Answer:
Step-by-step explanation:
Hello There!
We can solve for x using trigonometry
More specifically the law of sines
In the image you can see that a side length divided by sin(its opposite angle) is equal to another side length divided by sin(its opposite angle)
so to find x we use this equation
step 1 multiply each side by sin 59
now we have
so we can conclude that x = 14.6
<em>Since we are given with the three sides of the triangle and asked to determine the angle, we can use the cosine law.</em>
<em> b² = a² + c² - 2ac(cosB)</em>
<em>Substituting the known values,</em>
<em> (1.8)² = (2.4)² + (1.6)² - 2(2.4)(1.6)(cosB)</em>
<em>The value of B from the equation is 48.6°. </em>
Answer:
Step-by-step explanation:
given that Etsy is an e-commerce website focused on handmade or vintage items and supplies, as well as unique factory-manufactured items. A shop owner on Etsy sells printed t-shirts and she wants to know what level of inventory she should maintain for the month of January. She gathers the January inventories of 8 other shop owners who sell printed t-shirts on Etsy. Their t-shirt inventories are listed below.
59 84 90 54 42 45 77 85
a) Mean = total /8 = 536/8 = 67
For median arrange in ascending order
42 45 54 59 77 84 85 90
Middle entries are 59 and 77
b) Median = average of 59 and 77 = 68
c) If highest changes to 100, data set becomes
42 45 54 59 77 84 85 100
sum increases by 10 i.e. 546
Mean = 546/8 = 68.25
Median will not change remain the same = 68
Mean increases and median stays the same
d) If Var = 369.1429
std dev = square root of variance
= 19.2131
e) Part b answer is the II quartile
f) Mean = 67 and median = 68
Mean < median
So negatively skewed shape
110 and 294 are the outliers because their difference in value from other data is large.
<h3>What are outliers?</h3>
- An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.
<h3>sample of data</h3>
Given the sample data 110, 196, 197, 199, 205, 208, 209, 210, 210, 294, we need to get the outliers that are an observation that lies an abnormal distance.
From the data, we can see clearly that 110 and 294 are the outliers. Their difference in value from other data is large.
Learn more on outliers here: brainly.com/question/2749543
Answer:
(a) see attachment
(b) E(x) = 226/105
Step-by-step explanation: see attachment
