Answer:
Multiply by ∛2 and translate the graph to left by 4 units.
Step-by-step explanation:
The initial function given is:
y = -∛(x - 4)
The transformed function is:
y = -∛(2x - 4)
Consider the initial function.
y = -∛(x - 4)
(Represented by Black line in the graph)
Multiply the function by ∛2. The function becomes:
y = -∛(x - 4) × ∛2
y = -∛(2)(x-4)
y = -∛(2x-8)
(Represented by Red line in the graph represents this function)
Translate the graph 4 units to the left by adding 4 to the x component:
y = -∛(2x-8+4)
y= -∛(2x - 4)
(Represented by Blue line in the graph)
Answer:
C
Step-by-step explanation:
In this question, we are interested in calculating the z-score of a company employee.
Mathematically;
z-score = (x- mean)/SD
where in this case;
x is the value given which turns out to be the annual salary of the employee = 28,000
Mean = 34,000
standard deviation = 4,000
Plugging these values into the equation above, we have;
z-score = (28000-34000)/4000 = -6000/4000 = -1.5
Answer:
a. 12
b. 7.200 and 2.683
Step-by-step explanation:
The computation is shown below:
Given that
P = 0.40 and n = 30
a)
The expected value of received e-mails is
= n × p
= 30 × 0.4
= 12
b)
The variance of emails received is
= n × p × (1 - p)
= 30 × 0.4 × 0.6
= 7.200
Now
The standard deviation of emails received is
= sqrt(variance)
= 2.683
We simply applied the above formula
If there's 100 cookies, of which there are 40 oatmeal raisin and 10 sugar cookies, there are 50 out of 100 cookies which you want. Hence by chance, there is a 50/100, or 1 in 2 chance of you obtaining an oatmeal raisin or a sugar cookie.
