Answer:
A. g(x) = -2^x.
Step-by-step explanation:
If g(x) = -2, it would be a straight line running horizontally.
If g(x) = -x, it would be a linear equation.
If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.
So, the remaining answer is that A. g(x) = -2^x.
Hope this helps!
Answer:
A. The data set would have a linear association.
C. The data set would have a positive correlation.
E. Every student earns 16 more points for each additional hour they study.
F. Students that study more tend to earn better grades on the test.
Step-by-step explanation:
Since in the question it is mentioned that the teacher obtained data with regard to the number of hours that students spent for their test and on their results. She found that on an average for each 30 minutes studied, the graded would rise by 8 points
Now this kind of relationship represents the linear association, positive correlation and study more earn better
Therefore the above three statements are true
Answer:
11 or -16
Step-by-step explanation:
The square of a number increased by 5 times the number is equal to 176.
Let the number be x
Then, x²+5x=176
x²+5x-176=0
We use splitting the middle term method
x²+16x-11x-176=0
x(x+16)-11(x+16)=0
(x-11)(x+16)=0
i.e. either x-11=0 or x+16=0
i.e. either x=11 or x=-16
Hence, the number is either 11 or -16
Given:
z = (x - μ)/σ = z value
x = independent variable = 11
μ = mean = 8
σ = standard deviation = 3
Solution:
X ~ N (8, 3)
For day 1, n = 5
P (X < = 11) = P (Z < = 11 – 8 / 3/Sqrt5) = P (Z <
=2.23) = 0.987126
For day 1, n = 6
P (X < = 11) = P (Z < = 11 – 8 / 3/sqrt6) = P (Z <
=2.45) = 0.992857
For both days:
P (X <= 11) = P (X <= 11) = (0.987126) (0.992857) =
0.9801
A. Joint frequency, it’s right I checked it myself
