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e-lub [12.9K]
2 years ago
7

Solution to this inequality? 3(5+2n) > 7 +10n Please show work , Thank you

Mathematics
2 answers:
vodka [1.7K]2 years ago
7 0
3(5+2n) \ \textgreater \  7 +10n \\ \\ 15 + 6n \ \textgreater \  7 + 10n \\ \\ 15 \ \textgreater \  7 + 10n - 6n \\ \\ 15 \ \textgreater \  7 + 4n \\ \\ 15 - 7 \ \textgreater \  4n \\ \\ 8 \ \textgreater \  4n \\ \\  \frac{8}{4} \ \textgreater \  n \\ \\ 2 \ \textgreater \  n \\ \\ n \ \textless \  2 \\ \\

The final result is: n < 2.
emmasim [6.3K]2 years ago
3 0
15+6n>7 + 10n 
8+6n>10n
8>4n
2>n
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Answer: (\hat{p})\sim N(0.10,\ 0.017)

Step-by-step explanation:

Sampling distribution of the sample proportion (\hat{p}) :

(\hat{p})\sim N(p,\ \sqrt{\dfrac{p(1-p)}{n}})

The sampling distribution of the sample proportion (\hat{p}) has mean = \mu_{\hat{p}}=p and standard deviation = \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}.

Given : The proportion of left handed people in the population is about 0.10.

i.e. p=0.10

sample size : n= 300

Then , the sampling distribution of the sample proportion(\hat{p}) will be :-

(\hat{p})\sim N(0.10,\ \sqrt{\dfrac{0.10(1-0.10)}{300}})

(\hat{p})\sim N(0.10,\ \sqrt{0.0003})

(\hat{p})\sim N(0.10,\ 0.017)  (approx)

Hence, the sampling distribution of the sample proportion(\hat{p}) is (\hat{p})\sim N(0.10,\ 0.017)

8 0
3 years ago
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for
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Answer:

168 adult tickets

Step-by-step explanation:

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1764/10.5 (you divide since each adult is 10.5$)

168

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3 years ago
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Step-by-step explanation:

Marks = 52/61

Percentage =  52/61  x 100 ~ 85%

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Step-by-step explanation:

1. The formula for calculate th area of a square is shown below:

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