Well we know that 1/2 a gallon (or 0.5 gallons) is equal to 8 cups. So one gallon is 16 cups. (keep this in the back of your mind)
Now to find how many cups she drinks in a day, find out how many gallons she drinks in a week.
So 0.5 (7) = 3.5
Now compute to see how many cups are in 3.5 gallons.
Answer: 56.0001
Understand?
Firstly, let's convert 10x + 2y = -2 to slope-intercept form (y = mx + b):
10x + 2y = -2
2y = -10x - 2
y = -5x - 2/5
The slope is -5. Parallel lines have the same slope; the question provides the y-int (12), so our equation is:
y = -5x + 12
Hope this helps.
Answer:
Step-by-step explanation:
11) Probability of Black is 1/4
12) P of not orange is 3/4
13) P of blue or black is 1/2
this should be pretty easy for you, why is it tough? don't say .. " it just is" say what makes it tough. I'm curious why this is difficult. :?
Answer:
the number of words made = w
the number of tiles not used = t
the points earned from words made = 10w
the points taken away from tiles not used = 3t
(srry if this is wrong but I believe it's correct)
Answer:
So then the probability that the batch would be accepeted is:

Step-by-step explanation:
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:
So then the probability that the batch would be accepeted is:
