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3 years ago

Make a number line and mark the points that represent the following values of x. 5x<12

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Answer:

x=2.5

Step-by-step explanation:

5x<12 1. /5 on both sides

x= 2.5

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I kind of need help. I completely forgot how to do ratios

lana66690 [7]

Answer:

7:5

Step-by-step explanation:

a:b=4:5

a:c=2:7

c:b=7:5

brainliest please!!!<3

7 0

3 years ago

Square of 5x+1 by 5x

gayaneshka [121]

Answer:

5x(5x+1)^2

= 5x(25x^2+10x+1)

= 125x^3+50x^2+5x

6 0

3 years ago

Does there exist 2 distinct prime numbers such that their product is a square number?

satela [25.4K]

Answer:

NO.

Step-by-step explanation:

If the 2 prime numbers are odd then the product cannot be a square number because the only factors are the original prime numbers. If one of the prime numbers is 2 then the product will be an even number , but again the only factors will be 2 and the other prime number.

So the answer is No.

5 0

3 years ago

Choose the slope-intercept equation of the line that passes through the point (4, -6) and is parallel to y = - 1/2 x + 5. (3 poi

telo118 [61]

First, it is important to understand that parallel lines have the same slope. Therefore, based on the formula y=mx+b in which m represents slope and based on the equation y=-1/2x+5, the slope of the unknown line is also -1/2. Then, there are two different ways to solve this problem using different formulas.

The first method to find the unknown equation is easy but not widely known. We can use the point slope formula which is (y-y1)=m(x-x1) in which we can plug a point and slope to find the equation. When we plug in the values given, we get y+6=-1/2(x-4) or y+6 =-1/2x+2 which simplifies to y=-1/2x-4.

The other method is using the slope intercept form or y=mx+b. When we plug in our slope and our point, we get -6=-1/2*4+b or -6=-2+b so b must equal -4, therefore we have all the information we need to plug values into y=mx+b. When we plug in our slope and y-intercept, we get y=-1/2x-4 which is the answer.

I hope this helps!

7 0

3 years ago

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the a

Doss [256]

Using the z-distribution, it is found that she should take a sample of 46 students.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:

$6\sigma = 800 - 200$