Answer:
B. Increasing in x < -1 and decreasing in x > -1.
Step-by-step explanation:
We are given the graph of a function and is required to find the interval in which the function is increasing, decreasing or constant.
Now, from the graph we can see that the critical point i.e. the point at which the graph changes the direction is x = -1.
We observe that the function on the left side of x = -1 is going upwards to reach the point x = -1 and the function on the right side of x = -1 is going downwards.
Hence, we get that the function in increasing in x < -1 and decreasing in x > -1.
Answer:
The proportion of temperatures that lie within the given limits are 10.24%
Step-by-step explanation:
Solution:-
- Let X be a random variable that denotes the average city temperatures in the month of August.
- The random variable X is normally distributed with parameters:
mean ( u ) = 21.25
standard deviation ( σ ) = 2
- Express the distribution of X:
X ~ Norm ( u , σ^2 )
X ~ Norm ( 21.25 , 2^2 )
- We are to evaluate the proportion of set of temperatures in the month of august that lies between 23.71 degrees Celsius and 26.17 degrees Celsius :
P ( 23.71 < X < 26.17 )
- We will standardize our limits i.e compute the Z-score values:
P ( (x1 - u) / σ < Z < (x2 - u) / σ )
P ( (23.71 - 21.25) / 2 < Z < (26.17 - 21.25) / 2 )
P ( 1.23 < Z < 2.46 ).
- Now use the standard normal distribution tables:
P ( 1.23 < Z < 2.46 ) = 0.1024
- The proportion of temperatures that lie within the given limits are 10.24%
Answer:
It's the second choice
Step-by-step explanation:
Have a great day or night r evening! :)
Answer:
Step-by-step explanation:
y=mx+b where m is the slope and b is the y intercept
m=(y2-y1)/(x2-x1), we have points (6,0) and (1,-1)
m=(-1-0)/(1-6)=1/5 so we have
y=x/5+b, using point (6,0) we can solve for b
0=6/5+b
b=-6/5
y=x/5-6/5 or more neatly
y=(x-6)/5
