What is the solution to this equation? -6x + 3 = 21 A. X= 4 B. X = -8 C. X = 3 D. X= -4

Below is the five-number summary for 136 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of

Fudgin [204]

Answer:

Option B) There were less hikers between Q1 and the median than there were between the median and Q3

Step-by-step explanation:

The given five-number summary is:

Minimum : 9

Q1 : 18

Median : 21

Q3 : 28

Maximum : 56

Now based on these numbers we will evaluate the given options:

Option A)

Most people finished the JMT within 9 to 56 days, but some took a little longer.

This statement is false because minimum time is 9 days and maximum time is 56 days. This means all of the people finished JMT within 9 to 56 days. As 56 is the maximum, no one took longer than this to finish JMT. Hence, this option is Wrong.

Option B)

There were less hikers between Q1 and the median than there were between the median and Q3

Difference between median and Q1 = 21 - 18 = 3

Difference between Q3 and median = 28 - 21 = 7

So, the given statement is true as there are 3 hikers between Q1 and the median and 7 hikers between the median and Q3. Thus this statement is Correct.

Option C)

Exactly 36 hikers had times ranging from 18 to 21 days

18 days is the Q1 and 21 days represent median. Remember that Q1 is the 25th percentile and Median is the 50th percentile. So 25% of the hikers will have time ranging from 18(25th percentile) to 21 days(50th percentile).

Since, total number of hikers is 136, and 25% of 136 is 34. This means, 34 hikers had times ranging from 18 to 21 days. Thus, this statement is Wrong.

Option D)

At least 36 hikers completed the JMT within 28 to 56 days.

28 days represent Q3, the 3rd quartile or 75th percentile and 56 days represent the maximum value. So there are 25% of the hikers will finish between 28 days and 56 days.

25% of 136 is 34. This means 34 hikers completed the JMT within 28 to 56 days. Therefore, this statement is also wrong.

Hence, option B gives the most accurate description about the given five-number summary.

6 0

3 years ago

Es

ExtremeBDS [4]

Answer:

f(x) = ( x + 1 ) ( x - 8 )

Step-by-step explanation:

We have to find a polynomial equation that has double zeros at x = - 1 and at x = 8

Therefore, the polynomial has only two roots and it will be a quadratic polynomial and it has factors ( x + 1 ) and ( x - 8 )

So, the polynomial is y = f(x) = ( x + 1 ) ( x - 8 ) (Answer)

5 0

2 years ago

Renata and david want to cover the walls in one room of their house with wall paper.

valkas [14]

For this case we have the following variables:
P = area covered by a roll of wallpaper
w = the total area of the walls
n = number of rolls to buy
We write the equation for n.
You must take into account that you can determine this amount by dividing the total area between the area covered by each roll of paper.
We have then:
$n = w / P
$
Answer:
a formula that will help them determine how much wall paper they'll need to purchase is:
$n = w / P$

3 0

2 years ago

Jeremy drew a polygon with four right angles and four sides with the same length name all the polygons that he have done

erik [133]

The most-specific name for such a polygon is square.

It can also be called a rectangle, rhombus, parallelogram, or quadrilateral.

6 0

2 years ago

Determine the measure of ∠BFE.

astra-53 [7]

Answer:

1)

224°

2)

112°

3)

111°

4)

69°

4 0

2 years ago

What is the solution to this equation? -6x + 3 = 21 A. X= 4 B. X = -8 C. X = 3 D. X= -4​

What is the solution to this equation? -6x + 3 = 21 A. X= 4 B. X = -8 C. X = 3 D. X= -4