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IceJOKER [234]
3 years ago
14

In order to attract more advertisers to the arena during the sports events, the arena plans to offer advertising space as corpor

ate prizes. 720 companies enter. 8 companies win. What is the probability of a company winning? give your answer as a fraction
Mathematics
2 answers:
beks73 [17]3 years ago
3 0
720 divided by 8 and then look up the answer to that as a fraction on Google
Jobisdone [24]3 years ago
3 0

Answer: \dfrac{1}{90}

Step-by-step explanation:

Given : The total number of companies = 720

The number of companies won = 8

Now, the probability of a company winning is given by ;-

\text{P(winning)}=\dfrac{\text{Number of company wins}}{\text{ Total companies}}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{8}{720}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{1}{90}

Hence, the probability of a company winning  is \dfrac{1}{90}.

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In a random sample of students who took the SAT test, 427 had paid for coaching courses and the remaining 2733 had not. Calculat
Dvinal [7]

Answer:

The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

427 had paid for coaching courses and the remaining 2733 had not.

This means that n = 427 + 2733 = 3160, \pi = \frac{427}{3160} = 0.1351

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1351 - 1.96\sqrt{\frac{0.1351*0.8649}{3160}} = 0.1232

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1351 + 1.96\sqrt{\frac{0.1351*0.8649}{3160}} = 0.147

The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).

8 0
3 years ago
Mark uses an app that shows him how many kilometers he has run to prepare for a marathon. The app said he ran 9.654 kilometers.
Viefleur [7K]

Answer:

5.9987174899

Step-by-step explanation:

9.654km / 1.609344

= 5.9987174899mi

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2 years ago
Dion is out shopping and finds a basketball jersey originally valued at $128.00. it is now on sale for 75% of the original price
Fittoniya [83]

Answer:

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Step-by-step explanation:

$128 X 78/100

= $128 X .75

= $96

Dion would buy it, he's rich

7 0
2 years ago
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