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julia-pushkina [17]
3 years ago
5

Two cars start from the same point on flat ground. The first car drives off directly North 25 ms^-1. Two seconds later the secon

d car drives off directly East at 20 ms.^-1 After how many seconds are they 1 km apart?​
Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

Answer:

1)jungkook

2)jimin

3)jin

4)RM

5)Jhope

6)suga

7) V

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52% of 1000 registered voters intend to vote for Steven Collins for mayor. Based on a 95% confidence interval, can we assume tha
Naya [18.7K]

Using the z-distribution, it is found that the correct option regarding the question in the problem is given by:

B. No, since the confidence interval includes values less than 50%, his opponent may get more votes.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

In this problem, the parameters are given as follows:

\pi = 0.52, n = 1000

Hence, the bounds are given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551

The lower bound is below 0.5, hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

7 0
2 years ago
24 is 60% of what number
HACTEHA [7]
24 is 60% of 40

I hope this helps. ;)

Have a "AWESOME" day. :)
3 0
3 years ago
Read 2 more answers
Shawns mobile home is 7.2 meters wide and 19.5 meters long. What is the area
lora16 [44]
Area= 19.5× 7.2= 140.40 or 140.4
3 0
3 years ago
Read 2 more answers
2
saul85 [17]

Answer:

I think his age is 39.

Step-by-step explanation:

If Cesar's age was 2 times Rosa's 6 years ago, that means their combined ages 6 years ago was 66. 66 dived by 2 is 33 and 33 plus the 6 years is 39.

5 0
3 years ago
Read 2 more answers
Pls help........
Zinaida [17]

Answer:

During the interval 0 < x < 2, height of the water balloon is increasing.

Step-by-step explanation:

Graph of the linear function represents the height f(x) of a balloon over the time 'x' seconds.

There are three intervals of the time in which height of the balloon has been given.

1). In the interval of 0 < x ≤ 2, height of the water balloon is increasing (Since slope of the line is positive or the line is slanting upwards).

2). In the interval 2 < x ≤ 3, height of the water balloon is constant (Since slope of the line is zero).

3). In the interval 3 < x ≤ 4, height of the water balloon is decreasing faster. (Since the given line is slanting downwards).

4). In the interval 4 < x < 6, height of the water balloon is decreasing (Since the given line in this interval is slanting downwards).

Therefore, during 0 < x < 2, height of the water balloon is increasing.

6 0
4 years ago
Read 2 more answers
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