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3 years ago

|2x-5|<1 solution of inequality?

Mathematics

1 answer:

qwelly [4]3 years ago

3 0

Answer:

{x:x<3}

Step-by-step explanation:

You first change the < to = in order to simply it. Thus,

2x-5=1
2x=1+5( move the -5 to the right hand side to obtain 5)
2x= 6
dividing through by 2
2x/2=6/2

x=3 . Therefore the solution is {x:x<3} sing you didn't divide with a negative number ,the < sing remains unchanged

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Simplify:

My name is Ann [436]

Answer

3 square root of 7

Explanation

square root of 3 times square root of 21

√3 × √21 = √(3×21)

= √63

= √(9×7)

= √9 × √7

= 3 × √7

= 3√7

The answer is 3 square root of 7

4 0

3 years ago

Mathew and his 3 siblings are weeding a flower bed with an area of 9 square yards. If they share the job equally, how many squar

Pie

As per the problem,

Mathew and his 3 siblings are weeding a flower bed with an area of 9 square yards.

They share the job equally.

We have been asked to find -how many square yards of the flower bed will each child need to weed.

So we will divide the area by the number of people.

Number of square yards of the flower bed will each child need to weed

$=\frac{9}{4} =2\frac{1}{4}\\$

7 0

3 years ago

Read 2 more answers

A random sample of 144 observations has a mean of 20, a median of 21, and a mode of 22. The population standard deviation is kno

fomenos

Answer: a. 19.200 to 20.800

Step-by-step explanation:

Formula to find the confidence interval $(\mu)$ :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

, where n is the sample size

$\sigma$ = Population standard deviation.

$\overline{x}$ = Sample mean

$z_{\alpha/2}$ = Two tailed z-value for significance level of $\alpha$ .

Given : Confidence level = 95.44% = 0.9544

Significance level = $\alpha=1-0.9544=0.0456$

Using standard normal z-value table ,

Two tailed z-value for Significance level of 0.0456 :

$z_{\alpha/2}=z_{0.0228}=1.999\approx2$

Also,

n=144

$\sigma= 4.8$

$\overline{x}=20$

Then, the required 95.44% confidence interval for the population mean :-

$20\pm (2)\dfrac{4.8}{\sqrt{144}}\\\\ =20\pm (0.800)\\\\=(20-0.800,\ 20+0.800)=(19.200,\ 20.800)$

Hence, the 95.44% confidence interval for the population mean is 19.200 to 20.800.

8 0

3 years ago

If the ratio is 4:5 and there is a total of 27 how many does the 4 represent

bonufazy [111]

4:5 - total 27
1 unit = 3
So, 3 x 4 = 12

5 0

3 years ago

What is the constant variation of 2x+y=-4?

jeka94

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

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5 0

3 years ago