Triangle PQR has vertices P (-2, 1), Q (7, 1), and R (-2, -5). What is the distance from point P to point R, in units?

Answer:

Step-by-step explanation:

you have to multiply with both x and 12

14(x + 12) = 2

7(x + 12) = 1

x+12=1/7

x=-83/7

The correct answer is Point A' is located at (-5, -4).

When a point is reflected in the y-axis, its x-coordinate is negated and its y-coordinate remains the same. Therefore, the x-coordinate of point A changes from +5 to -5, and the y-coordinate remains -4. Hence, the coordinates of A' are (-5, -4).

Answer:

it will take 5 hours

Step-by-step explanation:

It will take five hours because first you take 300 and 60 and divide them to get 5.

Answer:

she added 7/12

hope it helps

Step-by-step explanation:

so 4/12 is 1/3 she reached 2/3 so she would be at 8/12. take away 1/12 cause she started with that so you get 7/12.

Answer:

2/4

Step-by-step explanation:

ya multiply the denominator by 2, and the numerator,

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer:

to the right of zero if postive if negative left

Answer:

to the right of zero if positive if negative to the left

B) Answer is 336

Explanation

There are 8 ways for a President to be selected, and have chosen a president there are 7 ways to choose a Vice (from the remaining people). Then, six ways to choose a secretary.

Then, 8*7*6 = 336.

I'm not 100% sure about this as I have used this method for 9 people and two roles, but I'm rather confident the same rules apply.

Answer:

5. A=314 ft. C=62.8 ft.

6. A=615.44 ft. C=87.92 ft.

7. A=254.34 km

8. A=379.94 yd

9. A=706.5 mi

10 A=1133.54 cm

Step-by-step explanation:

Area=

\(\pi {r}^{2} \)

Circumference=

\(2\pi \: r\)

Insert the given values.

Note: Diameter (d) = r + r

Answer:

original price = $84

discount percent = 8.33%

discount = 8.33% of $84 = 8.33 × 84 / 100 = $7

Sale price = $84 - $7 = $77

Answer:

1,-1 is the answer that I think if might be wrong

Answer:

2/3*3/8=6/24 = 1/4

1/4 is lesser than 3/8. Max is wrong.

Step-by-step explanation:

Answer:

2/3 * 3/8 = 1/4= 0.25

Step-by-step explanation:

Answer: First blank is 15 then 28 then 25 in the last blank.

Step-by-step explanation:

On the left side column it is going up by 5 and the right column is going up by 7.

The data set

{7,5,14,5,6,9,10,12,15,4,5,8,11,10,9,2}

sorts to

{2,4,5,5,5,6,7,8,9,9,10,10,11,12,14,15}

There are n = 16 items in that set. The middle-most item is between slot n/2 = 16/2 = 8 and slot 9.

The value in slot 8 is 8

The value in slot 9 is 9

The midpoint is (8+9)/2 = 17/2 = 8.5 which is the median.

The mean is found by adding up all of the values and dividing by n = 16.

(2+4+5+5+5+6+7+8+9+9+10+10+11+12+14+15+21)/16 = 8.25

We have

mean < median indicates the data is slightly skewed left.

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

Let's break the sorted set into two smaller halves

L = lower half

L = stuff smaller than the median

L = {2,4,5,5,5,6,7,8}

U = upper half

U = stuff larger than the median

U = {9,9,10,10,11,12,14,15}

The median of set L is 5, which is the value of Q1 aka first quartile.

The median of set U is 10.5 aka Q3.

The min and max are the smallest and largest items (2 and 15 currently).

Here's the five-number-summary of the original data set

Let's compute the interquartile range

IQR = Q3 - Q1 = 10.5 - 5 = 5.5

Then,

Rule: If a value is between LF and UF, then it is not an outlier. Otherwise we have an outlier.

There aren't any values smaller than LF since 2 is the min. But there are two values larger than UF. Those two values are 14 and 15.

Therefore, 14 and 15 are considered outliers in the original set.

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

What happens when we introduce 21 to the set?

Sorted set = {2,4,5,5,5,6,7,8,9,9,10,10,11,12,14,15,21}

Here's the five-number-summary

The IQR this time is 11.5-5 = 6.5, and,

In this case, 14 is no longer an outlier. It's just barely to the left of UF. The value 15 is still an outlier and 21 is most definitely an outlier as well.

As you can see, the new outlier 21 pulls the measure of center to the right. Think of it like a pull of a magnet. Also, the 21 spreads the data out further so the measure of variation increases.

Side note: if you need to calculate the standard deviation, I recommend using a calculator that has that specific function.

The data set

{7,5,14,5,6,9,10,12,15,4,5,8,11,10,9,2}

sorts to

{2,4,5,5,5,6,7,8,9,9,10,10,11,12,14,15}

There are n = 16 items in that set. The middle-most item is between slot n/2 = 16/2 = 8 and slot 9.

The value in slot 8 is 8

The value in slot 9 is 9

The midpoint is (8+9)/2 = 17/2 = 8.5 which is the median.

The mean is found by adding up all of the values and dividing by n = 16.

(2+4+5+5+5+6+7+8+9+9+10+10+11+12+14+15+21)/16 = 8.25

We have

mean = 8.25

median = 8.5

mean < median indicates the data is slightly skewed left.

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

Let's break the sorted set into two smaller halves

L = lower half

L = stuff smaller than the median

L = {2,4,5,5,5,6,7,8}

U = upper half

U = stuff larger than the median

U = {9,9,10,10,11,12,14,15}

The median of set L is 5, which is the value of Q1 aka first quartile.

The median of set U is 10.5 aka Q3.

The min and max are the smallest and largest items (2 and 15 currently).

Here's the five-number-summary of the original data set

min = 2

Q1 = 5

median = 8.5 (aka Q2)

Q3 = 10.5

max = 15

Let's compute the interquartile range

IQR = Q3 - Q1 = 10.5 - 5 = 5.5

Then,

LF = lower fence = Q1 - 1.5*IQR = 5 - 1.5*5.5 = -3.25

UF = upper fence = Q3 + 1.5*IQR = 10.5 + 1.5*5.5 = 13.25

Rule: If a value is between LF and UF, then it is not an outlier. Otherwise we have an outlier.

There aren't any values smaller than LF since 2 is the min. But there are two values larger than UF. Those two values are 14 and 15.

Therefore, 14 and 15 are considered outliers in the original set.

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

What happens when we introduce 21 to the set?

Sorted set = {2,4,5,5,5,6,7,8,9,9,10,10,11,12,14,15,21}

Here's the five-number-summary

min = 2

Q1 = 5

median = 9 (aka Q2)

Q3 = 11.5

max = 21

The IQR this time is 11.5-5 = 6.5, and,

LF = lower fence = Q1 - 1.5*IQR = 5 - 1.5*6.5 = -4.75

UF = upper fence = Q3 + 1.5*IQR = 11.5 + 1.5*6.5 = 14.75

In this case, 14 is no longer an outlier. It's just barely to the left of UF. The value 15 is still an outlier and 21 is most definitely an outlier as well.

As you can see, the new outlier 21 pulls the measure of center to the right. Think of it like a pull of a magnet. Also, the 21 spreads the data out further so the measure of variation increases.

Side note: if you need to calculate the standard deviation, I recommend using a calculator that has that specific function.

Answer:

-17

Step-by-step explanation:

I will represent the question mark with the variable \(x\).

\(x - 11 + 12 = -16\)

To solve for \(x\), we need to isolate it.

To do this, subtract 12 from both sides.

\(x - 11 + 12= -16\\\underline{\textrm{ } \ \ \ \ \ \ \ \, -12} \ \, \, \, \, \ \underline{-12}\\x - 11 \ \ \ \ \ \: \ = -28\)

Then, add 11 to both sides.

\(x - 11 = -28\\\underline{\ \ \: + \, 11} \ \ \ \, \underline{+ \, 11}\\x \ \ \ \ \ \ \: = -17\)

\(x = -17\)

So, the integer that makes the equation true is -17.

Answer:

i hope this helps

Step-by-step explanation:

Answer:

circumference, Irrational Number

Step-by-step explanation:

e

Answer:

Step-by-step explanation:

Part one is 36 because if you multiply the two right angles which would be 12 x 3 = 36.

Part 2 is 72 because 8 x 4 = 36 and 36 + 36 = 72

Answer:

11.1111%

Step-by-step explanation:

markup = profit/cost * 100

Answer: 100

Step-by-step explanation: if you mean out of a percent it’s 100%, 100% = 1 whole

Answer:

100

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

just multiply the three over four inches with seven and a half to get the accurate measurements

Answer:

The student answers 15 answers correctly.

Answer:

15

Step-by-step explanation:

hope it helps

Answer:

a kilogram = 1000 grams

milgram = 0,001 grams

Answer:

um its Review the size of grams and kilograms and how to convert between the two.  Then, try some practice problems.

Step-by-step explanation:

Answer:

Ok so you just ask your teacher, if not ur mom. I feel you can work this one out yourself.

Step-by-step explanation:

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

Answer:

Step-by-step explanation:bbbb

Answer:

1 x 0.50

Step-by-step explanation:

This is true, because 1 x 0.50 is 0.50. That is the correct cost for one cup. 2 x .50 would be 1. That is the correct cost for 2 cups, and it would keep going on.

Answer:

1x $0.50

Step-by-step explanation:

The answer is $0.50.

Answer:

Mean = 33.7

Median = 34.5

Mode = 34

Range = 33

After adding 26....

mean decreases by 0.7

median decreases by 0.5

mode is 34

range is 33

Step-by-step explanation:

mean = sum of all the data values/number of data values

= (18 + 19 + 20  + 34 + 34 + 35 + 37 + 42 + 47 + 51)/10
= 337/10
= 33.7

To find median arrange the values in increasing order, find the mid value

If the number of data points is even, find the average of the mid 2 data values

Arranging data values we get:
18, 19, 20, 34, 34, 35, 37, 42, 47, 51

Since there are 10 data values, take the average of the middle two:
(34 + 35)/2 = 34.5

The mode is the value that occurs most often. We see that there are two instances of 34 whereas the other values appear only once

Mode = 34

The range is highest - lowest = 51 - 18 = 33

After we add 26, we get the following data set arranged

18, 19, 20, 26, 34, 34, 35, 37, 42, 47, 51

we can calculate the stats using the same technique as above

We get the following values

mean = )(18 + 19 + 20 + 26 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/11
= 33  

median = 34

mode = 34

range = 51-18 = 33

To find the decrease in mean and median subtract from the first set of values

Answer:30 I think

Step-by-step explanation:

6 is 37.5% of 16 so 37.5% of 80 is 30

Answer:

on image attached :)

Step-by-step explanation:

6x3−10x2+11x+73x+1