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bulgar [2K]
3 years ago
12

Marcelo played a carnival games six times he spent three tokens to play each game and he won seven tokens each time write two di

fferent expressions that can be used to find the total profit and tokens that Marcello made
Mathematics
1 answer:
Dimas [21]3 years ago
8 0

Answer:

24

Step-by-step explanation:

let W represent the number of wins

and let P represent the number of plays

let T represent profit from each play.

from the question, Marcelo played 3 times, this means 3P can represent the first equation

He won 7 times, 7W can represent the second equation

and T which is  profit is the difference between the number of tokens he won in each game and the number of tokens he spent to play each game.

Therefore, T = 7W - 3P

to get the total profit we will multiply T by the number of games played (in this case, 6)

this means that 6T = (7W - 3P) * 6

Since Marcelo spent and won tokens, the above expression of W and P can be expressed by a single variable. What this means is that, we can make 7W equal 7P or 3P equal 3W since we are dealing in the same item (tokens won and played)

profit per game (T) = 7P - 3P = 4P

total profit (for 6 games) = 4P * 6 =24

Second expression

we can also look at it from this angle;

-3 tokens+7 tokens = profit per game

profit per game for Marcelo = 4 tokens

total number of games = 6

total profit for Marcelo =6*4 = 24

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A survey of 2,254 American adults indicates that 17% of cell phone owners browse the internet exclusively on their phone rather
GrogVix [38]

Answer:

We conclude that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

Step-by-step explanation:

We are given that a survey of 2,254 American adults indicates that 17% of cell phone owners browse the internet exclusively on their phone rather than a computer or other device. According to an online article, a report from a mobile research company indicates that 38 percent of Chinese mobile web users only access the internet through their cell phones.

We have to conduct a hypothesis test to determine if these data provide strong evidence that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

<em>Let p = proportion of Americans who only use their cell phones to access the internet</em>

SO, Null Hypothesis, H_0 : p = 38%  {means that the proportion of Americans who only use their cell phones to access the internet is same as that of Chinese proportion of 38%}

Alternate Hypothesis, H_a : p \neq 38%  {means that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%}

The test statistics that will be used here is <u>One-sample z proportion statistics</u>;

                 T.S. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }  ~ N(0,1)

where, \hat p = proportion of cell phone owners who browse the internet

                 exclusively on their phone in a survey of 2,254 adults = 17%

          n  = sample of adults = 2,254

So, <em><u>test statistics</u></em> = \frac{0.17-0.38}{\sqrt{\frac{0.17(1- 0.17)}{2,254} } }

                            = -26.542

<em>Since in the question we are not given with the significance level so we assume it to be 5%. So, at 0.05 level of significance, the z table gives critical values between -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie in between the critical values of z so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

3 0
3 years ago
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