Solution: We have to find the Frequency and Relative frequency of the given data:
Frequency is the number of times a number occurs.
Relative Frequency is the number of times a number occurs divided by the total number of items.
Therefore, the frequency and relative frequency are calculated as below:
Number Frequency Relative Frequency
20 1 
21 4 
22 2 
23 4
24 3 
25 2
26 3
27 5 
28 3
29 4
Total 31
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
9514 1404 393
Answer:
B, E
Step-by-step explanation:
The table tells you that f(0) = 3/2. (0 is found in the x-column; 3/2 is found in the f(x) column.)
__
You can find f(4) by evaluating the formula.
f(4) = 1/2·4 +3/2 = 4/2 +3/2
f(4) = 7/2 . . . . agrees with last answer choice
Answer:
6.25%
Step-by-step explanation:
Total = 1 ; as a decimal
1/2 = skittles
1/4 = M&Ms
Skittles +M&Ms = 1/2 + 1/4 = 3/4
Remainder = 1 - 
Remainder = 
Sour patch = 
As a percentage , multiply 1/16 by 100 and it becomes 6.25%
5/8 * 15 = 9.375000 exactly. The closest number to 9 is 3, which is below 5. This means to round the number down to the number it is closer to. 9.375 is closer to 9 than any other number, so we round it down to 9. Since Cassidy has 10 feet of string, and she uses the same amount for each bracelet, we can assume that she has enough to make 15 bracelets, possibly even 16.
