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Rina8888 [55]
3 years ago
7

Solve for x what is 4(3x-1)=24

Mathematics
1 answer:
Leto [7]3 years ago
5 0
4(3x - 1) = 24

First, divide both sides by 4. / Your problem should look like: 3x - 1 = \frac{24}{4} .
Second, simplify \frac{24}{4} to 6. / Your problem should look like: 3x - 1 = 6.
Third, add 1 to both sides. / Your problem should look like: 3x = 6 + 1.
Fourth, simplify 6 + 1 to 7. / Your problem should look like: 3x = 7.
Fifth, divide both sides by 3. / Your problem should look like: x = \frac{7}{3} which is your answer.

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Bayes' theorem provides a way to transform prior probabilities into posterior probabilities. Group of answer choices True False
Dvinal [7]

Answer:

True

Step-by-step explanation:

Bayes' theorem is indeed a way of transforming prior probabilities into posterior probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.

The prior probability in this theorem is the present understanding we possess about the possible outcome of an event based on the current understanding we have about the subject. Posterior probability on the other hand is the new understanding we have of the subject matter based on an experiment that has just been performed on it. Bayes' Theorem finds widespread application which includes the fields of science and finance. In the finance world, for example, Bayes' theorem is used to determine the probability of a debt being repaid by a debtor.

6 0
3 years ago
What is the equation of the line that has a slope of 1/5 and a y-intercept of -1
DiKsa [7]

Answer:

C   y = 1/5x - 1

Step-by-step explanation:

Slope intercept form: y = mx + b where m = slope and b = y-intercept.

Substitute into the slope intercept form m= 1/5 and b = -1

y = 1/5x - 1

4 0
2 years ago
Check my proof? Two diagonals of a parallelogram bisect each other?
SIZIF [17.4K]
Your proof is correct and very well done
6 0
3 years ago
A rectangular garden has a walkway around it. The area of the garden is 6(6.5x + 2.5). The combined area of the garden and the w
Rasek [7]

According to the information given in the exercise, the following expression represents the area of the rectangular garden:

6\mleft(6.5x+2.5\mright)

And the following expression represents the combined area of the walkway around the rectangular garden and the area of the garden:

6.5\mleft(8x+6\mright)

You can identify that the word "combined" indicates that that expression was obtained by adding both areas.

Knowing the above, you can set up the following equation:

6(6.5x+2.5)+A=6.5(8x+6)

Where "A" is the area of the walkway around the rectangular garden.

Solving for "A", you get the following expression:

\begin{gathered} A=6.5(8x+6)-6(6.5x+2.5) \\ A=52x+39-39x-15 \\ A=13x+24 \end{gathered}

The answer is:

13x+24

7 0
11 months ago
The perimeter of a playing field for a certain sport is 254 ft. The length is 47 ft longer than the width. Find the dimensions.
Vikentia [17]

Answer: the length is 87 feet

The width is 40 feet

Step-by-step explanation:

Let L represent the length of the playing field.

Let W represent the width of the playing field.

The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a playing field for a certain sport is 254 ft. This means that

254 = 2(L + W)

L + W = 254/2

L + W = 127 - - - - - - - - - - - -1

The length is 47 ft longer than the width. This means that

L = W + 47

Substituting L = W + 47 into equation 1, it becomes

W + 47 + W = 127

2W + 47 = 127

2W = 127 - 47 = 80

W = 80/2 = 40

L = W + 47 = 40 + 47

L = 87

4 0
3 years ago
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