We want to see if the given function represents a linear function.
We will see that yes, it does.
So we have the function:
y = f(x) = 30 + 5*x
And a general linear function is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
Comparing these two, we can see that both have the same general shape, thus, our function is also a linear function.
A graph of our function also can be seen below, where it is evident that it is a line.
If you want to learn more, you can read:
brainly.com/question/20286983
Answer:
B.4
Step-by-step explanation:
Plug in the numbers. it will be 24=2m(4) since u plug in 24 for j and 3 for n. 24=2m(3). This will be 24=6m. Divide by 6. m=4
Answer:
g o f = -[f(x)]² + 3 = -(|x|)² + 3 = -x² + 3 = g(x)
Step-by-step explanation:
g o f = g [ f(x) ]
This means replace the x of g(x) with f(x):
g o f = -[f(x)]² + 3 = -(|x|)² + 3
As x² ≥ 0 for any value of x (whether it be positive or negative), then -(|x|)² + 3 = -x² + 3 = g(x)
So g o f = g(x)
Answer:
a) 4.387
b) Yes, because np & npq are greater than 10.
c) = 0.017
Step-by-step explanation:
Give data:
p = 0.69
n = 90
a) a
E(X) = np = 62.1


= 4.387
b)
np = 62.1
q = 1 - p = 1 - 0.69 = 0.31
npq = 19.251
Yes, because np & npq are greater than 10.
c.
[continuity correction]

= P(Z> 2.14 )
= 1 - P(Z<2.14)
= 1 - 0.983 (using table)
= 0.017