I hope this helps you
x^5.y^2.z/x^2.y
x^5-2.y^2-1.z
x^3.y.z
Answer:
25.15 ponds is the weight of two year old baby corresponds to 10th percentile.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 29 pounds
Standard Deviation, σ = 3 pounds
We are given that the distribution of weight of two year old babies is a bell shaped distribution that is a normal distribution.
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
We have to find the value of x such that the probability is 0.10
P(X < x)
Calculation the value from standard normal z table, we have,
![P(z < -1.282) = 0.10](https://tex.z-dn.net/?f=P%28z%20%3C%20-1.282%29%20%3D%200.10)
Thus, 25.15 ponds is the weight of two year old baby corresponds to 10th percentile.
To find the slope of the line we can use the following formula:
![\frac{y.2 - y.1}{x.2 - x.1} = m](https://tex.z-dn.net/?f=%5Cfrac%7By.2%20-%20y.1%7D%7Bx.2%20-%20x.1%7D%20%3D%20m)
1 - (-3)/5 - 1
4 / 4
1
<h3>The slope of the line is equal to 1.</h3>
To find the equation, we can just use slope-intercept form.
We already know the slope, so our current equation is y = x
By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.
Subtract 1 from the x and y values of (1, -3)
(0, -4) is our new point, and so we know the y-intercept is -4.
<h3>Our equation for the line is y = x - 4</h3>