Increase.
1/4 can be translated to 25%
1/2 can be translated to 50%
25% to 50% is an increase.
If the value of the z-score is 1. Then the probability that a cat will weigh less than 11 pounds will be 0.84134.
<h3>What is the z-score?</h3>
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds.
Then the probability that a cat will weigh less than 11 pounds will be
The value of z-score will be
z = (11 – 9) / 2
z = 1
Then the probability will be
P(x < 11) = P(z < 1)
P(x < 11) = 0.84134
Thus, the probability that a cat will weigh less than 11 pounds will be 0.84134.
More about the z-score link is given below.
brainly.com/question/15016913
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Step-by-step explanation:
Total area of merged figure = area of vertical rectangle + area of horizontal rectangle.
![\therefore \: 3x(2x - 7) + (3x + 4)x = 85 \\ \\ \therefore \: 6 {x}^{2} - 21x+ 3 {x}^{2} + 4x = 85 \\ \\ \therefore \: 6 {x}^{2} + 3 {x}^{2} - 21x + 4x - 85 = 0 \\ \\ \huge \red {\boxed {\therefore \: 9 {x}^{2} - 17x - 85 = 0}} \\ hence \: proved.](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%203x%282x%20-%207%29%20%2B%20%283x%20%2B%204%29x%20%3D%2085%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%206%20%7Bx%7D%5E%7B2%7D%20%20-%2021x%2B%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%3D%2085%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%206%20%7Bx%7D%5E%7B2%7D%20%20%2B%203%20%7Bx%7D%5E%7B2%7D%20-%2021x%20%2B%204x%20%20-%2085%20%3D%200%20%5C%5C%20%20%5C%5C%20%5Chuge%20%5Cred%20%7B%5Cboxed%20%7B%5Ctherefore%20%5C%3A%209%20%7Bx%7D%5E%7B2%7D%20%20-%2017x%20%20-%2085%20%3D%200%7D%7D%20%5C%5C%20hence%20%5C%3A%20proved.)
Answer:
The answer to the problem is 3 1/2