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hram777 [196]
3 years ago
9

Enrique left the study group traveling 20 mph. Then, 2 hours later, Tevin left traveling the same direction at 28 mph. How long

until Tevin catches up with Enrique?
Mathematics
1 answer:
nadya68 [22]3 years ago
4 0

Answer:

After 7 hours Tevin will catch Enrique

Step-by-step explanation:

We have given speed of Enrique is 20 mph

Tevin left traveling after 2 hours of Enrique

Speed of Tevin  is 28 mph

When Tevin catches  Enrique will cover same distance

Let  Enrique is traveling for t hours

Then Tevin will travel for t-2 hours

We know that distance = speed × time

So 20\times t=28\times (t-2)

20t=28t-56

8t=56

t = 7 hours

So after 7 hours Tevin will catch Enrique

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Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority
Andre45 [30]

Answer:

The 95% confidence interval of  the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

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 interval 1-\alpha, we have the following confidence interval of proportions.

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

In which

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For this problem, we have that:

A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. This means that n = 4000 and \pi = \frac{2250}{4000} = 0.5625

Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval

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

The lower limit of this interval is:

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The upper limit of this interval is:

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The 95% confidence interval of  the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

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3 years ago
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8 0
2 years ago
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