Answer:
The Possible model is binomial distribution model.
Step-by-step explanation:
The argument that both students cheated in the exam can be proved by a hypothesis that both the students got the same answers incorrectly.
The same incorrect answers prove that both students have cheated on the test.
Therefore the sample of incorrect answers is, n = 8
Thus, the success probability, P = 0.25
Since the given condition has only two outcomes that are choosing the same answer or not choosing the same answer. Thus, this can be solved by the binomial distribution model.
So, binomial distribution with n = 8 and p = 0 .25.
First, note that
Then use the formula for the sum of perfect cubes:

Therefore,

The quadratic trinomial
couldn't be factored anymore, so the expression
has two factors
and
Answer: correct choice is A.
I think that what Frederick Douglass meant by the "wail of millions" is that while the 4th of July is a great day to be celebrated by non-African American people as it meant the true independence of the 13 colonies from Great Britain and freedom for many of its citizens, in fact slavery is still intact at the time of his speech in 1852 and so July 4th cannot be celebrated by the vast majority of the black people in the US who are still under the terrible yoke of slavery.
Answer:
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Step-by-step explanation:
Let x be the amount of Ann money, y be Jessica's money and z Mary money.
30% of z equates 0.3*z.
Ann has 30% less than z so: x = z - 0.3z = 0.7z.
70% of z equates 0.7z.
"Jessica has 70% more than Mary " we deduce the equation: y =z+0.7z= 1.7z.
Signe the total is $102, we deduce the equation x+y+z = 102.
x=0.7z and y=1.7z then 0.7z+1.7z+z=102, therefore 3.4z=102 then
z =102/3.4 = $30.
x=0.7*30= 21 and y=1.7*30=51.
Ann has $21, Mary has $30 and Jessica has $51.