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
expeople1 [14]
2 years ago
14

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is

31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours.
Step 1 of 5: Based on the given information, determine if the following statement is true or false. The 54th percentile is less than 26 hours.
Step 2 of 5: Approximately how many families are in the sample? Round your answer to the nearest integer.
Step 3 of 5: Based on the given information, determine if the following statement is true or false. Approximately 200 families turned on their televisions for less than 35 hours.
Step 4 of 5: What is the value of the 50th percentile?
Step 5 of 5: Based on the given information, determine if the following statement is true or false.The first quartile is greater than or equal to 20 hours.
Mathematics
1 answer:
Andru [333]2 years ago
3 0

Answer:

Step-by-step explanation:

The mean of the data is 31 hours and the median of the data 27.2 hours.

24 of the families in the sample turned on the television for less than 16 hours for the week.

The 7th percentile = 16 hours

Step 1:

The median is a value that divides the whole data into two equal parts. It implies that the median represents the 50th percentile of the data.

Given that the median is 27.2 hours, thus the 54th percentile should be greater than 27.2 hours.

Thus, the given statement is false.

Step 2:

Let assume that N is the total number of families

24 of the families in the sample turned on the television for less than 16 hours for the week.

The 7th percentile = 16 hours

It means that 7% of N = 24

N = 24/0.07

N = 343

Step 3:

From (2), N = 343

Given that median= 27.2 hours.

It means 200 families turned on their television for less than 27.2 hours.

We don't know if this is true for 35 hours. 100 families may use less than 35 hours and 200 may use more than 35 or vice versa. In addition to that, even 50 families might use less than 35 and 350 may use more than 35 hours.

Hence, the statement is false.

Step 4:

The median is the 50th percentile value which is = 27.2 hours

Step 5:

The statement is false

The 25th percentile is the first quarter of the data and if the 7th percentile is 16 hours, then the 25th percentile should be greater than that.

You might be interested in
If m< DBG=58 and mDG =74 , find mGE
mestny [16]

Answer:

Option D: mGE = 190°

Step-by-step explanation:

From the property of angles of secant and tangent lines, we have:

DBG = (mGE - mDG)/2

(That is, the angle in point B is half the difference of the larger arc by the smaller arc defined by the lines)

So, we have that:

58 = (mGE - 74)/2

2*58 = mGE - 74

mGE = 116 + 74 = 190°

So we have that mGE is equal to 190°, correct option: D.

5 0
3 years ago
A mechanic charges $20.00 an hour, h for labor plus parts. If the parts cost $217.00, write a linear equation that will find the
Dennis_Churaev [7]

Answer:

y=20x+217

Step-by-step explanation:

8 0
2 years ago
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2
butalik [34]

The solution of the linear equations will be ( -2, 4).

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are:-

  • 2x +3y = 8 and 3x+y= -2

Solving the equations by elimination method:-

2x +3y = 8

3x+y= -2

Multiply the second equation by 3 and subtract from the first equation.

2x +3y = 8

-9x -3y = 6

----------------

      -7x = 14

         x = -2

Out of the value of x in any one equation, we will get the value of y.

3x+y= -2

3 ( -2) + y = -2

-6 + y = -2

y = 4

The graph of the equations is also attached with the answer below.

Therefore the solution of the linear equations will be ( -2, 4).

The complete question is given below:-

Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.

To know more about equations follow

brainly.com/question/2972832

#SPJ1

3 0
2 years ago
Need help fast don't understand both A and B show work please
Shkiper50 [21]
Problem A
Usually the number of bits in a byte is 8 or 16 or 32 and recently 64. You don't have to write a formula to restrict it to this number of bits. You are not asked to do so. The general formula is 2^n - 1 for the problem of Millie and her golden keys. Somehow the system can be made to choose the right number of bits. Apple IIe s for example, used 8 bits and there was a location that told the processor that fact.

2^n - 1 <<<<< Answer

Problem B
In this case n = 4
2^n - 1 = 2^4 - 1 = 16 - 1 = 15


Millie can collect 15 keys <<<<<< Answer
5 0
3 years ago
You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is
lys-0071 [83]

Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

∠B = ?

∠C =  90

a = 346346

b = 7777

c = ?

Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

Rearranged:

c = ± \sqrt{a^{2} +b^{2} }

Substitute a and b:

c = ±\sqrt{346346^{2} +7777^{2} }

Comes out to ~346433.3 meters.

Now if we use the Law of Sines:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:

\frac{346346}{sinA} = \frac{346433.3}{sinC}

Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:

\frac{346346}{sinA} = \frac{346433.3}{1}

Cross Multiply to get rid of the fractions:

346346 = 346433.3 * sin(A)

Divide:

\frac{346346}{346433.3} = sin(A)

Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:

arcsin( \frac{346346}{346433.3} ) = ∠A = 88.7°

5 0
2 years ago
Other questions:
  • When is the sum of two negative mixed numbers an integer
    12·1 answer
  • Is parallel to ? Explain. Yes, because both lines have a slope of . Yes, because both lines have a slope of . No, because the sl
    14·2 answers
  • Convert 7.2,10^-3 to standard form
    6·1 answer
  • Solve by factoring.. m^2 + 8m + 7 = 0
    12·1 answer
  • An=3an-1 -6 Where a1=7 Help please!
    12·1 answer
  • Suppose U1 and U2 are i.i.d. Unif(0,1) withU1=0.1 and U2=0.8. Use the "cosine" version of Box-Muller to generate a single Nor(-1
    11·1 answer
  • Which expression is equivalent to (-3y - x) - (5y - 8x)?
    6·1 answer
  • 1. Lin wants to save $75 for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What
    5·1 answer
  • Find the inverse of each function.
    6·1 answer
  • Roxanne ran 10.73 miles on Monday and 3.01 miles on Tuesday. How many more miles did Roxanne run on Monday than Tuesday?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!