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
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>

You might be interested in
I need help with this question.
LenaWriter [7]

Answer:

8/20, 5/20

Step-by-step explanation:

2/5 - 4/10 6/15 8/20

1/4 - 2/8 3/12 4/16 5/20

3 0
3 years ago
Read 2 more answers
504 rounded to the nearest ten is?
Lesechka [4]
The answer would be 500






4 0
3 years ago
Read 2 more answers
Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.
AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= \frac{2}{3} -\frac{1}{3} i\sqrt{26}

x₂ = \frac{2}{3} +\frac{1}{3} i\sqrt{26}

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

  1. <u>If the discriminant is zero</u>, the equation will have only one solution and it will be real
  2. <u>If the discriminant is greater than zero</u>, then the equation will have two solutions and they both will be real.
  3. <u>If the discriminant is less than zero,</u> then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104

Therefore our discriminant is less than zero and we know<u> that our equation will have two solutions in the complex numbers. </u>

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = \frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂=\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}

These are our two solutions in the imaginary numbers.

7 0
3 years ago
Enter the correct value so that each expression is a perfect-square trinomial.<br><br> x2 – 10x +
Vlad [161]

Answer:

x^2 - 10x + 25

Step-by-step explanation:

6 0
3 years ago
Please answer the question!
Airida [17]

ANSWER

Area = 2\sqrt{3}  \:  {cm}^{2}

EXPLANATION

We need to use the Pythagoras Theorem to find the height of the triangle.

{a}^{2}  +  {b}^{2}  =  {c}^{2}

({2 \sqrt{3}) }^{2}  +  {b}^{2}  =  {4}^{2}

12 +  {b}^{2}  = 16

{b}^{2}  = 16 - 12

{b}^{2}  = 4

Take positive square root to get;

b =  \sqrt{4}  = 2

Area =½bh

Area =  \frac{1}{2}  \times  2\sqrt{3}  \times 2

Area = 2\sqrt{3}  \:  {cm}^{2}

7 0
3 years ago
Other questions:
  • Simplify the following expression.<br><br> 7d + 12 – 4d – 3
    13·2 answers
  • Use synthetic division to find P(3) for P(x) =
    14·1 answer
  • Geno had a gift card for $40. He bought a DVD for $19.50. He spent the remaining amount on two video games. To find the cost of
    9·1 answer
  • Two whole numbers A and B satisfy the following conditions. Find A and B . A + B = 44. A : B is equivalent to 4 : 7
    6·1 answer
  • X-y = 10 x^2-y^2 = 60 x^2+2xy+y^2=?
    14·1 answer
  • Please help!I will make brainliest
    5·2 answers
  • If a taxi goes 45 miles per hour and drives a distance of 164 miles and charges $20 for every hour driven, how much would the ta
    13·2 answers
  • the temperature at 6 pm in frost frozen antarctica was -37 if the tem dropped 8 1 /2 c uring the next hour what was the the temp
    9·1 answer
  • Which matrix is matrix B?
    15·1 answer
  • Can I get some help on the last question?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!