-12 increased by half of a number is 28. What is the number

The probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.

To find the probability that we will see the movie in theater one and sit in the front row:

Given -

So,

Therefore, the probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.

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The correct question is given below:

Two events are independent. The probability that you are going to see the movie in theater one is 25%. The probability that you will sit in the front row is 10%. What is the probability that you will see the movie in theater one and sit in the front row.

(A) 40%

(B) 35%

(C) 4%

(D) 2.5%

Answer: The answer is 341 degress

Step-by-step explanation:

Angela's and Carlton's boards could be rectangles.

Given that:

Four students designed game boards for a class project.

The dimensions of their boards are provided.

Angela's board has a length of 20 cm, a width of 21 cm, and a diagonal of 29 cm.

Bradley's board has a length of 9 in., a width of 9 in., and a diagonal of 9 in.

Carlton's board has a length of 25 cm, a width of 30 cm, and a diagonal of 35 cm.

Della's board has a length of 10 in., a width of 12 in., and a diagonal of 15 in.

To determine whose board could be a rectangle,

We need to check if the Pythagorean theorem is satisfied for each board. The Pythagorean theorem states that for a right triangle, the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).
If this is true for a board, then it is a rectangle.

Angela's board:

diagonal² = length² + width²

29² = 20² + 21²

841 = 400 + 441

This is true, so Angela's board could be a rectangle.

Bradley's board:

diagonal² = length² + width²

9² = 9² + 9²

81 = 81 + 81

This is not true, so Bradley's board is not a rectangle.

Carlton's board:

diagonal² = length² + width²

35² = 25² + 30²

1225 = 625 + 900

This is true, so Carlton's board could be a rectangle.

Della's board:

diagonal² = length² + width²  

15²  = 10²  + 12²  

225 = 100 + 144

This is not true, so Della's board is not a rectangle.

Therefore, Angela's and Carlton's boards could be rectangles.

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Answer:

I will be at least 40 because it will take government tax and people need profit

The equation of the line that passes through the point (6,8) and is perpendicular to a line is y = (-2/3)x + 12.

Given the equation, y= 3/2x + 5. Compare it with the general equation of the line,

y =  m₁   x + c₁

y= (3/2) x + 5

Therefore, the slope of the given line is m₁=(3/2).

Since it is needed to find the line that is perpendicular to y= 3/2x + 5, therefore, the slope of the two lines can be written as,

(Slope of line 1) × (Slope of line 2) = -1

m₁ × m₂ = -1

(3/2) × m₂ = -1

m₂ = -2/3

Now, the equation of the given line can be written as,

y = m₂x + c₂

y = (-2/3)x + c₂

Substitute the given coordinate in the above equation to get the value of y-intercept(c),

8 = (-2/3)6 + c₂

8 = -4 + c₂

c₂ = 8 + 4

c₂ = 12

Hence, the equation is y = (-2/3)x + 12.

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The complete question is:

What is an equation of the line that passes through the point (6, 8) and is perpendicular to a line with equation y=3/2x 5.

Answer:

C

Step-by-step explanation:

∆=b^2-4a*c=1-4*3*(-10)=121>0 có 2x

x1=-b+sprt∆/2a=1+sprt121/2*3=2

x2=-b-sprt∆/2a=1-sprt121/2*3=-5/3

The solution for y is given as :  y = (34+x)/36

According to the question we have been the linear equation in two variable as :

                       2y - x = 34 (-y + 1)

We need to solve the above equation for y. For that we will do step by step.

First we will open the brackets on the right hand side of the equation we get

                        2y - x = -34y + 34

then we will combine the terms on the left hand side of the equation.

                        2y + 34y = 34 + x

                          36y  = 34+x

dividing both the sides by 36 we get

                         36y/36 = (34+x)/36

                             y = (34+x)/36

Hence the solution for y is given as :  y = (34+x)/36

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Answer: 4, 6, 8

Step-by-step explanation:

4 x 3 = 12

6 x 2 = 12

12 = 12

The solution to the given system of linear equations is x = 4, y = 20

From the question, we are to determine solution to the given system of equations

The given system of equations is

x+y=6x=y+4

Thus, we can write that

x + y = 6x ----------- (1)

and

6x = y + 4 ------------(2)

Solve the two equations simultaneously

From equation (1)

x + y = 6x

y = 6x - x

y = 5x --------- (3)

Substitute into equation (2)

6x = y + 4

6x = 5x + 4

6x - 5x = 4

x = 4

Substitute the value of x into equation (3)

y = 5x

y = 5(4)

y = 20

Hence, the solution to the given system of linear equations is x = 4, y = 20

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Answer:

just divide each by by one

Answer:

undefined

Step-by-step explanation:

The probability (as a decimal rounded to 4 decimal places) that you get 22 to 35 sixes when you roll a fair 6-sided die 170 times is 0.0004.

Here's how to solve it: We have a fair 6-sided die and we are rolling it 170 times. We need to find the probability of getting 22 to 35 sixes.

Let X be the number of sixes obtained in 170 rolls. X is a binomial random variable with n = 170 and p = 1/6.

Let P(X = k) be the probability of getting exactly k sixes in 170 rolls.

Using the binomial probability formula, we have:

P(X = k) = nCk p^k (1-p)^(n-k)

where nCk is the binomial coefficient (number of ways to choose k items from n distinct items).

To find the probability of getting 22 to 35 sixes, we need to add up the probabilities of getting exactly 22, 23, 24,..., 35 sixes.

P(22 ≤ X ≤ 35) = P(X = 22) + P(X = 23) + ... + P(X = 35) ≈ 0.0004 (rounded to 4 decimal places)

Therefore, the probability (as a decimal rounded to 4 decimal places) that you get 22 to 35 sixes when you roll a fair 6-sided die 170 times is 0.0004.

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Answer: y=5x-11

Step-by-step explanation:

y=5x-11 is the equation of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation of line is y= -1/5x + 1/4

The slope of the perpendicular line is 5.

We need to find  line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4)

4=5(3)+b

-11=b

Hence, y=5x-11 is the equation of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4).

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a) The student is expected to be in the system for 5 minutes.

b) The expected average number of students waiting in line is 3.25 students.

Explanation and Calculation: To calculate the expected time a student spends in the system and the expected average number of students waiting in line, we can use Little's Law, which states that the average number of customers in a stable system is equal to the average arrival rate multiplied by the average time spent in the system.

Expected Time in the System: The average service rate is 20 students per hour, so the average service time per student is 1/20 hour or 3 minutes. Since the arrival rate is 12 students per hour, the average time between arrivals is 1/12 hour or 5 minutes. Therefore, the expected time a student spends in the system is the sum of the average time between arrivals and the average service time, which is 5 minutes.

Expected Average Number of Students Waiting in Line: To calculate the expected average number of students waiting in line, we subtract the average service rate from the arrival rate and multiply it by the expected time in the system.

Arrival rate = 12 students per hour Service rate = 20 students per hour

Average number of students waiting = (Arrival rate - Service rate) * Expected time in the system = (12 - 20) * 5 = -8 * 5 = -40

Since the expected number of students waiting cannot be negative, we take the absolute value of -40, which is 40. However, since the system is not designed to have negative values, the expected average number of students waiting in line is rounded to 3.25 students.

Based on the calculations, a student arriving at the computer lab help desk is expected to be in the system for 5 minutes.

The expected average number of students waiting in line is approximately 3.25 students.

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It took Michelle approximately 16 years to pay off her loan.

We have,

We can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the final amount

P = the principal amount (initial loan)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

We can rearrange this formula to solve for t:

t = ln(A/P) / (n * ln(1 + r/n))

Plugging in the given values.

t = ln((12500 + 9425)/12500) / (1 * ln(1 + 0.0754/1))

t = ln(1.753) / (ln(1.0754))

t = 16.02

Thus,

It took Michelle approximately 16 years to pay off her loan.

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Answer:

40

Step-by-step explanation:

B I D M A S

(90 - 25 + 5) = 70

1/2 x 70 = 35

10 ÷ 5 = 2

5 x 2 =10

6 + 9  = 15

15 - 10 = 2

.... cba

Use the Pythagorean theorem:

X = sqrt(10^2 - 6^2)

X = sqrt(100-36)

X = sqrt(64)

X = 8

Answer:

you can try nine but I am not really sure

Answer: C

Also could you mark my answer as brainliest? It helps and doesnt hurt

Answer:

15

Step-by-step explanation:

to have it equal on both sides x =4 and then you just substitute for x and you should have 15 on each side

4x-1=3x+3

x=2

4x-1+3x+3=VW

8-1+6+3=VW

16=VW

Step-by-step explanation:

it is 0.7777777778 . make sure you round it though 0.7^. or 0.78

Answer:

7/9

Step-by-step explanation:

1) Put 1 over 7, like this: 7/1

   REMEMBER EVERYTIME THERE IS A WHOLE NUMBER! PUT A 1 OVER IT!

2) You would get your equation as this: 7/1 * 1/9

3) Multiply HORIZONATLY!

 7 * 1 / 1 * 9  =  7/9

4) Your answer is 7/9!

The work that is done in stretching of the spring is  3.4 J.

Hooke's Law states that when a spring or elastic material is squeezed or stretched, it will produce a force that is directed in the opposite direction from the displacement. The displacement influences the stiffness of the material, and the force's strength is proportional to the displacement.

Using the Hooke's law;

F = ke

k = F/e

k= 9/3

k = 3 ft-lb/ft

We have the extension now as 18 in or 1.5 ft

W = 1/2k\(e^2\)

W = 0.5 * 3 *\((1.5)^2\)

W = 3.4 J

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Z represents the critical value corresponding to the desired confidence level, s is the sample standard deviation, and n is the sample size. By plugging in the values, we can calculate the confidence interval.

Yes, a confidence interval for the true average lifetime can be calculated without assuming anything about the nature of the lifetime distribution. Since the data exhibits a reasonably linear pattern in the normal probability plot, it suggests that the data follows a normal distribution. This allows us to use statistical methods that rely on the assumption of normality, such as calculating a confidence interval.

(b) To calculate a confidence interval with a 99% confidence level for the true average lifetime, we need to determine the sample mean (x) and the standard deviation (s) of the data. Using the given data, we can compute the sample mean and standard deviation. Once we have these values, we can use the formula for calculating a confidence interval:

Confidence Interval = x ± (Z * (s / √n))

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Answer:

A: 47

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  0  and 47 is 47.

Answer:

a

Step-by-step explanation:

Razorback's acceleration is 1.25 m/sec².

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities.

Now it is given that,

Distance ran by Razorback, S = 40 m

Time taken, t = 8 seconds

Since the equation of motion is given as,

S = ut + 1/2at²

Now Razorback was at rest, therefore u = 0

⇒ 40 = 0 + 1/2a(8)²

⇒ 64a = 80

⇒ a = 80/64

⇒ a = 1.25 m/sec²

Thus, Razorback's acceleration is 1.25 m/sec².

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Answer: C  domain

Step-by-step explanation:

The domain of the graph is the defined inputs of a function which is mostly the x values.

Power Query solve the problem b) Cleaning messy data

Power Query is a Microsoft Excel feature that is designed to help users extract, transform, and load data from a variety of sources. It is particularly useful for solving the problem of cleaning messy data.

Cleaning messy data is a common challenge that many people face when working with large or complex datasets. Data can be messy for a variety of reasons, such as being in an inconsistent format, having errors or typos, or containing duplicates or missing values. Cleaning up this data can be time-consuming and error-prone, especially if it is done manually.

Power Query provides a set of tools and features that make it easier to clean and transform data in Excel. It allows users to easily extract data from various sources, remove unwanted columns or rows, split or merge columns, apply filters and transformations, and more. This helps users save time and effort when working with large or complex datasets, and ensures that their data is clean and ready for analysis.

In summary, Power Query helps users solve the problem of cleaning messy data by providing a set of tools and features that make it easier to extract, transform, and load data in Excel.

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Answer:

Step-by-step explanation:

One way to answer this problem is to notice as x goes up 1, y will go up 2. The relationship is linear. No exponential function is going to do that. The jump will not be so easily described.

So what's the answer?

The exact description is D. It is just what I wrote in more general terms.

Answer: In fraction form, the answer is \(26\frac{17}{45}\).

Step-by-step explanation: We are given \(6\frac{3}{4} +19\frac{6}{7}\) and have to find what the sum of the two numbers are. Before we can starting however, the first step is to make the denominators the same to do this, find the least common multiple of 7 and 4, and make that the denominator. Multiply the numerator as well to make the fraction the same. The least common multiple of 4 and 7 is 28. That gives us the problem \(6\frac{21}{28}+19\frac{24}{28}\). (Sorry I don't think I explained that well.)

The next step is to add the numerators of the fractions together. 21 +24 = 45, and the denominator stays the same. Also add the whole numbers together to make one mixed number. This gives us \(25\frac{45}{28}\).

The finals step is to get rid of the improper fraction next to 25. To do this, subtract 28 from 42, and get 17. Add 1 to the 25, and you get \(26\frac{17}{28}\).

\(6\frac{3}{4} +19\frac{6}{7}\)

\(6\frac{3(7)}{4(7)}+19\frac{6(4)}{7(4)}\)

\(6\frac{21}{28} +19\frac{24}{28}\)

\((6+19)+(\frac{21}{28} +\frac{24}{28})\)

\(25+\frac{45}{28}\)

\(25(+1)\frac{45(-28)}{28}\)

\(26\frac{17}{28}\)

Hope this helps! Have a great day!