Answer:
$37,449
Step-by-step explanation:
<u>First convert 5% into a decimal</u>
.05
<u>Multiply the decimal by Alice's salary</u>
$39,420(.05)=1,971
<u>Now we subtract that answer from her salary this year</u>
$39,420-1,971=$37,449
<h3><u>
Alice's salary last year was $37,449</u></h3>
Answer:
BGHA
Step-by-step explanation:
You have to find all of the coordinates first in the order they are written:
(0,4)
(-4,3)
(2,0)
(0,-1)
Now use the code at the right to find the letters for each coordinate:
(0,4) B
(-4,3) G
(2,0) H
(0,-1) A
Now write it in this order (all caps): BGHA.
Hope it helps and is correct!
Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
<em>Comment:</em> The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit <u>larger</u> than 4. g(5) = |5 - 1| = 4.
Answer:
a) 0.122
b) 3.35 × 10⁻⁴
c) 0.1071
Step-by-step explanation:
Here we have the Poisson process given by

Where:
λ = Rate = 4 bites/hour and
t = Length of time that is
Mean = λt
Where k = 6 fishes bites and t = 2 hours we have

b) The probability that he fails to catch any fishes during the first two hours is the probability t that he catches 0 fish as follows

(c) Here we have

For 1 fish caught in two times we have first time no fish and second time he caches a fish gives
0.122×(1-0.122) = 0.1071