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madreJ [45]
3 years ago
8

The following data was collected from 10 visitors to Disneyland. A researcher stood at the entrance gate and interviewed the fir

st 10 families that agreed to participate. Each family was asked, “How many times have you been to Disneyland?” The data values were: 1, 1, 2, 2, 2, 2, 3, 3, 4, 7. The average number of visits was calculated and reported.
Calculate the standard deviation of the data values.
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

<u>The standard deviation for the sample of 10 families is 1.68 (Rounding to two decimal places)</u>

Step-by-step explanation:

1. The first step to calculate the standard deviation is to find out the mean, this way:

Mean = (1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 4 + 7)/10

Mean = 27/10 = 2.7

2. Now we calculate the variance, this way:

Variance = [(1 - 2.7)²+(1 - 2.7)²+(2 - 2.7)²+(2- 2.7)²+(2 - 2.7)²+(2 - 2.7)²+(3- 2.7)²+(3 - 2.7)²+(4 - 2.7)²+(7- 2.7)²]/10

Variance = [2.89  + 2.89 + 0.49 + 0.49 + 0.49  + 0.49 + 0.09 + 0.09 + 1.69 + 18.49]/10

Variance = 28.1/10 = 2.81

3. Finally we calculate the standard deviation, this way:

Variance = Standard deviation²

√Variance = Standard deviation

√2.81 =  Standard deviation

<u>Standard deviation = 1.68 (Rounding to two decimal places)</u>

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A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends
Ostrovityanka [42]

Answer:

  • $7.39

Step-by-step explanation:

Let the initial price be x

<u>Then the reduced price is </u>

  • x - 1.75

<u>If 5 mugs cost $28.20, we have equation:</u>

  • (x - 1.75)*5 = 28.20
  • x - 1.75 = 28.20/5
  • x - 1.75 = 5.64
  • x = 1.75 + 5.64
  • x = 7.39

Initial price for 1 mug was $7.39

4 0
2 years ago
Read 2 more answers
A company that offers tubing trips down a river rents tubes for a person to use for $20 and “cooler” tubes to carry food and wat
aivan3 [116]

The group rent 11 river rent tubes and 4 cooler tubes.

Step-by-step explanation:

Rent for river rent tube = $20

Rent for cooler tubes = $12.50

Total spent = $270

Total tubes rented = 15

Let,

x be the number of river rent tube.

y be the number of cooler tubes.

According to given statement;

x+y=15    Eqn 1

20x+12.50y=270    Eqn 2

Multiplying Eqn 1 by 20

20(x+y=15)\\20x+20y=300\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(20x+20y)-(20x+12.50y)=300-270\\20x+20y-20x-12.50y=30\\7.50y=30

Dividing both sides by 7.5

\frac{7.5y}{7.5}=\frac{30}{7.5}\\y=4

Putting y=4 in Eqn 1

x+4=15\\x=15-4\\x=11

The group rent 11 river rent tubes and 4 cooler tubes.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/8520610
  • brainly.com/question/846474

#LearnwithBrainly

6 0
2 years ago
Find the surface area. *<br> 2)<br> 14 km<br> 11 km<br> 6.3 km<br> 7 km<br> 5 km
ella [17]

Answer:

pp

Step-by-step explanation:

6 0
3 years ago
John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
lapo4ka [179]

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

8 0
3 years ago
The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people
mojhsa [17]

Answer:

2.2%

Step-by-step explanation:

Given the following :

Population in year 2000 (A) = 4.2 million

Expected population every 32 years = 2 *A

The growth rate per year =?

The population figure after 32 years = (2 * 4.2 million) = 8.4 million

Using the exponential growth formula :

P(t) = A × (1 + r)^t

(1 + r) = g = Total growth percent

A = Initial population

t = time

P(t) = 8.4 million

8,400,000 = 4,200,000 × g^32

g^32 = (8400000/4200000)

g^32 = 2

Taking the root of 32 on both sides

g = 1.02189714865

g = (1 + r)

1.02189714865 = 1 + r

r = 1.02189714865 - 1

r = 0.02189714865

.rate = 0.02189714865 * 100

= 2.18971486541%

= 2.2% ( nearest tenth)

4 0
3 years ago
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