Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone.
2 answers:
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Answer:
standard form of given equation is 5x - 8y = -3
Step-by-step explanation:
Standard form of linear equation is Ax + By = C
First we remove the denominator 8
We multiply the whole equation by 8
So equation becomes
8y = 5x + 3
Now we move 5x to the left hand side, we subtract 5x on both sides
-5x + 8y = 3
Now we remove the negative side from -5x by dividing the whole equation by -1
5x - 8y = -3
Answer:
0.1732 = 17.32% probability exactly 24 residents own a home.
Step-by-step explanation:
For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
78% of residents in Summerville own a home.
This means that
30 residents are randomly selected:
This means that
Find the probability exactly 24 residents own a home.
This is P(X = 24).
0.1732 = 17.32% probability exactly 24 residents own a home.
Answer:
So then after 2 hours we will have 32 grams.
Step-by-step explanation:
For this case we have the followin exponential model:
n(t) is the quantity after t hours, n is the original quantityand t represent the hours and r the rate constant.
For this case we know that n(0) = 2 grams and n(3) = 128 grams and we want to find n(2)=?
From the initial condition we know that n = 2, and we have the model like this:
Now if we apply the other conditionn(3) = 128 we got:
If we divide both sides by 2 we got:
If we apply natural log for both sides we got:
And our model is this one:
And if we replace t = 2 hours we got:
So then after 2 hours we will have 32 grams.