Which statistical question does the data in Table 2 answer?

Answer:

\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

\(A = \frac{h_{b}+b}{2}\)

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

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Answer:

139,159,155.5

Step-by-step explanation:

139,159,155.5

Since you figured it out, plz mark me as brainliest.

Answer: The correct answer is A, look at the image for the explanation

Step-by-step explanation:

The equation can be used to find a(n) the nth term in the sequence is,

⇒ a (n) =  93.2 + 1.2n

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given:

a₄ = 98

a₅ = 99.2

a₆ = 100.4

a₈ = 102.8

Now, Use the arithmetic sequence formula below:

a (n) = a₁ + (n - 1) d

Where,

an = nth term

a₁ = first term

n = number of terms

d = common difference

Let's solve for the common difference.

d = a₅ - a₄ = 99.2 - 98 = 1.2

Use the 8th term a8, to find the first term:

⇒ 102.8  = a₁ + (8 - 1) 1.2

⇒ a₁ = 94.4

Therefore, the first term a₁ is, 94.4

Thus, the equation for the nth term will be:

Input 94.4 for a1, 1.2 for d in the arithmetic formula above as;

⇒ a (n) = 94.4 + (n - 1) 1.2

⇒ a (n) =  93.2 + 1.2n

Thus, The equation can be used to find a(n) the nth term in the sequence is,

⇒ a (n) =  93.2 + 1.2n

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Answer:

\(78in.^{2}\)

Step-by-step explanation:

Area of 2 parallelograms = 2(bh)

                                          = 2(13 x (6 ÷ 2))

                                          = 2(13 x 3)

                                          = 2 x 39

                                          = \(78in.^{2}\)

hope this helps, sorry if it is not right

Answer:

-1300

Step-by-step explanation:

$700 - $2000 = -1300

Answer:

The answer is 132

Step-by-step explanation:

First, find the area wholely, 20x8 = 160. Then find the triangle which is 7x 8 divided by 2 is 28 and you subtract the whole are by the triangle which is 160 - 28 is 132

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Answer:

3/20 = MAD or 0.15 as a decimal

1/2= Mean or 0.5 as a decimal

Step-by-step explanation:

Answer:

12,180

Step-by-step explanation:

9*3=27

3*2+2=8

x out the 3 and add a 0

5*9=45

5*2+4=14

so it is 87 * 140= 12,180

Answer:

By power of a point, AC⋅CB=DC⋅CE. That is, 12⋅12=6⋅(2R–6).

Then, R=15.

Answer:

41 grams

Step-by-step explanation:

Option d. m>7 is the correct answer.

Given,

     2m+5>19

or, 2m+5+(-5)>19+(-5)      [adding both side with a negative number doesn't

                                           change the inequality sign]

or, 2m>14

or, (2m/2)>(14/2)             [also dividing both sides by a non-negative number     doesn't change the inequality sign]

or, m>7.

Hence, m>7 is the correct answer to the given question.

Learn more about inequality problems,

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Answer: WDYM SPRED

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

By definition the slope is value m in the equation y=mx+b. Here, m=-2 and b=0.

Answer:

The slope is -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

........

Answer:

The equation is 3mx1/4t=9

Step-by-step explanation:

step 1) 3mx1/4t=9

step 2) 3m=36

step 3) there was 12 pieces of cake

Answer:

About 7

Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

took the test hope it helps =\/

Answer:

yes, the table illustrates a line

equation of line:  y = -5/2x + 5

Step-by-step explanation:

since the slope is the same between each pair of points then you have a straight line

slope = -5/2

y-intercept = 5

The table represents a linear function.

The linear function is f(x) = -(5/2) + 5

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the table,

f(-2) = 10

f(0) = 5

f(2) = 0

f(4) = -5

If the slope between two points is in constant the function will form a linear function.

Slope = f(b) - f(a) / b - a

The slope for f(-2) and f(0)

Slope = (5 - 10) / (0 + 2) = -5 / 2

The slope for f(2) and f(0).

Slope = (0 - 5) / (2 - 0) = -5/2

The slope between f(4) and f(2).

Slope = (-5 - 0) / (4 - 2) = -5 / 2

The function is a linear function since the slope is constant.

Let the function be f(x) = mx + b

Now,

f(-2) = 10

m(-2) + b = 10

-2m + b = 10 ______(1)

f(4) = -5

m(4) + b = -5

4m + b = -5 ____(2)

From (1)

b = 10 + 2m _____(3)

putting in (2).

we get,

4m + b = -5

4m + 10 + 2m = -5

6m = -5 - 10

6m = -15

m = -15/6

m = -5/2 putting in (3).

b = 10 + 2(-5/2)

b = 10 - 5

b = 5

Now,

The linear function:

f(x) = -(5/2)x + 5

Thus,

The table represents a linear function.

The linear function is f(x) = -(5/2) + 5

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The amount of money raised and the number of students who attended the dance will be directly proportional to each other, meaning both are positively dependent on each other. This type of a relationship is called a linear relationship, which can be represented by a type of graphical method called the "linear graph".

To accurately represent the data, on the x axis you need to plot the the number of students attending the dance; and on the y axis you need to plot the amount raised and you'll obtain a positive slope of 10.

The starting point of the graph would have the coordinates (0,100) or x = 0 and y = 100, because even if there are no students attending the event, the decoration cost of 100 dollars would still have to be paid.

The equation for the same should be written as: Amount of money raised = 10 x no. of students + 100

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Answer:

y ≤ −2x + 3

y ≤ x + 3

Step-by-step explanation:

they both share the slope of 3.

line a has a slope of -2

line b has a slope of 1

the sign ≤ means that the inequalities have a solid line and there below the line.

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Answer: y ≤ −2x + 3

y ≤ x + 3

Step-by-step explanation:

Answer:

[S / (2πr)] - r = h

Step-by-step explanation:

You can't solve for H because there isn't a capital H in the equation. However, I'm going to pretend its "h" because that might have been a mistake.

S = 2πr(r + h)

Divide by 2πr to try to isolate h

S / (2πr) = r + h

Subtract r from both sides to get h by itself

[S / (2πr)] - r = h

That is your final answer.

\(\\ \rm\Rrightarrow S=2\pir(r+h)\)

\(\\ \rm\Rrightarrow r+h=\dfrac{S}{2\pi r}\)

\(\\ \rm\Rrightarrow h=\dfrac{S}{2\pi r}-r\)

\(\\ \rm\Rightarrow h=\dfrac{S-2\pi r^2}{2\pi r}\)

The recipe that has the greater ratio of water to dish soap is Recipe A

The graph of Recipe A created with MS Excel is attached.

A ratio is a representation of the comparison of two quantities, using division.

The data in the tables indicates that we get;

Recipe A

Ratio of water to dish soap = 10 : 4 = 5 : 2

Recipe B

Ratio of water to dish soap = 12 : 6 = 2 : 1

The ratio 5 : 2 for the water to dish soap of Recipe A is larger than the ratio 2 : 1 for the water to dish soap of Recipe B. Therefore;

Recipe A has a greater ratio of water to dish soap

Please find the plot of the three ordered pairs for the Recipe A recipe, created with MS Excel

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u can add 10 plus 8 u can get 18 or if u get other number u wrong

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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