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Elenna [48]
3 years ago
11

What is the median of 76, 84, 93, 67, 82, 87, and 76?

Mathematics
1 answer:
Ahat [919]3 years ago
8 0
The median of a set of numbers is the midpoint of the set if you were to organize the numbers from least to greatest or greatest to least. So, all we have to do is rearrange the numbers from least to greatest and find the midpoint:
67   76   76   82   84   87   93
count 3 in from both sides and the remaining number is 82, which is the median.
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in a class of 20 students, 40% are boys. 25% of the boys and 50% of the girls wear glasses. How man students wear glasses?
statuscvo [17]
20 students.

40% are boys. (40/100)*20 = 0.4 * 20 = 8 boys.
Girls= 20 - 8 =  12 girls.

25% of the boys wear glasses. = (25/100)*8 = 0.25*8 = 2 boys wear glasses.
50% of the girls wear glasses. = (50/100)*12 = 0.50*12 = 6 girls wear glasses.
   
Total students that wear glasses = 2 + 6 = 8 students.
8 students wear glasses.
7 0
3 years ago
For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?​
konstantin123 [22]

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1

After solving we get value of y=-1

Now putting in eq(1) to get value of x

x+2y=0\\x+2(-1)=0\\x-2=0\\x=2

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3

So, After solve the equations we get value of k=3

4 0
3 years ago
The angles in a triangle are in the ratio 1:2:3 a) Show that the triangle is a right -angled triangle b) The hypotenuse of the t
Hitman42 [59]

Answer:

8.5 cm

Step-by-step explanation:

Angles of the triangle:

  • x+2x+3x= 180
  • 6x= 180
  • x= 30
  • 30°, 60° and 90°

Right triangle as it has 90° angle

Sides are a, b and 19 cm

  • sin 30°= a/19 ⇒ a= 19 sin 30°= 19*0.5= 8.5 cm  = shortest side
  • sin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cm
5 0
3 years ago
A passenger train leaves the train station 5 hours after a freight train left the same station. The freight train is traveling 3
vitfil [10]

Answer:

first one

Step-by-step explanation: doesnt mention the number 8 variable anywhere

4 0
3 years ago
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Herman has a box in the shape of a rectangular prism with a length of 15 centimeters, a width of 712 centimeters, and a height o
Drupady [299]
Zero.

None of the 14 cm cubes will fit within the 8 cm height.
8 0
3 years ago
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