Hi there!
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I believe your answer is:

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Here’s why:
- We are supposed to rewrite a radical expression as an expression with fraction exponents.
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The rule for a fraction exponent is:
![a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7By%7D%7D%3D%5Csqrt%5By%5D%7Ba%5Ex%7D%5C%5C%5C%5C%5C%5C%5Chuge%5Cboxed%7B%5Cfrac%7B%5Ctext%7BPower%7D%7D%7B%5Ctext%7BRoot%7D%7D%7D)
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We are given the expression of
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![\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BRewriting%20the%20expression%3A%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7By%5E2%7D%5C%5C%5C%5C%5Ctext%7BThe%20%273%27%20is%20the%20root%20and%20the%20%272%27%20is%20the%20power.%7D%5C%5C%5C%5C%5Crightarrow%20%5Csqrt%5B3%5D%7By%5E2%7D%20%5C%5C%5C%5C%5Crightarrow%20%7By%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
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Hope this helps you. I apologize if it’s incorrect.
P(allergic) = 0.15
P(both are allergic to pollen) = (0.15)² = 0.0225 (you can use the binomial probability also)
Q(NOT allergic to pollen) = 1 - 0.0225 = 0.9775
Binomial probability
Probability of NEITHER is allergic
ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ
²C₀(0.15)⁰(0.9775)² = 0.9555
P(at LEAST ONE is allergic) = 1- 0.9555 = 0.0444
Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area =
× Base × Height
Plugging values in formula, we get
20 = 




Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>