5x+6y=18
5x=18-6y
x=(18-6y)/5
Use that in the other equation
18(18-6y)/5 - 15y = 36
64.8-21.6y - 15y = 36
28.8=36.6y
.7868=y
Now put that number in for y on the first equation
5x+6(.78) = 18
5x + 4.68 = 18
5x = 13.32
x = 2.66
and y = .78
The median of the distribution is 4.
<h3>What is the median?</h3>
A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.
The median is the number at the center of the data set.
Arranging the numbers in the histogram in ascending order is: 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 10
- Total numbers = 21
- Median = 1/2 x (n + 1)
1/2 x 22 = 11th number 4
To learn more about histograms, please check: brainly.com/question/14473126
#SPJ1
Answer:
use FOIL- Firsts Outsides Insides Lasts
- Multiply the -4 and -3 as they are the first numbers of each brackets -4x-3=12
- Next the outsides so -4x6i as they are on the outskirts of each brackets -4x6i= -24i
- Insides so 3i and -3 as they are in the centre of the two brackets 3ix-3= -9i
- Lasts so 3i and 6i as they are at the end of each bracket 3ix6i=18i^2 ( i squared)
- add the answers together - 12+-24i+-9i+18i^2= 12-24i-9i+18i^2
- Simplify by adding like terms which is -24i and -9i.
<h3>12+-33i+18i^2 is the answer </h3>
Hello and Good Morning/Afternoon
<u>Let's take this problem step-by-step</u>:
<u>First step</u>
⇒ consider the fact cotθ = 1 / (tanθ)
<u>Second step</u>
⇒ form a common denominator for the fraction in the 'denominator'
<u>Let's flip over the fraction on the denominator</u>
<u>And there you go, you have </u><u>proved the statement</u> by <u>following these steps!</u>
*note, I used 'x' because the equation creator didn't have 'θ' symbol
Hope that helps!
#LearnwithBrainly
Answer: y = 5
Step-by-step explanation:
This triangle is isosceles.
So, ∠ABC = ∠ACB = 75°
Now,
sum of interior angles of a triangle = 180°
∠ABC + ∠ACB + ∠BAC = 180°
75° + 75° + (4y + 10)° = 180°
160° + 4y° = 180°
4y° = 20°
y = 5
