The part of the quadratic formula that dictates whether the function is factorable or not is B. b^2 - 4ac. This determines the number of real, imaginary, negative and positive roots.
In the equation <span>2x^2 + 7x + 3,
we use the quadratic formula
x = -b +- sqrt (b2 -4ac) /2a = -7 +- </span><span>sqrt (49 -24) /4
the answers are x1 =-0.5 and x2 = -3.</span>
Answer:
a.) Probability = 1/5
b.) 10 soda
Step-by-step explanation:
Probability is a game of chance.
The initial chance = 1/12
If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5
Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,
Probability > 1/2
You would have to buy (12 - 2) soda. Which is equal to 10.
Answer:

Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
solve for t

Answer:
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Step-by-step explanation:
We use the central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a sample size larger than 30 can be approximated to a normal distribution with mean
and standard deviation 
So
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Answer:
the answer is 10,000^10
Step-by-step explanation: