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jekas [21]
3 years ago
10

4x-5≥7 in interval notation

Mathematics
1 answer:
Readme [11.4K]3 years ago
3 0

Answer:

4x - 5 > 7 = [3,∞)

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

4x<u> > </u>12

Divide each term by 4 and simplify.

x <u>> </u>3

Convert the inequality to interval notation.

[3,∞)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

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People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, resear
Alborosie

Answer:

Step-by-step explanation:

Hello!

Research.

n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.

18, 23, 24, 22, 19, 27, 23, 26, 25

Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.

a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.

b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:

H₀: μ = 20

H₁: μ ≠ 20

This is a two-tailed test, meaning, you will have two critical regions.

d.  

α: 0.05

Left critical value: t_{n-1;/\alpha 2} = t_{8; 0.025}= -2.306

Right critical value: t_{n-1;1-\alpha /2} = t_{8;0.975} = 2.306

e.

t_{H_0}= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

X[bar]= 23

S= 3

t_{H_0}= \frac{23-20}{\frac{3}{\sqrt{9} } }= 3

f.

Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.

I hope it helps!

7 0
3 years ago
Will the sum of 2x3 + x2 - 4 and -5x² - 6x? be a polynomial?<br> yes<br> no
Eva8 [605]

Answer:

Yes

Step-by-step explanation:

Since we are adding two polynomials

The sum will also be polynomial

4 0
3 years ago
Help me with my math, please
Drupady [299]
M = -6/4

b = 7

equation : y = -6/4x+7
8 0
2 years ago
Graph a line that contains the point ( 3 , -6) and has a slope of 1/2
irina [24]
You need to physically draw that on a graph
3 0
3 years ago
Factor 15z^2+17z-18 please show work
siniylev [52]

There is no common factor between 15, 17 and 18 because 17 is prime.  

15z² +17z - 18 =  

d = 17² - 4.15.-18  

d = 289 + 1080  

d = 1369  

z = (-17 +/- \/1369) : 2 * 15  

z = (-17 + 37) : 30  

z' = 20 : 30 = 2/3  

z" = (-17 - 37) : 30  

z" = -54 : 30 = -1.8  

<><

7 0
3 years ago
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