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
Snowcat [4.5K]
3 years ago
6

A marine sales dealer Önds that the average price of a previously owned boat is $6492. He decides to sell boats that will appeal

to the middle 66% of the market in terms of price. Find the maximum and minimum prices of the boats the dealer will sell. The standard deviation is $1025, and the variable is normally distributed.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

The maximum price that the dealer will sell is $7471 and the minimum is $5513.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 6492, \sigma = 1025

Middle 66%

50 - (66/2)  = 17th percentile

50 + (66/2) = 83rd percentile

17th percentile

X when Z has a pvalue of 0.17. So X when Z = -0.955.

Z = \frac{X - \mu}{\sigma}

-0.955 = \frac{X - 6492}{1025}

X - 6492 = -0.955*1025

X = 5513

83rd percentile

X when Z has a pvalue of 0.83. So X when Z = 0.955.

Z = \frac{X - \mu}{\sigma}

0.955 = \frac{X - 6492}{1025}

X - 6492 = 0.955*1025

X = 7471

The maximum price that the dealer will sell is $7471 and the minimum is $5513.

You might be interested in
What decimal is equal to 2/3
Liula [17]

The decimal that is equal to 2/3 is...

0.66666666666

Hope this helps

6 0
3 years ago
Sophia wants to solve for the side length of b. Which equation could Sophia use to solve for the side length of b, given the
Afina-wow [57]

Answer:

b² = a² + c² - 2ac cos B

Step-by-step explanation:

The cosine rule can be use when you are given three sides of a triangle and ask to find any angle or when you are given two sides and a included angles(the angle between the two sides given) and ask to find the length of a side.

The equation Sophia can use to solve for the side length(b) of a triangle when given two length and the included angle can be expressed below. Sophia was given two sides and an included angle and was asked to find a side length b.

For sides a, b and c the cosine rule can be represented below

a² = b² + c² - 2bc cos A

b² = a² + c² - 2ac cos B

c² = a² + b² - 2ab cos C

The equation required base on your question is

b² = a² + c² - 2ac cos B

3 0
2 years ago
-0.000167 in scientific notation
tiny-mole [99]
1.67 \times{10}^{ - 4}
6 0
3 years ago
Which ordered pair is the best estimate for the solution of the system of equations
Colt1911 [192]

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

The given system of equations is:

y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)

Equate equations (1) and (2)

-\frac{1}{2}x + 4=\frac{1}{2}x -3

Solve for x in the equation above

-\frac{1}{2}x -\frac{1}{2}x =-3-4\\\\-x=-7\\\\x=7

Substitute x = 7 into equation (1)

y=-\frac{1}{2}x + 4\\\\y=-\frac{1}{2}(7) + 4\\\\y=\frac{1}{2}

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

Learn more on system of equations here: brainly.com/question/13729904

5 0
2 years ago
What is the exact decimal equivalent of 7 half’s 12
Ivenika [448]

The decimal equivalent of 7 half’s is the number in decimal form

The exact decimal equivalent of 7 half’s is 3.5

<h3>What is a decimal number?</h3>

A decimal number is a number represented by an integer and a fractional part

<h3>How to determine the decimal equivalant?</h3>

The number is given as:

7 halves

Express as product

7 * 1/2

Evaluate the product

3.5

Hence, the exact decimal equivalent of 7 half’s is 3.5

Read more about decimals at:

brainly.com/question/1827193

3 0
2 years ago
Other questions:
  • Simplify this expression
    5·1 answer
  • Explain to your homewok heper how5-groups help you see 6,7,8,9,10
    5·1 answer
  • What is the area of a triangle with a base of 15 1/4 inches and a height of 10 inches?
    10·1 answer
  • Carly commutes to work, and her commute time is dependent on the weather. When the weather is good, the distribution of her comm
    13·2 answers
  • Please please help me out
    6·1 answer
  • CAN SOME ONE PLEASEEEEEEE HELP ME!!!!!!!!!!!!!
    10·1 answer
  • For the following right triangle find the side length 19,12 x. Round the nearest hundredth
    12·1 answer
  • Product of a number x and 236
    10·1 answer
  • The GCD of three numbers is 7 and their LCM is 140.If one of the numbers is 20,find the other number​
    15·1 answer
  • 2. Write an algebraic equation and solve it
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!