Answer:
Step-by-step explanation:
Since, box contains two layers of cubes and each layer has 15 cubes.
So, length = 15*1/2 in = 7.5 in,
width = 3*1/2 in = 1.5 in
height = (1/2 + 1/2) = 1 inch
Volume of box = lbh
= 7.5* 1.5 *1
= 11.25 cubic inches
How do you graph this equation -2/3y= -6
1 answer:
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Answer:
Seven-thirds
Step-by-step explanation:
The give equation is .
The leading coefficient is 9
The constant term is 7
According to the rational root theorem, the ratio of factors the constant terms to that of the coefficient of the leading term are all possible rational roots of the given polynomial.
Base on this theorem, or seven thirds is a potential root because the numeration is a factor of 7 and the denominator is a factor of 9.
Answer:
0.1733 = 17.33% probability the first stack was selected.
Step-by-step explanation:
To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
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.
Conditional probability:
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
Probability of all red cards for the first stack:
For this, we use the hypergeometric distribution, as the cards all chosen without replacement.
7 + 4 = 11 cards, which means that .
7 red, which means that
3 are chosen, which means that
We want all red, so we find P(X = 3).
Conditional probability:
Event A: All red
Event B: From the first stack.
Probability of all red cards:
0.2121 of 50%(first stack)
1 of 50%(second stack). So
Probability of all red cards and from the first stack:
0.21 of 0.5. So
What is the probability the first stack was selected?
0.1733 = 17.33% probability the first stack was selected.