Which of the following possibilities will form a triangle?

I need help it’s super confusing

steposvetlana [31]

Answer:

Range = 58

Mean = 25.81

Median = 17

Mode = 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Upper Quartile = 11

Lower Quartile = 48

Step-by-step explanation:

Start by putting all of the values in order from least to greatest.

16, 18, 12, 9, 17, 2, 41, 48, 50, 60, 11

becomes

2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Range

The range is the difference between the highest and lowest value. So in this case, it's 58, because 60 - 2 = 58

Mean

The mean is another word for the average. To calculate the average, add all of the values and divide the sum by the number of values.

2 + 9 + 11 + 12 + 16 + 17 + 18 + 41 + 48 + 50 + 60 = 284

There are 11 values, so divide the sum (284) by 11:

284 / 11 = 25.8181818.

That rounds to 25.81

Median

The median is the middle value of the data set.

In 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60 the middle value is 17. It has 5 values on each side of it.

Mode

The mode is the number that appears the most in the data set. Each value only appears once, so the mode is the entire list of numbers. 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Upper Quartile

The upper quartile of a data set is the median of the numbers that are to the left of the median for the entire data set. The median is 17, so the numbers to the left are 2, 9, 11, 12, and 16. The median of those is 11 because it is in the middle. So the upper quartile is 11.

Lower Quartile

The lower quartile is found the same way the upper quartile is, but it's the median of the numbers to the <em>right</em>. The numbers to the right of 17 are

18, 41, 48, 50, and 60. The median of those is 48 because it's in the middle. So the lower quartile is 48.

5 0

3 years ago

What is the result when the number 79 is decreased by 17%?

trapecia [35]

Answer:

65.57 should be the correct answer!

Step-by-step explanation:

Here is the whole work I did, hope this helps!

100 - 17 = 83

79 x 0.83 = 65.57

8 0

3 years ago

Read 2 more answers

Need help now please

Marrrta [24]

Answer:

all work is shown and pictured

5 0

3 years ago

E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))

olasank [31]

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

$T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}$

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

So

$T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}$

Then we have

$\rm \triangledown T = \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)$

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

$\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}$

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction $\triangledown$ T. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

More about the temperature link is given below.

brainly.com/question/11464844

#SPJ4

6 0

2 years ago

Evaluate -(3^-5)(3^3)<br> A. -9<br> B. 9<br> C. 1/9<br> D. -1/9

umka21 [38]

Answer:

D:= -1/9

Step-by-step explanation:

6 0

3 years ago