Answer:
p+6
Step-by-step explanation:
The width of the walkway around the pool will be 2 feet.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
Nicole is building a walkway with a width of x feet to go around a swimming pool that measures 11 feet by 7 feet.
Let a be the width of the walkway.
The area of the pool will be
If the total area of the pool and the walkway will be 165 square feet.
Area of pool = (11 + 2a) x (7 + 2a)
165 = 4a² + 36a + 77
4a² + 36a - 88 = 0
a² + 9a - 22 = 0
a² + 11a - 2a - 22 = 0
(a + 11)(a - 2) = 0
a = -11, 2
The width of the walkway around the pool will be 2 feet.
More about the area of the rectangle link is given below.
brainly.com/question/20693059
#SPJ1
The solution is....................
Answer: 0.0475
Step-by-step explanation:
Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.
Given: 
The probability that a given 1-ml will contain more than 100 bacteria will be:
![P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E100%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B100-85%7D%7B9%7D%29%5C%5C%5C%5C%3DP%28Z%3E1.67%29%5C%20%5C%20%5C%20%5C%20%5BZ%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C1.67%29%5C%20%5C%20%5C%20%5BP%28Z%3Ez%29%3D1-P%28Z%3Cz%29%5D%5C%5C%5C%5C%3D1-%200.9525%3D0.0475)
∴The probability that a given 1-ml will contain more than 100 bacteria
0.0475.
