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.
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Answer:I think the answer is c
Step-by-step explanation:
Answer:
its 84!
Step-by-step explanation:
volume of a rectangular prism is length * width * height, since the shape is 3D, or multi-demensional. you take all three numbers and multiply them together :) in this case its 7, 3, and 4. 4 * 3 is 12, and 12 * 7 is 84 :)
Answer:
50
Step-by-step explanation:
53.042 -3.350 = 49.692---> 50
Answer:
![\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cboxed%7B8%5Bx%20%2B%202%5D%5Bx%5E2%20-%202x%20%2B%204%5D%7D)
Step-by-step explanation:
Use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] to figure this out:
![\displaystyle 8x^3 + 64 \\ 8[x^3 + 8] \\ \\ x + 2 = \sqrt[3]{x^3 + 8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%208x%5E3%20%2B%2064%20%5C%5C%208%5Bx%5E3%20%2B%208%5D%20%5C%5C%20%5C%5C%20x%20%2B%202%20%3D%20%5Csqrt%5B3%5D%7Bx%5E3%20%2B%208%7D)
Then, since the divisor\factor is in the form of <em>x - c</em>, use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
−2| 1 0 0 8
↓ −2 4 −8
___________
1 −2 4 0 → 
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x³ + 8]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², the −2x follows right behind it, then 4, giving you the other factor of
, attaching this to the first two factors you started out your work on:
![\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cboxed%7B8%5Bx%20%2B%202%5D%5Bx%5E2%20-%202x%20%2B%204%5D%7D)
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