Whats 4(d+2)-2d=3(2+d)

Simplify : this problem

Nikitich [7]

Answer:
$\frac{(7r + 1)(7r - 1)}{7r}$

6 0

3 years ago

Two parallel lines are cut by a transversal as shown below.

weeeeeb [17]

Angle one and angle two are supplementary, meaning that they add up to 180°.

180 - 58 = 122

Angle one and angle three are vertical angles, meaning that they are both the same angle.

Angle three = 122°

4 0

2 years ago

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

4 years ago

4 × square root of 3

Oksi-84 [34.3K]

<h3><u>Solution</u><u>:</u></h3>

Please find the photograph for the square root of 3.

Firstly, you have to write 3 as 3. 00 00 00.
Then we should find out the root of the perfect square which is less than 3. Here, 1 is the required perfect square root because 1 × 1 = 1 only which is less than 3.
Now 3 - 1 = 2 and we are placing 2 zeros after it so that it will be 200. Now we have to add 1 with the divisor 1 which will be 2. Then we have to select a number to be placed beside this 2 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 200. We see that if we place 7 after 2 and multiply 27 with 7, we get 189 which is less than 200.
Now 200 - 189 = 11 and we are placing 2 zeros after it so that it will be 1100. Now we have to add 7 with the divisor 27 which will be 34. Then we have to select a number to be placed beside this 34 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 1100. We see that if we place 3 after 34 and multiply 3 with 343, we get 1029 which is less than 1100.
Now 1100 - 1029 = 71 and we are placing 2 zeros after it so that it will be 7100. Now we have to add 3 with the divisor 343 which will be 346. Then we have to select a number to be placed beside this 346 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 7100. We see that if we place 2 after 346 and multiply 2 with 3462, we get 6924 which is less than 7100.
So, we will get the quotient as 1.732 (corrected to three places of decimal).

4√3

= 4 × 1.732

= 6.928

<h3><u>Answer:</u></h3>

Hope it helps