Y- intercept is a point where any graph crosses the y- axis.
X- intercept is a point where any graph crosses the x- axis.
This means the coordinate of the point of intersection will always have the x point as 0. So any point of the form ( 0, y) is the y- intercept. Any point of the form (x,0) is the x- intercept.
Given point are :
(0,-6) : y intercept
(-2,0) : x intercept
(-6,0): x- intercept
(0,-2): y- intercept
Answer:
Step-by-step explanation:
It is given that the regression equation

predicts an adult’s height (y) given the individual’s mother’s height (x1), his or her father’s height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0).
The coefficient of x1 = 0.32 represents the increase in height of the child due to one inch increase in mother.
Similarly coefficient of x2 = 0.42 represents the increase in height of the child due to one inch increase in father.
and coefficient of x3 = 5.31 represents the increase in height of the child due to being a male than a female.
Answer:
The probability is found:
P = 24/3024 = 1/126
Step-by-step explanation:
To find total number of outcomes, we have to find permutation of 9 things taken 4 at a time:
P(9,4) = 9! / (9-3)!
P(9,4) =362880/120
P(9,4) = 3024
Number of even numbers from 0 to 9 = 4
To find desirable number of outcome, find permutation of 4 things taken 4 at a time.
P(4,4) = 4! / (4-4)!
P(4,4) = 24/1
P(4,4) = 24
The probability that the lock consists of all even digits is
P = No. of desirable outcomes / No. of total outcomes
P = 24/3024
Answer: The value of x- 2y is a.
.
Step-by-step explanation:
Given: x and y are two positive real numbers such that
and
.
Consider ![(x-2y)^2=x^2-2(x)(2y)+(2y)^2\ \ \ [(a+b)^2=(a^2-2ab+b^2)]](https://tex.z-dn.net/?f=%28x-2y%29%5E2%3Dx%5E2-2%28x%29%282y%29%2B%282y%29%5E2%5C%20%5C%20%5C%20%5B%28a%2Bb%29%5E2%3D%28a%5E2-2ab%2Bb%5E2%29%5D)


Put
and
, we get


Taking square root on both sides , we get'

Hence, the value of x- 2y is a.
.