Answer:
Step-by-step explanation:
10+6 = 16
A is correct answer
Answer:
(a) 13 ounces.
(b) 1.732 ounces.
(c) 0.5
(d) 0.33
Step-by-step explanation:
Given : The amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces. So, a=10 and b=16.
(a) The average amount of water dispensed by the machine = (a+b)/2 = (10+16)/2 = 13 ounces.
(b) The standard deviation of the amount of water dispensed =
= √36/12 =√3 = 1.732 ounces.
(c) P (13 or more ounces will be dispensed in a given glass) =
=
= 0.5
(d) P (between 12 and 14 ounces will be dispensed in a given glass) = ( here a=12 and b=14.)
=
= 0.33
Answer: The plane travel approximately 806 miles.
Step-by-step explanation:
Given: Johnny is in Nebraska and needs to go to Texas, which is about 700 miles due south. From there, he will head east to Louisiana, about 400 miles from where he arrived in Texas.
So while he is traveling, a plane takes off from Nebraska and flies to Louisiana , it will make a right triangle such that the distance he travel from Nebraska to Louisiana will become hypotenuse of the triangle.
Let H be the distance plane travel from Nebraska to Louisiana
By Pythagoras theorem, we have

Hence, The plane travel approximately 806 miles.
Answer:x=6
Step-by-step explanation:g o h is a composition function
First we find g o h
g o h is g(h(x))
We plug in h(x) in g(x)
We replace x with 2x-8 in g(x)
To find domain we look at the domain of h(x) first
Domain of h(x) is set of all real numbers
now we look at the domain of g(h(x))
Negative number inside the square root is imaginary. so we ignore negative number inside the square root
So to find domain we set 2x - 12 >=0 and solve for x
2x - 12 >=0
add both sides by 12
2x >= 12
divide both sides by 2
x > = 6