The box plot represents the number of tickets sold for a school dance.

A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.

Which of the following is the appropriate measure of center for the data, and what is its value?

The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.

According to the information, it can be inferred that of the next 99 packets of seeds sold, 27 will be pumpkin seeds.

To calculate how many packages of pumpkin will be sold in the next 99 sales we must carry out the following procedure: A rule of three.

According to the above, if of 77 packages we sold 21 of pumpkin, we can infer that 27 will be the packages of pumpkin seeds that we will sell in the next 99 sales.

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Answer:

Look Down

Step-by-step explanation:

7) D

8) B

9) A

10) B

11) C

12) D

13) A

14) B

Answer:

7=c

8=b

9=a

10=d

11=A

12=D

13=A

14=B

Step-by-step explanation:

Answer:

The building is 13.91 m tall

Step-by-step explanation:

The parameters given are;

Angle of elevation to the top of the building = 71°

Angle of depression to the bottom of the building = 26°

Height of the man = 2  m

Therefore, the sight of the man, the man's height, and the distance of the man from the building forms a triangle where:

The hypotenuse side = The sight of the man to the bottom of the building

Hence;

In ΔABC, A being at the eye level or head level of the man, B at the foot and C at the bottom of the building

∴ ∠A + Angle of depression to the bottom of the building = 90°

∠A = 90° - 26° = 64°

∠B = 90° and ∠C = 26° (Sum of angles in a triangle)

\(Tan(C) = \frac{AB}{BC}\)

Distance of the man from the building = BC

\(Tan(26) = \frac{2}{BC}\)

\(BC= \frac{2}{ Tan(26) } = 4.1 \, m\)

Given that the angle of elevation to the top of the building = 71°, we have;

ΔAET

Where:

A is at the head level of the man,

E is the point on the building directing facing the man and

T is the top of the building

Hence AE = BC and ∡TAE = 71°

TE + AB= The height of the building

\(Tan(TAE) = \dfrac{TE}{AE}\\\\Tan(71) = \dfrac{TE}{4.1}\)

∴ TE = tan(71°) × 4.1 = 11.91 m

Hence the height of the building = 11.91 + 2 = 13.91 m.

Using the function V(x) = 85 × \(0.75^x\) after 3 owners, the resale value of the textbook would be approximately $35.859.

To find the function that represents the resale value of the textbook after x owners, considering a 25% decrease with each previous owner:

Step 1: Let's start with the initial value, which is the purchase price of the new textbook. We know that the new textbook is sold for $85.

Step 2: With each previous owner, the resale value decreases by 25%. This means that after one owner, the resale value will be 75% (or 0.75) of the initial value.

Step 3: After two owners, the resale value will be 75% of the previous value, or 0.75 times the value after one owner.

Step 4: Following this pattern, we can conclude that the function representing the resale value of the textbook after x owners can be expressed as:

V(x) = 85 × \(0.75^x\)

Here, V(x) represents the resale value after x owners and \(0.75^x\)represents the decreasing factor for each previous owner.

For example, if we want to find the resale value after 3 owners, we can substitute x = 3 into the function:

V(3) = 85 × 0.75³

V(3) = 85 × 0.421875

V(3) ≈ 35.859

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The vector A is (49.9m) x and vector B is (1.5m) x.

In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.

Find the vector A. Find the vector B.

We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).

A − B = −51.4.............................(1)

C = 62.2.............................(2)

A + B + C = 13.8.............................(3)

Now putting the value of C from Equation (2) in Equation (3)

A + B + C = 13.8

A + B + 62.2 = 13.8

Subtract 62.2 on both side, we get

A + B = 13.8 - 62.2

A + B = - 48.4.....................(4)

Adding the equation (1) and (4), we get

2A = - 99.8

Divide by 2 on both side, we get

A = - 49.9

Now subtracting the equation (1) and (4), we get

2B = -48.4 - ( -51.4)

2B = 3

Divide by 2 on both side, we get

B = 1.5

Since all of the calculations are done in terms of the unit vector x.

So the answer is vector B = (1.5m) x and vector A = (49.9m) x.

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Answer: -7,466 I would think.

Step-by-step explanation:

Applying the Pythagorean theorem, the length of segment VS in the diagram given is: D. 15 units

The theorem states that, the square of the hypotenuse of a right triangle = sum of the squares of the legs of the right triangle.

Given that TR = RV, therefore:

5x - 4 = 2x + 5

Solve for x

5x - 2x = 4 + 5

3x = 9

x = 3

TS = 6x - 3 = 6(3) - 3 = 15 units

TR = RV = 2x + 5 = 2(3) + 5 = 11 units

Find RS using the Pythagorean theorem:

RS = √(TS² - TR²) = √(15² - 11²) ≈ 10 units

Find VS using the Pythagorean theorem:

VS = √(RS² + RV²) = √(10² + 11²) ≈ 15 units

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Answer:

D. 15 units

Step-by-step explanation:

Answer:

• The future value is $635.72

• The compound interest is $75.72.

Explanation:

To find the future value at compound interest, we use the formula below:

Given:

• Principal, P= $560

• Rate, r = 4.25% =0.0425

• Period, k = 4 (Quarterly)

• Time, n = 3 years

Substitute these values into the formula:

The future value is $635.72

Next, we find the compound interest:

The compound interest is $75.72.

Answer:exact form: decimal form=

70082

Explanation=Write in radical form: exact form: decimal form: ...

Answer: exact form: decimal form: ...

Answer:              

(Theres not much of a way for me to type the answer, so i added it into a png. hope it helps!)

Answer:

y=2x-3

Step-by-step explanation:

Find two points

(1,-1) and (2,1)

plug into slope formula m=y2-y1/x2-x1

1--1/2-1 = 2

pick a point and plug into point slope formula y-y1=m(x-x1)

y--1=2(x-1)

y+1=2x-2

y=2x-3

Answer:

Step-by-step explanation:

Points given

Slope of line AB

Slope of line CD

The slopes are neither equal nor opposite reciprocal

Answer:

10x+9

Step-by-step explanation:

Answer:

y=1/2x+35

Step-by-step explanation:

Find two points: 0,35 and 40,65.

65-35 is 20/40 or 1/2

y=1/2x+b

plug in 0,35

35=b

y=1/2x+35.

Hope this helps!

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Answer:

−4−7

=−4+−7

=−11

Step-by-step explanation:

if its the same sign add, different signs keep the sing of the larger number

Answer:

1. Second Option, 2. Second Option, 3. Second Option, 4. First Option, 5. Sonia, 6. 1/2 a mile (.5), 7. $0.25, 8. $21, 9. Stan, Tran, Fran.

Step-by-step explanation:

For all of them, just divide the top number by the bottom number and compare all the numbers.

She drove 5 hours back at a rate of 60 km/h. Total distance on the way back was 5 x 60 = 300 km

The trip there would be 300 km and she drove for 6 hours

Average speed = 300 km / 6 hours = 50 km/h

Answer: 50 km/h

The probability of selecting a piece of pottery is 7/26, and when converted to a percentage and rounded to the nearest whole percent, it is approximately 27%.

An archaeologist uncovers 26 artifacts from a site. The types of artifacts are shown below. The horizontal axis represents tools, pottery, and coins. The vertical axis represents the number of artifacts and ranges from 0 to 16, in increments of 2. The number of artifacts of tools is 14. The number of artifacts of pottery is 7. The number of artifacts of coins is 5.

The total number of artifacts at the site = 26

Number of pottery artifacts = 7

Probability of selecting a piece of pottery = Number of pottery artifacts/Total number of artifacts

Probability of selecting a piece of pottery = 7/26

If we want to express this probability in a percentage, we can convert it by multiplying it by 100.

Thus,Probability of selecting a piece of pottery = 7/26 = 0.269 = 26.9% (rounded to the nearest whole percent)

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(A) qualitative and quantitative categories. (A) True. (C) is highly susceptible when used outside tested range of X values.

Data is broken into (A) qualitative and quantitative categories, which refers to the nature of the data being analyzed. Qualitative data is non-numeric and describes characteristics or attributes, while quantitative data is numeric and describes quantities or measurements.

The statistical calculation r shows the correlation between variables (Y, X) in a regression analysis. This statement is true. The correlation coefficient r is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

Linear regression used for estimation of A is susceptible when used outside the tested range of X values. This statement is true. Linear regression models are based on the assumption of a linear relationship between the dependent variable Y and the independent variable X within a certain range of X values. When used outside of this range, the linear regression model may not accurately predict the values of Y. This is because the linear relationship between Y and X may not hold outside of the tested range, or other factors may come into play that were not accounted for in the model. Therefore, it is important to carefully consider the range of X values used in the regression analysis and to exercise caution when making predictions outside of this range.

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Answer: Rational number

Answer:Y=9

Step-by-step explanation:

Answer:

Y=9

Step-by-step explanation:

Took the test and got 100%.

for the 1st one, is noteworthy that the denominators of 2 and 11 are both prime numbers, meaning the LCD from that is just their product, or namely 22.

\(\stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}} ~\hfill \stackrel{mixed}{3\frac{9}{11}} \implies \cfrac{3\cdot 11+9}{11} \implies \stackrel{improper}{\cfrac{42}{11}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{2}~~ - ~~\cfrac{42}{11}\implies \cfrac{(11)13~~ - ~~(2)42}{\underset{\textit{using this LCD}}{22}}\implies \cfrac{143-84}{22}\implies \cfrac{59}{22}\implies 2\frac{15}{22} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\stackrel{mixed}{7\frac{2}{9}}\implies \cfrac{7\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{65}{9}} ~\hfill \stackrel{mixed}{2\frac{5}{12}} \implies \cfrac{2\cdot 12+5}{12} \implies \stackrel{improper}{\cfrac{29}{12}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{65}{9}~~ - ~~\cfrac{29}{12}\implies \cfrac{(4)65~~ - ~~(3)29}{\underset{\textit{using this LCD}}{36}}\implies \cfrac{260-87}{36}\implies \cfrac{173}{36}\implies 4\frac{29}{36}\)

On solving the linear equations -2x - 7 = -3y and 4x + 3y = -3 the value of x is obtained as -5/3 and the value of y is obtained as 11/9.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The first linear equation given is - -2x - 7 = -3y

The second linear equation given is - 4x + 3y = -3

To solve the system of equations, multiply equation (1) by 2 -

2(-2x - 7) = -3y × 2

-4x - 14 = -6y

-4x + 6y = 14....(3)

Add equations (2) and (3) -

4x + 3y + (-4x + 6y)  = -3 + 14

4x + 3y + -4x + 6y  = -3 + 14

9y = 11

y = 11/9

Substitute the value of y in equation (1) -

-2x - 7 = -3(11/9)

-2x - 7 = -33/9

-2x - 7 = -11/3

Combine all the like terms -

-2x = -11/3 + 7

-2x = (-11 + 21)/3

-2x = 10/3

Multiply (-2) in the denominator -

x = 10/(3 × -2)

x = 10/-6

x = -5/3

Therefore, the values of x and y are x = -5/3 and y = 11/9.

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The worm is travelling at a speed of 0.0018 meter per second.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Total distance travelled by the worm = 1.3 m

The worm starts moving at 9 hour 12 minutes and reaches the end of the path at 9 hour 24 minutes.

Total time taken = 24 - 12 = 12 minutes

Speed = Distance / Time

Speed = 1.3 / 12

           = 0.1083 meter / minute

           = 0.0018 meter per second

Hence speed of the worm is 0.0018 meter per second.

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Answer:

2s + 4

Step-by-step explanation:

use the distributive property:

1/4 (8z + 16)

2s + 4

Done!

There is no solution to the system. This means that the equation 2 = -2 in the system is inconsistent.

What is a system of equations?

A system of equations is a collection of two or more equations that are solved simultaneously. Each equation in the system represents a constraint or condition that must be satisfied, and a solution to the system is a set of values that satisfies all of the equations in the system simultaneously.

If you attempt to solve a system of equations and you get a statement like 2 = -2, it means that the equations in the system are inconsistent. An inconsistent system of equations has no solution because there is no set of values that can simultaneously satisfy all of the equations.

Hence, as these equations are contradictory, there is no solution to the system. This means that the equations in the system are inconsistent.

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Answer:

22.8

Step-by-step explanation:

I just did the math :)

The mean of a given set of data is 22.8.

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

{21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}

Here, n = 21

⇒ ∑x = Sum of Observations

⇒ ∑x = 478.8

Mean = ∑x/n

Mean = 478.8/21

Mean = 22.8

Hence, the mean of the given data is 22.8.

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The formula for the nth term in the geometric sequence is,

T (n) = 7 × ( 3ⁿ⁻¹)

Here, the given geometric sequence is 7, 21, 63, 189.

This is an example of a finite sequence,

Hence, To find the common ratio, you divide the second term by the first term. So

r = 21/7

r = 3

And, First term is, a = 7

Hence, for the nth term put the values in the formula, .

T (n) = arⁿ⁻¹

= 7(3)ⁿ⁻¹

= 7 × ( 3ⁿ⁻¹ ).

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Answer:

The value of 7a - 9 is - 3

Step-by-step explanation:

Step 1:

7a + 9 = 15

Step 2:

7a = 15 - 9

Step 3:

7a = 6

Step 4:

a = 6/7

Step 5:

7 ( 6/7 ) - 9

Step 6:

6 - 9

Answer:

- 3

Hope This Helps :)

Answer:

-3

a = 6/7

Step-by-step explanation:

The answer is -3 because:

1) First, we have to isolate a

2) In order to isolate a, we have to -9 from 15 and +9

New equation: 7a = 6

3) We know that 6 + 9 equals to 15

4) In order to get 6 as a, we know that a has to equal a fraction

5) Then, we know that 7 x 6 equals 42 and 42/7 is equal to 6

6) Therefore, a is equal to 6/7

7) Now, 7 times 6 is 42. Then, 42 divided by 7 is 6.

8) Finally, 6 - 9 equals -3

Hope this helps!