Answer:
2√10
Step-by-step explanation:
Given the following data;
Area of square = 40
Mathematically, the area of a square is calculated by using the formula;
Area, A = s²
Where;
s is the length of sides of a square.
Substituting into the formula, we have;
40 = s²
s = √40
s = √4 * √10
s = 2 * √10
s = 2√10
Answer:
See below
Step-by-step explanation:
The graph is formed from f(x) = |x|.
f(x) = |x| is shaped like a V with the vertex at the origin and the slope of each arm = 1. Then f(x) = |x + 3| will have the same shape but will be moved 3 units to the left so the vertex is at (-3,0). The - 1 ( to give f(x) = |x + 3| - 1) translates the whole graph 1 unit down so the vertex is at the point (-3, -1).
The domain is All Real x and the range = All real values of f(x)
equal or greater than -1.
Answer: Our required probability is 0.99338.
Step-by-step explanation:
Since we have given that
n = 100
p = 0.200
So, 
So, we can apply normal approximation.
Mean = 20
Standard deviation = 
Since 
So, Probability that fewer than 30 but a packet after testing a free sample is given by
Hence, our required probability is 0.99338.
Answer:
f(x) = - 2x - 1
Step-by-step explanation:
Let the linear function f(x) is given by f(x) = ax + b where a and b are unknown constants.
Given that f(0) = -1 and f(2) = -5
Hence, a(0) + b = - 1, ⇒ b = - 1
Again from the condition given
a(2) + b = -5, ⇒ 2a - 1 = - 5, ⇒ 2a = - 4, ⇒ a = - 2.
Therefore, the linear function is f(x) = - 2x - 1 (Answer)
Answer:
The mean tells us soccer players spend more time outdoors overall. The data set for soccer players shows that they have equal amount of variability when compared to the data set for basketball players.
Step-by-step explanation:
The average, the mean, for soccer players is greater, so they spend more time outdoors overall. The range, however, is the same, so they have an equal amount of variability.
