Answer:
just do 21/25
Step-by-step explanation:
Answer: ![60x^3y^5](https://tex.z-dn.net/?f=60x%5E3y%5E5)
Step-by-step explanation:
Least Common Multiple :The least positive number that is a multiple of two or more numbers.
To find : The least common multiple of:
and ![15x^2y^5.](https://tex.z-dn.net/?f=15x%5E2y%5E5.)
Since, ![12x^3y^2=2\times2\times3\times x^3y^2](https://tex.z-dn.net/?f=12x%5E3y%5E2%3D2%5Ctimes2%5Ctimes3%5Ctimes%20x%5E3y%5E2)
![15x^2y^5=3\times5\times x^2y^5](https://tex.z-dn.net/?f=15x%5E2y%5E5%3D3%5Ctimes5%5Ctimes%20x%5E2y%5E5)
The least common multiple of:
and
=
[take highest power of x and y ]
Hence, the least common multiple of:
and
= ![60x^3y^5](https://tex.z-dn.net/?f=60x%5E3y%5E5)
<span>2.8 is the answer for that question</span>
Answer:
(a) 283 days
(b) 248 days
Step-by-step explanation:
The complete question is:
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 268 days and a standard deviation of 12 days. (a) What is the minimum pregnancy length that can be in the top 11% of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths?
Solution:
The random variable <em>X</em> can be defined as the pregnancy length in days.
Then, from the provided information
.
(a)
The minimum pregnancy length that can be in the top 11% of pregnancy lengths implies that:
P (X > x) = 0.11
⇒ P (Z > z) = 0.11
⇒ <em>z</em> = 1.23
Compute the value of <em>x</em> as follows:
![z=\frac{x-\mu}{\sigma}\\\\1.23=\frac{x-268}{12}\\\\x=268+(12\times 1.23)\\\\x=282.76\\\\x\approx 283](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C%5C%5C1.23%3D%5Cfrac%7Bx-268%7D%7B12%7D%5C%5C%5C%5Cx%3D268%2B%2812%5Ctimes%201.23%29%5C%5C%5C%5Cx%3D282.76%5C%5C%5C%5Cx%5Capprox%20283)
Thus, the minimum pregnancy length that can be in the top 11% of pregnancy lengths is 283 days.
(b)
The maximum pregnancy length that can be in the bottom 5% of pregnancy lengths implies that:
P (X < x) = 0.05
⇒ P (Z < z) = 0.05
⇒ <em>z</em> = -1.645
Compute the value of <em>x</em> as follows:
![z=\frac{x-\mu}{\sigma}\\\\-1.645=\frac{x-268}{12}\\\\x=268-(12\times 1.645)\\\\x=248.26\\\\x\approx 248](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C%5C%5C-1.645%3D%5Cfrac%7Bx-268%7D%7B12%7D%5C%5C%5C%5Cx%3D268-%2812%5Ctimes%201.645%29%5C%5C%5C%5Cx%3D248.26%5C%5C%5C%5Cx%5Capprox%20248)
Thus, the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths is 248 days.
Answer:
4. 7 1/2 is Answer
Step-by-step explanation:
I hope it's helpful!