The answer would be 23i.
Simplify ( 26 + 16i - 26 + 7i )
Gather like terms ( 26 - 26 ) + (16i + 7i)
Simplify (23i)
Answer:

Step-by-step explanation:
Simple interest is where interest is only accumulated on the principle, so at 4.5% for 5 years, 22.5% is added to the principal.
Answer:
The time a student learns mathematics is important for their score
Step-by-step explanation:
Observe the boxes diagrams. Where the horizontal axis represents the score obtained by the students in the test.
The vertical lines that divide the boxes in two represent the value of the median.
The median is the value that divides 50% of the data.
For the class of the morning the value of the median is 50 points, with a maximum value of 80 and a minimum value of 10.
For the afternoon class, the median value is 65 points with a minimum value of 30 and a maximum value of 100.
This indicates that in general, the highest number of high scores were obtained in the afternoon class.
Therefore it can be said that the time a student learns mathematics is important for their score
Answer:
37.68
Step-by-step explanation:
C(circumference)= 2pi r
If the diameter is 12, the r adius is 6
plug into equation
2(pi)(6)
=12pi
=37.68
Answer:
Step-by-step explanation:
Since the distance travelled on 1 gallon of fuel is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the distance travelled.
µ = mean distance
σ = standard deviation
From the information given,
µ = 50 miles
σ = 8 miles
A) P(x > 53) = 1 - P(x ≤ 53)
For x = 53,
z = (53 - 50)/8 = 0.38
Looking at the normal distribution table, the probability value corresponding to the z score is 0.648
B) P(x < 42)
For x = 42
z = (42 - 50)/8 = - 1
Looking at the normal distribution table, the probability value corresponding to the z score is 0.1587
C) P(44 ≤ x ≤ 53)
For x = 44
z = (44 - 50)/8 = - 0.75
Looking at the normal distribution table, the probability value corresponding to the z score is 0.2266
For x = 55,
z = (55 - 50)/8 = 0.63
Looking at the normal distribution table, the probability value corresponding to the z score is 0.7357
Therefore,
P(44 ≤ x ≤ 53) = 0.7357 - 0.2266 = 0.5091