Decrease from 126 ounces to 48 ounces percent

Answer:

The list of event (pulling a face card,F or a number card, N) that correctly makes up the sample space when a card is drawn without replacement is;

FF

FN

NF and

NN

Step-by-step explanation:

Here we have the definition of a sample space as one which has all possible outcomes

Therefore, the list of events that correctly makes up the sample space of events when you pull out two cards we have either a face card F or a number card N, and the sample space is;

FF

FN

NF and

NN

Where the likelihood of each outcome changes as the number of face cards and number card changes as each card is drawn without replacement.

Answer:

just took the test, the correct answer is:

B) two number cards, two face cards, one number card and one face card

Final answer:

To find the triples of the 3 positive integers (x,y,z) that are products of 24, consider the prime factorization of 24 and distribute these prime factors among x, y and z. Remember to consider permutations.

Explanation:

The student is asking about triples of positive integers (x,y,z) whose product is 24. To find these triples, consider the prime factorization of 24, which is 2^3*3.

Triplet possibilities are created by distributing these prime factors among x, y, and z. For instance, (1,1,24), (1,2,12), (1,3,8), (1,4,6), (2,2,6), and their permutations.

When considering permutations, remember each triple can be ordered in 3! = 6 ways. Making each distinct triple six separate triples. For example, (1,1,24) becomes [(1,1,24), (1,24,1), (24,1,1), (1,24,1), (1,1,24), (24,1,1)]. Repeat this process for all the distinct triples.

To get the total number of triples, count all the distinct permutations. Keep in mind the triple where all numbers are equal, such as (2,2,6), should be counted only once, as its permutations do not produce distinct triples.

Learn more about integer triples here:

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The solution to the system of linear equations is (0,2). The correct option is C.

What is a system of linear equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

It is given that in a coordinate grid with 2 lines. The first line labelled f(x) passes through (-3, 3), (0,2), and (3, 1). The second line labelled g(x)passes through the points at (-3, 0) and (0, 2).

Plotting the two lines by using the points on the graph. After plotting the points there will be two lines that will intersect at the point ( 0, 2 ). Then the solution of the equation is ( 0,2).

Therefore,the solution to the system of linear equations is (0,2). The correct option is C.

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Answer:

(0, 2) or C

Step-by-step explanation: