She buys 12 bottles of tomato juice bottle contains three-quarter cups of juice
1 answer:
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This can be solved using a system of equations.
Subtract y from both sides.
Substitute:
Subtract 80 from both sides:
Divide both sides by 5:
Substitute.
Subtract y from both sides.
Substitute:
Subtract 80 from both sides:
Divide both sides by 5:
Substitute.
2/3 of 1¾ is simply their product, let's firstly convert the mixed fraction to improper fraction.
Hi there! The answer is A) x = 3 or x = 6
Divide by 2.
Factor.
Use the rule AB = 0 gives A = 0 or B = 0
The answer is A) x = 3 or x = 6
Divide by 2.
Factor.
Use the rule AB = 0 gives A = 0 or B = 0
The answer is A) x = 3 or x = 6
The rocks are chosen without replacement, which means that the hypergeometric distribution is used to solve this question. First we get the parameters, and then we answer the questions. From this, we get that:
- P(X < 6) = 0.9545
- P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
The mean and the variance are:
We have that:
5 + 7 = 12 rocks, which means that
9 are chosen, which means that
7 are granite, which means that
Question a:
Thus:
Question b:
Since there are only 5 specimens of basaltic rock, at least 9 - 5 = 4 specimens of granite are needed, which means that:
In which
Thus
So P(X < 6) = 0.9545.
Question c:
5 of basaltic and 4 of granite: 0.1591 probability.
7 of granite is P(X = 7), in which
0.1591 + 0.0455 = 0.2046, thus:
P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.
A similar question is found at brainly.com/question/24008577