What is the median of the data set?

{16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15}

Answers

Answer 1
Answer: The median is the numeric value separating the higher half of a sample data set from the lower half. The median of a data set can be found by arranging all the values from lowest to highest value and picking the one in the middle. If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle. For the data set 16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15 the median is 14.5. It is the mean of 14 and 15 or, (14+15)/2 = 14.5.

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Convert the given amount to the given unit4. 63 yd; feet

5. 168h; days

6. 2.5lb; ounces

7. 200 cm; meters

8. 4 min; seconds

9. 5kg; pounds

Answers

Answer:

4- 189 feet

5- 7 days

6- 40 ounces

7- 2 meters

8- 240 seconds

9- 11 lbs

Step-by-step explanation:

Write a decimal equation that has a product of 3.15... Do not use one as a factor

Answers

Answer:

0.0315=3.15/100

Step-by-step explanation:

The equation needs to have a product of 3.15.

And the equation has to be a decimal equation. So we have o use numbers such as 10, 100...

0.0315=3.15/100

0.315=3.15/10

31.5=3.15* 10

315=3.15* 100

We can write as many equation as this.

you could have 3.15=100 times 0.0315, 10 times 0.315

2. Explain how the order of operations determines how you simplify a numeric expression. Be sure to explain the rules for addition, subtraction, multiplication, division, and the use of grouping symbols. Use examples to illustrate your points.

Answers

P-paratheses (do any math that has parentheses around the numbers) y=(2x5)+25
E-exponents (do the exponents next) y=(2x5)+5^2
M-multiplying. (Basically everything is self explanatory from here to then cuz im lazy to list examples)
Just basically if you don't use PEMDAS, you'll get the wrong answer

What is 1/6 + (2/3 - 1/4) in simplest form

Answers

(1)/(6)+((2)/(3)-(1)/(4))=\ \ \ \ | make\ a\ common\ denominator\n\n(2)/(12)+(8)/(12)-(3)/(12)=(2+8-3)/(12)=(7)/(12)\n\n The\ simplest\ form \ is\ (7)/(12).

Given: MzQVR = 49°Prove x = 15
Statements
Reasons
1. MZQVR = 49
1. given
2. MZUVT = 3x + 4
2. given
S
R
3. LQVR and ZUVT are
vertical angles
3. definition of vertical
angles
T
4. LUVT , ZQVR
4.
V
(3x + 4)º
5. m_UVT = m2QVR
5. definition of congruence
U
6. +
6. substitution property
Complete the steps of the proof
7. 3x = 45
7. subtraction property
8. x = 15
8. division property
<
3x + 4 = 15
3x + 4 = 49
X measure of angle QVR = 49 degrees
✓ Done
measure of angle UVT = (3x + 4) degrees
7 of a​

Answers

The proof of the question is explained in the solution.

What are vertical angles?

Vertical angles are the angles that are formed when two lines intersect each other at a point.

Given that a figure having m∠QVR = 49°, we need to prove that x = 15,

We know that,

Vertically opposite angles are equal.

From the figure we can see a number of line segments

m∠QVR = 49°

From the given figure we get,

∠QVR and ∠UVT are vertically opposite angles.

Therefore,

m∠QVR = m∠UVT

49 = 3x + 4

3x = 49 - 4

3x = 45

x = 45/3 = 15

Hence, proved.

Learn more about vertical angles click;

brainly.com/question/24460838

#SPJ5

Answer:

4. vertical angles theorem

6. 3x+4=49

Step-by-step explanation:

Select the polynomial that is a perfect square trinomial.9x2 + 9x + 1

36b2 − 24b + 8

16x2 + 24x + 9

4a2 − 10a + 25

Answers

Answer: (c)  16x^(2)+24x+9.


Step-by-step explanation:

(a) 9x^(2) +9x+1 cannot be further factorised, so this is not correct option.

(b) 36b^(2)-24b+8 also cannot be expressed as factors, and hence this is too not correct.

(c) 16x^(2)+24x+9=({4x+3} )^2, the correct one.

(d) 4a^(2)-10a+25 cannot be factorised, so its not correct.

Thus, (c) 16x^(2)+24x+9 is the correct option.

Hello,

Answer C

16x²+24x+9=(4x+3)²