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Brrunno [24]
3 years ago
13

It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I

Mathematics
1 answer:
pentagon [3]3 years ago
6 0
Answer: 1h and 25min

To find how long you can drive in a minute we do 48 divided by 32 = 1.5. So it takes 1 min to drive 1.5km

Then we 146 divided by 1.5 = 97 and a third to find out how long it takes to drive 146km.

Then we convert it to hours to get 1h and 57min.

Then we - 32 because we already drove 32min. 1h and 57min - 32 = 1h and 25min
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Easy

Step-by-step explanation:

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How do i solve this? what is the answer?
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4 years ago
The marketing director of a large department store wants to estimate the average number of customers who enter the store every f
Dahasolnce [82]

Answer:

36.5674\leq x'\leq61.4326

Step-by-step explanation:

If we assume that the number of arrivals is normally distributed and we don't know the population standard deviation, we can calculated a 95% confidence interval to estimate the mean value as:

x-t_{\alpha /2}\frac{s}{\sqrt{n} } \leq x'\leq x-t_{\alpha /2}\frac{s}{\sqrt{n} }

where x' is the population mean value, x is the sample mean value, s is the sample standard deviation, n is the size of the sample, \alpha is equal to 0.05 (it is calculated as: 1 - 0.95) and  t_{\alpha /2} is the t value with n-1 degrees of freedom that let a probability of \alpha/2 on the right tail.

So, replacing the mean of the sample by 49, the standard deviation of the sample by 17.38, n by 10 and t_{\alpha /2} by 2.2621 we get:

49-2.2621\frac{17.38}{\sqrt{10} } \leq x'\leq 49+2.2621\frac{17.38}{\sqrt{10} }\\49-12.4326\leq x'\leq 49+12.4326\\36.5674\leq x'\leq61.4326

Finally, the interval values that she get is:

36.5674\leq x'\leq61.4326

8 0
3 years ago
What is the slope of the line passing through the points ( 1, 3) and (4, 7)?
kvv77 [185]
None of the options is correct, because the slope =(y2-y1)/(x2-x1) so the answer is: slope=(7-3)/(4-1) = 4/3
4 0
3 years ago
Read 2 more answers
Why might Razis method not be a good way to estimate the probability? My team won 18 of their last 20 matches, so the probabilit
FrozenT [24]

Answer:

It is a really idealistic way to estimate probability.

It usually works well for random events where there is no restriction like:

"There are N elements in a set, the probability of randomly selecting any element is the same (so there is no restriction) meaning that for every single element, the probability is 1/N.

Now suppose that there are K elements (K < N) with a given characteristic, then the probability of randomly selecting one of the K elements out of the sett with N elements is equal to K times the probability of each element, this is:

P = K*(1/N) = K/N"

Then if a dice has 6 possible outputs, and we want to find the probability of getting a 3 or a 5, we need to find the quotient between the outcomes where we get a 3 or a 5 (2) and the total number of outcomes (6)

P = 2/6

Now let's go to the case in the problem:

We know that out of the last 20 games, your team won 18.

Then yes, your team won (18/20)*100% = 90% of their played games.

Does this mean tath the probability of winning the next game is 90%?

Well no, because this is not a random selection, there are a lot of other things needed to analyze, as the win rate of the other team (suppose that the other team won 14 of their last 20 games, then their win rate is (16/20)*100% = 70%

Does this mean that the probability where our team wins is 90%, and the probability of the enemy team winning is 70%?

Well no, this makes no sense at all, and this is why this method is not a good way to estimate probability in complex cases like this one.

5 0
3 years ago
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