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3 years ago

I need help with these :3 thx

Mathematics

1 answer:

yawa3891 [41]3 years ago

8 0

Y = mx + b
where m is the slope and b is the y-intercept.

1. 2x + 3y = 12
3y = -2x + 12
y = -2x + 4
y-intercept is 4

2. x - 4y = 20
-4y = -x + 20
y = -x - 5
y-intercept is 5

3. y = 2x - 9
this one is easy because it's already in standard form
y-intercept is -9

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Put the following list of numbers in order from least to greatest. 0.6,2/3,5/6,1/9,0.48

Vedmedyk [2.9K]

Answer: 1/9, 0.48, 0.6, 2/3, 5/6

Step-by-step explanation:

Order these numbers: 0.6 , 2/3 , 5/6 , 1/9 , 0.48

0.6 = 0.6

2/3 = 0.6666666....

5/6 = 0.8333333....

1/9 = 0.111111.....

0.48 = 0.48

In order, it will go 1/9, 0.48, 0.6, 2/3, 5/6

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3 years ago

What percent of 24 is 72?

Lena [83]

Answer:

300%

Step-by-step explanation:

Let p be the percent, of means multiply and is means equals

p*24 = 72

Divide each side by 24

24p/24 = 72/24

p =3

Multiply by 100 to change from decimal form to percent form

3*100

300%

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3 years ago

How do I find the volume of a cube

Alenkasestr [34]

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4 years ago

Read 2 more answers

The data below were obtained from an experiment were participants were given drinks with or without caffeine and then asked to t

Black_prince [1.1K]

Answer:

The 95% confidence interval is $244.26 < \mu < 246.95$

The pivot function used is

$t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }$

Step-by-step explanation:

From the question we are told that

The data given is 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242

The sample size is $n= 20$

Given that the confidence level is 95% then the level of significance is

$\alpha = (100 - 95)\%$

$\alpha = 0.05$

The degree of freedom is mathematically represented as

$df = 20 -1$

$df = 19$

From the student t-distribution table the critical value of $\frac{\alpha }{2}$ is

$t_{\frac{\alpha }{2} , 19 } = 2.093$

The mean is mathematically represented as

$\= x = \frac{\sum x_i}{ n}$

$\= x = \frac{246+ 242 +248+245+ 250+ 244+252+ 248 +248 +247+ 250+ 248+ 246+ 242 +248 +244 +245 +246+ 250+ 242}{20}$ $\= x = 246.6$

The standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x )^2)}{n} }$

$\sigma = \sqrt{\frac{(246- 246.6)^2 +(242- 246.6)^2 +(248- 246.6)^2 + (248- 245)^2+}{20} } \ ..$

$\ ...\sqrt{\frac{(250-246.6 )^2+ (244- 246.6)^2+(252- 246.6)^2+ (248- 246.6)^2+ (248- 246.6)^2+}{20} } \ ...$

$\ ..\sqrt{\frac{(247- 246.6)^2+ (250- 246.6)^2+ (248-246.6)^2+ (246-246.6)^2+ (242-246.6)^2+ (248-246.6)^2+ (244-246.6)^2+}{20} } \ ...$ $\sqrt{\frac{ (245-246.6)^2+ (246-246.6)^2+ ( 246-246.6)^2 + ( 250-246.6)^2+ ( 242-246.6)^2 +( 246-246.6)^2+ ( 242-246.6)^2 }{20} }$ $\sigma = 2.87411$