Given the data set (18,14, 12, 14, 11, 11, 19, 20, 16, 11), which statements are correct?
Anuta_ua [19.1K]
The correct statement is that the <u>range of the data is 9</u>
<h3>Range of a data</h3>
The formula for calculating the range of data is expressed as:
Range = Highest value - Lowest value
From the given data
- Highest value = 20
- Lowest value = 11
Substituting into the formula
Range = 20 - 11
Range = 9
Hence the correct statement is that the <u>range of the data is 9</u>
Learn more on range here: brainly.com/question/2264373
Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem, we have that:
- The vertical distance is the height of h.
- The horizontal distance is of 3m.
Hence:
tan(45º) = h/3.
1 = h/3.
h = 3 m.
If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:



More can be learned about the slope concept at brainly.com/question/18090623
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100 + 8d = 300; d = 25; The kitten will triple its weight in 25 days
Let M = marker cost
Let P = pencil cost
3 markers and 2 pencils cost 1.80 ==> 3M + 2P = 1.80
4 markers and 6 pencils cost 2.90 ==> 4M + 6P = 2.90
Multiply the first equation by (-3) and add it to the second equation
-9M - 6P = -5.40
4M + 6P = 2.90
-5M = -2.50
M = 0.50
Plug this value for M into the 1st equation and solve for P
3*(0.50) + 2P = 1.80
1.50 + 2P = 1.80
2P = 0.30
P = 0.15
So a marker costs 50 cents and a pencil costs 15 cents
Answer:

Step-by-step explanation:
Factor out the common terms, and get: 
Factor
, and get: 
<em>Hope this helps!!</em>