The area of poster is 32 square inches
<em><u>Solution:</u></em>
Let "a" be the length of rectangle
Let "b" be the width of rectangle
<em><u>The length of Joseph’s rectangular poster is two times it’s width</u></em>
Therefore,
Length = 2 times width
a = 2b --------- eqn 1
The perimeter is 24 inches
<em><u>The perimeter of rectangle is given by formula:</u></em>
![Perimeter = 2(length+width)](https://tex.z-dn.net/?f=Perimeter%20%3D%202%28length%2Bwidth%29)
<em><u>Substituting the given values we get,</u></em>
![24 = 2(2b + b)\\\\24 = 2(3b)\\\\\text{Divide both sides of equation by 2 }\\\\12 = 3b\\\\\text{Divide both sides of equation by 3}\\\\b = 4](https://tex.z-dn.net/?f=24%20%3D%202%282b%20%2B%20b%29%5C%5C%5C%5C24%20%3D%202%283b%29%5C%5C%5C%5C%5Ctext%7BDivide%20both%20sides%20of%20equation%20by%202%20%7D%5C%5C%5C%5C12%20%3D%203b%5C%5C%5C%5C%5Ctext%7BDivide%20both%20sides%20of%20equation%20by%203%7D%5C%5C%5C%5Cb%20%3D%204)
Substitute b = 4 in eqn 1
a = 2(4)
a = 8
Thus we got,
Length = 8 inches
Width = 4 inches
<em><u>The area of rectangle is given by formula:</u></em>
![Area = length \times width\\\\Area = 8 \times 4\\\\Area = 32](https://tex.z-dn.net/?f=Area%20%3D%20length%20%5Ctimes%20width%5C%5C%5C%5CArea%20%3D%208%20%5Ctimes%204%5C%5C%5C%5CArea%20%3D%2032)
Thus area of poster is 32 square inches
Answer:
p-e< p < p+e
(0.061 - 0.025) < 0.061 < (0.061 + 0.025)
0.036 < 0.061 < 0.086
Step-by-step explanation:
Given;
Confidence interval CI = (a,b) = (0.036, 0.086)
Lower bound a = 0.036
Upper bound b = 0.086
To express in the form;
p-e< p < p+e
Where;
p = mean Proportion
and
e = margin of error
The mean p =( lower bound + higher bound)/2
p = (a+b)/2
Substituting the values;
p = (0.036+0.086)/2
Mean Proportion p = 0.061
The margin of error e = (b-a)/2
Substituting the given values;
e = (0.086-0.036)/2
e = 0.025
Re-writing in the stated form, with p = 0.061 and e = 0.025
p-e< p < p+e
(0.061 - 0.025) < 0.061 < (0.061 + 0.025)
0.036 < 0.061 < 0.086
Answer:
1.5 meters
Step-by-step explanation:
If she is already below sea level by 1 meter and she goes down .5 meters more, she would be 1.5 meters below the sea level.
Answer:
a = 16
b = 10
In the equation from the question there's no value that you can determine for c.
Step-by-step explanation:
- (4x)(3z+y)+2x(3y+2z)=axz+bxy
- 12xz+4xy+6xy+4xz
- 16xz+10xy
Answer: 46
Step-by-step explanation:
percentage scored = 92
number of correct question = x
total number of questions = 50
The formula for calculating the percentage scored
= number of correct question / total number of questions x 100
That is
92 =
x ![\frac{100}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B1%7D)
![92 = \frac{100x}{50}](https://tex.z-dn.net/?f=92%20%3D%20%5Cfrac%7B100x%7D%7B50%7D)
cross multiplying :
x ![50](https://tex.z-dn.net/?f=50)
![100x = 4600](https://tex.z-dn.net/?f=100x%20%3D%204600)
dividing through by 100 , we have
![x = 46](https://tex.z-dn.net/?f=x%20%3D%2046)
Therefore, she got 46 questions right