Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
The probability of being 25-35 years and having a haemoglobin level above 11 is 34%.
The probability of having a haemoglobin level above 11 is 36%.
Being 25-35 years and having a hemoglobin level above 11 are not dependent on each other.
<h3>What are the probabilities?
</h3>
Probability determines the odds that a random event would occur. The odds of the event happening lie between 0 and 1.
The probability of being 25-35 years and having a haemoglobin level above 11 = number of people between 25 - 35 that have a level above 11 / total number of people between 25 - 35
44 / 128 = 34%
The probability of having a haemoglobin level above 11 = number of people with a level above 11 / total number of respondents
153 / 429 = 36%
To learn more about probability, please check: brainly.com/question/13234031
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Answer for question 1: B. Because 10 times 1 is 10 kg and is not close to 100
Answer for question 2: B. because it is within the scientific measurement of between 1-10
Answer for question 3: C. Because 24-2 is 22
Answer: x = -3.625 or -29/8
Step-by-step explanation:
7-8x+22
1. -Set it equal to 0.
7-8x+22=0
2. Subtract 7 and 22 from both the left and right sides.
7-8x+22=0
-7 -22 -7 -22
8x = -29
4. Divide both sides by 8.
8x=-29
8 8
x= -3.625
Leave it in fraction form if decimal is unacceptable.
hope this helps.