Ella is collecting data about the numbers of hours teenagers spend on computers each day. Which values represent the best scale for a box plot of the numbers of hours teenagers spend on computers each day?

−
5
,

0
,

5
,

10
,

15
−
5
,

0
,

5
,

10
,

15

0
,

4
,

8
,

12
,

16
0
,

4
,

8
,

12
,

16

0
,

12
,

24
,

36
,

48
0
,

12
,

24
,

36
,

48

5
,

10
,

15
,

20
,

25
5
,

10
,

15
,

20
,

25

Answer:

98

Step-by-step explanation:

f(x) = 10x² + 8

= 10(-3)² + 8

= 10 (9) + 8

= 90 + 8

= 98

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Answer:

6. 5

7. 8

Step-by-step explanation:

Answer:

no robot can travel 27 feet in 3 minutes

Step-by-step explanation:

SOLUTION:

Step 1:

In this question, we are given that:

A fair sortition trial is carried out, and one of the candidates is assigned the number 32,041.

If each digit can be chosen from 0-5, and if each of the possible sequences is assigned to a candidate, how many candidates are there?

Step 2:

We can use the fundamental counting theory to determine the number of possible ways in which a 5-digit can be assigned from zero to five.

In this case, the first to fifth digit can be assigned from zero to five.

Hence the sequence is :

CONCLUSION:

The final answer is :

Answer:

-4

Step-by-step explanation:

plug in 3 for x

2(3)-10

6-10

=-4

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Pakiso's fixed cost per day is R300, which covers the expense of hiring the bakkie.

To calculate Pakiso's fixed cost per day, we need to consider the expenses that do not vary with the number of loads of refuse taken to the dumping site. In this case, the fixed cost is the cost of hiring the bakkie, which is R300 per day.

Pakiso hires a bakkie for R300 per day, regardless of how many loads of refuse they take to the dumping site or how long they work. This cost remains constant, making it a fixed cost for Pakiso. Whether they take one load or multiple loads, the bakkie cost remains the same each day.

It's important to note that the cost of hiring Lilo is not part of the fixed cost since it varies with the number of loads taken to the dumping site. The variable cost associated with Lilo is R7 per load of refuse.

In summary, Pakiso's fixed cost per day is R300, which covers the expense of hiring the bakkie.

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Answer:

a = -4; b = 5; c = -2

Step-by-step explanation:

quadratic equation: ax^2 + bx + c

a will allways have x squared

b will always have an x

c will always be alone, as it is a constant

Given the system of equations:

x = 8y + 17 → (1)

x = 5y + 6 →(2)

by substitution by x from the first equation in the second equation

Solve the equation for y

Combine the like terms

Substitute with y in the first equation to find x

So, the solution of the system as order pair :

In an isosceles triangle, the two https://brainly.com/question/28412104 form the two equal angles opposite those sides.

An isosceles triangle is a type of triangle that has two sides of equal length. The two congruent sides are referred to as the legs of the triangle, while the remaining side is known as the base. The key property of an isosceles triangle is that the angles opposite the congruent sides are also equal. This means that the triangle has two equal angles formed by the congruent sides and a third angle formed by the base.

To understand why the congruent sides form equal angles, consider the following: When two sides of a triangle are equal in length, it implies that the opposite angles they form are also equal. This is known as the Isosceles Triangle Theorem. In an isosceles triangle, the two congruent sides are equal in length, which means the angles opposite those sides must also be equal. Therefore, the two congruent sides of an isosceles triangle form the two equal angles opposite them.

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Here is the completed table:

Time (x)    Distance from Surt (y)

0                           230

1                           185

2                           140

3                           95

4                                50

5                            5

To complete the table for John's drive, we need to substitute different values of x into the equation y = 230 - 45x to calculate the corresponding distances from Surt (y) at different times (x).

In this table, the time (x) represents the number of hours John has been driving, and the distance from Surt (y) represents the corresponding distance he has covered from Surt in miles.

For example, when John starts driving (x = 0), he is 230 miles away from Surt. As time progresses, the distance from Surt decreases by 45 miles for every hour of driving, according to the equation y = 230 - 45x.

By substituting different values of x into the equation, we can determine the distance from Surt at various points in John's drive.

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Answer:

a=-2

Step-by-step explanation:

The solution will be as follows;

And finally, the value of a is -2.

Answer:

Step-by-step explanation:

The measurement of the angle 7 is,

\(5+6+7=180\\ 5+90+7=180\\58+90+7=180\\ 7=180-90-58\\ 7=32\)

Therefore, the desired angle is 32.

Center point of dilation is a fixed point in a plane about which all the points of the figure expanded or contract. And scale factor of a dilation is the ratio of new formed image to the old given image.

Explanation:

Therefore, the center of the dilation can be find using the translation and scale factor can be calculated using the ratio of the new to the old images.

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The given statement: "the statement is not a​ tautology, since it is false for all combinations of truth values of the components" is not a tautology because it is false for all combinations of truth values of the components.

A tautology is a compound statement that is always true, no matter what the truth values of its individual components are. On the other hand, a contradiction is a compound statement that is always false, no matter what the truth values of its individual components are.

The statement "the statement is not a​ tautology, since it is false for all combinations of truth values of the components" does not qualify to be a tautology because it is false for all combinations of truth values of the components.

It is a contradiction. The negation of a contradiction is always a tautology. Therefore, the negation of the given statement will be a tautology. Therefore, the statement "the statement is a​ tautology, since it is true for all combinations of truth values of the components" is the tautology.

The statement "the statement is not a tautology, since there is at least one combination of truth values for its components where the statement is false" is a contradiction as well because it is false for all combinations of truth values of the components. Hence, the correct answer is option A.

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Answer:

? = 5 cm

Step-by-step explanation:

∠ E and ∠ D are congruent, thus the triangle is isosceles and the 2 sides will be congruent, that is

? = 5 cm

Answer:

2 1/8

Step-by-step explanation:

In order to subtract two fractions with unlike denominators, you have to bring them to THE SAME denominator. You can do that by multiplying both the numerator and denominator of 3/4 by 2 (so it can have a denominator of 8) to get 6/8. Then, simply add 1 3/8 and 6/8 by combining the numerators and keeping the denominators the same. You should get 1 9/8 which is, as a mixed number, 2 1/8

Crickets must have been introduced at the lambda = 2 is 20.

Given:

you observe 40 crickets on an island after crickets were first introduced 2 years ago ,  at the lambda = 2 how many number of crickets must have been introduced .

Let x be the crickets must have to been introduced.

Number of crickets = observed crickets / lambda value

we know that,

Observed crickets = 40

lambda value = 2

substitute these values

Number of crickets = observed crickets / lambda value

= 40 / 2

= 20 crickets.

Therefore Crickets must have been introduced at the lambda = 2 is 20.

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Full question:

you observe 40 crickets on an island after crickets were first introduced 2 years ago. at lambda = 2 how many crickets must have been introduced?

Answer:

Solution:

f(5)=2×5+7

=10+7

=17

Answer:

\(f(5)=17\)

Step-by-step explanation:

\(f(5)=2(5)+7\\f(5)=10+7\\f(5)=17\)

Answer:

5:20

Step-by-step explanation:

In order to tell the time on an analog clock, we start by looking at the hour (shorter) hand.  On this clock, it is pointing between the 5 and the 6, so we know it's a little after 5 o'clock.

Next, we look at the minute hand.  Each number on the clock represents five minutes past the hour and the minute hand is pointing at the 4, so we know it is 4 x 5 or 20 minutes past the hour.

Therefore, we know that the time is 20 minutes after 5, or 5:20.

The time shown on the clock, obtained by reading the clock is; 5 : 20

Reading an analog clock involves looking at the positions of the clock's hands to determine the time.

The long hand, which is the minute hand of the clock is pointing at the number 4, which indicates that the time is 20 minutes past the hour, because each number on the clock face represents 5 minutes; (4 × 5 = 20). The direction the short hand, which is the hour hand is past the number 5, it indicates that the time is past 5 o'clock.

The position of the hour hand between 5 and 6 indicates that the time shown on the clock is 20 minutes past 5; 5 : 20

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We are told that the expression

represents the total cost of the transaction. The problem tells us that the customer purchased a single pair of yeans and an indeterminate amount of shirts. We also know that each shirt costs the same amount.

Since we know that they purchased various shirts at the same price, the total cost of the shirts is an unknown number times the price of the shirt. In the expression given, the only multiplication is 20*x, so 20x must be the total cost of the shirts.

Since they only bought a pair of jeans, and the only remaing part of the expression is 60, 60 must be the cost of the jeans.

To convert 5.87 x 10^5 centigrams (cg) to kilograms (kg), we need to use the conversion factor of 1 kg = 100,000 cg. Therefore, 5.87 x 10^5 centigrams is equal to 5.87 kilograms.

First, we'll divide 5.87 x 10^5 cg by 100,000 cg/kg to convert centigrams to kilograms:

5.87 x 10^5 cg ÷ 100,000 cg/kg

Next, we'll simplify the expression:

5.87 ÷ 1 x 10^5 ÷ 10^5

Dividing 5.87 by 1 gives us:

5.87 x 10^5 ÷ 10^5

To divide numbers in scientific notation, we subtract the exponents:

5.87 x (10^5 ÷ 10^5)

10^5 ÷ 10^5 equals 1, so the expression simplifies to: 5.87 x 1

Finally, we multiply 5.87 by 1 to get the result: 5.87 kg

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5777 divided by 160 is 36.10625.

the data is given in the the question is as follows:

5777 divided by 16 , that means,  5777 / 160 = 36.10625

                  36.10625

          160| 5777

                 -  5760

                          170

                      -   160

                             1000

                           - 960

                                 400

                             -    320

                                      800

                                   -   800

                                        000

Division is just opposite of the multiplication . There are four basic operations in mathematics and division is from one the basic operations . the four operation are addition, subtraction , multiplication , division.  Division is used when we split the large groups into the smaller one , so that each group will have equal items. there are different types of method used for division. the above one is the chunking method or in simple word repeated subtraction method.

Thus, 5777 divided by 160 is 36.10625.

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Answer:

1x8 =8

Step-by-step explanation:

1x8=8

An expression is defined as a set of numbers, variables, and mathematical operations. An expression that is equal to 8 when simplified is |-8|.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations or expressions with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.

A few of the expressions that are equal to 8 when simplified are,

Hence, an expression that is equal to 8 when simplified is |-8|.

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The slope 'm' indicates the rate of change of 'y' with respect to 'x', while the y-intercept 'b' represents the value of 'y' when 'x' is zero.

A linear model looks like the equation y = mx + b, where 'y' is the dependent variable, 'x' is the independent variable, 'm' is the slope of the line, and 'b' is the y-intercept. In this model, the relationship between the variables is represented by a straight line.

The slope 'm' indicates the rate of change of 'y' with respect to 'x', while the y-intercept 'b' represents the value of 'y' when 'x' is zero.

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