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.

Answers

Answer 1

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.


Related Questions

What are the directional changes and numerical changes of the vertex of the graph of the equation y=x^2 when it changes the equation y=(x-3)^2 +5

Answers

Answer:

Step-by-step explanation:

subtracting 3 from x shifts the graph right 3 units.

adding the constant 5 shifts the graph up by 5 units.

what is the area of this square (look at the picture)

Answers

Answer:

484

Step-by-step explanation:

22 times 22

correct 89.6162 to two decimal places​

Answers

Answer:

89.62

Step-by-step explanation:

Look at the 3rd place of decimals - this is 6  so we add one to the second place.

i tryed my best

The decimal number rounded to 2 decimal places is 89.62

Given data:

The decimal number is represented as 89.6162

To round 89.6162 to two decimal places, we look at the third decimal place.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Since the digit in the third decimal place is 6, which is greater than or equal to 5, we round up the second decimal place.

Hence, rounding 89.6162 to two decimal places, the number is 89.62

To learn more about rounding up of numbers click :

https://brainly.com/question/4896544

#SPJ2

ambiente apent 5/8 of har money and sabedoria The rest.if she sprnt 45$,how much money did she have at first?​

Answers

Further explanation
Given:
Abbie spent ⁵/₈ of her money and saved the rest.
She spent $45.
Question:
How much money did she have at first?
The Process:
The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.
Let us make a pattern of 8 units for the amount of money that Abbie had at first.

Since Abbie spent ⁵/₈ of her money, then we create a pattern of 5 units containing $9 each. Recall that

From the pattern above, we can see that
Let us calculate how much money Abbie had at first.



Thus, the money Abbie had at first is $72.
The complete pattern of Abbie's initial money is as follows:

- - - - - - - - - -
Quick Steps:
Let M as Abbie's initial money.

Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.

We crossed out 5 and 45.


Thus, the money Abbie had at first is $72.

At a summer camp, there are 15 counselors, 5 cooks, and 120 campers. 5 points
What is the ratio between the number of counselors and the number of campers for this summer camp?*
1:4
1:6
1:8
1:12


Pls answer asap!!

Answers

Answer: 1:6 I believe

A company that sells umbrellas was
planning to
send a total of 1424 umbrellas in 4 equal shipments. How many umbrellas would be in 3 of the shipments
?

Answers

1,068 is your answer. There will be 356 in each shipment because 1,424 divided by 4 is 356. And 356 times 3 is 1,068.

How many pairs of intersecting lines are shown?
D
a. 24
b. 16
c. 8
d. 4.

Answers

I think the answer is 16

A rectangle is 24.6 m long and 8.65 m wide what is the area of the retangle

Answers

Answer:

212.79m

Step-by-step explanation:

A=L×W

A=24.6m×8.65m

A=212.79m

Solve the equation x = 5/3 (pie) (r^3) for r.

Answers

Answer and Step-by-step explanation:

To solve for r, we need to get everything away from r. We can start off by moving five thirds, and pi.

[tex]x = \frac{5}{3} \pi r^{3}[/tex]

Multiply each side by [tex]\frac{3}{5}[/tex], then divide by [tex]\pi[/tex] (pi)

[tex]\frac{3x}{5\pi } = r^{3}[/tex]

Now, take the cubed root of both sides.

[tex]\sqrt[3]{\frac{3x}{5\pi } } = r[/tex]

^^ That is the answer.

#teamtrees #PAW (Plant And Water)

Need help please confused

Answers

Answer:

a. 11.6 (rounded to nearest tenth)

b. Yes

Step-by-step explanation:

a²+b² = c²

6²+10² = c²

36²+100 = c²

136 = c²

√136 = √c²

11.6  = c

b. because 11.6 is the hypotenuse (longest side length) and there is 6 and 10 as the shorter leg lengths.

o
A toy rocket is shot vertically into the air from a launching pad 8 feet above the ground with an initial velocity of 72 feet per
second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function
h(t) = - 1612 + 72t + 8. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)

Answers

Answer:

1845 totaly i help yo to up grade

Step-by-step explanation:

im help :)

A store has clearance items that have been marked down by 35%. They are having a sale, advertising an additional 45% off clearance items. What percent of the original price do you end up paying?

Answers

Your answer is 35.75%.

Let’s pretend something at the store is $100. (It will save some math later)

100 - 35% leaves 65% (0.65 as a decimal)
100 x 0.65 = 65
That’s the price after the first discount. If we take 45% off of the sale price, we’ll be left with 55%, 0.55

65 x 0.55 = $35.75

Now normally you’d compare 35.75(sale price)/ 100(original price) to % off (x)/100, but doe this example, it’s unnecessary.

35.75/100 = x%/100

Which triangle makes this statement true?​

Answers

it is not A, B, or C, i don't see D, but that would be the answer..

Answer:

D

Step-by-step explanation:

I NEED HELP NOW PLZ!!!

Answers

Answer:

c

Step-by-step explanation:

x=-8

y= -5

therefore y=-5

and c is the answer

Answer is B, try to put the value
Y=-5
X=-8
Y=5/8 x
-5=5/8 (-8)
Which is
-5=-5

work out 2 1/7 + 1 1/4​

Answers

Answer:

95/28

Step-by-step explanation:

3 3/10 because u find common denominator which would be 28 and then u add them together and it comes out to 95/28 which simplifies to 3 3/10.

i'm a little bit confused about this question.

Answers

Answer:

4

Step-by-step explanation:

The number 4 is in the ones place

1 3 4 . 0
thousand hundred ones

Write 0.41 in fraction simplest form

Answers

The simplest form for 0.41 is 41/100. 41 and 100 do not have common factors so they cannot be simplified.
41/100
42 can’t go into 100 an even amount of times

Which of the following best describes term response variable

Answers

The dependent variable responds to variations in the separate variable manipulated during the experiment. It allows you to understand whereas if changes involved possess or are not significantly linked or whether they are because of certain factors.

The variable may change as that of the explained variable modifications.It's (dependent variable), which wishes to predict and explain is a response variable.An explanatory variable explains the changes.It can be anything that affects the variable response.It was only on the y-axis always (the vertical axis).

Learn more:

brainly.com/question/5598457

Find the area of each figure. Round to the nearest tenth if necessary

Answers

answer:
38.6
step by step:

6.
Reason quantitatively. A local bakery sells bagels
for $0.90 each. Consider a function for which the
input is the number of bagels purchased and the
output is the total cost of the bagels. What are the
domain and range in this situation? Explain.

Answers

i have no idea 60-€ is the answer pop a chocky $70.00 or like $0.10

A line passes through the points (5,22) and (7,24). Write a linear function rule in terms of x and y
for this line.

Answers

It 20 because it is and you multiply


A) 1080°
C) 720°
B) 1800°
D) 1620

Answers

Answer:

D- I hope I helped you. Good luck.

Gabrielle is 13 years older than Mikhail. the sum of their ages is 113. what is mikhails age?​

Answers

Step-by-step explanation:

g=m+13

g+m=113

use substitution

Answer:

50 years old

Step-by-step explanation:

Let's say that Mikhail's age is x.

If so, Gabrielle's age would be 13 years older, therefore x + 13

We know that the sum of their ages is 113, so we can form this equation:

x + x + 13 = 113

Solving this equation, we get:

x + x = 100

2x = 100

x = 50

50 is Mikhail's age, so Gabrielle's age is 63

HELP PLEASE ASAP What is the length of the diagonal of the square shown below?

Answers

Answer:

C) diagonal = 5√2

Step-by-step explanation:

diagonal² = 5² + 5²

diagonal² = 50

diagonal = √50

diagonal = √25x2

diagonal = 5√2

Answer:

C) diagonal = 5√2

Step-by-step explanation:

diagonal² = 5² + 5²

diagonal² = 50

diagonal = √50

diagonal = √25x2

diagonal = 5√2

Which expression represents the perimeter of the
trapezoid?
5x
2x - 1
2x + 3
6x +4
11x + 4
O 4x + 2
15x + 6
13x + 8

Answers

Answer: 15x + 6
5x + 2x+3 = 7x+3
6x+4 + 7x+3 = 13x + 7
13x+7 + 2x-1 = 15x+ 6

1/3 x 4/5 = help me out here

Answers

Answer:

kay it's 4/15

Step-by-step explanation:

this friggen took me forever

I made it to a common denominator 15

5/15*12/15

then I kept simplifying it till I got to 4/15

k bye

Simple
1•4=3•5
4/15
I dont know how to explain here

PLEASE HELP ON ANNYY QUESTION I BEG YOU!!
ILL GIVE U THE HIGHEST RATED!!

Answers

can u take the photo closer? i can’t see it that well

What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)

Answers

Answer:

(1, 2)

Step-by-step explanation:

Use the midpoint formula

x1 + x2 / 2 ,  y1 + y2 / 2

-2 + 4 / 2 ,  -2 + 6 / 2 =

( 1, 2 )

THE amusement park won't allow kids to ride roller-coasters until they are a minimum of 48 inches tall. Michael is now 42 inches tall, and grows about 1/2 inch every month. How many months will it be until Michael can read a roller coaster? Please show me the individual steps?

Answers

Answer: It will one year (or 12 months) before Michael is able to ride the roller coaster.

Step-by-step explanation: Because he grows a half inch every month, this means that It takes him two months to grow one full inch. Because he has to grow six inches, you just multiply 2 by 6 to get 12 months or one year.

Answer:

48-42=6, which is how much Michael needs to grow.

1/2x=6, where x is the number of months

x = 12 months.

1 year = 12 months so the answer is one year.

what is the value of the underlined digit ? write your answers as as fraction​

Answers

Answer: one place

Step-by-step explanation:

Write the Whole Number as a Fraction Over One.

Choose A New Denominator.

Multiply Both Numerator and Denominator.

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