Answer:
(-24, -8)
Step-by-step explanation:
Let us recall that when we have a function f
<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is
at the point (x,y) gives the direction of maximum rate of increasing
at the point (x,y) gives the direction of maximum rate of decreasing
In this case we have
and we want to find the direction of fastest speed of decreasing at the point (-3,-2)
at the point (-3,-2) minus the gradient equals
hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.
Given statement is "does the value of money in a savings account increase over time?"
Then we have been given four different choices.
Now we need to select correct choice from them.
In saving account usually user deposits some money and bank gives some interest on that money. So In any case future value which is sum of deposited money and the earned interest will be more than the present value.
So the correct matching choice is <u>"D. because it earns interest."</u>
Answer:
0.035547
Step-by-step explanation:
We would be using z score formula to solve for this question
The formula for calculating a z-score is is
z = (x-μ)/σ
where x is the raw score = 18 in
μ is the population mean = 10.6 in
σ is the population standard deviation = 4.1 in
z score = 18 - 10.6/ 4.1
z score = 7.4 /4.1
z score = 1.80488
Using the normal distribution table to find the probability for the z score of 1.80488
Probability value from Z-Table:
P(z = 1.80488) = 0.96445
The probability that a fish caught there will be longer than 18 in is calculated as:
P(x>18) = 1 - P(z = 1.80488)
= 1 - 0.96445
= 0.035547
