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bezimeni [28]
2 years ago
8

Use the line plot above to answer all 4 questions. Label your responses (a), (b), (c), and (d). When asked to explain you must u

se at least one sentence explaining the work you did.
Hint: In question (a) the general trends to choose from are bell-shaped, uniform, skewed right, and skewed left. Refer to page 316 in Math Reference Guide for help.

Giving Brainliest to person who shows their work and explains!

Mathematics
1 answer:
mojhsa [17]2 years ago
4 0
A) it is left skewed
B) the median is 5
C) the mean is 5.15
D) the mean would be more affected (a change of 1.05 versus a change of 0.5).

The majority of the data is to the right of the graph; this means it is left skewed.

To find the median, write all of the data values out:
2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7

The middle value is 5.

We find the sum of this set of values and divide by 13, the number of data points, to find the mean:
2+3+4+4+5+5+5+6+6+6+7+7+7 = 67/13 = 5.15

If we added an additional data value at 20, the new median would be 5.5.  The new mean would be (67+20)/14 = 6.2.  The mean changes more than the median.
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Solve:<br> 3x - 9 = 5(x-3)
Viefleur [7K]

Hi,

3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3

Have a good day.

3 0
2 years ago
A company manufactures televisions. The average weight of the televisions is 5 pounds with a standard deviation of 0.1 pound. As
Semenov [28]

Answer:

0.2564\text{ pounds}

Step-by-step explanation:

The 90th percentile of a normally distributed curve occurs at 1.282 standard deviations. Similarly, the 10th percentile of a normally distributed curve occurs at -1.282 standard deviations.

To find the X percentile for the television weights, use the formula:

X=\mu +k\sigma, where \mu is the average of the set, k is some constant relevant to the percentile you're finding, and \sigma is one standard deviation.

As I mentioned previously, 90th percentile occurs at 1.282 standard deviations. The average of the set and one standard deviation is already given. Substitute \mu=5, k=1.282, and \sigma=0.1:

X=5+(1.282)(0.1)=5.1282

Therefore, the 90th percentile weight is 5.1282 pounds.

Repeat the process for calculating the 10th percentile weight:

X=5+(-1.282)(0.1)=4.8718

The difference between these two weights is 5.1282-4.8718=\boxed{0.2564\text{ pounds}}.

8 0
2 years ago
Read 2 more answers
Two numbers have prime factorizations of 2 2 · 3 · 5 and 2 · 3 2 · 7.
ladessa [460]
I think for the question above, instead of 2 · 3^2 · 7 it is <span>2 · 3^2 · 5.
</span>
Two numbers have prime factorizations of 2^2 • 3 • 5 and 2 • 3^2 • 5 (note 2 squared & 3 squared).

Now, to choose the GCF, you choose, for each base factor in either number, the least exponent-ed one; so the GCF needs a factor 2, a factor 3, and a factor 5. Thus the GCF is 30 (their product). [i.e,2 squared is not a common factor]

<span>To create the LCM, you choose, for each base factor in either number, the greatest exponented one. Thus, LCM needs a factor 2 squared, 3 squared, and 5, giving LCM = 4(9)(5) = 180.</span><span />
4 0
3 years ago
Read 2 more answers
Sung-Hi is filling a sandbox with sand at the rate shown in the table below. which statement must be true regarding the linear f
lana66690 [7]

Answer:

D. The rate of change must be 20 pounds per minute.

Step-by-step explanation:

At time 0, the amount of sand is 200 lb. Time zero is when it starts, so it is also called the initial time. The initial value is 200 lb, so choices A and B are wrong.

Now look at the difference from time 0 minutes to time 1 minute. The amount of sand went from 200 lb to 220 lb. The amount of sand placed in 1 minute is 20 lb, so the rate of change is 20 lb per minute. That makes choice C wrong and choice D correct.

Answer: D. The rate of change must be 20 pounds per minute.

3 0
3 years ago
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Triangle ABC in quadrant one with side AB of length 2 units, triangle A prime B prime C prime in quadrant four
Anestetic [448]

Answer:

B because they are basically the same AB = 2, there was no change, just a relfection, so A'B' = 2 as well Hope this helped

Step-by-step explanation:

4 0
3 years ago
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