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1 year ago

If | 8x -2 | < 4, Which of the following is true of x? Explain as well.

Mathematics

1 answer:

wariber [46]1 year ago

3 0

The true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75

<h3>What are inequality expressions?</h3>

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

<h3>How to determine the true expression of the variable x?</h3>

The inequality expression is given as

|8x - 2| < 4

Divide through the above equations by 2

So, we have the following inequality expression

|4x - 1| < 2

Remove the absolute value sign from the inequality expression

So, we have

-2 < 4x - 1 < 2

Add 1 to all sides of the above inequality expression

So, we have

-1 < 4x < 3

Divide through the above inequality expression by 4

So, we have

-0.25 < x < 0.75

Hence, the true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75

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anygoal [31]

Answer:

The probability of event A is $\frac{7}{11}$ .

The probability of event B is $\frac{6}{11}$ .

Step-by-step explanation:

The sample space of rolling a fair six-sided dice is as follows:

S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Now consider the experiment of the computing the sum of the two rolls as follows:

X = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Number of total outcomes, N = 11.

The probability of an event E is the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

The event A is defined as the sum is greater than 5.

The sample space of A is:

A = {6, 7, 8, 9, 10, 11, 12}

n (A) = 7

Compute the probability of event A as follows:

$P(A)=\frac{n(A)}{N}=\frac{7}{11}$

Thus, the probability of event A is $\frac{7}{11}$ .

The event B is defined as the sum is an even number.

The sample space of B is:

B = {2, 4, 6, 8, 10, 12}

n (B) = 6

Compute the probability of event B as follows:

$P(B)=\frac{n(B)}{N}=\frac{6}{11}$

Thus, the probability of event B is $\frac{6}{11}$ .

7 0

3 years ago

I need help ASAP! I am offering brainiest to whoever answers the question first!

Viefleur [7K]

Answer:

Step-by-step explanation:

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3 years ago

Solve the simultaneous equations 5x+2y=25 5x-y=10

Pavlova-9 [17]

5x + 2y = 25;

5x + 2y = 25;5x - y = 10;

5x + 2y = 25;

5x = 10 + y;

(10 + y) + 2y = 25;

5x = 10 + y;

10 + 3y = 25;

5x = 10 + y;

3y = 15;

5x = 10 + y;

y = 5;

5x = 10 + y;

y = 5;

5x = 10 + 5;

y = 5;

5x = 15;

y = 5;

x = 3.

Answer: (3; 5).

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2 years ago

Jonathan bought 6 cans of paint and 2/3 of a pint of special paint additive formulated to reduce mildew. Before painting his hou

gayaneshka [121]

Answer:

1/9 pint

or 2/9 cup

Step-by-step explanation:

This question is asking us to divide 2/3 pint among 6 cans.

2/3 ÷ 6

2/3 × 1/6

= 2/18

= 1/9 pint or 2/9 cup additive

5 0

3 years ago

How do I solve (2x^3)^4?

larisa86 [58]

Hello There!

You would have to do work out 2 to the fourth power.
Also, 3 x 4.
The rules of powers are:
If you have to multiply, you add them
If you have to divide, you subtract them
If they are in brackets like this ^^, you multiply them.

Therefore, your answer is $16^{12}$

Hope This Helps You!
Good Luck :)

- Hannah ❤

8 0

3 years ago

Read 2 more answers