On a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 finance majors averaged 93. What is the weighted mean for all 32 students taking the exam?

Answers

Answer 1

Answer:

Answer:

89.84375

Step-by-step explanation:

Given that on a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 finance majors averaged 93.

To find weighted mean.

Here weights can be considered as number of majors in each subject

$Marks x 90 85 93\nWeights 15 7 10\nProduct 1350 595 930\n$

Weighted total = 1350+595+930 = 2875

Weighted mean = weighted total/total students

$=(2875)/(32) =89.84375$

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Solve the following system of equations for all three variables.5x−2y+z = 8
−9x+2y+2z = 5
−9x−2y−5z = 4

Answers

  5x - 2y + 1z = 8 ⇒   5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9x - 2y - 5z = 4 -4x + 3z = 13

5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9z - 2y - 5z = 4 ⇒ -9x - 2y - 5z = 4
-18x - 3z = 9

-4x + 3z = 13
  -18x - 3z =   9
-22x = 22
  -22 -22
  x = -1
  -18x - 3z = 9
-18(-1) - 3z = 9
18 - 3z = 9
- 18 - 18
-3z = -9
-3 -3
z = 3

5x - 2y + z = 8
5(-1) - 2y + 3 = 8
-5 - 2y + 3 = 8
-2y - 5 + 3 = 8
-2y - 2 = 8
  + 2 + 2
  -2y = 10
-2   -2
y = -5
  (x, y, z) = (-1, -5, 3)

23% of a number is 46 what is the number?

Answers

Every percent is 2. so if you do 2 multiplied by 100 then the answer is 200 so 200 is the number.

Please see the pic, I's solved in it.

A monster truck tire will travel will travel 12.56 ft in one revolution. What is the radius of the tire?

Answers

If it travels 12.56 ft in one revolution, then the circumference of the tire is 12.56 ft.
Circumference = 2 x π x radius
12.56=2 x 3.14 x radius
radius x 6.28=12.56

Radius= 2 ft

Hope this helps :)

1 revolution
the part that touches the ground makes 1 full circle
therefor 12.56 is the cirvmerncere
circumfrence=2pir
12.56=circumfrence
12.56=2pir
divide both sides by 2
6.28=pir
aprox pi to 3.14 and divide both sides by 3.14
2=r

radius=2 feet

Please help solve im stuck!

Answers

Answer:

Step-by-step explanation:

The statement that is not true (an exception is easily created) is C

Draw a 1 by 4 rectangle.

Underneath it draw a 2 by 2 rectangle.

They both have the same area (4 units) but they are not congruent. The corresponding lengths are not equal and that is another condition that must be met for there to be congruence. There are many others.

Draw a 2 by 2 square.

draw a triangle with a base of 1 and a height of 8. These two figures have the same area, but they don't even have the same number of sides.

C is simply not true.

Y=2/3x+5 in standard form

Answers

$y= (2)/(3)x+5 \n \n -(2)/(3)x+y=5 \ \ / *(-3) \n \n(-3)\cdot -(2)/(3)x+(-3)\cdot y=(-3)\cdot 5\n \n2x-3y =-15$

Find (f∘g)(x).f(x)=5x+1
g(x)=2x
Write your answer as a polynomial in simplest form.

Answers

(f o g)=f(g(x))
just sub
f(g(x))
sub g(x) for x in f(x)
g(x)=2x
2x=x in f(x)
f(g(x)=f(2x)=5(2x)+1=10x+1

(f o g)=10x+1

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What is square root of 26