Answer:

Step-by-step explanation:
A function satisfying the equation
is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form
with
even. Observe that if
is twice differentiable we can derivate using the chaing rule as follows:
implies 
Applying the chain rule again we have:
implies 
So we have that function
is also an even function.
Answer:
<u>The correct answer is A. 3,120.</u>
Step-by-step explanation:
Let's solve the expression for x = -5 and y = 25, this way:
(5|x| - y³)/x
Replacing x and y, we have:
(5 * 5 - 25³)/-5 (Absolute value of -5 is 5 in the numerator but we keep it without changes in the denominator)
(25 - 15,625)/-5
-15,600/-5
3,120
<u>The correct answer is A. 3,120.</u>
Answer: -2.5
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given the mean is 3.2, standard deviation is 0.8 and the sample size is 64.
-We calculate the probability of a mean of 3.4 as follows:
#First determine the z-value:

#We then determine the corresponding probability on the z tables:

Hence, the probability of obtaining a sample mean this large or larger is 0.0228
Answer:
17
Step-by-step explanation: