William's bank account balances after weekly deposits are showing in the following table.
0
1
2.
3
4
Weeks
Total Balance
(5)
30
44
58
72
86
After 10 weeks, how much money would William have in his bank account? Show your work.
O A. 170
B. 140
C. 165
D. 314

There are 104,400 5-digit numbers including leading zeros with exactly one 8 and no digit appearing exactly three times.

To find the number of 5-digit numbers including leading zeros with exactly one 8 and no digit appearing exactly three times, we can use the following approach:

1. Choose the position for the digit 8: There are 5 positions in a 5-digit number, so we can choose one of them in 5 ways.

2. Choose the digits for the remaining 4 positions: We need to choose digits from 0 to 9 such that no digit appears exactly three times. Let's consider the following cases:

Case 1: No digit appears more than twice. In this case, we can choose the digits for the remaining 4 positions in 9*8*7*6 ways (since we cannot use the digit 8 and we need to choose 4 distinct digits from the remaining 9 digits).

Case 2: One digit appears exactly twice. In this case, we need to choose the digit that appears twice and the other two digits. We can do this in 9*8*3 ways (since we have 9 choices for the digit that appears twice, 8 choices for its position, and 3 choices for the other two digits).

Case 3: Two digits appear exactly twice. In this case, we need to choose the two digits that appear twice and their positions. We can do this in 9*8*3*2 ways (since we have 9 choices for the first digit that appears twice, 8 choices for its position, 3 choices for the second digit that appears twice, and 2 choices for its position).

3. Multiply the results from step 1 and step 2: We need to multiply the number of choices for the position of the digit 8 (5) with the number of choices for the remaining 4 positions (from step 2). Therefore, the total number of 5-digit numbers including leading zeros with exactly one 8 and no digit appearing exactly three times is:

5*(9*8*7*6 + 9*8*3 + 9*8*3*2) = 104,400

Therefore, there are 104,400 5-digit numbers including leading zeros with exactly one 8 and no digit appearing exactly three times.

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To make the first element in row 2 equal to 0, we need to perform a row operation on the matrix.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Matrices are commonly used in mathematics, computer programming, and other fields to represent and manipulate data, equations, and transformations.

One way to do this is to add 2 times the first row to the second row:

4  -4   0  10

0  -6   2 -16

-1  -4   7  -6

The resulting matrix has a 0 in the first element of the second row. Note that we added 2 times the first row to the second row because we want to eliminate the first element of the second row by making it zero.

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Answer: add row 1 and row 2 and insert the result in row two.

Step-by-step explanation:

did it on edge

True, a data warehouse allows users to specify certain dimensions or characteristics.

In a data warehouse, dimensions represent the different aspects or characteristics by which data can be categorized or analyzed. These dimensions can include various attributes or variables that provide context and organize the data.

Users of a data warehouse can specify these dimensions based on their analytical needs and the nature of the data being stored.

For example, in a sales data warehouse, common dimensions may include product, customer, time, and location.

By specifying these dimensions, users can slice and dice the data based on different criteria and gain insights from various perspectives.

By defining dimensions, users can navigate through the data warehouse and perform multidimensional analysis using tools such as OLAP (Online Analytical Processing).

Dimensions provide a structure for organizing and querying data in a way that facilitates analysis and reporting.

In summary, a data warehouse allows users to specify dimensions or characteristics that help organize and analyze the data stored in the warehouse. These dimensions provide a framework for users to navigate and explore the data from different perspectives.

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Answer:

Step-by-step explanation:

I, II and III only are all valid reasons why it is sometimes more appropriate to collect data from a sample than to conduct a census of the population

The reasons why it is sometimes more appropriate to collect data from a sample than to conduct a census of the population are:

I. a census may be too expensive

II. a census may be too time-consuming

III. it may be impossible to sample every member in a population

Therefore, the correct answer is: I, II and III only.

A census involves collecting data from every member of a population, while a sample involves collecting data from a subset of the population. There are situations where it is not practical or feasible to conduct a census and a sample may be more appropriate.

Reason I: Conducting a census may be too expensive. A census requires significant resources to collect data from every member of a population, which may not be feasible due to budget constraints.

Reason II: Conducting a census may be too time-consuming. Collecting data from every member of a population can be a time-consuming process, which may not be practical or feasible in some situations.

Reason III: It may be impossible to sample every member in a population. In some cases, the population may be too large or dispersed, making it difficult to reach every member of the population. In other cases, there may be logistical or ethical constraints that make it impossible to sample every member of the population.

Therefore, collecting data from a sample can be a more practical and feasible alternative to a census in some situations. A well-designed sample can provide accurate and reliable estimates of population characteristics while saving time and resources.

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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a0 is the regression term that describes the constant or intercept in the linear regression equation.

In a simple linear regression model, the equation takes the form of y = a0 + a1x + e1, where y is the dependent variable (or response variable), x is the independent variable (or predictor variable), a0 is the intercept or constant term, a1 is the coefficient of the independent variable, and e1 is the error term.

The intercept term, a0, represents the value of the dependent variable when the independent variable is zero. For example, in a linear regression model that predicts salary based on years of experience, the intercept would represent the starting salary for someone with zero years of experience. The intercept is an important component of the regression equation because it allows us to make predictions for values of x that are outside the range of our observed data.

The coefficient, a1, represents the change in the dependent variable for each one-unit increase in the independent variable. In the salary example, the coefficient would represent the average increase in salary for each additional year of experience.

Both the intercept and coefficient are estimated from the data using methods such as least squares regression. Once these values are estimated, we can use them to make predictions for new values of x.

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Answer:

31 Supreme tires were sold.

Step-by-step explanation:

Cost of one Supreme tire = $45

Cost of one Prestige tire = $56

Total sales = $2008

Let x represent quantity of supreme tyre

Let y represent quantity of Prestige tyre

So, the equation will be:

\(45x+56y=2008\)

11 Prestige tires were sold, write and solve a linear equation to find the number of Supreme tires sold.

So, we are given y= 11 and we need to find value of x using above equation

\(45x+56y=2008\\45x+56(11)=2008\\45x+616=2008\\45x=2008-616\\45x=1392\\x=\frac{1392}{45}\\x=30.933\\ x\approx31\)

So, 31 Supreme tires were sold.

Answer:

Number 4 is H

Number 5 is B

Step-by-step explanation:

A translation is a congruent transformation along a vector such that each segment joining a point and its image has the same length as the vector and is parallel to the vector.

A translation is a type of congruent transformation in geometry that involves shifting an object or shape along a specific vector.

In a translation, every point and its corresponding image are connected by a segment, which has the same length as the vector and is parallel to the vector. The term you are looking for to fill the blank is "image."

During a translation, the object or shape maintains its size, shape, and orientation, ensuring that it remains congruent to its original form. This transformation moves the object without changing any of its properties, except for its position in the coordinate plane. Since the segment joining each point and its image is parallel to the vector and has the same length, this ensures that the entire shape is shifted uniformly along the vector's direction.

In summary, a translation is a congruent transformation that shifts an object or shape along a vector, preserving its size, shape, and orientation. The segments connecting each point and its image have the same length as the vector and are parallel to it, ensuring a uniform shift in the object's position.

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Answer:

18/12

Step-by-step explanation:

Answer:

5/3 or u could make it 5/4 since only 2 n 4 can have 2468 u cant put 4 back

Step-by-step explanation:

Answer:

12$

Step-by-step explanation:

20 - 8 = $12

Answer:

12

Step-by-step explanation:

20 - 8 = 12 left over......

The rate at which the angle between the ladder and the wall changes is 30√75 ft/sec and the rate at which the base of the ladder slides away from the wall at this instant is 13.2 ft/sec.

When a 10-foot ladder slides down a wall at a rate of 3 ft/sec, the rate at which the (acute) angle between the ladder and the wall changes when the foot of the ladder is 5 feet from the wall and the rate at which the base of the ladder slides away from the wall are required to be calculated.

Let's mark the length of the ladder as ‘l’ and the distance of the ladder from the wall as ‘x’.If the ladder has slid x feet down the wall at time t, the triangle formed by the ladder, the wall, and the ground is such that l² = x² + y². The angle is θ, then sin θ = y/l, cos θ = x/l, and tan θ = y/x.

Thus, we have the following equation:(l)² = (x)² + (y)²Differentiate with respect to t.2(l)(dl/dt) = 2(x)(dx/dt) + 2(y)(dy/dt)

Solve for dy/dt when x = 5ft and dx/dt = 3 ft/sec.dy/dt = (l/x)(dx/dt)√[l² - x²]dy/dt = (10/5)(3)√[10² - 5²]dy/dt = 30√75 ft/sec

Now, let's differentiate the equation l² = x² + y² with respect to time:2l(dl/dt) = 2x(dx/dt) + 2y(dy/dt)

We have already calculated the value of dy/dt from the previous step. Substituting, l = 10, x = 5 and dx/dt = 3, we get: 20(dl/dt) = 10(3) + 2(5)(30√75)dl/dt = 13.2 ft/sec

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The original price is $720.33 .

What is original price ?

Convert the percent discount to a decimal by dividing by 100% . Step 2: Set up the equation P=(1−d)x P = ( 1 − d ) x to find the original price of the item where P is the sale price, d is the discount as a decimal, and x is the original price of the item.You need to be aware of the selling price as well as the discount % in order to determine the item's original cost. The calculations contain a straightforward method that divides the sale price by the percentage-based result of 1 minus the discount. To determine an item's original or list price, use this formula.

SInce $194.49, is what is owed after the discount you will want to subtract 73 from 100 to get the percent of what is owed. Then you will set it up like a percent equation. 27/100 = 194.49/X where X = the original price. You will then multiply 194.49 by 100 and divide that answer by 1.9449. This equals $720.33 as the original price.

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Answer:

11

Step-by-step explanation:

30-2(7+2)-1

30-2(9)-1

30-18-1

12-1

11

Answer: Thy answer to ye question is 11

Step-by-step explanation:

Answer:

the city at a lower altitude would have a colder climate

Answer:

4x+90°=110°[ vertically opposite angle]

4x=110°-90°

4x=20

X=20÷4

X=5

Answer:

2

Step-by-step explanation:

given the difference of twice a number and one is three to find "number" let the number be x

2x - 1 =3

2x = 4

x= 2

thus the number is 2

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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It will take approximately 3.77 hours for the iceberg and the ship to collide, rounded to the nearest minute, this is 3 hours and 46 minutes.

Velocity is a term used in physics to describe the rate at which an object changes its position. It is a vector quantity, meaning that it has both a magnitude (numerical value) and a direction.

Let's call the distance between the iceberg and the ship "d" and let's use the formula:

distance = rate × time

We know that the iceberg is moving at a rate of 1 mile per hour and the ship is moving at a rate of 12 miles per hour. Since they are moving towards each other, their effective rate of approach is the sum of their individual rates, which is 1 + 12 = 13 miles per hour.

We want to find out how long it will take for the two to collide, so let's use "t" to represent the time (in hours) it will take for the collision to occur.

Using the formula distance = rate × time, we can write:

d = 13t

We also know that the initial distance between the iceberg and the ship is 98 miles. Therefore, we can write:

d = 98 - 1t - 12t

The first term, 98, represents the initial distance between the iceberg and the ship. The second term, 1t, represents the distance that the iceberg moves in "t" hours, and the third term, 12t, represents the distance that the ship moves in "t" hours.

Now we can equate the two expressions for "d" and solve for "t":

13t = 98 - 1t - 12t

13t + 12t + 1t = 98

26t = 98

t = 3.77 hours

Therefore, it will take approximately 3.77 hours for the iceberg and the ship to collide, rounded to the nearest minute, this is 3 hours and 46 minutes.

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Answer:

4 pack priced at £2.04 is the better pack

Step-by-step explanation:

2.04/4=£0.51 per roll

4.68/9=£0.52 per roll

I think the 9pack is better

I hope it was helpful to you

Answer:

2.25

Step-by-step explanation:

I hope this helps!

The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).

It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):

1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).

To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.

2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.

In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.

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Answer:

  k = (p -2)/5

Step-by-step explanation:

You want to make k the subject of the formula p = 5k +2.

The operations done to k are ...

To solve for k, we undo these operations in reverse order.

Subtract 2 to undo the addition.

  p = 5k +2 . . . . . . . . . . given

  p -2 = 5k +2 -2 . . . . . . subtract 2 from both sides

  p -2 = 5k . . . . . . . . . simplify

Divide by 5 to undo the multiplication.

  (p -2)/5 = (5k)/5 . . . . . divide both sides by 2

  (p -2)/5 = k . . . . . . . . simplify

Writing this with k as the subject, we have ...

  k = (p -2)/5

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Null hypothesis: Proportion of residents favoring annexation <= 72%. Alternative hypothesis: Proportion of residents favoring annexation > 72%

The null hypothesis is that the proportion of residents who favor annexation is equal to or less than 72%. The alternative hypothesis is that the proportion of residents who favor annexation is greater than 72%.

To determine if there is sufficient evidence to support the mayor's claim, a hypothesis test should be performed. A common approach is to use a one-sample proportion test. This test compares the proportion of residents who favor annexation in a sample to the hypothesized proportion of 0.72.

Assuming a significance level of 0.05, if the p-value is less than 0.05, then there is sufficient evidence to reject the null hypothesis and conclude that the proportion of residents who favor annexation is greater than 72%.

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Answer:no

Step-by-step explanation:

if it was then it supposed to be like 4*20=5*15 which is not right equation

For the letter a it is x = 24

For the letter b it is x = 20

Answer:

a) x/3 - 2 = 6. First add two to both sides: x/3 = 8. Then multiply both sides by 3: x = 24

b) x/5 + 1 = 5. First subtract 1 from both sides: x/5 = 4. Then multiply both sides by 5: x = 20

Hope this helps!

Answer:

24.59 m/s

Step-by-step explanation:

Average speed(m/s) = distance travelled(m) / time taken(s)

Distance = 220 miles

220 miles = 354,056 meters

Time taken = 4 hours

4 hours = 14,400 seconds

Average speed = distance travelled / time taken

= 354,056 / 14,400

= 24.59 meter/seconds

= 24.59 m/s

Answer:

its C

Step-by-step explanation: