Draw a box and whisker plot for the data set:​

RA ≅ RB . Option A is correct.

In a triangle if any of the two angles are equal, then the sides opposite to the equal angles are also equal.

Given,

          ∠RAB ≅∠RBA

Also, side opposite to  ∠RAB is side RB

and, side opposite to  ∠RBA is side RA

Hence, side RA and side RB are equal.

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Ques) What is the symbol (∑)?

This symbol is used to denote the sum of multiple numbers.

This symbol is generally put by an index that varies to encompass all terms that must be considered in the sum of all the numbers.

In order to calculate the arithmetic mean of a set of data, the first step is to add up (sum) all of the data values (x) and then divide the result by the number of values (n). Since ∑ is the symbol used to indicate that values are to be summed (see Sigma Notation) we obtain the following formula for the mean

Mean = ∑ x/n

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Its X = 15/4 first divide both sides by 4 then simplify
answer X  = 15/4

The coordinates of point D on the given line that intercepts the y-axis are: (0, 15/2).

The coordinates of the point where a line intercepts the y-axis are the coordinates of the y-intercept of the line.

In the image given, a line to intercept the y-axis at point D. Point D is the y-intercept of the line. The coordinates of point D are the coordinates of the y-intercept of the line.

Step 1: Find the slope of the line using the two points, (-6, 0) and (2, 10)

Slope (m) = change in y / change in x = (10 - 0) / (2 -(-6))

Slope (m) = 10/8

m = 5/4

Step 2: Find the y-intercept of the line by substituting (x, y) = (2, 10) and m = 5/4 into y = mx + b

10 = 5/4(2) + b

10 = 5/2 + b

10 - 5/2 = b

15/2 = b

b = 15/2

The coordinates of the y-intercept is (0, 15/2). Therefore, the coordinates of point D are (0, 15/2).

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Answer: omm

but I need this so

Step-by-step explanation:

Based on the features of a proportional graph: A. Yes, it is a proportional relationship because the line intersects with the point of origin (0, 0).

The graph of a proportional relationship is a straight line that must surely pass through the point of origin, (0, 0)

A proportional relationship between two variables x and y can be written in slope-intercept form as y = mx, where the slope or constant of proportionality is represented by the value of m.

The graph above shows a straight line that intersects the point of origin at (0, 0).

Since the line intersects (0, 0), we can conclude that: A. the graph shows a proportional relationship because the line intersects with the point of origin (0, 0).

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The correct 7 digit combination safe-breaker code which is a palindrome is given by 6437346.

A palindrome is a number that reads the same both forward and backward in mathematics. Examples of palindromes include 353, 787, and 2332.

The following straightforward procedure may be used to find other palindromes given any set of integers.

Start with any number in step one. Identify it as original number. Reverse the original number's digits.

Call the number whose numbers have been reversed in step two. The new number should be added to your original one.

Call the number discovered by combination of the new number with the test number.

Step 3: You're finished if the test number is a palindrome. If the test number is incorrect, use your original number instead and complete the previous procedures using your test number.

How to solve?

Let the seven-digit code be given by abcdefg. As it is palindrome therefore, a=g, b=f, c=e, and d=d. Also, first digit is double than third digit that is a=2c.

As per the question d=7, c=f-1 and,

b=7-3 = 4.

Since the number is palindrome so b=f. Therefore f=4.

Now, c=f-1 => c = 4-1 = 3, and c = e = 3.

Also, a=2c => a=6.

Thus, the numbers are a=6, b=4, c=3, d=7, e=3, f=4, g=6 and the combination is 6437346.

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Answer:

3x3 should be the maximum dimensions of a rectangle with a perimeter of 12.

Step-by-step explanation:

the slope of a line ("m" in the given point-slope form) is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

we got 2 points already identified :

(-3, -4) and (1, 4).

x changes by +4 (from -3 to 1).

y changes by +8 (from -4 to 4).

the slope m is then

+8/+4 = 2

let's use e.g. (1, 4) as given point for the point-slope form (but you can use also the other, or any point on the line) :

y - 4 = 2(x - 1) = 2x - 2

y = 2x + 2

-2x + y = 2

and that is the standard form.

Answer:

8.m = ∞

9.[tex]m=\frac{20c-39}{54}[/tex]

Step-by-step explanation:

8.The equation is a vertical line, so the slope is ∞

so the answer for 8. is m = ∞

9.Switch sides:

2.7m + 1.95 = c

Multiply both sides by 100:

2.7m · 100 + 1.95 · 100 = c · 100

Refine:

270m + 195 = c · 100

Move 195 to the right side so it would be: 270m = c · 100 - 195

And now Divide both sides by 270

[tex]\frac{270m}{270}[/tex] = [tex]\frac{c*100}{270}[/tex] - [tex]\frac{195}{270}[/tex]

And now all that's left is to Simplify it

so the answer for answer 9. is [tex]m=\frac{20c-39}{54}[/tex]

Answer:The value of p is -9.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)m=(p-3)/(9-6)m=(p-3)/3-4=(p-3)/3-4*3=p-3-12=p-3p=-12+3p=-9

Answer:

x = 2

Step-by-step explanation:

If it is a vertical line, then is is x = something (the point where the line is). If it is a horizontal line, then it is y = something (the point where the line is).

The number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a box of cereal states that there are 99 calories in a ​3/4 cup serving.

The number of calories per cup is calculated as,

3 / 4 cup = 99 calories'

1 cup = 99 x (4 / 3 )

1 cup = 132 calories

The number of calories for 4 cups of cereal,

1 cup = 132 calories

4 cup = 132 x 4 calories

4 cup = 528 calories

Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

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the amount invested at 4% interest rate = P = $1228.57

The amount invested at 5% interest rate = 2P = $2457.14

What is principle interest ?

Every mortgage payment is made up of principal and interest, which are its two main components. The principal, which you borrow for your mortgage, and the interest, which you pay each month to use the loan, are the same thing. You may select the finest mortgage choice for you by being aware of both principle and interest.

We will use the simple interest formula: A=P(1+rt)

where: A=total amount accrued, P=principal, r=rate of investment, t=time (years, here). r and t are given, and we know that the total amount accrued from both accounts minus the invested amounts (principals) will be $175.

A1=P(1+0.04*1) simplified: A1=P(1.04)

A2=2P(1+0.05*1) simplified: A2=2P(1.05)

because the amount invested in the account with interest rate of 5% is twice as much as the amount invested at 4% interest rate.

A1+A2-P-2P=175 because the total income is $175.

Substituting in equations 1 and 2 we get:

P(1.04)+2P(1.05)-P-2P=175

1.04P+2.1P-3P=175

3.14P-3P=172

0.14P=172

P=1228.57

So, the amount invested at 4% interest rate = P = $1228.57

The amount invested at 5% interest rate = 2P = $2457.14

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The expression that represents the perimeter of the rectangle is 8x - 14

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

Length of rectangle(L) = x - 4

Width of rectangle(W) = 3x - 3

Perimeter of rectangle = 2(L + W)

L =  x - 4, W = 3x - 3

Perimeter of rectangle = 2( x - 4 + 3x - 3)

Perimeter of rectangle = 2( 4x - 7) which is 8x - 14

In conclusion 8x - 14 is the expression for the perimeter of the rectangle

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Answer:

Neither

Step-by-step explanation:

Line d:

m = 4-9/2-6 = -5/-4 = 5/4

Line e:

m = 7-3/10-5 = 4/5

It would be neither because if it was perpendicular, one of the slopes' would have to be negative.

The sampling technique that Dr. Choi is using is given as follows:

Stratified random sampling.

The sampling techniques are described as follows:

In this problem, the population is divided into three groups, listed as follows:

An equal amount of each group was sampled, hence a stratified sample was used.

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Answer:3.2

Step-by-step explanation:

Answer:

x - 6y = 14

Step-by-step explanation:

Add the like terms (x's and y's and constants):

 -2x+4y= 17

+ (3x-10y= -3​)

   x - 6y = 14

This is an exterior angle because x and y=180.

now let us pretend those sides are z. Each side is equal.

So x=z

so z=y

now 180/3 is 60

so x or z is 60.

now we use exterior angle and now we do 180-60 is 120.

SO

X=60

Y=120

now we make sure by z times 2 should equal y and z=x and x=60 and 60 time 2 is 120 so it is correct.

Answer:

460000 milligrams converted to pounds would be 1.01 pounds.

Step-by-step explanation:

Answer:

a. 1/2 or 50% b. 1/2 or 50%

Step-by-step explanation:

a. 1/2 of 50%

Since theres 2 sides, and 1 head, it will be 1/2 outcomes so 1/2.

b. Stil 1/2 or 50%

The coin flips are not dependent, and they have 2 outcomes and 1 tails.

Stil 1/2

The correlation coefficient r between an employee's age, x, and annual income, y, given as 0. 923, will vary by 85.2% of its value.

The Pearson correlation coefficient, sometimes referred to as Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply the correlation coefficient, is a statistical indicator of the linear relationship between two sets of data. A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together. With a correlation value of 1, there is a fixed proportional rise in one variable for every positive increase in the other. For instance, shoe sizing increases almost perfectly with foot length.

Here,

The correlation coefficient= 0.923

The percent of variation,

=correlation coefficient²*100

=0.923²*100

=85.192%

=85.2%

When the correlation coefficient r between an employee's age, x, and yearly income, y, is provided as 0. 923, the percent of variance will be 85.2%.

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8) An equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh is; (C - 1.95)/(m) = 2.7

9) An equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh is; m = (20C - 39)/54

The general formula for the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

8. The formula for point slope form is;

y − y₁ = m(x − x₁)

The equation is a vertical line, so the slope is ∞

Thus,  m = ∞

9. We are given the equation as;

C = 2.7m + 1.95

Multiply through by 100 to get:

2.7m * 100 + 1.95 *· 100 = C* 100

This gives us;

270m + 195 = 100C

Subtract 195 from both sides to get;

270m = 100C - 195

Divide both sides by 270 to get;

m = (20C - 39)/54

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The volume of copper needed to make such pot is 20πrh + 10πr² [tex](cm)^{3}[/tex]

The surface area of a three-dimensional object is the total area of all its faces. In real-life we use the concept of surface areas of different objects when we want to wrap something, paint something, and eventually while building things to get the best possible design.

The quantity of copper she needs to make such pot is same as the volume of copper need for such pot.

Volume = surface Area x thickness

Surface area had beemn given as 2πrh + πr²

thickness as 1mm = 10cm

Volume = 10(2πrh + πr²)

volume =  20πrh + 10πr² [tex](cm)^{3}[/tex]

In conclusion, the quantity of copper needed for the pot is  20πrh + 10πr² [tex](cm)^{3}[/tex]

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Answer: 2

Step-by-step explanation:

Answer:

your answer is 5.

Step-by-step explanation:

Work Shown:

P(D) = P(D and A) + P(D and B)

P(D) = P(D given A)*P(A) + P(D given B)*P(B)

P(D) = 0.6*0.5 + 0.7*0.5

P(D) = 0.30 + 0.35

P(D) = 0.65

The notation "P(D given A)" means that we follow the upper branch "A", and then go to sub-branch D to determine the 0.6; similar logic is applied for P(D given B).

The probability of getting D is 0.65.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have two events A and B.

So, P(D) = P (AD) + P (BD)

P(D) = P (0.5 x 0.6) + P (0.5 x 0.7)

P(D) = 0.30 + 0.35

P(D) = 0.65

Thus, the probability of getting D is 0.65.

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Answer:

Choice B

Step-by-step explanation:

The graph crosses the xy-plane at the following places for x:

x = -5

x = -2

x = 3

x = 7

Look at choice B.

Setting (x - 3)^2, (x + 5)^2, (x - 7) and (x + 2) to zero and solving for x leads to the crossing locations on the xy-plane as shown on the graph.