Answer:
(- 2, 4 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 = - 3(x + 2) ← is in point- slope form
with (a, b ) = (- 2, 4 )
A negative nonlinear association
A positive linear association
A positive nonlinear association
A negative linear association
Answer: A negative linear association
Step-by-step explanation:
From the given table in the picture , it can be seen that as the time is increasing the amount of water in tank decreases, it indicates that there is a negative association between the two variables.
Also, the rate of change in amount of water is constant as 0.5 gallon per hour.
It implies there is a linear association.
Now, the scatter plot for this data represents there is a negative linear association between the number of hours and the amount of water in the tank, in gallons.
Answer:
see below
Step-by-step explanation:
You solve an equation by undoing what is done to the variable. When the variable is squared, as here, you undo the squaring by taking the square root. Any operation you do on one side of the equation must also be done on the other side. Hence, you take the square root of both sides of the equation.
0.8
0.08
0.4
To find the percentage of people with an IQ score between 83 and 117, we need to find the area under the bell-shaped curve between these two scores.
First, we need to standardize the scores by subtracting the mean from each score and dividing by the standard deviation.
For a score of 83:
Standardized score = (83 - 100) / 17 = -1
For a score of 117:Standardized score = (117 - 100) / 17 = 1
Now, we can find the area under the curve between these standardized scores using a standard normal distribution table or calculator.
Using a standard normal distribution table, we can find the area for a standardized score of -1 as 0.1587. This represents the percentage of people below a score of 83.
Similarly, the area for a standardized score of 1 is 0.8413, representing the percentage of people below a score of 117.
To find the area between these two scores, we subtract the area below 83 from the area below 117:
0.8413 - 0.1587 = 0.6826
So approximately 68.26% of people have an IQ score between 83 and 117.