There are 30 chocolates in a box, all identically shaped. There are 5 filled with coconut and 10 filled with caramel. The other 15 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. What is the probability of selecting a caramel chocolate both times? Are the events of selecting a caramel chocolate on your first pick and selecting a caramel chocolate on your second pick indipendent or dependent? Round to three decimal places

The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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An area of the square field : 7056 m²

⇒ 1 side of the square field :

\(side^2=7056=>side=\sqrt{7056}=84 m\)

The perimeter of the field :

\(P = 4.side=4.84=336m\)

Ok done. Thank to me :>

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

a) It is not possible for everyone in a group of 5 friends to have exactly two friends.

b) It is possible for everyone in a group of 5 friends to have exactly three friends.

(a) It is not possible for everyone in a group of 5 friends to have exactly two friends. To see why, suppose that each person has exactly two friends. This means that each person is connected to two other people in the group. If we start at any person in the group, we can follow their connections to the other people in the group.

Since each person has only two friends, the connections will form a chain or loop. However, if we keep following the connections, we will eventually return to the original person, forming a loop. This means that the group must be connected in a loop or chain, but this is impossible with 5 people.

(b) It is possible for everyone in a group of 5 friends to have exactly three friends. One example is the complete graph on 5 vertices, denoted K5, where every vertex is connected to every other vertex. In this graph, every person has exactly 4 friends, since they are connected to all of the other people in the group.

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Answer:

1. van de vacaciones

2.comora los boletos

3.agente de viajes

4.hacer las maletas

5.toman un taxi

6.facturar el equipaje

7.pasar por seguridad

8.el reclamo de equipaje

hope this helps u

Answer:

x < 5

Step-by-step explanation:

3x < 15

divide by 3 on both sides

x < 5

Answer:

-8

Step-by-step explanation:

;

you put in 2*-2+3*-3+5 and the answer is-8

Answer:

CBE=40=ABD

x+90+40=180

add

x+130=180

x=50

Hope This Helps!!!

This statement is true, if 2 is an eigenvalue of A, A - 21 is not invertible.

If 2 is an eigenvalue of matrix A, then A - 21 is indeed not invertible. An eigenvalue represents a scalar value that characterizes certain properties of a matrix. The eigenvalues of a matrix A can be obtained by solving the characteristic equation |A - λI| = 0, where λ is the eigenvalue and I is the identity matrix. In this case, if 2 is an eigenvalue of A, it means that A - 2I has a determinant of 0. Therefore, if we subtract 21 from A, we get (A - 21) - 2I, which still has a determinant of 0. Consequently, A - 21 is not invertible.

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Answer:

8*8

Step-by-step explanation:

Hre we can divide the time worked (hrs) by the amount made!

Generally I wouldn't do this for the whole table, but considering its not very big we will!

$16/2hrs =8

$24/3hrs = 8

$40/5hrs = 8

From this we can deduce that every hour, 8 dollars are earned.

The equation would be x=8h

but for this 8dollars * 8 hrs is right!

Answer:

Therefore, 22/2 simplified to lowest  form is 11/1.

Step-by-step explanation:

Answer:

rst = ust + usr

6x+12 = 78 + 3x - 12

3x = 54

3x+66 = 54 + 66

3x +66= 120

thus rst = 120

The measure of angle ∠RST in degree is 156°

The measure of angle is the amount of rotation performed by initial side to get the terminal side. A complete angle is divided by 360 equal parts we get 360 number of small angles. Each of these small angle has measure 1 degree.

Given that, ∠RSU=78° , ∠UST=(3x - 11)° and ∠RST=(6x + 12)°

Now, ∠RSU+UST=∠RST

Putting the values of ∠RST and ∠UST we get,

78 + (3x - 12) = 6x + 12

78 + 3x - 12 - 6x - 12 = 0

54 - 3x = 0

3x = 54

So, x = 54/3=18

Therefore, (6x + 12)°=(6×18 + 12)°

=(144 + 12)°

=156°

Hence the measure of angle ∠RST is 156°

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Answer:

240 cm2

Step-by-step explanation:

we get:(x + 2) × x × (x - 1) = 8x³ + x² - 2x - 8 = 0Thus, the equation to model the volume of the compartment is 8x³ + x² - 2x - 8 = 0.

Given that

the compartment must be 2 meters longer than it is wide and its depth must be 1 meter less than its width. Let's assume the width of the compartment to be x meters.

Then, the length of the compartment would be (x + 2) meters as it is 2 meters longer than its width. And the depth of the compartment would be (x - 1) meters as its depth must be 1 meter less than its width.

Now, the volume of the compartment would be given by; V = l × w × d V = (x + 2) × x × (x - 1)As given, the volume of the compartment must be 8 cubic meters.

Hence, we get:(x + 2) × x × (x - 1) = 8x³ + x² - 2x - 8 = 0Thus, the equation to model the volume of the compartment is 8x³ + x² - 2x - 8 = 0.

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Answer:

13

Step-by-step explanation:

2(x – 3) + 3y

Let x=5 and y = 3

2(5 – 3) + 3*3

Parentheses first

2(2) +3*3

Multiply

4+9

Add

13

Yes, the data give convincing evidence to support Phoebe's hunch. As the result of the test is a p-value that is 0.1 of less than 0.05.

The p-value is the probability of obtaining a result as extreme or more extreme given that the null hypothesis is true. The p-value is calculated by comparing the test statistic to the probability distribution under the null hypothesis.

The ratio of seniors bringing a bag lunch= 78/104 or 0.75,

while the ratio of sophomores bringing a bag lunch= 52/80 or 0.65.

This indicates that the proportion of seniors bringing a bag lunch is higher than the proportion of sophomores bringing a bag lunch.

Further, the difference between the proportions is

0.75-0.65 = 0.1,

which is a large enough difference to be considered significant.

The result of the test is a p-value of less than 0.05, which is statistically significant and indicates that the difference in the proportions is due to the different ages, and not due to chance.

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True/False Data view is a page that displays the actual data in the SPSS program,

showing each variable in columns and each case or observation in rows.

It provides a tabular representation of the data, where values can be entered, edited, and viewed.

Hist(fit) is not used to add regression lines to scatter plots in SPSS. Instead, scatter plots in SPSS can be enhanced with regression lines using the "Add Fit Line at Subgroup" option.

Variables in SPSS can be coded and assigned specific values using the "Recode into Different Variables" function.

R is indeed a language and environment for statistical computing and graphics, widely used for data analysis.

An SS file is not saved from the Edit list in SPSS, but rather it is a file format used in a different context, such as for audio or video data.

Variable view in SPSS software is a data management page that allows users to define variables, specify variable properties (such as labels and measurement levels), and view and modify variable attributes.

It is primarily used for setting up the structure and properties of variables before entering or analyzing data.

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Answer:

Change the equation to slope intercept form.

(y= 1.2x + 2.2) or (b= 1.2a + 2.2)

Then shade above the line.

Step-by-step explanation:

Let's say A is "x", and B is "y."

Change the equation to slope intercept form.

120x + 100y = 220.

(Move 120x to the other side of the equation by subtracting 120x from both sides)

100y= -120x +220

(Divide 100y by 100 to remove it from Y, divide the entire right side of the equation by 100)

y= -120x/100 + 220/100

y <= 1.2x + 2.2 -> (b= 1.2a + 2.2)

The new equation is much easier to graph.

THEN, Plot the new equation, since the sign is <= (greater than or equal to)

Make a solid line.

Then shade above the line whatever color necessary, since the sign is also "greater than"

Answer:

See below

Step-by-step explanation:

Given inequality

This is a linear inequality, to graph first find intercepts:

a- intercept, when b = 0

b- intercept, when a = 0

We got two points:

Now graph this with following steps

The graph is attached

Answer: 4135 over 1 or 8270 over 2

Step-by-step explanation:

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

5.6, -5, -5.8

Step-by-step explanation:

negatives are smaller than positive numbers

Answer

Greatest: 5.6

Least:-5.8

Answer: 5.6,-5,-5.8

Step-by-step explanation:

(All work shown on paper)

(Take a look at the screenshot with the number line first, then take a look at the negative section. Good luck on your studies!)

The number of ways in which we can make a sitting arrangements to meet the requirement is 1440.

= 5!⋅4⋅3

= 120⋅12

= 1440

Combinations are ways to choose things from a collection where the order of the choices is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

It is easy to count the number of combinations in smaller cases, but the likelihood of a set of combinations is also higher in cases with many groups of components or sets. As a result, a formula has been developed to determine the number of items that could be chosen which is nCr.

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the unit price is $3 per pound, the correct option is the second one.

The unit price for the oranges is just the price for one pound of oranges.

Here we know that the price of 4 lb of oranges is $12, with that we want to get the cost of a single lb of oranges, so we can write:

4lb = $12

If we divide both sides by 4, then we get:

4lb/4 = $12/4

1lb = $3

This means that the price of 1 pound of oranges is $3, then the unit price is $3 per pound, the correct option is the second one.

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area of the whole figure

= (x + 1)(2x + 3)

= x(2x + 3) + 1(2x + 3)

= 2 {x}^{2} + 3x + 2x + 3

= (2x)^(2} + 5x + 3

area of the unshaded region

= x(2x)

= 2x²

area of the shaded region

= 2x² + 5x + 3 - 2x²

= (2x² - 2x² ) + 5x + 3

= 5x+ 3

THEREFORE,

THE AREA OF THE FRAME IS C. 5x + 3

Answer:

i'd say D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The larger the variance, the more the data are spread out from the mean. This statement is true.

Variance is a statistical measure that quantifies how much the data values are spread out or dispersed from the mean (average) of the dataset. Specifically, it is the average of the squared differences between each data point and the mean.

A larger variance means that the data values are more spread out from the mean, because the squared differences between the data points and the mean are larger on average. This indicates that there is greater variability or diversity in the dataset, and the values are more widely distributed.

Conversely, a smaller variance means that the data values are closer together and closer to the mean. This indicates that there is less variability or diversity in the dataset, and the values are more tightly clustered around the mean.

So, in summary, a larger variance indicates that the data values are more spread out from the mean, while a smaller variance indicates that the data values are closer together and closer to the mean.

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Answer:

9q + 18

Step-by-step explanation:

Heres each step by step process to simplify:

\(9(q+2)\)

\(9\times q +9\times 2\)

\(9q+18\)

Answer:

2

64

16000

3

5(I'm not 100 percent sure its 5 )

48

Step-by-step explanation:

hope this helps! :)

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation: