<h3>
Answer: 5 - 4i (choice A)</h3>
===================================================
Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
-----------
Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
Answer:
<h2>13x - 1. Term</h2><h2>5y - 1. Term</h2><h2>13 - 3. Coefficient</h2><h2>2 - 2. Constant</h2><h2>5 - 3. Coefficient</h2><h2>y - 4. Variable</h2><h2>3 - 2. Constant</h2><h2>x - 4. Variable</h2>
Step-by-step explanation:
<h3>13x + 5y - 2 = 3</h3><h3 /><h3><u>Term</u> has a <em>number and also a variable</em>. </h3><h3>Ex.: 5y</h3><h3 /><h3><u>Constant</u> is any <em>number without a variable</em>.</h3><h3>Ex.: 3</h3><h3 /><h3><u>Coefficient</u> is the <em>number in a term</em>.</h3><h3>Ex.: 13</h3><h3 /><h3><u>Variable</u> is any <em>letter</em> in the equation.</h3><h3>Ex.: x</h3><h3 />
Answer:
13or-13
Step-by-step explanation:
x+5=18 -5
x=15
Answer:
farther
Step-by-step explanation:
The negative sign means that it is 10 feet down while -8 is only 8 feet down
Answer:
a. The mean would be 0.067
The standard deviation would be 0.285
b. Would be of 1-e∧-375
c. The probability that both of them will be gone for more than 25 minutes is 1-e∧-187.5
d. The likelihood of at least of one of the taxis returning within 25 is 1-e∧-375
Step-by-step explanation:
a. According to the given data the mean and the standard deviation would be as follows:
mean=1/β=1/15=0.0666=0.067
standard deviation=√1/15=√0.067=0.285
b. To calculate How likely is it for a particular trip to take more than 25 minutes we would calculate the following:
p(x>25)=1-p(x≤25)
since f(x)=p(x≤x)=1-e∧-βx
p(x>25)=1-p(x≤25)=1-e∧-15x25=1-e∧-375
c. p(x>25/2)=1-p(x≤25/2)=1-e∧-15x25/2=1-e∧-187.5
d. p(x≥25)=1-e∧-15x25=1-e∧-375