Hello from MrBillDoesMath!
Answer:
x^5 - 5 x^4 y + 10 x^3 y^2 - 10 x^2 y^3 + 5 x y^4 - y^5
Discussion:
Pascal's triangle looks like this (up to 6 rows)
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
The last row contains the constant multipliers in the equation. The terms in the expansion alternate in sign.
Thank you,
MrB
Okay, so when dealing with unit rates you want to see how much you have of your main measurement. In this case your main measurement is ounces. Since you have 16 and 32 you are going to divide your dollar amount by those and round to the nearest tenth.
Here are the equations that need to be used. Figure out the answers to them and round. This will give you your answer
3.98/16=
5.98/32=
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The equations are inconsistent. The set of equations reduces to ...
x + 2y + 3z = 12
x + 2y + 3z = 30
x + 2y + 3z = 60
No values of x, y, and z can satisfy all three equations. There is no solution.
we know that
If triangle LMN is a right triangle then must meet the Pythagorean Theorem
so
Applying the Pythagorean Theorem

substitute the values


------> is true
The triangle LMN is a right triangle
therefore
the answer is the option A True
Answer:
Probability: 0.7190
There is not enough evidence at the 5% level of significance to suggest that there is difference in proportions of red-light runners between the two intersections
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in proportion of red-light runners between the 2 lights, then the difference in proportions will be zero. That makes the null hypothesis
H0: p1 - p2 = 0
The question is asking whether there is a difference, meaning that the difference can be higher or lower. If there is a difference, the proportions are not equal. This makes the alternate hypothesis
Ha: p1 - p2 ≠ 0
This is a two tailed test
We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.96 or z < -1.96.
If our test statistic falls in either region, we will reject the null hypothesis.
See the attached photo for the hypothesis and conclusion
The z-value of the test statistic is z = 0.58.
P(z < 0.58) = 0.7190