1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s344n2d4d5 [400]
3 years ago
15

Micheal's mean score for five tests was 82. if four of those tests were 83,75,93, and 67, what was the fifth score on his test?

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Let T represent the fifth test score. The average is the sum of scores divided by their number.

... 82 = (83 +75 +93 +67 +T)/5

... 410 = 318 +T . . . . . . . multiply by 5

... 92 = T . . . . . . . . . . . . subtract 318

The fifth score was 92.

_____

One of the ways I like to work problems like these is to add the differences from the mean. Those are ...

1, -7, 11, -15

so their sum is -10.

The final score must be 10 above the mean in order for this total to be zero. 10 above the mean is 92.

You might be interested in
A rectangle has a width of 46 centimeters and a perimeter of 204 centimeters. What is the rectangle’s length?
Vanyuwa [196]

Answer:

Length = 56

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

Perimeter = 2L + 2W

2L + 2W = 204

2L + 2(46) = 204

2L + 92 = 204

Subtract 92 from both sides

2L = 112

Divide both sides by 2

L = 56

Length = 56

7 0
3 years ago
Solve the following equation for y.<br>x-5y=-18<br>​
olganol [36]

Answer:

y=15x+185

Step-by-step explanation:

Step 1: Add -x to both sides.

x−5y+−x=−18+−x

−5y=−x−18

Step 2: Divide both sides by -5.

−5y−5=−x−18−5

y=15x+185

6 0
3 years ago
Prove that a triangle with the sides a - 1 cm to root under a ​
vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.  

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm  

Hence,

{AB}^2 = (a -1)^2 

Now We know that

(a- b)^2 = a^2+b^2 - 2ab

So;

{AB}^2= a^2 + 1^2 -2\times a \times1

{AB}^2 = a^2 + 1 -2a

Now;

{BC}^2 = (2\sqrt{a})^2= 4a

Also;

{CA}^2 = (a + 1)^2

Now We know that

(a+ b)^2 = a^2+b^2 + 2ab

{CA}^2= a^2 + 1^2 +2\times a \times1

{CA}^2 = a^2 + 1 +2a

{CA}^2 = AB^2 + BC^2

[By Pythagoras theorem]

a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a

Hence, {CA}^2 = AB^2 + BC^2

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0
3 years ago
Which features describe the graph? Select all that apply
victus00 [196]

Answer:

- Decreasing  

Step-by-step explanation:

im not sure of the last two but the others are for sure a no

8 0
3 years ago
Segment addition postulate <br><br> Find PQ
Readme [11.4K]

Answer:

PQ = 4

Step-by-step explanation:

As ; PQ=QR

PR = 8

PR= PQ+QR —> 8 = 2x —> x= 8/2 = 4

SO ; PQ = 4 , QR = 4

I hope I helped you^_^

8 0
3 years ago
Read 2 more answers
Other questions:
  • Noah wants to buy a popsicle for all 200 fourth grade students. The popsicles come in boxes of 8. P represents the number of box
    9·2 answers
  • Unit Test
    5·2 answers
  • Please help....There are 42 boys and girls participating in an essay-writing competition. Of the competitors, 21 are in seventh
    15·2 answers
  • A sound receiving dish used at outdoor sporting events is constructed in the shape of a paraboloid, with its focus 8 inches from
    14·1 answer
  • Find the area of the trapezoid to the nearest tenth
    8·1 answer
  • HELPPPPPP
    15·1 answer
  • Mrs. thomas has 18 cups of popcorn. she wanted to divide the popcorn into 2/3 cup bags.how many bags can she make ?
    11·1 answer
  • Search results for "A bottle of root beer contains 4/5 of a liter how much root beer is in 3 bottles"
    13·1 answer
  • F (x) = -(x + 1)<br> What is the y intercept
    7·1 answer
  • I need help asap please? and this is for the math question? what is 77x+93=360? put in a fraction and decimal and you can round
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!