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Semenov [28]
3 years ago
6

30 random samples of high school students were asked if they played a sport for their high school. Each sample was 20 students.

The dot plot represents the 30 random sample proportions.
Choose all that are correct.

A sample proportion of 0.20 means that 4 of 20 high school students responded that they play a sport.
Based on the sample distribution, the best prediction for the proportion of all high school students that play a sport is 0.10.
The mean of the 30 sample proportions calculated to the nearest hundredth is 0.16.
The shape of the sample distribution is fairly symmetrical.

Mathematics
2 answers:
Ludmilka [50]3 years ago
5 0

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

Yanka [14]3 years ago
5 0

Answer:

A and D

Step-by-step explanation: Took the test on USATest Prep

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Leto [7]

Answer:

144^3 or  2985984

Step-by-step explanation:

This is a pure calculator question. Since the bases are the same, you can add two powers.

144 = 144^1

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144

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6 0
2 years ago
The graph of the sine curve below is of electromagnetic energy that represents green light:
Gre4nikov [31]

Answer:

y=sin((pi/290)x)

Step-by-step explanation:

If we look at all the coordinates given (0,0),(145,1),(290,0),(435,-1),(580,0) we can draw it out and see what are our maximum and minimum y-value.  Once you graph this you will notice that the maximum y-value is 1 and minimum y-value is -1, this is important because we call this our amplitude.  Now we will determine our midline, we do so by getting the average of our amplitude so \frac{1+(-1)}{2}=\frac{0}{2} =0 and so our midline is zero.  Next we will determine our period in terms of radians we can do so by looking at our period which happens to be 580.  This means that the line will repeat itself every 580 on the numberline and so:

P=\frac{2\pi }{B}\\ \\580=\frac{2\pi}{B}\\\\B=\frac{2\pi}{580} \\\\B=\frac{\pi}{290}

Therefore our period in radians is pi/290.

A sine function is such that:

y=Asin(Bx)+D

where A is the amplitude, B is the period, and D is the midline.  Our amplitude is 1, midline is zero and our period is pi/290 and so our final equation is:

y=sin(\frac{\pi}{290}x)


4 0
3 years ago
Marge has saved $350 toward the cost
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She has saved 20% so far.
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8 0
3 years ago
Continuing the previous problem, use the data points (1950, 0.75) and (1997, 5.15) to find the slope. Show all work necessary fo
fomenos

Answer:

Slope is 0.094,

It represents the average rate of change.

Step-by-step explanation:

Since, the slope is the ratio of difference in y-coordinates and the difference in x-coordinates,

Also, in a order pair, first element shows the x-coordinate and second element shows the y-coordinate.

Here, the data points are (1950, 0.75) and (1997, 5.15),

Thus, the slope is,

m=\frac{5.15-0.75}{1997-1950}

=\frac{4.4}{47}

=0.0936170212766

\approx 0.094

Also, Slope represents the average rate of change.

8 0
3 years ago
Tarinda's corn plant was 7- 1/3 inches tall at the end of Week 1. The corn plant was 18 1/2 inches tall at the end of Week 2. Ho
liberstina [14]

Answer:

The corn plant grew by 11.17 inches during week 2.

Step-by-step explanation:

7 and 1/3 inches tall at the end of Week 1.

The height at the end of week 1, as a simple fraction, is:

7 + \frac{1}{3} = \frac{3*7 + 1}{3} = \frac{22}{3}

The corn plant was 18 1/2 inches tall at the end of Week 2.

At the end of week 2, the height will be of:

18 + \frac{1}{2} = \frac{18*2+1}{2} = \frac{37}{2}

How many inches did the corn plant grow during Week 2?

Height at the end of week 2 subtracted by the height at the end of week 1. So

\frac{37}{2} - \frac{22}{3} = \frac{3*37-2*22}{6} = \frac{67}{6} = 11.17

The corn plant grew by 11.17 inches during week 2.

5 0
2 years ago
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