The <u>correct answers</u> are:
16) Mean = 10.25; Median = 10; Range = 17
17) The range.
18) 10
19) 5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.
Explanation:
16) To find the <u>mean</u>, we first find the sum of the data values in the set:
5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.
Next we divide this sum by the number of data points, 24:
246/24 = 10.25.
The <u>median</u> is the middle point of a data set. Since there are 24 points, this will be between two values. These two values are 10 and 10; the median is 10.
The <u>range </u>is found by subtracting the highest and lowest values:
22-5 = 17.
17) The <u>mean </u>is changed; the sum of the data values is 246. Taking 22 out of this, the sum is now 223, and we have 23 data points instead of 24; 223/23 = 9.7 for the new mean.
The <u>median </u>does not change; it is still 10.
The <u>range</u> changes; the highest value is now 15, and the lowest is 5: 15-5=10. The range is changed the most.
18) The <u>mean is affected</u> by the outlier and the <u>median is not</u>, so we use the <u>median</u>. This means the answer is 10.
19) The expression for the total number of cars sold is found by adding together all of the points.
84/60=1.4
210/1.4=150
The answer is 150 cm
Answer: D. 8x² + x + 3
Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.
<h2>What are like terms?</h2>
Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.
<h2>Solve</h2>
(4x² + 1) + (4x² + x + 2) Starting equation from the question
= 4x² + 1 + 4x² + x + 2 Remove brackets
= 4x² + 4x² + x + 1 + 2 Rearrange to group like terms together
= 8x² + x + 1 + 2 Add like terms with the same 'x²' variables
= 8x² + x + 3 Add like terms that are constants
Learn more about adding polynomials here:
brainly.com/question/1311115
Answer:
k = 3
Step-by-step explanation:
Using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A (- 2, 4 ) and (x₂, y₂ ) = P (2k, k)
AP = 
Repeat
with (x₁, y₁ ) = B (7, - 5) and P = (2k, k)
BP = 
Given that AP = BP, then
= 
Square both sides
(2k + 2)² + (k - 4)² = (2k - 7)² + (k + 5)² ← expand factors on both sides
4k² + 8k + 4 + k² - 8k + 16 = 4k² - 28k + 49 + k² + 10k + 25
Simplify both sides by collecting like terms
5k² + 20 = 5k² - 18k + 74 ( subtract 5k² from both sides )
20 = - 18k + 74 ( subtract 74 from both sides )
- 54 = - 18k ( divide both sides by - 18 )
k = 3