Answer:
You use the vertical line test to see if a function is relation is a function
Step-by-step explanation:
A function is a relation with only one output for every input. That means that if the x value and two y values, it is not a function.
Answer:
m =
, b = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Given
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide all terms by - 3 )
y =
x - 2 ← in slope- intercept form
with slope m =
and y- intercept b = - 2
Answer:
The initial amount
Step-by-step explanation:
Given

See comment for complete question
Required
What 5000 represents
The given formula represents an exponential function

Where
initial value
So, by comparison:

<em>In this context, 5000 represents the initial amount</em>
Answer:
looma
Step-by-step explanation:
Answer:
Answered and explained below
Step-by-step explanation:
A) We are told that frequency of the trait is still 1 in 8. Thus, population proportion; p = 1/8 = 0.125
Sample size; n = 150
Formula for mean is;
μ = np
μ = 150 × 0.125
μ = 18.75
Formula for standard deviation is;
σ = √(np(1 - p))
σ = √(150 × 0.125(1 - 0.125))
σ = √16.40625
σ = 4.05
B) usually, when np ≥ 10 , we make use of normal distribution.
I'm this case, it is 18.75 which is greater than 10.
Thus,we can use a normal model to approximate the distribution.
C) we are told that he found the trait in 22 of the frogs.
Thus;
Proportion is now; 22/150 = 0.1467
This is a higher probability that the initial one of 0.125 and we can say that the trait has become more common.