Answer:
; 
is even and greater than zero.
The absolute value function 
Step-by-step explanation:
The power function;
; is even and greater than zero, is symmetric with respect to the positive y-axis.
As 
and as 
The absolute value function also has the same end behavior.
The remaining functions in the options provided do not exhibit this end behavior.
See graph in attachment.
Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:
(b)
Compute the variance of X as follows:
(c)
Compute the value of P(X < 3.7) as follows:
![P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898](https://tex.z-dn.net/?f=P%28X%20%3C%203.7%29%3D%5Cint%5Climits%5E%7B3.7%7D_%7B1.3%7D%7B%5Cfrac%7B1%7D%7B6.2-1.3%7D%7D%5C%2C%20dx%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B4.9%7D%5Ctimes%20%5Bx%5D%5E%7B3.7%7D_%7B1.3%7D%5C%5C%5C%5C%3D%5Cfrac%7B3.7-1.3%7D%7B4.9%7D%5C%5C%5C%5C%5Capprox%200.4898)
Thus, the value of P(X < 3.7) is 0.4898.
Answer:
4.
y= 2/3x + 3
Step-by-step explanation:
By using the distributive property on the right side of the equation you get 2/3x + 2. Then you add 1 to the right side to cancel out the (-1) on the left.
Answer:
b = (d-c)/a
Step-by-step explanation:
ab + c = d
We want to solve for b, so we need to get b alone
Subtract c from each side
ab+c-c = d-c
ab = (d-c)
Divide each side by a
ab/a = (d-c)/a
b = (d-c)/a
Answer:
4.32
Step-by-step explanation:
You can multiply 16 by 0.27 to get the answer.
16*0.27=4.32
You can check your work with estimation because 27% is about 1/4 of the number, and just by looking at the number, 4 is 1/4 of the number.
