3/4 (6x + 1) - 3x = 1/4 (2x - 1)

Answers

Answer 1

Answer:

3/4 (6x + 1) - 3x = 1/4 (2x - 1) . The purpose of this question is to solve for x.

$\mathbf{x = (-4)/(13)}$

Given that:

3/4 (6x + 1) - 3x = 1/4 (2x - 1)

When calculating algebraic expression, we take note of integers in bracket first, then we collect the like terms in order to find the value of x.

$\mathbf{(3)/(4) (6x + 1) - 3x =(1)/(4) (2x - 1) }$

Let's multiply both sides by 4 to eliminate the fraction.

$\mathbf{((3)/(4) * 4) (6x + 1) - 3x =((1)/(4) * 4 ) (2x - 1) }$

$\mathbf{(3) (6x + 1) - 3x =(1 ) (2x - 1) }$

Open brackets;

18x + 3 - 3x = 2x - 1

By rearrangement;

18x - 3x + 3 = 2x - 1

15x + 3 = 2x - 1

Collect like terms

15x - 2x = - 3 - 1

13x = - 4

Divide both sides by 13

$\mathbf{(13x)/(13) = (-4)/(13)}$

$\mathbf{x = (-4)/(13)}$

Learn more about algebraic expressions here:

brainly.com/question/11227332?referrer=searchResults

Answer 2

Answer: 3/4*(6x+1)-3*x-(1/4*(2*x-1))=0
X=1

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Assume that women's heights are normally distributed with a mean given by u = 64.3 in, and a standard deviation given by 0 = 2.7 in. (a) f 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) if 43 women are randomly selected, find the probability that they have a mean heightless than 65 in. (a) The probability is approximately I. (Round to four decimal places as needed.) 4

Answers

Answer:

0.9533

Step-by-step explanation:

(a) Probability that a randomly selected woman's height is less than 65 inches:

Using the z-score formula:

�

−

�

X−μ

Where:

�

X = 65 inches

�

μ = 64.3 inches

�

σ = 2.7 inches

�

−

64.3

2.7

≈

0.2593

2.7

65−64.3

≈0.2593

Now, find the probability associated with this z-score, which is approximately 0.6010 (rounded to four decimal places).

(b) Probability that the mean height of 43 randomly selected women is less than 65 inches:

Using the Central Limit Theorem:

�

μ (mean of the sample means) remains 64.3 inches.

�

sample mean

(standard deviation of the sample means) is calculated as

2.7

≈

0.4115

2.7

≈0.4115.

Now, find the z-score for a sample mean of 65 inches:

�

−

64.3

0.4115

≈

1.6924

0.4115

65−64.3

≈1.6924

The probability associated with this z-score is approximately 0.9533 (rounded to four decimal places).

I need help plzzzzz

Answers

Answer:

Step-by-step explanation:

Given

f(x) = $(3+x)/(x-3)$

To evaluate f(a + 2), substitute x = a + 2 into f(x)

f(a + 2) = $(3+a+2)/(a+2-3)$ = $(5+a)/(a-1)$ → A

A sneaker store salesman had $4,125 in total monthly sales last month. he made $165 in commission from those sales. what is the salesman's commission as a percent of his total monthly sales?

Answers

He made $(165)/(4125)$ as a commission. To turn that into a percentage, you need to make the bottom become 100. Multiply the top and bottom by $(100)/(4125)$ to get the proper fraction. The fraction now is $((16500)/(4125))/(100)$ This simplifies to $(4)/(100)$ . Now all you need to do is take the top of that fraction to get the percentage, which is 4%.

4%

Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9, and determine if it is an extraneous solution.