Answer:
3 3/5 minutes
Step-by-step explanation:
Let one measure of volume be 5/9 of a tank, or (5/9)(tank).
We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.
Write and solve an equation of ratios:
(5/9) (tank) 2 minutes
------------------- = ----------------
(9/9) (tank) x
Solve for x, which represents the number of minutes required to fill the whole tank:
(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3 3/5 minutes)
The whole tank will be filled in 3 3/5 minutes.
X*a = 244 is equation (1)
x+a = 2 is equation (2)
Solve equation (2) for 'a' to get
x+a = 2
a = 2-x
Call this equation (3)
We will plug equation (3) into equation (1)
x*a = 244
x*(a) = 244
x*(2-x) = 244
Notice how the 'a' is replaced with an expression in terms of x
Let's solve for x
x*(2-x) = 244
2x-x^2 = 244
x^2-2x+244 = 0
If we use the discriminant formula, d = b^2 - 4ac, then we find that...
d = b^2 - 4ac
d = (-2)^2 - 4*1*244
d = -972
indicating that there are no real number solutions to the equation x^2-2x+244 = 0
So this means that 'x' and 'a' in those two original equations are non real numbers. If you haven't learned about complex numbers yet, then the answer is simply "no solution". At this point you would stop here.
If you have learned about complex numbers, then the solution set is approximately
{x = 1 + 15.588i, a = 1 - 15.588i}
which can be found through the quadratic formula
Note: it's possible that there's a typo somewhere in the problem that your teacher gave you.
Answer:
a) 
b) P(x>2) = 0.566
c) P(2<x<5) = 0.334
Step-by-step explanation:
Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday
Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24
n = 10
By using Poisson distribution
mean number of make purchases during a sales tax holiday
λ = np = 10 X 0.24 = 2.4
a)
The probability of getting exactly '2'
The probability 
b) The probability of getting more than '2'
= 0.090 + 0.2177+0.261 = 0.566
P(x>2) = 0.566
c) The probability of getting between two and five
P( 2<x<5) = P(x=3)+p(x=4) =
P(2<x<5) = 0.2090 + 0.125 = 0.334
Answer:
39 degrees.
Step-by-step explanation:
We want an angle x such that 0 < x < 360 and angle x is coterminal with an angle of measure 399 degrees.
so x = 399 - 360 = 39 degrees
