answer.
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
gavmur [86]
2 years ago
14

A golfer recorded the following scores for each of four rounds of golf: 86, 81, 87, 82. The mean of the scores is 84. What is th

e sum of the squared deviations of the scores from the mean?
Mathematics
1 answer:
Bezzdna [24]2 years ago
3 0

Answer:

26

Step-by-step explanation:

Subtract the mean (84) from each of the four scores, obtaining

2, -3, 3, - 2

These are the "deviations."

Next, square each of these four deviations, obtaining

(2)^2 = 4, and:

(-3)^2 = 9, and:

(3)^2 = 9, and:

(-2)^2 = 4

Then the sum of the squared deviations of the scores from the mean is 26.

You might be interested in
The acceleration due to gravity on Earth is 32 ft/sec2. A tomato is dropped from 100 feet above the ground. Give units in your a
tensa zangetsu [6.8K]

Answer:

a) the final velocity is v=80 ft/s

b) the time required is 2.5 seconds

Step-by-step explanation:

The final velocity is related with the acceleration through

v² = v₀² + 2*g*h

where

v₀= initial velocity= 0 (dropped from test)

g = acceleration

h = height

replacing values

v² = v₀² + 2*g*h = 0² + 2*32 ft/s² * 100 ft = 6400  ft²/s²

then

v= √6400  ft²/s² = 80 ft/s

the tomato hit the ground at v=80 ft/s

h₀= h + v₀*t - 1/2*g*t²  

since h₀=0 ( initial height) and v₀=0

0= h - 1/2*g*t²  

t = √(2*h/g)

replacing values

t = √(2*h/g) = √(2*100 ft / 32 ft/s²) = 10/4 s =2.5 s

t =2.5 seconds

3 0
2 years ago
A salesperson earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns $4,800
notsponge [240]

Answer:

C; $2,800

Step-by-step explanation:

Let the amount earned per truck sales be $t and the amount earned per car sales be $c

Selling 6 cars and 3 trucks earned a total of $4,800

This mathematically means;

6c + 3t = $4,800 •••••••••(i)

Selling 8 cars and 1 truck earned a total of $4,600

This mathematically means;

8c + t = $4,600 ••••••••(ii)

Now, we solve both equations simultaneously;

From equation ii, t = 4600 -8c

we plug this in equation i

6c + 3(4600-8c) = 4,800

6c + 13,800 - 24c = 4,800

18c = 9000

c = 9,000/18

c = 500

in second equation;

t = 4,600 - 8c

inputing the value of c, we have;

t = 4,600 -8(500)

t = 4,600 - 4,000

t = 600

Now we want to know how much commission earned on selling 2 cars and 3 trucks.

That will be 2c + 3t = 2(500) + 3(600) = 1000 + 1,800 = $2,800

8 0
2 years ago
Read 2 more answers
PLEASE HELP I NEED THE AWNSER IMMEDIATELY! A package of 19 medicated cough
finlep [7]

Answer:

option d is correct-$0.05 per cough drop.

<em>Explanation</em><em>:</em>

19 medicated cough drops cost=$0.99

1 medicated cough drop cost=0.99×1/19

=0.05

So, the cost of per cough drop is $0.05

Hope u like it

<em>PLZ</em><em> </em><em>MARK</em><em> </em><em>ME</em><em> </em><em>AS</em><em> </em><em>BRAINLIEST</em><em> </em><em /><em>♥️</em>

3 0
2 years ago
Read 2 more answers
James is the manager at an entertainment arena that draws an average 7,000 patrons per event. Each ticket taker can process 350
Elina [12.6K]

Answer:

No. James didn't have enough ticket takers to process the average number of patrons hat usually attend the events.

He need to hire 2 more ticket taker (i.e 20 ticket takers) in order to process the average number of patrons hat usually attend the events.

Step-by-step explanation:

Given:

Average amount of patron per event= 7000

Each ticket taker can process = 350

Number of ticket takers hired = 18

We need to find the whether he hire enough to process the average number of patrons that usually attend the events.

Solution:

We will find the Average amount of patron ticket takers can process.

Now we can say that

Average amount of patron ticket takers can process is equal to Each ticket taker can process multiplied by Number of ticket takers hired.

framing in equation form we get;

Average amount of patron ticket takers can process = 350 \times 18 = 6300\ patrons

Hence With the required hires James cannot fully process the patrons usually attending the event.

To find how many ticket takers required we will divide average number of patrons with  Each ticket taker can process.

framing in equation form we get;

ticket takers required = \frac{7000}{350}=20

hence In order t process the the average number of patrons that usually attend the events James will require 20 ticket takers.

6 0
2 years ago
Chicxulub is a crater on the Yucatán Peninsula of Mexico. It was formed 6.5 × 107 years ago. Vredefort crater in South Africa wa
Rus_ich [418]

Answer: The oldest one is Vredfort Crater.

Step-by-step explanation:

The data is:

Chicxulub was formed 6.5x10^7 years ago.

Vredfort was formed 2x10^9 years ago.

Sudbury basin was formed 1.8x10^9 years ago.

Acraman crater was formed 5.8x10^8 years ago.

We want to find the oldest, so we need to find the larger number of the 4 we have.

For this, we need to see at the exponents, the larger the exponent the larger the number.

We have two with a 9 in the exponent:

Vredfort and Sudbury.

Now we look at the number, Vredfort has 2x10^9 and Sudbury has 1.8x10^9.

Both have the same exponent, but the scalar of Vredfort is larger (2 is greater than 1.8) so we have that Vredfort is older.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he ow
    8·2 answers
  • Two students form a group of eight boys and 12 girls are sent to represent the school in a parade. If the two students are chose
    13·2 answers
  • If 18000 is put aside in a money market account with interest reinvested monthly at 2.3% find the time required for the account
    5·1 answer
  • How many solutions does the nonlinear system of equations graphed below have?
    9·2 answers
  • A home has a living room that is 14 ft. wide, 22 ft. long, and a height of 9ft. Bob needs to paint
    9·1 answer
  • Two airplanes are are 1600 miles apart and heading toward each other at different altitudes. The first plane is traveling north
    14·1 answer
  • For the high school's production of "Grease," 490 tickets were sold. The cost of a student
    11·1 answer
  • PLEASE HELP:
    5·1 answer
  • The table below represents Gerry's trip to school and back home. If the total time is 45 minutes, how far does Gerry live from s
    10·2 answers
  • A scientist is filling beakers of water for an experiment. He begins with 3 liters of water in a large container and each beaker
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!