Write the equation of the line represented by the following table.

Answer:

[tex]m=\frac{9}{7}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{-4-5}{-1-6}[/tex]

[tex]m=\frac{-9}{-7}[/tex]

[tex]m=\frac{9}{7}[/tex]

Answer:

a

A sample survey; we want to gather information about a population based on a sample.

b

An experiment; we want to establish a cause-and-effect relationship

c

An observational study; there is no particular population from which we will sample, we simply observe.

Step-by-step explanation:

Considering the first question

  Are people generally satisfied with how things are going in the country right now?

Here the aim is to gather the opinion of the entire population and since it is impossible to ask each and everyone that make up the population then the best option is to taken a sample of the population and then draw conclusion from their opinion

So the correct option to question a  is  

A sample survey; we want to gather information about a population based on a sample

Considering the second question

Do college students learn basic accounting better in a classroom or using an online course?

Here in other to get the best answer to the question there is need to carry out  a statistical experiment using a group of college student where by a particular group of college student is exposed to learning a particular topic through class room and another group of college student is exposed to learning the same subject through online and then the same test is given to both group of student to determine the outcome of the experiment.

So the solution to the question b is

 An experiment; we want to establish a cause-and-effect relationship

Considering the third  question

How long do your teachers wait on the average after they ask their class a question?  

For the above  question we see that in order to get the correct solution to this problem there is a need to observe the teachers during question and answer section of their teaching so the correct answer to this question is

An observational study; there is no particular population from which we will sample, we simply observe.

Answer:

Multiplication:                Division:                  Addition:                Subtraction:

100 * 2/5                      100/2 *5                      89 + 43 - 10             4 - 5 + 7

5 + 3 - 8 * 10                 14 - 4/8                       (4 + 3)/ 2 (idk about this one)

6 * 3 - 8                         15 + 8 / 4 - 6

                                    2/3 + 4 * 2

Hope this helps!

Answer:

100*2/5, 6*3-8, 2/3+4*2, 5+3-8*10 goes to multiplication first. 100/2*5, 14-4/8, 15+8/4-6 goes to division first. (4+3)/2, 89+43-10 goes to addition first. 4-5+7 goes to subtraction first.

Step-by-step explanation:

Follow the order of the operations (Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.) Addition and subraction, multiplication and division gets determined by reading from left to right. Whichever comes first will be first calculated.

15+8/4= 8/4 is first. Division.

14-4/8= 4/8 is first. Division.

2/3+4*2= 4*2 is first. Multiplication.

100*2/5= Multiplication is first.

100/2*5=100/2. Division.

6*3-8=6*3. Multiplication.

(4+3)/2=(4+3). Addition.

89+43-10= 89+43. Addition.

4-5+7=4-5. Subtraction.

5+3-8*10= 8*10. Multiplication.

35% of 80 is 28.

Answer is 80.

Answer:

65mph

Step-by-step explanation:

Add 100 and 30 together then divide by 2. You get 65 miles per hour.

Answer:

x=9.06

Step-by-step explanation:

We have the hypotenuse and we want the opposite of angle a.

so we do

sin65 = x/10.  

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer: ten-thousand

Not completely sure if this is what you're asking for... If not, explain better pls!

Answer:

2698

Step-by-step explanation:First you take 1000 from 5000 and then distribute it to 395

Answer:

you would subtract 2697 from 5395. you have it in the correct format. the answer would be 2,698.

Step-by-step explanation:

Answer:

<B = <ABC = 107°

Step-by-step explanation:

<CAB = 32° (property of isosceles triangle)

<ACB = 41° (property of isosceles triangle)

<ABC = ?

<ABC + <ACB + < CAB = 180° (sum of angles of triangle)

<ABC + 41° + 32° = 180°

<ABC + 73° = 180°

<ABC = 180° - 73°

<ABC = 107°

Using the sum of the internal angles of a triangle and supplementary angles, it is found that the measure of angle 1 is of 121º.

The sum of the three internal angles of a triangle is of 180º.

Hence, the measure of the remaining interior angle is given by:

60º + 61º + x = 180º

x = 59º.

Two angles are supplementary if the sum of their measures is of 180º.

An interior angle is supplementary with it's respective exterior angle, hence:

m<1 + 59º = 180º

m<1 = 121º.

The measure of angle 1 is of 121º.

More can be learned about supplementary angles at https://brainly.com/question/12919120

Answer:

11/6 or 1 5/6

Step-by-step explanation:

11 = 5 = 6

11/6

simplified it is

1 5/6

Answer:

8

Step-by-step explanation:

-12 is below 0 and 8 is above

Answer:

8 is greater

Step-by-step explanation:

the negative sign= - is meaning below so

12 below is -12 which is less so 8 is greater

Answer:

27.50(80) is 2,200

2,200-396-175-264= 1,365

I think this is how u do it correct me if I'm wrong

Answer: r= 5/2 or r= 2 1/2

Step-by-step explanation:

Answer:

$225.00

Step-by-step explanation:

7% of 225 is $15.75

.07x225=$15.75

$225+$15.75=$240.75

Answer:

The number -5 is a real number is true.

Answer:

what number is the second sentence

Answer:

69

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Population mean (μ) = 2.55

Population standard deviation (σ) = 0.5

Sample size (n) = 30

Sample mean (x) = 2.76

α = 0.05

STEP 1:

Stress score in general executive (s1)

Stress score in exercising executive (s2)

Null : s1 = s2

Alternative : s1 < s2

STEP 2:

Shape of distribution = normal

Population mean (μ) = 2.55

Population standard deviation (σ) = 0.5

Sample size (n) = 30

Sample mean (x) = 2.76

α = 0.05

Decision rule :

α = 0.05 which corresponds to a t score (t0) ;

df = n - 1 = 30 - 1= 30 at 0.05 = 1.699

If :

(Test statistic (t) > t0) ; reject the Null

(right tailed test)

Test statistic (t) :

(x - μ) / (σ/√n)

(2.76 - 2.55) / (0.5/√30)

0.21 / 0.0913

= 2.30

t > t0

2.30 > 1.699

t is more extreme than t0

Hence, reject the null at α = 0.05

Answer:

7.2-2.7=x Doo the math buddy

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Answer:

okay well the total distance is 3 and 1/3 km  and the speed that it was for him to go downstream was 2/3 km per hour

Answer:

Hi There!

Your answer is :

He ran 43.75% so far.

Step-by-step explanation:

16 laps = GOAL

350* 16 to determine goal yards

16laps = 5,600yrds

1 lap= 350 yrds

xlaps = 2450 yrds

2450/350 to determine x laps.

7 laps = 2450 yards

He is 2450 yards into his 5,600 yard goal.

IF 5,600 = 100%

/5600

1 yard = 1/56th %

* 2450

2450yards = 43.75%

Hope this helps

Answer:

10648

Step-by-step explanation:

22 x 22 x 22

Answer:

well when you hear "union" you think 'joined' or 'together' since thats what it means, In a mathmatical set of numbers, union means that both of the sets are necessary for the equation to be true. I'm not sure what the sets are in this problem but in order to get "union" from anything, that means that when you checked for your domains, the values that you got had to be part of both the given sets

Answer:

-2

Step-by-step explanation:

x = -2

Answer:

Step-by-step explanation:

2x+21 =-3 (2x-3)+2x

distributive property

2x+21=-6x+9+2x

combine variables

2x+21=-4x+9

simplify

-2x=12

simplify

x=-6

Answer:

 1

Step-by-step explanation:

Let x represent the number. The given relation is ...

 x² +(x+3)² = 17

 2x² +6x +9 = 17 . . . . simplify

 x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2

 (x +4)(x -1) = 0 . . . . . factor

The solutions make these factors zero: -4 and +1. The positive solution is 1.

The number is 1.

Answer:

your age is 10 and your brothers age is 2 the equation is

Step-by-step explanation:

a=5b=b+9

the first part is how old you are the second is how old your brother is and the third is how old your sister

Answer:

4x - 6 = 24

+ 6. +6

4x=30

x=7.5