here the equation of path is -2x-7=y
let us find slope of this line by using y=mx+b
so slope m=-2
now new path is perpendicular to this path.
product of slopes of perpendiculars is -1
so slope of new path is 1/2
now it passes through (-2,-3) with slope 1/2
using y=mx+b to get value of b
-3=1/2(-2) +b
b=-2
plugging m=-1/2 and b=-2 in y=mx + b to get the final equation as
y=(-1/2) x -2 is the equation of new path
Easy here
(4x800)+(4x70)+(4x5)
-73 ≥ 15 + 11x
so the first thing you should do is to add -15 on both sides of the equation so you will have:
-73 -15 ≥ 11x
- 88 ≥ 11x
so the answer is:
-88/11 ≥ x or -8 ≥ x :)))
i hope this is helpful
have a nice day
Answer:
-3x-y=10
Step-by-step explanation:
y+4=-3(x+2)
y+4=-3x-6
y=-3x-6-4
y=-3x-10
-3x-y=10
Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with
= 62.5 in
= 2.2 in
the normal probability density function is given by
, then
(a)
= 0.5899
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking
where n = 37.
is normally distributed with mean 62.5 in and standard deviation
. So, the probability density function is given by
, and
= 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.