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
34kurt
2 years ago
9

4/ The table shows the heights of players in a basketball team. Height (cm) Frequency a) Work out the mean height of the team. R

ound your answer to 1 decimal place. 198 199 200 2 b) A new player joins the team and raises the mean average height to 201 cm. 201 202 2 Work out the height of this new player.
Mathematics
1 answer:
Tomtit [17]2 years ago
7 0

Answer:

Step-by-step explanation:

Hello!

The table shows the heights in a basketball team.

Height:       198, 199, 200, 201, 202

Frequency:   1,      3,     2,     5,     2

a.) Work out the mean height of the team. Round your answer to 1d.p.

Since the heights of the basketball players is arranged in a frequency table, to calculate the mean you have to use the following formula:

X[bar]= (∑Xfi)/n= (198*1+199*3+200*2+201*5+202*2)/13= 2604/13= 200.307= 200.3 cm

b.) A new player joins the team and raises the mean average height to 201 cm. Work out the height of the new player.

X[bar]ₙ₊₁= 201 cm

This mean was obtained using the same formula as in item a) but with an n'= 14 instead of 13, assuming non of the other players has left the team, so for them ∑Xfi= 2604 cm and "b" will represent the height of the new player:

X[bar]ₙ₊₁=  ((∑Xfi)+b)/(n+1)= (2604+b)/14= 201 cm

2604+b= 201*14

2604+b=2814

b= 2814-2604= 210 cm

The new player's height is 210 cm

I hope this helps!

You might be interested in
The ratio of roses to carnations to daisies in
Leto [7]

Answer:

10

Step-by-step explanation:

10 10 10 1010 10 101 10 10 1o

4 0
2 years ago
Six years less then Tracey age
Lilit [14]
How old is Tracy? Seriously it just says 6 the only number and who is younger than Tracy?!

7 0
3 years ago
Read 2 more answers
A triangle has sides with lengths of 8 millimeters, 15 millimeters, and 17 millimeters. Is it a right triangle?
olga nikolaevna [1]

Answer:

yes.

Step-by-step explanation:

to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².

to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.

we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.

calculation:

a² + b² = c²

a = 8 millimetres

b = 15 millilitres

c = ?

8² + 15² = c²

64 + 225 = c²

64 + 225 = 289.

289 = c²

√289 = c

√289 = 17.

the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.

6 0
3 years ago
I can't be bothered doing my work whats the answer lol​
GrogVix [38]

Answer:

-8a^2 + 9a

or

9a - 8a^2

the answer is c

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many whole weeks are in a year
SOVA2 [1]

Answer:

52 weeks are there in a year

Step-by-step explanation:

365/7

8 0
2 years ago
Other questions:
  • Wilton drives a taxicab. He charges $40 per hour. On Tuesday, Wilton earned $30 in tips while driving customers around for the d
    11·1 answer
  • -7(x+5) simplify <br> Need algebra answer <br> And show my work
    10·2 answers
  • Find the missing number in the given proportion 3:2=6: ?​
    9·1 answer
  • Explain why the product of a nonzero rational number and an irrational number is irrational
    6·1 answer
  • Craig is tiling the floor of his bathroom. He wants 1/4 of the tiles to be brown. What other fractions can represent the part of
    5·1 answer
  • Roger is having a picnic for 78guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot
    8·1 answer
  • Which number sentence is true?
    6·2 answers
  • Help !!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • (iii) A relation between a and b such that point (a,b) isequidistant from the points (8,3) and (2,7)​
    12·1 answer
  • You have a pet hamster and a pet mouse. The hamster weighs 416 of a pound. The mouse weighs 116 of a pound. How much more does t
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!