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notsponge [240]
4 years ago
9

Find the inverse of: f(x)=3x-8

Mathematics
1 answer:
Crazy boy [7]4 years ago
8 0
The answer is f^-1(x)=8/3+x/3
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Plz help me with this it's really important Riverside elementary school is holding a school-wide election to choose a school col
Alborosie
⅝ of the votes were for blue. That leaves ⅜ of the votes remaining. 5/9 of the remaining ⅜ votes were for green, so you multiply 5/9 x ⅜ = 15/72 votes for green. ⅝ of the votes were for blue, so you can multiply the fraction by 9/9 to get 45/72. So 45/72 votes were for blue, and 15/72 votes were for green. That leaves 12/72 votes remaining, which were for red. Since the question says 48 votes out of the total number of votes were for red, this means 48/v = 12/72 (v = the total number of votes). Cross multiply and solve for v to get v = 288. The fraction for blue is ⅝, so you can say x/288 = ⅝ (x = the number of votes for blue). Cross multiply and solve for x to get x = 180 votes for blue. 
8 0
3 years ago
When 3010 adults were surveyed in a​ poll, 27​% said that they use the Internet. Is it okay for a newspaper reporter to write th
tamaranim1 [39]

Answer:

Null hypothesis:p=0.25  

Alternative hypothesis:p \neq 0.25

z=2.53

pv=0.0114

So based on the p value obtained and using the significance given \alpha=0.05 we have p_v so we can conclude that we reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that they use the Internet differs from 0.25 or 25% .  

Step-by-step explanation:

1) Data given and notation

n=3010 represent the random sample taken

X represent the people who says that said that they use the Internet.

\hat p=\frac{X}{106}=0.27 estimated proportion of people who says that said that they use the Internet.

p_o=0.25 is the value that we want to test

\alpha represent the significance level  

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that 50% of people who says that  they would watch one of the television shows.:  

Null hypothesis:p=0.25  

Alternative hypothesis:p \neq 0.25  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.27 -0.25}{\sqrt{\frac{0.25(1-0.25)}{3010}}}=2.53

4) Statistical decision  

P value method or p value approach . "This method consists on determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

We have the significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.53)=2*(0.0057)=0.0114  

So based on the p value obtained and using the significance given \alpha=0.05 we have p_v so we can conclude that we reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that they use the Internet differs from 0.25 or 25% .  

3 0
3 years ago
Aaron can run 4 miles in 30 minutes. How long does it take him to run one mile
stealth61 [152]

You first divide 30 by 4 to see how long it takes him to run one mile. Then you get 30/4 which simplified is 15/2 minutes

6 0
3 years ago
Read 2 more answers
If tommy rode his bike 4.3 miles a day, 3 days a week for 5 years delivering news papers and he dropped 22.7 newspapers every 1/
geniusboy [140]

Answer:

277 848 newspapers.

Step-by-step explanation:

Find out how much newspaper he drops for 4.3 miles.

1/4 = 0.25

4.3 miles ÷ 0.25 = 17.2

= 17

17 x 22.7 = 385.9

(Newspapers be dropped a day)

1 week of dropping newspapers = 385.9 x 3 = 1157.7

1 month of dropping newspapers = 1157.7 x 4 =

4630.8

1 year = 12 months

5 years = 12 x 5 = 60 months.

5 years/60 months of dropping newspapers = 4630.8 x 60 = 277 848

Tommy dropped 277 848 newspapers.

6 0
3 years ago
Can someone show me how to do this ? please :)) will award brainliest
sveticcg [70]

Answer:

x=16

Step-by-step explanation:

Because of Thales Intercept Theorem, AN/NG=NE/GL

NE/GL=1/2, AG=2x-9+x+7=3x-2

2x-9/3x-2=1/2

x=16

7 0
3 years ago
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