<span>the biggest pssoble number when you move the match would be : 5 11 8 11
In order to do this see the top and bottom part of the number 0 of the matches.
Then, remove bot the top and bottom part of the 0, and place it behind the number 8 and voila , the number change from hundreds into hundreds of thousandHope this helps. Let me know if you need additional help!</span>
we know that
the perimeter of the rectangle is equal to
![P=2W+2L](https://tex.z-dn.net/?f=%20P%3D2W%2B2L%20)
where
P is the perimeter of the rectangle
W is the width of the rectangle
L s the length of the rectangle
In this problem
![P=146\ units \\ W=2x\\ L=3x+3](https://tex.z-dn.net/?f=%20P%3D146%5C%20units%20%5C%5C%20W%3D2x%5C%5C%20L%3D3x%2B3%20)
Substitute the values in the formula above
![P=2W+2L\\ 146=2*(2x)+2*(3x+3)\\ 73=2x+3x+3\\ 5x=70\\ x=14\ units](https://tex.z-dn.net/?f=%20P%3D2W%2B2L%5C%5C%20146%3D2%2A%282x%29%2B2%2A%283x%2B3%29%5C%5C%2073%3D2x%2B3x%2B3%5C%5C%205x%3D70%5C%5C%20x%3D14%5C%20units%20%20)
![W=2x=2*14=28\ units\\ L=3x+3=3*14+3=45\ units](https://tex.z-dn.net/?f=%20W%3D2x%3D2%2A14%3D28%5C%20units%5C%5C%20L%3D3x%2B3%3D3%2A14%2B3%3D45%5C%20units%20)
therefore
the answer is
the length of the longer side of the rectangle is equal to ![45\ units](https://tex.z-dn.net/?f=%2045%5C%20units%20)
Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
16 - (-3) = 19
16 + (-3) = 13
The sum of the two factors is 13
Answer:
For this case we want to determine if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than .66 (a;ternative hypothesis) and then the system of hypothesis are:
Null hypothesis: ![p \leq 0.66](https://tex.z-dn.net/?f=%20p%20%5Cleq%200.66%20)
Alternative hypothesis: ![p >0.66](https://tex.z-dn.net/?f=%20p%20%3E0.66)
And the estimated proportion for this case would be:
![\hat p =\frac{X}{n} = \frac{1020}{1500}=0.68](https://tex.z-dn.net/?f=%20%5Chat%20p%20%3D%5Cfrac%7BX%7D%7Bn%7D%20%3D%20%5Cfrac%7B1020%7D%7B1500%7D%3D0.68)
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to determine if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than .66 (a;ternative hypothesis) and then the system of hypothesis are:
Null hypothesis: ![p \leq 0.66](https://tex.z-dn.net/?f=%20p%20%5Cleq%200.66%20)
Alternative hypothesis: ![p >0.66](https://tex.z-dn.net/?f=%20p%20%3E0.66)
And the estimated proportion for this case would be:
![\hat p =\frac{X}{n} = \frac{1020}{1500}=0.68](https://tex.z-dn.net/?f=%20%5Chat%20p%20%3D%5Cfrac%7BX%7D%7Bn%7D%20%3D%20%5Cfrac%7B1020%7D%7B1500%7D%3D0.68)
Answer:
1 - sin² θ = 1 - ( 1 - cos² θ) = cos² θ
tan x csc x = (sin x / cos x) * 1 / sin x = cos x
Step-by-step explanation:
1 - sin² θ = 1 - ( 1 - cos² θ) = cos² θ
tan x csc x = (sin x / cos x) * 1 / sin x = cos x