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grin007 [14]
3 years ago
11

Not sure how to complete #14

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0
14. Add the line times the outside number
X(X+4)= (2√3)^2
X^2+4X= 4√9
X^2+4X= 4times 3
X^2+4X=12
X^2+4X-12=0
(X+6)(X-2)=0
X=-6 X=2
Answe can't be negative so it's X=2
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30 random samples of high school students were asked if they played a sport for their high school. Each sample was 20 students.
Ludmilka [50]

Answer:

<em>a. This option is correct</em>

<em>b. This will be true only if we take the </em><em>mode</em><em> as the best representative value </em>

c. <em>This is a correct choice</em>

<em>d. This is not a correct choice</em>

Step-by-step explanation:

<u>Statistics</u>

We are given a dot plot representing 30 random sample proportions of high school students about their sports activities. Based on the data extracted from the plot, we can make some basic conclusions and, less accurately, some predictions.

From the data plot we can see that the following proportions were obtained, along with their absolute frequencies:

0.05 -> 3

0.10 -> 8

0.15 -> 7

0.20 -> 5

0.25 -> 4

0.30 -> 2

Let's select which of the following options are correct

a. A sample proportion of 0.20 means that 4 of 20 high school students responded that they play a sport.

The ratio between the sport playing students to the total of high school students is

\displaystyle \frac{4}{20}=\frac{1}{5}=0.20

Thus, this statement is correct.

b. The best prediction for the proportion of all high school students that play a sport is 0.10.

This will be true only if we take the mode as the best representative value for the whole dataset. Personally, I don't like to trust the mode as a good central tendency result, I'd prefer the mean instead.

c. The mean of the 30 sample proportions calculated to the nearest hundredth is 0.16

Computing the mean of the sample proportions

\displaystyle \bar x=\frac{\sum x_i.f_i}{\sum f_i}

\displaystyle \bar x=\frac{0.00\cdot 1+0.05\cdot 3+0.10\cdot 8+0.15\cdot 7+0.20\cdot 5+0.25\cdot 4+0.30\cdot 2}{1+3+8+7+5+4+2}

\bar x\approx 0.16

<em>This is a correct choice</em>

d. The shape of the sample distribution is fairly symmetrical

We can see the distribution if left-skewed because its peak value is not at the mean value. The mode and the mean are fairly different, thus this choice is not correct

5 0
3 years ago
Read 2 more answers
Does getting a degree mean you can be a detective
inessss [21]
It depends on what kind of degree you have. Being a detective needs training and special classes- you can get degrees for being a bet or a data analysts. It depends on what sort of degree you have.

:)
7 0
3 years ago
Suppose that many large samples are taken from a population and that the sample proportions are normally distributed, with a mea
Taya2010 [7]

Answer:

[0.16316 , 0.27684]

Step-by-step explanation:

0.22 +/- 1.96(0.029)

0.22 +/- 0.05684

[0.16316 , 0.27684]

8 0
3 years ago
How many subsets are there of the set N = {1, 42, 65, 12, 31, 27}?
lutik1710 [3]

Answer:

\boxed{ \bold{  \huge{ \boxed{ \sf{64}}}}}

Step-by-step explanation:

If ' n ' is the cardinal number of a set, the number of subsets of a given set can be obtained by using the formula 2ⁿ

Given,

N = { 1 , 42 , 65 , 12 , 31 , 27 }

where n ( total number of elements ) = 6

So, the number of possible subsets of set N :

= 2ⁿ

= 2⁶

= 2 × 2 × 2 × 2 × 2 × 2

= 64

Hope I helped!

Best regards!!

4 0
3 years ago
This is an easy question that I just read, shouldn't be too hard onece you write it down, it only requires about 7 steps (2 are
sergij07 [2.7K]
I hope this helps you

8 0
3 years ago
Read 2 more answers
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