Answer:
See the attached image for solutions.
Step-by-step explanation:
X-ray vision to all students ratio:
<u>6:36</u>, which can be simplified to <u>1:6</u>.
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Flight to all students ratio:
<u>8:36</u>, which can be simplified to <u>2:9</u>.
Flight to inivisibility ratio:
<u>8:36</u>, which can be simplified to <u>2:3</u>.
Hope this helps! :)
Let us assume the width of the rectangle = x
Then
The length of the rectangle = 2x
The perimeter of the rectangle = 24 inches
We know the formula of the perimeter of a rectangle is
Perimeter = 2 (length + Breadth)
24 = 2 (2x + x)
24 = 2 * 3x
24 = 6x
x = 24/6
= 4
So the width of the rectangle = 4 inches
length of the rectangle = 2x
= 2 * 4 inches
= 8 inches
Now
The Area of the rectangle = Width * Length
= 4 * 8 inches^2
= 32 inches ^2
So the area of the rectangle is 32 square inches. I hope i have helped you.
Answer:
($0.30,$[2.42])
Step-by-step explanation:
Please, see the attached files.
Thanks.
The outer exponent is 4 so there will be 5 terms all together. By rules of exponents
C(4,0)(3^4)(2^0)(x^8)(y^0) + C(4,1)(3^3)(2^1)(x^6)(y^3) + C(4,2)(3^2)(2^2)(x^4)(y^6) + C(4,3)(3^1)(2^3)(x^2)(y^9) + C(4,4)(3^0)(2^4)(x^0)(y^12)
The coefficient of the 3rd term: C(4,2)(3^2)(2^2) = 6 x 9 x 4 = 216
The worker's expected weekly bonus is $30.0
<h3>How to determine the worker's expected weekly bonus?</h3>
The amounts and the probabilities are given as:
x $10 $50
P(x) 0.75 0.25
The worker's expected weekly bonus is calculated as:

So, we have:
E(x) = $10 * 0.75 + $50 * 0.25
Evaluate the product
E(x) = $17.5 + $12.5
Evaluate the sum
E(x) = $30.0
Hence, the worker's expected weekly bonus is $30.0
Read more about expected values at:
brainly.com/question/15858152
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