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3 years ago

What is the mean of this data set? 12,17,16,10,20,13,14,14,12,12,19,18

Mathematics

2 answers:

OLga [1]3 years ago

8 0

Hello There!

Mean: Average of numbers in a set of data.

STEP 1: Add the numbers up. In this case, we would add

12 + 17 + 16 + 10 + 20 + 13 + 14 + 14 + 12 + 12 + 19 + 18 = 177

STEP 2: Divide the sum of the number by the number of digits you added.

We would divide 177 "sum of numbers" by 12 "number of digits" and would

get a quotient of 14.75

Gemiola [76]3 years ago

7 0

Answer:

14.75 :) please give me brainliest :)

Step-by-step explanation:

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

3 years ago

Solve the polynomial inequality x^2-3x-10>0

djverab [1.8K]

As x² - 3x - 10 factors, we can use the zero product property and pull it apart into factors. It factors because 2 and 5 have a difference of 3 and product of 10

x² - 3x - 10 > 0

(x - 5)(x + 2) > 0

To find where the inequality is true, we use a sign test. When x-5 > 0, it means x >5, and 5 is one of our sign test values. Similarly, -2 is the other. We can then make three intervals - A (less than -2), B (between -2 and 5), and C (more than 5).

<--------------- -2 ------------------ 5 -------------------------->

A B C

To do a sign test, we choose values to see what happens. First, test x = -5.

(-5 - 5)(-5 + 2) = (-10)(-3) = 30. Because 30 > 0, the inequality is true for x < -2. So interval A is true.

Next, test x = 0.

(0 - 5) (0 + 2) = (-5)(2) = -10. Because -10 < 0 is false, the inequality is false for x > -2 and x < 5. So interval B is false.

Last, test x = 10

(10 - 5) (10 + 2) = (5) (8) = 40. Because 40 > 0 is true, the inequality is true for x > 5. So interval C is true.

We put the true intervals together.

(-∞, -2) ∪ (5, ∞) is where this inequality is true,

{x : x < -2 or x > 5} is also how it's said in set notation.

7 0

3 years ago

Rksheet

VLD [36.1K]

See below for the terms, coefficients, and constants in the variable expressions

<h3>How to determine the terms, coefficients, and constants in the variable expressions?</h3>

To determine the terms, coefficients, and constants, we use the following instance:

ax + by + c

Where the variables are x and y

Then the terms are ax, by and c
The coefficients are a and b
The constant is c

Using the above as guide, we have:

A) 2b + 2ac+5

Terms: 2b, 2ac, 5
Coefficient: 2, 2 and 5
Constant 5

B) 34abx + 16y +1

Terms: 34abx, 16y, 1
Coefficient: 34ab, 16
Constant: 1

C) st +4u + v

Terms: st, 4u, v
Coefficient: 4

D) 14xy + 6

Terms: 14xy, 6
Coefficient: 14, 6
Constant 6

E) 14x + 12y

Terms: 14x, 12y
Coefficient: 14, 12

F) 3+ 6-7+a

Terms: 3, 6, -7, a
Coefficient: 1
Constant: 3, 6, -7

Read more about terms, coefficients, and constants at:

brainly.com/question/14625487

#SPJ1

5 0

1 year ago

What is x+3y=6 what is the x

Ymorist [56]

X=-3y+6 That is the answer.

3 0

3 years ago

What is the sum of the interior angles of the polygon shown below?

34kurt

Answer:

900

Step-by-step explanation:

Sum of interior angle for a polygon = (n-2)180

7 sides

=(7-2)180

=5*180

=900

8 0

3 years ago