Remember that the radicand (the area under the root sign) must be positive or zero for a radical with an even index (like the square root or fourth root, for example). This is because two numbers squared or to the fourth power, etc. cannot be negative, so there are no real solutions when the radicand is negative. We must restrict the domain of the square-root function.
If the domain has already been restricted to
, we can work backwards to add 11 to both sides. We see that
must be under the radicand, so the answer is
A.
Two equations with infinite solutions would look the exact same. Example:
y=mx+b
y=mx+b
Example 2
y=2x+5
y=2x+5
For an equation with no solution they would have the same slope but different y intercepts. An equation with same slope and same y intercepts would have infinite solutions.
#3 is correct at 120.4
#4 is 15/8...because 3/4+3/4=6/4 (for 20 doors) plus 3/8 (which is half of 3/4 for 5 more doors) equals 15/8 gallons or 1.875 gallons
#5 is $812.50 because if 50 shares cost $125, 325 shares (125×6.5) equals 812.50
Answer:
0.336 or 33.6%
Step-by-step explanation:
It follows from the question that the probability of a complaint is 35% = 35/100 = 0.35. Let's call this probability, p.
The probability of no complaint is mutually exclusive of p since both are complements. Let's call this q. Then
q = 1 - p = 1 - 0.35 = 0.65
The distribution is a binomial distribution.
Events of each call are independent.
The probability of 2 calls with complaint out of 5 is