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3 years ago

Which number from the data set 1, 1, 1, 2, 2, 3, 4, 5,5, and 25 is an outlier?

Mathematics

1 answer:

timofeeve [1]3 years ago

6 0

Outliers are like outcasts of the group
Which number is farthest away from the average?
1-5 seems to be average

Solution: 25 is the outlier

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Write expression as a sine or cosine of an angle.<br>cos 94° cos 18° + sin 94° sin 18°

MArishka [77]

<h3>Answer: cos(76)</h3>

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

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

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We can verify this by use of a calculator. Make sure your calculator is in degree mode.

cos(94)cos(18) + sin(94)sin(18) = 0.24192
cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

6 0

3 years ago

Beth is particularly susceptible to getting strep throat. If she is infected with one streptococcus pygenes bacterium. And it ha

Neko [114]

Add a snowman amen amen Carmen caravanserais consisted

6 0

3 years ago

N divided by 10 =32.7

sukhopar [10]

N/10 = 32,7
N = 32,7*10
N = 327

5 0

3 years ago

help me its easy Triangle DOG is an isosceles triangle with DO = OG, and mD = 18. What is mO? A. 18 B. 36 C. 144 D. 162

S_A_V [24]

Angle D and angle G are the base angles, which means they are equal. If D = 18, then G = 18. Since the sum of the angles of a triangle equals 180 degrees, subtract 18 + 18 from 180 to get angle O.
180 - 36 = 144
Angle O = 144

Hope this helps =)

4 0

3 years ago

Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women w

Karo-lina-s [1.5K]

Answer:

1. C) H0: u = 63.7 in. versus H1: u > 63.7 in.

2. B). There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

3. B) Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.

Step-by-step explanation:

1. C) H0: u = 63.7 in. versus H1: u > 63.7 in.

the null hypothesis state that over the years the mean height is 63.7in. the alternative hypothesis will be if the mean height is greater than 63.7

2. z = (variate - mean)/ (standard deviation/ $\sqrt{N}$

Z = (64.2 - 63.7)/ (20/roots 45) =0.17

meaning there is

B. There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

3. if the level of significance is 0.05 or between 0.05 and 0.01, i.e. the confidence level is 95% or between 95% and 99%, the results are considered to be probably significant, i.e. the results are probably correct,

therefore, the alternative hypothesis is correct

B) Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.

8 0

3 years ago