The integer number that represents the changing in his account balance from beginning to end is of -20.
<h3>Which numbers belong to the set of integer numbers?</h3>
Non-decimal numbers, either positive or negative numbers, also zero, belong to the set, which can be represented by:
Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}
A change can be represented by the <u>final value subtracted by the initial value</u>. For this problem, we have that:
- The initial balance is of $20.
- The final balance is of $0.
Hence the change in the balance is:
0 - 20 = -20.
And the integer is -20.
More can be learned about integer numbers are brainly.com/question/17405059
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Answer:
1. 3/4
2. 1/2
3. 7/12
4. 2/3
5. 1/12
6. 1/2
7. 39/8
8. 59/10
Step-by-step explanation:
Answer:
2239
Step-by-step explanation:
Given-
Percent of peopl polling yes to the question "Are you in favor of the death penalty for a person convicted of murder?"
%
Margin error in the poll
%
Confidence Interval
%
The alpha value is ![1 -0.95 =0.05](https://tex.z-dn.net/?f=1%20-0.95%20%3D0.05)
The
for Confidence Interval of
% ![= 0.196](https://tex.z-dn.net/?f=%3D%200.196)
The sample size is given by
![n = p*q*(\frac{z}{e} )^2](https://tex.z-dn.net/?f=n%20%3D%20p%2Aq%2A%28%5Cfrac%7Bz%7D%7Be%7D%20%29%5E2)
Where,
![p = \frac{37}{100} = 0.37 q = 100-0.37 = 0.63 e =2/100 = 0.02 z = 1.96 (critical value)n = p*q*(\frac{z}{e} )^2 = 0.37 * 0.63(\frac{1.96}{0.02} )^2 \\n = 2238.69\\n= 2239](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B37%7D%7B100%7D%20%20%3D%200.37%20q%20%3D%20100-0.37%20%3D%200.63%20e%20%3D2%2F100%20%3D%200.02%20z%20%3D%201.96%20%28critical%20value%29n%20%3D%20p%2Aq%2A%28%5Cfrac%7Bz%7D%7Be%7D%20%29%5E2%20%3D%200.37%20%2A%200.63%28%5Cfrac%7B1.96%7D%7B0.02%7D%20%29%5E2%20%5C%5Cn%20%3D%202238.69%5C%5Cn%3D%202239)
We can subdivide the figure in 3 rectangles A, B, and C, then we can find the area of each rectangle and add all the areas together to find the total area of the picture.
![A_{A}=(20)(13)=260](https://tex.z-dn.net/?f=A_%7BA%7D%3D%2820%29%2813%29%3D260)
![A_{B}=(16)(5)=80](https://tex.z-dn.net/?f=A_%7BB%7D%3D%2816%29%285%29%3D80)
![A_{C}=(3)(13)=39](https://tex.z-dn.net/?f=A_%7BC%7D%3D%283%29%2813%29%3D39)
![A_{total}=260+80+39=379](https://tex.z-dn.net/?f=A_%7Btotal%7D%3D260%2B80%2B39%3D379)
We can conclude that the area of the figure is 379 square units.
Answer:
D
Step-by-step explanation:
You don't need any real math to guess at the right answer.
Choice A requires at least 33+32+32=97 feet of fence, hence you an rule it out because that is more fence than you have.
Choice B requires at least 16+16+16=48 feet, hence you can rule it out because it does not use all your fence and you can get more area by using it all.
Choice C requires at least 48+16+16=80 feet of fence, which is more than you have.
Choice D requires at least 32+16+16=64 feet of fence, so this is the right choice.