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sweet-ann [11.9K]
2 years ago
9

Find the range and interquartile range (IQR) of the data set in the box plot.

Mathematics
1 answer:
Eduardwww [97]2 years ago
6 0

Answer:

Range = 23

IQR= 14.5

Step-by-step explanation:

Range is the biggest number- smallest number

so 30-7=23

IQR - Interquartile range = upper quartile - lower quartile

24-9.5=14.5

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What is 2√47. please help me. I need this ASAP
Stolb23 [73]

Answer:

13.7113092008

Step-by-step explanation:

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4 0
2 years ago
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In science class the students were asked to create a container to hold an egg. They would then drop the container from a window
belka [17]

Answer:

It will take 1.25 seconds to reach the ground.

Step-by-step explanation:

The equation of the containers pathway can be modeled by the equation given below :

h=-16t^2+25

t is time in seconds

It is required to find the time taken by the container to reach the ground. When it reached ground, its height is equal to 0 such that,

h=0\\\\-16t^2+25=0

-16t^2=25\\\\t=\sqrt{\dfrac{25}{16}} \\\\t=1.25\ s

So, it will take 1.25 seconds to reach the ground.

5 0
3 years ago
(HELP PLS) A triangle has the coordinates
kari74 [83]
A(-4, -1)
B(-3, -3)
C(0, 2)
4 0
3 years ago
Fast forward to the moment after the two outermost recursive calls complete, but before the final Merge step. Thinking of the tw
adoni [48]

Answer:

The answer is 2.

Step-by-step explanation:

1- Suppose we have following array of ten integers: 5 3 8 9 1 7 0 2 6 4.

2- Before the last merge, the left half and the right half must be sorted. So it should be

1 3 5 8 9 0 2 4 6 7

Therefore the solution is 2.

4 0
3 years ago
A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimat
Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \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 \frac{1+\alpha}{2}.

The margin of error is:

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

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 z = 1.96.

For this problem, we consider that we want it to be within 4%.

Item a:

  • The sample size is <u>n for which M = 0.04.</u>
  • There is no estimate, hence \pi = 0.5

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

0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2

n = 600.25

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is \pi = 0.96, hence:

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

0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}

\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2

n = 92.2

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to \pi = 0.5, the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

8 0
2 years ago
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