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2 years ago

6

What is the median of the data set 10,7,9,9,4, 6?

1 answer:

lilavasa [31]2 years ago

4 0

Answer:

8

Step-by-step explanation:

The median is the middle of the numbers in a given data set.

To find the median, line up all of the numbers from greatest to least.

4, 6, 7, 9, 9, 10

Now, find the middle of the numbers. Since there is an even number of numbers in the data set, find the two middle numbers.

4, 6, 7, 9, 9, 10

Next, find the average of these two numbers. (To do this, add the numbers and divide that sum by 2.)

7 + 9 = 16

16/2 = 8

Therefore, the median is 8.

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Can some one please help me????

Juli2301 [7.4K]

$-\frac{3}{2}w-\frac{7}{8}=\frac{1}{2}|\cdot8\\
-12w-7=4\\
-12w=11\\
w=-\frac{11}{12}
$

5 0

2 years ago

Look at the expression below. Tell whether each<br> tatement about its value is True or False.

QveST [7]

Answer:

true

Step-by-step explanation:

6 0

2 years ago

A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation $A=45e^{-0.05t}$ .

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate $A=15$ and solve for t as:

$15=45e^{-0.05t}$

$\frac{15}{45}=\frac{45e^{-0.05t}}{45}$

$\frac{1}{3}=e^{-0.05t}$

Now we will switch sides:

$e^{-0.05t}=\frac{1}{3}$

Let us take natural log on both sides of equation.

$\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})$

$-0.05t\cdot (1)=\text{ln}(\frac{1}{3})$

$-0.05t=\text{ln}(\frac{1}{3})$

$t=\frac{\text{ln}(\frac{1}{3})}{-0.05}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}$

$t=-\text{ln}(\frac{1}{3})\cdot 20$

$t=-(\text{ln}(1)-\text{ln}(3))\cdot 20$

$t=-(0-\text{ln}(3))\cdot 20$

$t=20\text{ln}(3)$

Therefore, it will take $20\text{ln}(3)$ years for area of the glacier to decrease to 15 square kilo-meters.

6 0

2 years ago

Solve for x and then find the measure of B

pogonyaev

Answer:

x=6

b= 126

Step-by-step explanation:

8x+78 = 2x+114

8x-2x = 114-78

6x=36

x=6

--------

b=2x6+114

b= 126

3 0

2 years ago

PLZ HELP I SUCK AT MATH :( JUST LIKE MY USERNAME SAYS :(

Citrus2011 [14]

Answer:

Option C and Option D have exactly one solution.

Step-by-step explanation:

The equation will have exactly one solution when it completely solves and we get value of x.

Checking all choices

(Choice A)

-19x + 18 = -19x + 18

-19x+19x=18-18

0=0

(infinite solutions)

(Choice B)

-19x -18 = -19x + 18

-19x+19x=18+18

0≠36

(no solution)

(Choice C)

19x + 18 = -19x + 18

19x+19x=18-18

38x=0

x=0

(One solution)

(Choice D)

19x - 18 = -19x + 18

19x+19x=18+18

38x=36

x=36/38

x=18/19

(One solution)

So, Option C and Option D have exactly one solution.

4 0

2 years ago