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svlad2 [7]
3 years ago
6

Find θ, 0° ≤ θ < 360°, given the following information.

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

210°

Step-by-step explanation:

Given

sinΘ = - \frac{1}{2}

Note taken the inverse sine of the positive value of the ratio, gives the related acute angle, that is

Θ = sin^{-1}(\frac{1}{2} ) = 30° ← related acute angle

Thus the required angle in the third quadrant is

Θ = 180° + 30° = 210°

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PLEASE HELP WILL MARK BRAINLIEST
Romashka [77]

Answer:

A.The mean would increase.

Step-by-step explanation:

Outliers are numerical values in a data set that are very different from the other values. These values are either too large or too small compared to the others.

Presence of outliers effect the measures of central tendency.

The measures of central tendency are mean, median and mode.

The mean of a data set is a a single numerical value that describes the data set. The median is a numerical values that is the mid-value of the data set. The mode of a data set is the value with the highest frequency.

Effect of outliers on mean, median and mode:

  • Mean: If the outlier is a very large value then the mean of the data increases and if it is a small value then the mean decreases.
  • Median: The presence of outliers in a data set has a very mild effect on the median of the data.
  • Mode: The presence of outliers does not have any effect on the mode.

The mean of the test scores without the outlier is:

   \bar{x}=\frac{Total of the observations-Outlier value}{n-1} \\=\frac{(86*16)-72}{15} \\=\frac{1304}{15}\\ =86.9333

*Here <em>n</em> is the number of observations.

So, with the outlier the mean is 86 and without the outlier the mean is 86.9333.

The mean increased.

Since the median cannot be computed without the actual data, no conclusion can be drawn about the median.

Conclusion:

After removing the outlier value of 72 the mean of the test scores increased from 86 to 86.9333.

Thus, the the truer statement will be that when the outlier is removed the mean of the data set increases.

4 0
2 years ago
A jar of marbles contains 7 blue marbles, 12 yellow marbles, 8 green marbles, and 5 red marbles. Use this information to answer
AnnZ [28]
Total marbles = 7 + 12 + 8 + 5 = 32
Green marbles = 8
Yellow marbles = 12

P(green ,then yellow) = (8/32)(12/32) = 3/32

Answer: The probability is 3/32
8 0
2 years ago
Rewrite the fractions 1/3 and 3/5 as fractions with a least common denominator
kifflom [539]

3, 6, 9, 12, 15

5, 10, 15

1/3 = 5/15

3/5 = 9/15

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

3 0
3 years ago
Jeremy can row 2/3 of a mile in 1/4 of an hour. What is the unit rate that describes the miles per hour?
svet-max [94.6K]
2.6 repeating miles per hour
4 0
3 years ago
An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is the probability that each of
monitta

Answer:

As a fraction, the answer is exactly 86/969

In decimal form, the answer is approximately 0.08875

=====================================================

Work Shown:

The assumption is that no replacements are made for each selection.

5 red, 6 blue, 8 green

5+6+8 = 19 total

A = P(3 red) = (5/19)*(4/18)*(3/17) = 10/969

B = P(3 blue) = (6/19)*(5/18)*(4/17) = 20/969

C = P(3 green) = (8/19)*(7/18)*(6/17) = 56/969

D = P(3 all same color)

D = A+B+C

D = 10/969 + 20/969 + 56/969

D = (10+20+56)/969

D = 86/969

D = 0.08875

6 0
3 years ago
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