9514 1404 393
Answer:
(a), (b), (c) are non-proportional
(d) is proportional
Step-by-step explanation:
An equation or graph with a non-zero y-intercept is non-proportional. That is true for (a), (b), (c).
The table of (d) is proportional, with a constant of proportionality of 6.5.
__
<em>Comment on (c)</em>
In a proportional relation, price would go up with quantity, not down. If the prices both end in 9, one cannot be double the other, as would be required for the price of a gallon to be proportional to the price of a half-gallon.
Answer:
1) 8/15
Step-by-step explanation:
When dividing by a number, multiply by its reciprocal.
2/5 ÷ 3/4
2/5 × 4/3
8/15
Constant because of the fact that it has a zero slope, so it will never decrease nor decrease.
6 units (or whatever you’re measuring in)
Each little square represents 1 unit.
Answer:
The distribution is
b) skewed.
The sum of the probabilities is:
1
Step-by-step explanation:
In a binomial distribution, p represents the probability of success. Success in the sense that the event of interest happens. In the model presented, the probability of success p is 0.4 since we are informed that 40% of adults watch a particular television show.
The next quantity of significance in a binomial model is the number of independent trials, n. In our case there are 6 independent trials since we are told that 6 adults were selected at random. If we let the random variable K denote the number of adults out of the 6 who watch the television show, then K is a binomial random variable with parameters;
n = 6 and p = 0.4
A binomial distribution is only symmetric when either p is 0.5 or n is large. In the presented scenario none of this conditions is met since p is 0.4 while n is just 6 which is relatively small. Thus we conclude that the distribution is not symmetric but rather skewed.
The sum of the probabilities is any discrete probability distribution such as the bernoulli, binomial, negative binomial, poisson, or the geometric distribution is always equal to 1. That's a rule of thumb.
