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3 years ago

13

Two trains are moving towards each other. One train moves at a speed of 50 mph, and the other train travels at 60 mph. How soon

will they meet, if originally the distance between them was 340 miles?

2 answers:

san4es73 [151]3 years ago

6 0

I believe that the trains will meet at three hours and ten minutes but not quite sure

Margaret [11]3 years ago

4 0

I think that they will meet in 3 hours and 11 min but I’m not too sure

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Find difference 7 7/8-3 1/4

umka2103 [35]

So first convert to improper fractions
7 and 7/8=7+7/8=56/8+7/8=63/8

3 and 1/4=3+1/4=12/4+1/4=13/4

so nowe we have
63/8+13/4
convert bottom number to same
which is 8
13/4 times 2/2=26/8
now we have
63/8-26/8=37/8=4 and 5/8
answer is 4 and 5/8

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3 years ago

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S

ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So $n = 421, \pi = \frac{75}{421} = 0.178$

85% confidence level

So $\alpha = 0.15$ , z is the value of Z that has a pvalue of $1 - \frac{0.15}{2} = 0.925$ , so $Z = 1.44$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205$

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

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2 years ago

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3 years ago

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hram777 [196]

Answer:

$g(x) = 3^{x -4}$

Step-by-step explanation:

Given

$f(x) = 3^x$

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$x \to x - 4$

So, we have:

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$g(x) = 3^{x -4}$

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3 years ago

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nekit [7.7K]

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Step-by-step explanation:

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