3y=2(2+2y); 3y=4+4y; -y=4; y=-4;
Answer: 2, 9, 14, 17, 19
Step-by-step explanation:
A box plot uses the values: minimum, maximum, median, first quartile and third quartile.
First sort the data from lowest to highest.
2,8,9,11,14,15,17,19,20
Thus, the minimum, or Data Point 1 is 2.
Then find the median.
8,9,11,14,15,17,19
9,11,14,15,17
11,14,15
14
Thus, the median, or Data Point 3 is 14.
For the 1st and 3rd quartile, simply, ignoring the median, find the median of the first and second half of the data.
8,9,11
9
Thus, the first quartile, or Data Point 2 is 9.
15,17,19
17.
Thus, the third quartile, or Data Point 4 is 17.
The maximum of the data, or Data Point 5 is 19.
On = 38 - 9n
Step-by-step explanation:
Note the common difference d between
consecutive terms
d= 20 - 29 = 11 - 20 = - 9
This indicates the sequence is arithmetic with n
th term
On
= apt (n - 1)d
where a, is the first term and d the common
difference
Here a, = 29 and d=- 9, thus
An = 29 - 9 (n - 1) = 29 - 9n + 9 = 38 - 9n
Answer: D : x ∈ (1, ∞)
Step-by-step explanation:
for a function y = f(x)
The range is the set of possible values of y.
The domain is the set of the possible values of x.
We want to find the domain on which the function is increasing.
A function is increasing if, reading from left to right, the "y" value of the function increases (or the graph goes upward)
Then we need to see on which point the graph starts going up. We can see that this happens at the vertex of the parabola, at x = 1, and it keeps increasing infinitely.
then we can write this domain as:
D : x ∈ (1, ∞)
Answer:
The length of the arc is 221π/18 ft or 38.55 ft
Step-by-step explanation:
Given
Subtended angle, θ = 17π/18
Radius, r = 13 ft
Required
Length of the arc.
When an angle is given in radians, the length of the arc is calculated using the formula below
Length = rθ
By substituting
Length = 13 * 17π/18
Length = 221π/18
The answer can be left in this form.
But for simplification purpose, I'll solve further.
Taking π as 3.14
Length = 221 * 3.14/18
Length = 693.94/18
Length = 38.552222
Length = 38.55 ft (Approximated).
Hence, the length of the arc is 221π/18 ft or 38.55 ft
