we know that
A polynomial in the form
is called a sum of cubes
so
Let's verify each case to determine the solution
<u>case A)</u> 
we know that




-------> is not a perfect cube

therefore
the case A) is not a sum of cubes
<u>case B)</u> 
we know that
-------> is not a perfect cube



-------> is not a perfect cube

therefore
the case B) is not a sum of cubes
<u>case C)</u> 
we know that
-------> is not a perfect cube




therefore
the case C) is not a sum of cubes
<u>case A)</u> 
we know that





Substitute


therefore
<u>the answer is</u>
is a sum of cubes
Answer:
Mean = 15
Standard deviation = 1.94
Step-by-step explanation:
We are given the following information:
We treat favoring of building a police substation as a success.
P(Success) = 75% = 0.75
Then the number of citizens follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 20
We have to find the mean and the standard deviation.

Thus, the mean of favoring the substation is 15 and the standard deviation of favoring substation is 1.94
Answer:
Total tax deduction per paycheck:
= Weekly pay * FICA tax rate.
Weekly pay $198.00:
= 198 * 7.65%
= 15.147
= $15.15
Weekly pay $340.00:
= 340 * 7.65%
= $26.01
Weekly pay $250.00:
= 250 * 7.65%
= 19.125
= $19.13
x=31,y=−61
Put the equations in standard form and then use matrices to solve the system of equations.
5x+4y=1,3x−6y=2
Write the equations in matrix form.
(534−6)(xy)=(12)
Left multiply the equation by the inverse matrix of (534−6).
inverse((534−6))(534−6)(xy)=inverse((534−6))(12)
The product of a matrix and its inverse is the identity matrix.
(1001)(xy)=inverse((534−6))(12)
Multiply the matrices on the left hand side of the equal sign.
(xy)=inverse((534−6))(12)
For the 2×2 matrix (acbd), the inverse matrix is (ad−bcdad−bc−cad−bc−bad−bca), so the matrix equation can be rewritten as a matrix multiplication problem.
(xy)=(5(−6)−4×3−6−5(−6)−4×33−5(−6)−4×345(−6)−4×35)(12)
Do the arithmetic.
(xy)=(71141212−425)(12)
Multiply the matrices.
(xy)=(71+212×2141−425×2)
Do the arithmetic.
(xy)=(31−61)
Extract the matrix elements x and y.
x=31,y=−61
Answer:
Step-by-step explanation:
You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.
Pink Lemonade Yellow Lemonade TOTAL
Male 156 104 260
Female 72 48 120
TOTAL 228 152 380
P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6
P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6
Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6