Answer:
x=29
Step-by-step explanation:
3x-13=74
We want to solve for x, so we need to isolate it.
The first step is to add 13 to each side.
3x-13+13=74+13
3x = 87
Then we divide by 3 on each side
3x/3 = 87/3
x= 29
Answer:
The minimum sample size required to create the specified confidence interval is 2229.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.99}{2} = 0.005](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.99%7D%7B2%7D%20%3D%200.005)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 2.575](https://tex.z-dn.net/?f=z%20%3D%202.575)
Now, find the margin of error M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
What is the minimum sample size required to create the specified confidence interval
This is n when ![M = 0.06, \sigma = 1.1](https://tex.z-dn.net/?f=M%20%3D%200.06%2C%20%5Csigma%20%3D%201.1)
![0.06 = 2.575*\frac{1.1}{\sqrt{n}}](https://tex.z-dn.net/?f=0.06%20%3D%202.575%2A%5Cfrac%7B1.1%7D%7B%5Csqrt%7Bn%7D%7D)
![0.06\sqrt{n} = 2.575*1.1](https://tex.z-dn.net/?f=0.06%5Csqrt%7Bn%7D%20%3D%202.575%2A1.1)
![\sqrt{n} = \frac{2.575*1.1}{0.06}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B2.575%2A1.1%7D%7B0.06%7D)
![(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B2.575%2A1.1%7D%7B0.06%7D%29%5E%7B2%7D)
![n = 2228.6](https://tex.z-dn.net/?f=n%20%3D%202228.6)
Rounding up
The minimum sample size required to create the specified confidence interval is 2229.
Answer:
20
The strawberry is 3, The watermelon is 3, The peach is 9, and the other one is 5
3+3+9+5=20
Answer:
f(x) = 1/2x
Step-by-step explanation:
When x = -4 the output is -2
We are dividing by 2
When x = -2 the output is -1
f(x) = 1/2 x
Check when x = 2
f(2) = 1/2 (2) =1
Answer:
B. 200 doses
Step-by-step explanation:
Given,
1 dose is required for 100 mg,
Since, 1 mg = 0.001 g,
⇒ 100 mg = 0.1 g
⇒ 1 dost is required for 0.1 g,
Thus, the ratio of doses and quantity ( in gram ) is ![\frac{1}{0.1}=10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B0.1%7D%3D10)
Let x be the doses required for 20 grams,
So, the ratio of doses and quantity is ![\frac{x}{20}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B20%7D)
![\implies \frac{x}{20}=10](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7Bx%7D%7B20%7D%3D10)
![\implies x=200](https://tex.z-dn.net/?f=%5Cimplies%20x%3D200)
Hence, 200 doses can be obtained from 20 grams of the drug.
Option 'B' is correct.