Kai took five tests this semester. His scores are listed below.

92, 88, 90, 96, 84

What is the mean absolute deviation of Kai's test scores?

Answer:

(2x+1)(x+1)

Step-by-step explanation:

got it right on my quiz and also there is 2 reds= 2x on the bottom and 1 red=x and the yellow is the +1

The product represented by these algebra tiles is (2x+1) (x+1).

Suppose the blue tiles are x.

Suppose  the red tiles are 1.

Therefore,

length = 2 blue tiles + 1 red tile

= 2x+1

Breadth = 1 blue tile + 1 red tile

= x+1

Therefore, product represented by these algebra tiles is (2x+1) (x+1).

To learn more about algebra tiles, refer:

https://brainly.com/question/4407619

#SPJ2

The magnification n can be found by using the formula n = -s'/s, where s' is the image distance and s is the object distance. The value of s' obtained from this new equation can be found by rearranging the formula to s' = -ns.

To find the magnification n, we can use the formula n = -s'/s, where s' is the image distance and s is the object distance. In this case, the object is placed 45.0 centimeters from the mirror, so s = 45.0 cm. The magnification can be found by calculating the ratio of the image distance to the object distance. By rearranging the formula, we get n = -s'/s.

To find the value of s' obtained from this new equation, we can rearrange the formula n = -s'/s to solve for s'. This gives us s' = -ns. By substituting the value of n calculated earlier, we can find the value of s'. The negative sign indicates that the image is inverted.

Using the given values, we can now calculate the magnification and the value of s'. Plugging in s = 45.0 cm, we find that s' = -ns = -(2/3)(45.0 cm) = -30.0 cm. This means that the image is located 30.0 centimeters from the mirror and is inverted compared to the object.

To know more about Image visit.

https://brainly.com/question/30725545

#SPJ11

Answer:

the answer is 1/50

Step-by-step explanation:

A random number generator is used to select an integer from 1 to 50. Since random number generator generates any number randomly, all the numbers from 1 to 50

Probability of receiving a hand with exactly three suits \(= (4 * (13^3)) / 2,598,960\)

What is Combinatorics?

Combinatorics is a branch of mathematics that deals with counting, arranging, and organizing objects or elements. It involves the study of combinations, permutations, and other related concepts. Combinatorics is used to solve problems related to counting the number of possible outcomes or arrangements in various scenarios, such as selecting items from a set, arranging objects in a specific order, or forming groups with specific properties. It has applications in various fields, including probability, statistics, computer science, and optimization.

To calculate the probability of receiving a hand with exactly three suits when dealt 5 cards from a well-shuffled deck of cards, we can use combinatorial principles.

There are a total of 4 suits in a standard deck of cards: hearts, diamonds, clubs, and spades. We need to calculate the probability of having exactly three of these suits in a 5-card hand.

First, let's calculate the number of favorable outcomes, which is the number of ways to choose 3 out of 4 suits and then select one card from each of these suits.

Number of ways to choose 3 suits out of 4: C(4, 3) = 4

Number of ways to choose 1 card from each of the 3 suits\(: C(13, 1) * C(13, 1) * C(13, 1) = 13^3\)

Therefore, the number of favorable outcomes is \(4 * (13^3).\)

Next, let's calculate the number of possible outcomes, which is the total number of 5-card hands that can be dealt from the deck of 52 cards:

Number of possible outcomes: C(52, 5) = 52! / (5! * (52-5)!) = 2,598,960

Finally, we can calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes:

Probability of receiving a hand with exactly three suits =\((4 * (13^3)) / 2,598,960\)

This value can be simplified and expressed as a decimal or a percentage depending on the desired format.

To know more about Combinatorics visit:;

https://brainly.com/question/28065038

#SPJ4

The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

Learn more on the equation of a circle here: https://brainly.com/question/12182614

#SPJ1

Hi! I'm happy to help!

To solve this, we need to first find how much the car value decreased.

The car started at $32,000, but dropped down to $6,300. To find the value drop, we use subtraction.

$32,000-$6300

$25,700

Now we know that his car value dropped $25,700 in value over the course of 3 years. Now we need to figure out how much value it dropped per year. To do this, we split the money into 3 years.

$25,700÷3

$8,566.6666666...

We can round this to $8,567

On average, his car lost $8,567 in value, per year. Now, we need to find how much value his car had after one year in order to get our integer. (a fraction of 2 whole numbers)

$32,000-$8,567

$23,433

Now that we know what his can was worth after one year, we can say that his can was worth $23,433 out of the $32,000 originally was worth. Out of can mean division, or fraction, and because these are both whole numbers, and integer. This is our integer:

\(\frac{23433}{32000}\)

Since we cannot simplify it, this is our integer that represents the average decrease in value per year.

I hope this was helpful, keep learning! :D

Answer:

a: The experimental probability that Mrs Patel will have to stop at this set of lights tomorrow is 32/50 = 0.64.

b: The experimental probability that she will not have to stop at the lights next Wednesday is 1 - 0.64 = 0.36.

Step-by-step explanation:

The probabilities of an event occurring based on the outcomes of an experiment is known as the experimental probability.

The experiment in this scenario involves Mrs. Patel driving herself to work every day. She stopped 32 times at this set of traffic signals during the course of the experiment's 50 working days. The experimental likelihood that she will have to stop at this set of lights tomorrow is 0.64 based on these findings.

The experimental probability is usually more accurate than the theoretical probability because it is based on actual data. However, the experimental probability can be affected by chance.

To know more experimental probability click the link below:

https://brainly.com/question/17128444

The mathematical equation E(y) = 0 + 1x is known as the regression equation.

In the context of regression analysis, the regression equation represents the relationship between the independent variable (x) and the expected value of the dependent variable (y). The equation is written in the form of y = β0 + β1x, where β0 is the y-intercept and β1 is the slope of the regression line.

The regression equation is the fundamental equation used in regression analysis to model and predict the relationship between variables. It allows us to estimate the expected value of the dependent variable (y) based on the given independent variable (x) and the estimated coefficients (β0 and β1).

The coefficient β0 represents the value of y when x is equal to 0, and β1 represents the change in the expected value of y corresponding to a one-unit change in x. By estimating these coefficients from the data, we can determine the equation that best fits the observed relationship between the variables.

The regression equation is derived by minimizing the sum of squared residuals, which represents the discrepancy between the observed values of the dependent variable and the predicted values based on the regression line. The estimated coefficients are obtained through various regression techniques, such as ordinary least squares, which aim to find the line that minimizes the sum of squared residuals.

Once the regression equation is established, it can be used to make predictions and understand the relationship between the variables. By plugging in different values of x into the equation, we can estimate the corresponding expected values of y. This allows us to analyze the effect of the independent variable on the dependent variable and make predictions about the response variable based on different levels of the predictor variable.

In summary, the mathematical equation E(y) = 0 + 1x is known as the regression equation. It represents the relationship between the independent variable and the expected value of the dependent variable. By estimating the coefficients, the equation can be used to make predictions and analyze the relationship between the variables. The regression equation is a fundamental tool in regression analysis for understanding and modeling the relationship between variables.

To learn more about equation click here:

brainly.com/question/32304419

#SPJ11

Answer: 116.9

Step-by-step explanation: 9.1 x 6= 54.6. 8.9 x 7= 62.3. Add the values together and there you go

Answer:

What Can I Help With Sir?

There Is Nothing Posted!

Answer:

  ∠YXZ = 58°

Step-by-step explanation:

Use the angle sum theorem and the given relations.

  ∠WXY +∠WXV = ∠YXV

  ∠WXY +(11° +3∠WXY) = 139°

  4∠WXY = 128° . . . . . subtract 11°

  ∠WXY = 32° . . . . . . . divide by 4

Similarly, ...

  ∠WXY +∠YXZ = 90°

  ∠YXZ = 90° -∠WXY = 90° -32°

  ∠YXZ = 58°

Answer:

---------------------------

You need to find the value of f(x) when x = - 5 and x = 12.

For x = - 5 use the middle function:

For x = 12 use the bottom function:

The equation to represent the total cost of a paint job, y, as a function of the number of hours spent painting, x is y = 30x + 50.

What is an equation?

Two expressions are connected with an equal sign is known an equation.

Assume the linear equation will be y = mx + c.

Given that the cost to paint for 3 hours is $140.

Putting x = 3 and y = 140 in y = mx + c

140 = 3x + c .....(i)

Given that the cost to paint for 5 hours is $200.

Putting x = 5 and y = 200 in y = mx + c

200 = 5x + c .....(ii)

Subtract equation (i) from (ii)

5x + c - 3x - c =200 - 140

2x = 60

x = 30

Putting x = 30 in 140 = 3x + c

140 = 3×30 + c

140 = 90 + c

c = 50.

The equation is y = 30x + 50.

To learn more about linear equation, click on below equation:

https://brainly.com/question/14362668

#SPJ1

Answer:

Using the properties of parallel lines and transversals, we can find the measures of the missing angles:

m/1 = m/2 (alternate interior angles)

m/1 = m/5 + m/4 (interior angles on the same side of transversal c)

m/8 = m/5 (corresponding angles)

m/8 = m/7 + m/6 (interior angles on the same side of transversal d)

We can use these equations to solve for the missing angles:

m/4 = m/1 - m/5 = 123° - 10° = 113°

m/10 = m/1 - m/8 = 123° - 110° = 13°

m/16 = m/8 + m/7 + m/6 = 110° + m/7 + m/6

m/5 = m/8 = 110°

m/11 = m/1 - m/10 - m/5 = 123° - 13° - 110° = 0°

Note that m/11 is 0°, which means that line b and transversal c are parallel, and there is no intersection between them.

Answer:

38 degree difference

Step-by-step explanation:

24 + 15 =39

But they share the 0 degree spot so minus one.

39-1=38

Answer:

write the question correctly so I can help you

Step-by-step explanation:

The equation allows us to chart the tree's development over time and forecast its ultimate height.

A function is a mathematical formula that allots each input from one set, known as the domain, to precisely one output from another set, known as the range. A function can be used to model relationships between variables, answer issues, and make predictions. It can be represented by an equation, a graph, a table, or a verbal description. Numerous branches of mathematics, as well as disciplines like physics, engineering, finance, and computer science, make extensive use of functions. Typical instances of functions include: When a function is graphed, it always changes at the same rate and forms a straight line. They are frequently used to simulate relationships between two variables that are related linearly, such as time and location.

given

After d days, Alani created the following algorithm to measure the height of the banana tree:

h = d + 8

Since this function is linear, the banana tree's development will remain constant over time. According to the calculation, the tree starts out at a height of 8 units, and it increases by 1 unit per day after that.

We can enter a figure for d (the number of days) and solve for h using this equation (the height of the tree after d days). For instance, we can enter d = 10 into the calculation to get the height of the tree after 10 days:

h = 10 + 8

h = 18

Therefore, the altitude of the banana plant after 10 days would just be 18 units. This equation allows us to chart the tree's development over time and forecast its ultimate height.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

The solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2

To find the y-value of the solution to the system of equations, we can solve the system using any suitable method such as substitution or elimination.

Given system of equations:

3x + 5y = 1

7x + 4y = -13

Let's use the method of elimination to solve the system:

Multiply equation 1 by 4 and equation 2 by 5 to make the coefficients of y in both equations equal:

4(3x + 5y) = 4(1) --> 12x + 20y = 4

5(7x + 4y) = 5(-13) --> 35x + 20y = -65

Now, subtract equation 1 from equation 2 to eliminate the y term:

(35x + 20y) - (12x + 20y) = -65 - 4

35x - 12x = -69

23x = -69

x = -69/23

x = -3

Substitute the value of x into equation 1 to find y:

3(-3) + 5y = 1

-9 + 5y = 1

5y = 1 + 9

5y = 10

y = 10/5

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2.

For more details of equations :

https://brainly.com/question/21620502

#SPJ4

Answer:

\(\huge\boxed{\sf{Linear}}\)

Step-by-step explanation:

Hello.

This function is linear.

Remember, linear functions look like so:

y=mx+b (where m = slope & b = y-intercept)

Is y=3x+2 linear? Sure!

Compare:

y=mx+b

y=3x+2

They look the same, huh? The only difference is that the first one has variables, and the second one has numbers. ;)

Now, what about the graph?

All linear functions have a graph that looks like a straight line.

I hope it helps.

Have a great day.

\(\boxed{imperturbability}\)

Answer:

Step-by-step explanation:

This is about the rules of indices.

Multiplication of number with powers are addition for example:

a^n × a^m = a^n+m

So 3^7 × 3^4

3^7+4

3^11

Adiosss

By the way if I'm wrong let me know

Answer:

3^11 or 177147 or 1.77147x10^5

Step-by-step explanation:

7+4=11

Answer:

12.5% increase

Step-by-step explanation:

To find the percentage increase ( students joined)

Take the new number minus the original amount

There are 27 students in the class after 3 joined

27 - 24 = 3

Divide by the original amount

3/24 = 1/8 = .125 = 12.5%

Answer:

12.5%

Step-by-step explanation:

Intial number = 27

Final number = 24 + 3 = 27

Percentage change :-

Bristol's next minimum monthly payment is $171.97

How was the minimum monthly payment of $146.52 computed?

The minimum monthly payment of $146.52 was computed from the current statement balance as 3.5% of $4,186.19

minimum monthly payment=$4,186.19*3.5%

minimum monthly payment=$146.52

The balance at the beginning next month is current statement balance minus the minimum monthly payment plus purchases of $750.00 and the interest for the month

beginning balance next month before interest=($4,186.19-$146.52)+ $750.00

beginning balance next month before interest=$4,789.67

beginning balance next month after interest=$4,789.67*(1+30.99%/12)

beginning balance next month after interest=$4,913.36

Bristol's next minimum monthly payment=3.5%*$4,913.36

Bristol's next minimum monthly payment=$ 171.97

Find out more minimum monthly payment on:brainly.com/question/28105962

#SPJ1

The conversion 336g to m³ is impossible because they measure different units

From the question, we have the following parameters that can be used in our computation:

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

Read more about metric units at

https://brainly.com/question/229459

#SPJ1

Express the number of each result as a fraction of the total number of games played and multiply with 100.

The magnitude of the vector r is 16.4 m (approx). The magnitude of the new vector r' is 32.8 m (approx).

Part A:

The direction of the vector r is given by the angle θ that it makes with the x-axis as shown below.

As per the given data,x-component of vector r = r_x = 14 my-component of vector r = r_y = −8.5 m

Let's calculate the magnitude of the vector r first using the Pythagorean theorem as follows:

r = √(r_x² + r_y²)

r = √((14 m)² + (-8.5 m)²)

r = √(196 m² + 72.25 m²)

r = √(268.25 m²)

r = 16.4 m (approx)

Thus, the magnitude of the vector r is 16.4 m (approx).

Now, let's calculate the direction of the vector r, which is given by the angle θ as shown in the above diagram:

θ = tan⁻¹(r_y / r_x)

θ = tan⁻¹((-8.5 m) / (14 m))

θ = -30.1° (approx)

Thus, the direction of the vector r is -30.1° (approx).

Part B: We have already calculated the magnitude of the vector r in Part A as 16.4 m (approx).

Therefore, the magnitude of the vector r is 16.4 m (approx).

Part C:If r_x and r_y are doubled, then the new components of the vector r' are given by:

r'_x = 2

r_x = 2(14 m)

= 28 m and

r'_y = 2

r_y = 2(-8.5 m)

= -17 m.

Let's calculate the magnitude of the vector r' first using the Pythagorean theorem as follows:

r' = √(r'_x² + r'_y²)

r' = √((28 m)² + (-17 m)²)

r' = √(784 m² + 289 m²)

r' = √(1073 m²)

r' = 32.8 m (approx)

Thus, the magnitude of the new vector r' is 32.8 m (approx).

Now, let's calculate the direction of the vector r', which is given by the angle θ' as shown in the below diagram:

θ' = tan⁻¹(r'_y / r'_x)

θ' = tan⁻¹((-17 m) / (28 m))

θ' = -29.2° (approx)

Thus, the direction of the new vector r' is -29.2° (approx).

Part D:We have already calculated the magnitude of the new vector r' in Part C as 32.8 m (approx).

Therefore, the magnitude of the new vector r' is 32.8 m (approx).

To know more about vector visit:

https://brainly.com/question/24256726

#SPJ11

The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

Learn more about speed

 brainly.com/question/7359669

#SPJ4

Answer:

40°

100 + 80 = 180

60 + 80 = 140

140+ 40 = 180

Step-by-step explanation:

Answer:

m<C+m<D=100 degrees   m<D=40 degrees

Step-by-step explanation:

Answer:

The complete table is as follows:

x                     y

1                     7

4                    13          

5                    15

10                  25

Step-by-step explanation:

Given the function

\(y=2x+5\)

Given the table

x                      y

1                     blank

4                    blank            

5                    blank

10                  blank

Substitute x = 1 in the function

y = 2x+5

y = 2(1)+5 = 2+5 = 7

so, when x = 1, y = 7 i.e. (1, 7) is the point on the table

Substitute x = 4 in the function

y = 2x+5

y = 2(4)+5 = 8+5 = 13

so, when x = 4, y = 13 i.e. (4, 13) is the point on the table

Substitute x = 5 in the function

y = 2x+5

y = 2(5)+5 = 10+5 = 15

so, when x = 5, y = 15 i.e. (5, 15) is the point on the table

Substitute x = 10 in the function

y = 2x+5

y = 2(10)+5 = 20+5 = 25

so, when x = 10, y = 25 i.e. (10, 25) is the point on the table

Therefore, the complete table is as follows:

x                     y

1                     7

4                    13          

5                    15

10                  25

Answer:

\(y = 3x + 19\)

Step-by-step explanation:

\(7 = 3( - 4) + b\)

\(7 = - 12 + b\)

\(b = 19\)