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
shtirl [24]
3 years ago
11

The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is

$1600 and the standard deviation is $100. What is the approximate percentage of buyers who paid more than $1900? What is the approximate percentage of buyers who paid less than $1400?What is the approximate percentage of buyers who paid between $1400 and $1600?What is the approximate percentage of buyers who paid between $1500 and $1700?What is the approximate percentage of buyers who paid between $1600 and $1700?What is the approximate percentage of buyers who paid between $1600 and $1900?

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer:

(a) 0.14%

(b) 2.28%

(c) 48%

(d) 68%

(e) 34%

(f) 50%

Step-by-step explanation:

Let <em>X</em> be a random variable representing the prices paid for a particular model of HD television.

It is provided that <em>X</em> follows a normal distribution with mean, <em>μ</em> = $1600 and standard deviation, <em>σ</em> = $100.

(a)

Compute the probability of buyers who paid more than $1900 as follows:

P(X>1900)=P(\frac{X-\mu}{\sigma}>\frac{1900-1600}{100})

                   =P(Z>3)\\=1-P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid more than $1900 is 0.14%.

(b)

Compute the probability of buyers who paid less than $1400 as follows:

P(X

                   =P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid less than $1400 is 2.28%.

(c)

Compute the probability of buyers who paid between $1400 and $1600 as follows:

P(1400

                              =P(-2

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1400 and $1600 is 48%.

(d)

Compute the probability of buyers who paid between $1500 and $1700 as follows:

P(1500

                              =P(-1

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1500 and $1700 is 68%.

(e)

Compute the probability of buyers who paid between $1600 and $1700 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1700 is 34%.

(f)

Compute the probability of buyers who paid between $1600 and $1900 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1900 is 50%.

You might be interested in
Find the value of x. i’m so lost. it’s geometry!
olga2289 [7]

Answer:

150°

Step-by-step explanation:

Consider OACB,

Here <CAO =<CBO= 90° ( As they are tangents)

<ACB= 30°

Now, <CAO +<CBO+<ACB+x= 360°

90°+90°+30°+x= 360°

x= 150°

Hope it helps

4 0
3 years ago
Read 2 more answers
Classify the expression: 5x + 3x2 − 7x3 + 2.
galina1969 [7]

Answer:

5x-13

The Answer is in the picture above please mark me brainliest. :)

3 0
3 years ago
Read 2 more answers
I need held asp pls help me
aksik [14]

Answer:

18/23=18/23

Step-by-step explanation:

This problem is already in simplest form.

Hope this helped!!!!

5 0
3 years ago
Apply the distributive property to factor out the greatest common factor.<br> 56<br> +<br> 32<br> =
valentina_108 [34]

Answer:

8 * (7 + 4)

See process below

Step-by-step explanation:

We start by writing each number in PRIME factor form:

56 = 2 * 2 * 2 * 7

32 = 2 * 2 * 2 * 2 * 2

Notice that the factors that are common to BOTH numbers are 2 * 2 * 2 (the product of three factors of 2).Therefore we see that the greatest common factor for the given numbers is : 2 * 2 * 2 = 8

Using this, we can write the two numbers as the product of this common factor (8) times the factors that are left on each:

56 = 8 * 7

32 = 8 * 2 * 2 = 8 * 4

We can then use distributive property to "extract" that common factor (8) from the given addition as shown below:

56 + 32

8 * 7 + 8 * 4

8 * (7 + 4)

8 * (11)

88

4 0
3 years ago
If the length of room is four times the height and breadth is twice of its height and the volume of the room is 512 m^2 find its
lisov135 [29]

Let  \: x  \: (x>0)  \: be \:  the \:  height \Rightarrow the \: width, length: 2x,4x \\ Volume:V=hwl = 512 \\ \Leftrightarrow x2x4x = 512 \\ \Leftrightarrow 8{x }^{3}  = 512 \\\Leftrightarrow  {x}^{3}  = 64 \\ \Leftrightarrow x = 4 \\ \Rightarrow The \:  height \: is \: 4 \: m, the \: width \: is \: 8 \: m

8 0
3 years ago
Other questions:
  • What is domain and range of f(x) = -37
    8·1 answer
  • Which of the following are solutions to the quadratic equation below? Check all that apply x^2 +7x -8 =0
    5·1 answer
  • which ordered pair would form a proportional relationship with the point graphed below. A.(-10,30). B.(30,-15). C. ( -30,10). D.
    8·2 answers
  • The area of a rectangle 54 cm2. and its length =9cm. find :
    13·1 answer
  • For a giveaway, a local radio station is putting together goodie bags. The bags will include tickets and posters. Each bag will
    5·2 answers
  • What is the value of the expression? −29−(−1/3÷3/5)
    5·1 answer
  • HELP! WILL MARK BRAINLIEST!
    9·1 answer
  • Tadeo Volunteered at the library six times as many hours over the weekend as Dylan. Together they volunteer at a total of 14 hou
    6·1 answer
  • A family drives an average speed of 60 miles per hour on a trip from Pensacola to Orlando.
    8·1 answer
  • Find x.<br> Do not round your answer<br> 12 cm<br> 6 cm<br> 5 cm
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!