Z zombies
(10 * 14) / 1 = 140 zombies
Answer:
61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.
Step-by-step explanation:
Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.
To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?
Solution :
At 95% confidence the z-value is z=1.96
The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes
The population standard deviation is s=12 minutes
n is the number of sample
The formula of margin of error is given by,
![E=\frac{s\times z}{\sqrt{n}}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7Bs%5Ctimes%20z%7D%7B%5Csqrt%7Bn%7D%7D)
Substitute the value in the formula,
![3=\frac{12\times 1.96}{\sqrt{n}}](https://tex.z-dn.net/?f=3%3D%5Cfrac%7B12%5Ctimes%201.96%7D%7B%5Csqrt%7Bn%7D%7D)
![3=\frac{23.52}{\sqrt{n}}](https://tex.z-dn.net/?f=3%3D%5Cfrac%7B23.52%7D%7B%5Csqrt%7Bn%7D%7D)
![\sqrt{n}=\frac{23.52}{3}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%3D%5Cfrac%7B23.52%7D%7B3%7D)
![\sqrt{n}=7.84](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%3D7.84)
Squaring both side,
![n=61.4656](https://tex.z-dn.net/?f=n%3D61.4656)
Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.
Answer:
y(3y - 4)
Step-by-step explanation:
![3y^{2} -4y](https://tex.z-dn.net/?f=3y%5E%7B2%7D%20-4y)
Both have y.
Factor y out of ![3y^{2} -4y](https://tex.z-dn.net/?f=3y%5E%7B2%7D%20-4y)
![y(3y-4)](https://tex.z-dn.net/?f=y%283y-4%29)
Remember x is x and f(x) is same thing as y.
f(5) = 4
It is same thing as saying, when x = 5, y aka f(x) should be 4. Aka the point (5,4)
Let’s look at D, if x =5 then f(x)=5? No, it should equal 4. So this is wrong. It is also not linear. So NOT D
Lets look at C, if x =5 then
1/5(5)+3 =
5/5 + 3 =
1+3 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, but it is not linear. So NOT C
Lets look at B, if x=5 then,
2^5 -28 =
32 - 28 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, AND it is linear SO THE ANSWER IS B
Check A too, it gets y=14 so thats wrong as it is not 4.