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2 years ago

What is the difference between the number of solutions for a two-step equation and for a two-step inequality

Mathematics

1 answer:

Sophie [7]2 years ago

7 0

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X > C - B

X > (C - B)/A

In this case, any value of X that is larger than (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

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2 years ago

Read 2 more answers

a survey of 504 citizens found that 378 of them favor a new bill introduced by the city. We want to find a 95% confidence interv

Viefleur [7K]

The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

<h3>What is a confidence interval?</h3>

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have:

A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Sample proportion = p = 378/504 = 0.75

q = 1 - p = 1 - 0.75 = 0.25

$\rm SD = \sqrt{\dfrac{pq}{n}}$

$\rm SD = \sqrt{\dfrac{0.75\times0.25}{504}}$

SD = 0.01928

For 95% confidence interval Z value = 1.96

Lower limit = 0.75 - 1.96(0.01928)

= 0.712

Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Learn more about the confidence interval here:

brainly.com/question/6654139

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1 year ago

Staci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirts from the e

Norma-Jean [14]

Hello! First off, Staci is buying a ticket for herself, which costs $87.96. She has $200 with her. 200 - 87.96 is 112.04. Now, the t-shirts cost $30 each. We can divide the amount she has left by 3 to get the number of shirts she ca=an buy. 112.04/30 is 3.73466666, but you can't have part of a shirt. Therefore, the maximum amount of t-shirts Staci can purchase is 3.

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3 years ago

Which two points of concurrency always remain inside the triangle, and why?

tatyana61 [14]

The point of concurrency is the point where three or more lines, segments, or rays intersect forming a point. Out of the four namely the Centroid, Incenter, Circumcenter, and Orthocenter, only the <u>Centroid</u> and <u>Incenter</u> is always located inside the triangle.

Centroid: where the medians intersect

<span>Incenter: where the angle bisectors intersect</span>

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2 years ago

Compute<br><br> 8*4-4 divided by 2 +1

iragen [17]

Solution of 8 x 4 - 4 divided by 2 +1 is 9.33

<h3><u>Solution:</u></h3>

Given that,

8 x 4 - 4 divided by 2 +1

We have to compute the above equation

Let us write the given sentence mathematically:

$\rightarrow \frac{8 \times 4-4}{2 + 1}$

Let us BODMAS rule to solve the above expression

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.

So let us first perform multiplication of 8 and 4 in numerator

$\rightarrow \frac{32 - 4}{2 + 1}$