3 5/6 to decimal then division
in long division
​

Step-by-step explanation:

Given

slope (m) = - 2/ 3

Y-intercept (c) = - 4

Now writing in Slope intercept form

y = mx + c

y =( - 2/3) x - 4

Hope it will help :)

Answer:

6 < x

Step-by-step explanation:

4(3x + 2) <5(3x - 2)

Distribute

12x +8 < 15x -10

Subtract 12 x from each side

12x +8-12x < 15x-12x -10

8 < 3x - 10

Add 10 to each side

8+10 < 3x-10+10

18 < 3x

Divide by 3

18/3 < 3x/3

6 < x

Step-by-step explanation:

this is the hardest I think

Answer:

1.5 pounds of oranges cost $0.81 more than 1.5 pounds of apples

Step-by-step explanation:

1.5 pounds of apples = 1.5 × $1.30 = $1.95

1.5 pounds oforanges = 1.5 × $1.84 = $2.76

$2.76 - $1.95 = $0.81

Answer:

A terminating decimal ends while a non-terminating decimals repeats itself.

Step-by-step explanation:

2.50-terminating decimal

2.3333...-non-terminating decimal

Answer:

good answer thats was a very helpful answer

The option C represent the correct inequalities.

What is inequality ?

Inequality refers to the condition where there is an unequal distribution of resources, opportunities, and benefits among individuals or groups in a society. This can be based on various factors, such as income, wealth, race, gender, ethnicity, education, and social class.

Inequality can take many forms, ranging from economic inequality where some individuals or groups have much more wealth or income than others, to social inequality where some groups face discrimination or exclusion based on their identity.

Inequality can have negative consequences for individuals and society as a whole, including reduced social mobility, increased poverty, and social unrest. Addressing inequality often involves implementing policies and initiatives that aim to level the playing field and provide equal opportunities for all individuals, regardless of their background or circumstances.

Inequality can be represented using various mathematical symbols and expressions, depending on the type of inequality being discussed. Here are some examples:

For a simple inequality comparing two numbers, we use the following symbols:

Greater than: >

Less than: <

Greater than or equal to: ≥

Less than or equal to: ≤

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Answer:

the answer is one and only 28

The area of the composite figure is equal to 100.3 square units.

In this problem we find the representation of a composite figure, formed by a rectangle and two semicircles, whose area formulas are, respectively:

Rectangle

A = w · h

Where:

Semicircle

A = 0.5π · r²

Where r is the radius of the semicircle.

If we know w = 12, h = 6 and r = 3, then the area of the composite figure is:

A = π · 3² + 12 · 6

A = 9π + 72

A = 100.3

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Complete question is;

Michael is making scale drawings of rectangular rooms using a scale of 1 inch: 11/5 feet. He wants to use paper that has a width of 8 1/2 inches and a length of 11 inches for the drawings. Determine whether the scale drawings for each of these rooms will fit on one piece of paper.

Choose Yes or No for each set of dimensions.

a. 16 feet by 16 feet Yes/ No

b. 10 feet by 15 feet Yes/ No

c. 15 feet by 20 feet Yes/ No

d. 12 feet by 16 feet Yes/ No

Answer:

A) Yes

B) Yes

C) Yes

D) Yes

Step-by-step explanation:

We are told that 1 inch: 11/5 feet

This means in decimal form, 1 Inch represents 2.2 feet

A) 16 ft width gives: 16/2.2 inches = 7.27 inches

Also, 16ft length gives; 16/2.2 inches = 7.27 inches

Length and width are both less than the ones given in the question respectively. Thus, it's sufficient.

B) 10 ft width gives; 10/2.2 inches = 4.55 inches

15 ft length gives; 15/2.2 inches = 6.82 inches

Length and width are both less than the ones given in the question respectively. Thus, it's sufficient.

C) 15 ft width gives; 15/2.2 inches = 6.82 inches

20 ft width gives; 20/2.2 inches = 9.09 inches

Length and width are both less than the ones given in the question respectively. Thus, it's sufficient.

D) 12 ft width gives: 12/2.2 inches = 5.45 inches

16ft length gives; 16/2.2 inches = 7.27 inches

Length and width are both less than the ones given in the question respectively. Thus, it's sufficient.

Thus, all the dimensions are sufficient to fit on one piece of paper

Answer:45

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here ya go!

The current location of G is (-4,3)

If it was translated to the left by four units, that would be an extra -4

so our new coordinates are (-8,3)

Now if we translate it up 3 units, thats adding 3

so our new coordinates are

(-8,6)

Hope this helps!^^

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Order we can find the median is 56.

What is the mathematical mode?

A) 65 + 50+ 44+ 86 + 90 + 50+ 35 + 110 + 70 + 50 + 35 + 60+ 56/13

= 61.62

B) Arrange the number from small to large

35, 3,44,50,50,50,56,60,65,70,86,90,110

from this order we can find the median is 56.

c) we found that 50 was the most frequent acurrrence .

So, mode is 50.

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The function that represents the number of patients she sees is; y = 9/4x + 5 and number of patients after 2 hours is 9 patients

We are given;

Number of patients the dental hygeinist cleans before lunch = 5

Average number that she cleans after lunch = 9 patients in 4 hours

Thus, number of patients per hour is 9/4

The formula for slope intercept form is;

y = mx + c

Thus, equation to represent the situation in the question is;

y = 9/4x + 5

At 2 hours after lunch, number of patients is;

y = 9/4(2) + 5

y = 9.5

Approximately 9 patients

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We can use the analysis of variance procedure to test hypotheses about three or more groups and their mean differences. ANOVA is a powerful tool for testing hypotheses about differences among group means, variability within and between groups, and interaction effects in multifactor studies.

The procedure compares the variability between the groups to the variability within the groups, and determines whether the observed differences in means are statistically significant. This can be used to test hypotheses about the effect of a treatment, the comparison of multiple groups, or the relationship between an independent variable and a dependent variable. Overall, the analysis of variance procedure provides a powerful tool for hypothesis testing in research, and can be used to draw conclusions about the population from a sample of data. The analysis of variance (ANOVA) procedure is a statistical method used to test hypotheses about:

Differences among group means: ANOVA helps to determine if there are significant differences among three or more group means, enabling researchers to compare multiple groups simultaneously. Variability within and between groups: ANOVA compares the variability of data points within each group to the variability between groups. This analysis helps identify if the variation is due to factors of interest or random chance. Interaction effects: In a multifactor ANOVA, the procedure can test for interaction effects between independent variables. This helps to understand if the effect of one factor on the dependent variable is dependent on the levels of another factor.

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Answer:

a) 3x=18

x=18/3

x=6

b) 2x=9

x=9/2

or 4.5

c) x/5=7

x=7×5

x=35

d) x/2=6.5

x=6.5×2

x=13

Answer:

Step-by-step explanation:

a) 3x = 18, value of x?

→ 3x = 18

→ x = 18/3

→ [ x = 6 ]

Thus, value of x is 6.

b) 2x = 9, value of x?

→ 2x = 9

→ [ x = 9/2 ]

Thus, value of x is 9/2.

c) x/5 = 7, value of x?

→ x/5 = 7

→ x = 7 × 5

→ [ x = 35 ]

Thus, value of x is 35.

d) x/2 = 6.5, value of x?

→ x/2 = 6.5

→ x = 6.5 × 2

→ [ x = 13 ]

Thus, value of x is 13.

Answer:

the number is 1

Step-by-step explanation:

1*1=1

1+5= 5

i think i dont know :)

Using a unifying unit for comparison, the line segment B is longer than line segment A

The use of a unit depends on the context. For instance, the area of a room is measured in meters, yet a pencil's length and thickness are measured in centimeters and millimeters, respectively.

In the given problem, we have to convert both units to the same units in order to have a unifying unit of comparison.

To do this, we will simply convert the inches to m.

6.3 inches = 0.16m

This shows that line segment A is 0.16m and line segment B is 2m.

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Using the Bisector Theorem, the length of DE is 4y + 13 if we bisect (Line Over DE) at point R, DR = 2y + 9, and RE = 3y – 1.

Since l bisects DE at point R, we can use the segment bisector theorem, which states that the ratio of the lengths of the two segments is equal to the ratio of the lengths of the two other segments:

DR/RE = DE/ER

Substituting DR = 2y + 9 and RE = 3y - 1, we get:

(2y + 9)/(3y - 1) = DE/ER

Since R is the midpoint of DE, we have ER = DR = 2y + 9. Substituting this into the equation above, we get:

(2y + 9)/(3y - 1) = DE/(2y + 9)

Cross-multiplying, we get:

DE = (2y + 9)²/(3y - 1)

Expanding the numerator, we get:

DE = (4y² + 36y + 81)/(3y - 1)

Simplifying the expression, we get:

DE = 4y + 13

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The variable the researchers intentionally varied in the experiment is time and the units of the variable is mins.

The independent variable is the variable that the researcher varies or changes or manipulates in the course of the experiment. The independent variable usually have a direct effect on the dependent variable.

With the passage of time, the level of concentration increases. This means that time is the independent variable and concentration is the dependent variable.

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Answer:

Step-by-step explanation:

b, d, and f are the midpoints of each side and g is the centroid. find the following lengths.​

The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Note that y = f(x)

Rearrange making y the subject

9x + 3y = 12 ( subtract 9x from both sides )

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4 , that is

f(x) = - 3x + 4

Answer:

i think its c

Step-by-step explanation:

Answer:

The equation in slope-intercept form is y = 8x

The slope represents the unit cost

A party for 40 people would cost $320

Step-by-step explanation:

To find the total project completion time, we need to add the time required for each activity. Since the activities must be carried out sequentially, the total project completion time will be the sum of the times required for each activity.

The time required for activity a is uniformly distributed in the interval [1,5], so we can assume that the average time required for activity a is (1+5)/2 = 3.

The time required for activity b is uniformly distributed in the interval [2,3], so we can assume that the average time required for activity b is (2+3)/2 = 2.5.

The time required for activity c is uniformly distributed in the interval [3,6], so we can assume that the average time required for activity c is (3+6)/2 = 4.5.

Therefore, the total project completion time is:

Total project completion time = time for activity a + time for activity b + time for activity c
= 3 + 2.5 + 4.5
= 10

To run 1000 simulation trials in Excel, we can use the RAND function to generate random numbers between 0 and 1. We can then multiply these random numbers by the range of each activity to get a simulated completion time for each activity. We can then add up the simulated completion times for each trial to get a simulated total project completion time.

Here are the steps to run 1000 simulation trials in Excel:

1. In cell A1, enter "Trial" as the column header.

2. In cell B1, enter "Time for Activity A" as the column header.

3. In cell C1, enter "Time for Activity B" as the column header.

4. In cell D1, enter "Time for Activity C" as the column header.

5. In cell E1, enter "Total Project Completion Time" as the column header.

6. In cell A2, enter "1" as the first trial number.

7. In cell B2, enter the formula "=RAND()*(5-1)+1" to generate a random number between 1 and 5 for activity a.

8. In cell C2, enter the formula "=RAND()*(3-2)+2" to generate a random number between 2 and 3 for activity b.

9. In cell D2, enter the formula "=RAND()*(6-3)+3" to generate a random number between 3 and 6 for activity c.

10. In cell E2, enter the formula "=B2+C2+D2" to calculate the total project completion time for trial 1.

11. Select cells B2:E2 and drag the fill handle down to fill in the formulas for the remaining trials.

12. After filling in the formulas for 1000 trials, you can use Excel's AVERAGE function to find the average total project completion time across all trials.

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Answer:

about 3.09

Step-by-step explanation:

A = l  x w

A = 13/7 x 7/6

A = 1.857 x 1.666

A = 3.09

Hope it helps!

To maximize the probability of preventing an attack, the defender should choose {p_i} proportional to {q_i}. The attacker should choose {q_i} uniformly to maximize the probability of a successful attack. In a negotiation, both parties should consider the rewards and costs ({R_A, R_B}, {C_A, C_B}) to determine their strategies.


1) The probability of a successful defense is the sum of the product of the probabilities of both parties choosing the same site: ∑(p_i * q_i).

2) To maximize this probability, the defender should choose {p_i} proportional to {q_i}.

3) Knowing the defender's strategy, the attacker should choose {q_i} uniformly to maximize the probability of a successful attack.

4) Re-doing 2.1, 2.2, and 2.3 from the defender's perspective, the same strategies are derived, indicating a balanced game.

5) The expected cost of an attack is the sum of the product of the probabilities and costs: ∑(p_i * q_i * C_i).

6) To minimize this expected cost, the defender should choose {p_i} proportional to {q_i * C_i}.

7) The attacker should choose {q_i} proportional to {C_i} to maximize the expected cost of an attack, knowing their strategy will leak.

8) Re-doing 2.5, 2.6, and 2.7 from the defender's perspective yields the same strategies, indicating a balanced game.

In the bonus scenario, both parties should consider the rewards and costs ({R_A, R_B}, {C_A, C_B}) to determine their optimal strategies. Negotiations may lead to adjustments in these strategies to minimize overall costs and maximize rewards.

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There are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

In order to determine which treatment effects differ significantly from others, we need to make pairwise comparisons between all possible pairs of treatment groups. Let's consider an example with four treatment groups labeled A, B, C, and D.

To determine which treatment effects differ significantly from others, we need to compare the mean scores of each treatment group with the mean scores of every other treatment group. This means we need to make the following pairwise comparisons:

A vs B

A vs C

A vs D

B vs C

B vs D

C vs D

Therefore, there are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

It's worth noting that when making multiple pairwise comparisons, there is an increased risk of making a Type I error (i.e., rejecting the null hypothesis when it is actually true) due to the multiple testing problem. To control for this, researchers may choose to adjust the significance level or use methods such as the Bonferroni correction to adjust the p-values of the individual tests.

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