Solve the question: 4/5 (b-1)-1/b=1

A city with m districts has m robberies in a particular week.

Assume the robberies are located randomly, with all possibilities for which robbery occurred where equally likely. What is the probability that exactly one district had no robberies?The number of ways in which m robberies can be distributed in m districts is (m + m − 1 C m−1 ) by stars and bars principle, where m + m − 1 is the total number of objects, namely, m robberies and m − 1 bars separating the m districts.

Thus, there are (2m − 1 C m−1 ) ways to distribute the m robberies .The number of ways in which exactly one district has no robberies is m( m−1 C m−2 ). There are m ways to choose the district with no robberies, and m − 1 ways to choose one of the remaining districts to have two robberies.

The remaining m − 2 robberies can be distributed arbitrarily among the remaining m − 2 districts. Thus, there are m( m−1 C m−2 ) ways to distribute the m robberies with exactly one district having no robberies.

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Bro,

Where is the Homework itself just add the jpg, png, and give will do it...

Answer: 11,500 grams

Step-by-step explanation: 920/8=115 115*100= 11,500

Answer:

c) 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 34°

Adjacent Leg = x

Hypotenuse = 4.8

Step 2: Solve for x

In order to calculate the total number of iterations of a nested loop, you need to add the number of iterations of all the loops. This is because the iterations of each loop are cumulative and dependent on each other. Therefore, adding the number of iterations of all the loops will give you the total number of iterations of the nested loop.

In a nested loop, the inner loop will always complete its iteration each time the outer loop runs once. Thus, the total number of iterations of a nested loop is the sum of the iterations of all the loops. For example, if the outer loop has 5 iterations and the inner loop has 3 iterations, then the total number of iterations of the nested loop would be 5 x 3 = 15. Similarly, if there are more than two loops nested together, the total number of iterations of the nested loop would be the sum of the iterations of all the loops.

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Answer:

d. 4.41

Step-by-step explanation:

cos(51)=x/7

cos(51)*7=x

x=4.405242 round up to 4.41

The detail from the text that best supports the thesis is that over 3 million people visit Zion National Park every year, and the National Park Service works to accommodate them.

The thesis statement is not explicitly mentioned in the given text, but it can be inferred that the thesis is related to Zion National Park and its popularity.

The detail stating that over 3 million people visit Zion National Park every year supports this thesis by indicating the significant number of visitors the park attracts.

The fact that the National Park Service works to accommodate these visitors further strengthens the thesis.

This detail implies that the park's popularity requires the park service to take measures to ensure visitors have a positive experience and can enjoy the park's attractions.

By including this information, the text emphasizes the high visitation rate of Zion National Park, highlighting its appeal and significance as a tourist destination.

It suggests that the park's features, such as lush vegetation, deep canyons, towering sandstone cliffs, and a restless river, contribute to its popularity and the need for accommodations to manage the large number of visitors.

Overall, the detail about the park's annual visitation and the efforts made by the National Park Service to accommodate visitors provides strong support for the thesis statement related to Zion National Park's popularity and the measures taken to cater to the influx of tourists.

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The value of x is 120° .

Given,

In triangle HGF,

HF and FG and are equal in length and ∠G is 60° .

Now,

If the sides are equal there angles will be equal.

So,

FG and FH are equal thus angle ∠H will be equal to 60° .

Sum of all the interior angles of triangle is 180° . Thus ∠F will be equal to 60° .

Now,

∠H and x° will form linear pair.

∠H + x°  = 180°

x = 120° .

Hence all the angles of the triangle are obtained.

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The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

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The equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is y = (-5/3)x + 5.

To find the equation of a line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5), we can use the slope-intercept form of a linear equation, which is y = mx + b. Given the point (3, 0) on the x-axis, we know that when x = 3, y = 0. This gives us one point on the line, and we can use it to calculate the slope (m).

Using the slope formula: m = (y2 - y1) / (x2 - x1)

Substituting the values (0 - 5) / (3 - 0) = -5 / 3

So, the slope (m) is -5/3. Now, we can substitute the slope and one of the given points (0, 5) into the slope-intercept form (y = mx + b) to find the y-intercept (b).

Using the point (0, 5):

5 = (-5/3) * 0 + b

5 = b

The y-intercept (b) is 5. Therefore, the equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is:

y = (-5/3)x + 5

To sketch the diagram, plot the points (3, 0) and (0, 5) on the x-y plane and draw a straight line passing through these two points. This line represents the graph of the equation y = (-5/3)x + 5.

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Answer: I used the Pythagorean theorem and got 6.24, but if I was supposed to use another method, just let me know.

The formula is a^2+b^2=c^2

a=5

c=8

b=?

5^2+b^2=8^2

25+b^2=64

b^2=39

b=6.24,

(If it doesn't work, put x=6.24, x=-6.24. It can be both technically, but most teachers ask only for the first one. )

Evaluating all possible values of a variable in a model is called a sensitivity analysis.

A sensitivity analysis is a technique used to assess the impact of changes in the values of input variables on the output or outcome of a model or system. It involves systematically varying the values of the variables within a defined range and observing the corresponding changes in the model's output.

The purpose of a sensitivity analysis is to understand how sensitive the model is to changes in the input variables and to identify which variables have the most significant influence on the model's results.

During a sensitivity analysis, different scenarios are created by varying one or more input variables while keeping others constant. By examining the resulting changes in the model's output, analysts can gain insights into the relationships and dependencies between the variables and assess the robustness of the model's predictions or decisions.

Sensitivity analysis helps in understanding the potential risks, uncertainties, and limitations associated with the model, and can aid in decision-making and improving the model's performance by identifying critical variables that need to be carefully monitored or controlled.

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Answer:

Step-by-step explanation:

1,)

3x+y=4 <-Equation 1

2x-y=6 <-Equation 2

Step 1 Eliminating Y Multiply negative both side

-[3x +y = 4 ] -

-3x-y = -4 <-Equation 3

Equation 2 to Equation 3

2x-y=6

-

-3x-y = -4

= 5x = 10

x =2

Substituting X to Equation 1

3x+y=4

3(2) + y =4

6 + y = 4

y = -2

Therefore x =2 and y = -2

Answer:

"What are the advantages and disadvantages of each alternative?" would be an appropriate question to evaluate alternatives in the third stage of the rational model of decision making.In the third stage, decision makers generate and evaluate alternative courses of action. They weigh the pros and cons of each alternative, considering factors such as feasibility, risks, costs, benefits, and consequences. By asking about the advantages and disadvantages of each alternative, decision makers can systematically compare and contrast their options, identify potential trade-offs, and select the best alternative based on their criteria and preferences.

The correct answer is option (a) n < 27. By dividing both sides of the inequality by -3, we get n > -27.

To solve the inequality -3n < 81, we divide both sides by -3. Remember that when dividing by a negative number, the direction of the inequality sign changes. Dividing both sides by -3 gives us n > -27. So, the correct answer is option (d) n > -27.

The reasoning behind this is that dividing by -3 reverses the inequality sign, which means that the less than ("<") sign becomes a greater than (">") sign.

Option (a) n < 27 is incorrect because dividing by -3 changes the direction of the inequality. Option (b) is stated to be wrong. Option (c) n = 27 is incorrect because the original inequality is strict ("<") and not an equality ("=").

Therefore, By dividing both sides of -3n < 81 by -3, we get n > -27. Therefore, the correct answer is option (a) n < 27.

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Answer:

A

Step-by-step explanation:

According to the given question.

Total number of shirts, n = 12

Number of shirts to be selected, r = 3

As we know, the total number of ways of selection of r objects from n objects at a time without replacement is given by

C(n, r) = n!/r!(n - r)!

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Mean of country A is $29600 and median $29000. Mean of country B is $49800 and median is $29000. Country B has greater income inequality. So option B is the correct answer.

Mean of incomes in country A = (9000+ 21000+ 29000 + 39000+ 50000)/5   =  $29600

Median income of country A = (5+1)/2 th term = 3rd term = $29000

Mean to median ratio = 29600/ 26000= 1.02

Mean income of country B = ( 9000+ 21000+ 29000+ 39000+ 151000)/5 = $ 49800

Median income = (n+1)/2 th term = (5+1)/2 = 3rd term = 29000

Mean to median ratio of country B = 49800/29000 = 1.71

Since mean and median are closer to each other, standard deviation is less. The mean to median ratio is greater for country B. So country B has greater income inequality.

If the income inequality has been increasing, then the mean-median ratio will increase, due to the extreme values, mean will increase. So option B is the correct answer.

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Answer:

A. y = –0.2x + 2

Step-by-step explanation:

It is a negative slope and intersects at (0, 2).

Answer: A. y = –0.2x + 2

Step-by-step explanation:

     We see that the answer options are in slope-intercept form, so we will find the slope and the y-intercept of this line to write our equation.

     The line intercepts the y-axis at (0, 2), so the ending of our equation will be "+ 2" for the intercept.

     Next, we will find the slope. We see that for everyone one unit moved downward, there is 5 units right. This becomes a slope of -1/5, which is the same as -0.2.

     Using these details, the correct answer is;

            A. y = –0.2x + 2

Answer:

900 ft

Step-by-step explanation:

first you plug in the x for -5 because it said "5 minutes before"

second you do the math

y = -20(-5) + 800

y= -00+ 800

y = 900

Actual distance = distance on map x the scale:

3 inches x 15 miles per inch = 45 actual miles.

Here is an equation that could represent Ted's total September costs:

C = 3600 + 1.50x, where C is the total September cost and x is the number of 16-ounce bags of coffee sold.

This equation takes into account the monthly fixed costs of $3600, as well as the cost of the coffee that Ted sells at $1.50 per 16-ounce bag. If you know the number of bags of coffee that Ted sold in September, you can use this equation to calculate his total September costs. In general, cost refers to the amount of money that is required in order to obtain something. For example, the cost of a product or service is the amount of money that you need to pay in order to purchase or receive it. The cost of something can also refer to the resources that are required to obtain or produce it, such as time, effort, or materials.

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Answer:

it's already simplified

Step-by-step explanation:

Answer:

Not enough info

Step-by-step explanation:

They don't tell us how many peaches she picked

(A) If a pilot study indicates that the percentage is 34%, a sample size of 428 students should be obtained.

(B) The percentage of full-time college students with credit-card debt of $2000 or more, a sample size should be obtained that is within 2.5 percentage points with 94% confidence.

(1) In order to determine the appropriate sample size for estimating the percentage of full-time college students with credit-card debt of $2000 or more, two factors must be taken into consideration: the desired level of precision and the desired level of confidence.

In this case, the administrator wishes to have an estimate within 2.5 percentage points with 94% confidence. This means that the margin of error should not exceed 2.5 percentage points and the administrator should be 94% confident that the true percentage of college students with credit-card debt of $2000 or more falls within the estimated range.

(2) If a pilot study indicates that the percentage is 34%, a sample size of 428 students should be obtained using a margin of error formula for proportions. The sample size formula takes into account the population size, which is assumed to be infinite in this case due to the large number of full-time college students in the country.

If no prior estimates are used, a conservative estimate of 50% should be used for the proportion of college students with credit-card debt of $2000 or more. In this case, a sample size of 600 students should be obtained using the same margin of error formula.

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3( x - 1 )

Hope this helps.

Answer:

3(x - 3)

Step-by-step explanation:

3-2(x+1) + (5x-4)

(3 - 2x - 2) + (5x - 4) <-- you don't have to put parentheses, but it helps us see the problem better

1 - 2x + 5x - 4

3x - 3 --> 3(x - 3)

Answer:

Step-by-step explanation:

Change a=2b to y=2x.

a/y = # of shirts Wanda has
b/x = # of shirts Will has.

Will has double the amount Wanda has each time.

Answer: y=2

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is slope and b is y-intercept. To find slope, we use the formula \(m=\frac{y_2-y_1}{x_2-x_1}\). We use the points given to plug into the formula.

\(m=\frac{2-2}{-65-(-\frac{5}{6}) } =\frac{0}{-\frac{385}{6} } =0\)

Now that we know the slope is 0, we know that the y-intercept is also 2.

Actually, we did not have to do this because we know that the line is horizontal based on the properties. So we know the equation should be y=b. Notice the y-coordinate is 2 for both points.

Therefore, the equation would be y=2.

Answer:

Slope = 4 and y-intercept = 1

Step-by-step explanation:

→ To find the slope, look at the value before the x

4

→ To find the y-intercept, make x = 0 then the answer is the y-intercept

1

Answer:

X=-1/4 or y=1

Step-by-step explanation:

0=4x+1

-4x=1x=-1/4

y=4×0+1

y=1