Answer:
(4+7i)-2i(2+3i) = 10+3i
Step-by-step explanation:
We need to find the expression that is equivalent to the complex number 10+3i.
Option 1. 2i(4-5i)+(1-7i)
=8i-10i²+1-7i
∵ i² = -1
=8i-10(-1)+1-7i
=8i+10+1-7i
=11+i (incorrect)
Option 2. (4+7i)-2i(2+3i)
=4+7i-4i-6i²
=4+7i-4i-6(-1)
=4+7i-4i+6
=10+3i (Correct)
Option 3. (-3+5i)-3i(4+5i)
= (-3+5i)-12i-15i²
= -3+5i-12i-15(-1)
= -3+5i-12i+15
=12-7i (incorrect)
Option 4. 3i(4+7i)+(11+2i)
= 12i+21i²+11+2i
=12i+21(-1)+11+2i
= 12i-21+11+2i
=14i-10 (incorrect)
Hence, the correct option is (B).
Answer:
26 days
Step-by-step explanation:
If 6 days = rs. 2130
then 1 day = (2130 × 1) ÷ 6
Therefore 1 day = rs 355
For rs. 9230, the number of days he worked:
= 9230 ÷ 355
= 26 days
Answer:
b) 2.7632
Step-by-step explanation:
To find the mean, we multiply each value by it's probability. So
So the correct answer is:
b) 2.7632
Mean is same as average
to find average
add up terms
divided that sum by the number of terms you have
example
mean of x,y,z
x+y+z
3 terms
(x+y+z)/3=mean
so
represent next test score as x
89+94+82+84+98+x
count how many terms ther are (6 terms)
mean is 90
(89+94+82+84+98+x)/6=90
add the like terms
(447+x)/6=90
multiply both sides by 6 to clear fraction
447+x=540
subtract 447 from both sides
x=93
she needs a score of 93 on next test
Your question needs more details. What was the total amount of profits ($) the company had made? One you figure that out you take ($) divided by (#) that will get you amount per person. Then for part two of the question you need how much money is considered a profit them. Once you have that you can they amount they need divide that by cost of a ticket. Then that is your answer. Just plug in the numbers to solve
