Question b with explanation?​

Using simple Algebra operation,

Total 17 cards are remianed on table which have the red side up when barsby is finished.

We have the following information about questions:

so, we conclude that,

total number of possible outcomes= 100

In first turn, Sarai , flips up all cards which is divisible by 2

then, the faouable cases that flip card which have a number is divisible by 2 = 50 i.e ={ 2,4,6,8,----,100}

thus, 50 cards are came in position that yellow colour top up .

In second time, she flips the card such that card has a number divisible by 3

favoulbe cases in this case = 33

so, these 33 cards are also came in position that yellow colour top up.

Now, the numbers of cards in which yellow colour side is top up = 33+50 = 83

we have to calculate the number of cards with red colour side top up.

so, the number of cards with red colour side top up = total cards - yellow colour side top up cards

= 100 - 83 = 17

Hence, after the fliping process, total 17 cards are remianed on table with red colour side at top.

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d is the correct answer!

if you need an explanation, comment so i can explain it

Answer:

D

Step-by-step explanation:

The correct answer is D because 6278.0/10000 means when you divide you would move the decimal over 4 times in 6278.0 since there are 4 zeros

which is 0.6278 (the decimal form of D)

True -  the statement says that a basic variable corresponds to a pivot column in the coefficient matrix. From the definition of basic variables, basic variables correspond to the columns that have a leading 1's (pivot columns).

A mathematical system model based on the use of a linear operator is known as a "linear system" in systems theory. In contrast to nonlinear cases, linear systems often display considerably simpler traits and attributes.

In linear systems, the variables are really only multiplied with constants and then added together; they are never multiplied by each other. In order to express both static and dynamic relationships between variables, linear systems are used.

Something relating to a line is linear. To build a line, all of the linear equations are used. Any equation that doesn't result in a straight line is considered as non. It has a variable slope value and appears as a curve on a graph.

A linear system is one in which both the superposition and homogeneity principles hold true.

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Using the given average cost, standard deviation, and assuming a normal distribution, we can determine the probability that the cost for a randomly selected college is more than a certain value.

The average cost of tuition and fees at private nonprofit four-year colleges is $26,640 per year, with a standard deviation of $6,617. Assuming a normal distribution, let x represent the cost for a randomly selected college.
To find the probability that x is more than a certain value, we can use the Z-score formula: Z = (x - mean) / standard deviation.
To find the probability that x is more than a certain value, we can use the Z-score formula: Z = (x - mean) / standard deviation.
Let's say we want to find the probability that x is more than $30,000.
Z = (30000 - 26640) / 6617
Z = 0.051
Using a Z-table or calculator, we can find the corresponding probability to be approximately 0.4801. This means that there is a 48.01% chance that the cost for a randomly selected college is more than $30,000.
In conclusion, using the given average cost, standard deviation, and assuming a normal distribution, we can determine the probability that the cost for a randomly selected college is more than a certain value.

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The answer to (c) is ||4v — 4w|| ≈ 27.07.

Given that || v || = 3, || w || = 3, and the angle between v and w is 2.8 radians. We can calculate the following:(a) v. w = ?The dot product of two vectors is defined as the product of their magnitudes and the cosine of the angle between them.

Therefore, v.w = ||v|| ||w|| cos θWhere, θ is the angle between v and w. So, v.w = 3×3 cos(2.8) ≈ -3.20 Therefore, v.w ≈ -3.20.(b) ||1v + 4w|| = ?

The magnitude of the vector ||1v + 4w|| can be calculated as follows:||1v + 4w|| = √((1v + 4w).(1v + 4w))= √(1v.1v + 8v.w + 16w.w) Substitute the value of v.w we obtained above and calculate||1v + 4w|| = √(9 + 8×(-3.20) + 16×9)≈ 9.97

Therefore, ||1v + 4w|| ≈ 9.97.(c) ||4v — 4w|| =Similarly, the magnitude of the vector ||4v — 4w|| can be calculated as follows:

||4v — 4w|| = √((4v — 4w).(4v — 4w))= √(16v.v — 32v.w + 16w.w) Substitute the values of v.w and ||v|| we obtained above and calculate||4v — 4w|| = √(16×9 — 32×(-3.20) + 16×9)≈ 27.07 Therefore, ||4v — 4w|| ≈ 27.07.

The answer to (a) is v.w ≈ -3.20. The answer to (b) is ||1v + 4w|| ≈ 9.97. The answer to (c) is ||4v — 4w|| ≈ 27.07.

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Answer:

subject?

Step-by-step explanation:

Answer:

lines l //m

Step-by-step explanation:

parallel lines are straight and can never meat each other

Answer:

s = 53.3

Step-by-step explanation:

The square shows that the angle is 90 degrees, and is a shared angle. Therefore, the angles together make 90.

So, to get the unknown angle, you subtract the other angle by 90.

36.7 - 36.7 = 53.3

Answer: 3:55

Add 20 and 35, to get the number of minutes out of 60.

20 + 35 = 55

The time will be 3:55 35 minutes after 3:20.

Hope this helps you!

Answer:

It will be 3:55 because 20 plus 35 equals 55 making it 3:55 in the next 35 minutes.

Step-by-step explanation:

20+35=55

The probability that a randomly selected cap had a strength greater than 11 inch-pounds is approximately 0.2033 or 20.33% (rounded to two decimal places).

We know that cap strength, C, follows a normal distribution with mean μ = 10 inch-pounds and standard deviation σ = 1.2 inch-pounds. Therefore, we can standardize the variable C using the z-score formula:

z = (x - μ) / σ

where x is the value of cap strength we are interested in. In this case, we want to find the probability that a randomly selected cap had a strength greater than 11 inch-pounds, so x = 11. Plugging in the values for μ and σ, we get:

z = (11 - 10) / 1.2 = 0.83

Next, we need to find the probability that a standard normal random variable Z is greater than 0.83. This can be looked up in a standard normal distribution table or calculated using software. Using a standard normal distribution table, we find that the probability of Z being greater than 0.83 is approximately 0.2033.

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The slope of the given coordinate points is -2. Therefore, option D is the correct answer.

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 formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinate points are (2, -8) and (-4, 4).

Here, substitute (x₁, y₁)=(2, -8) and (x₂, y₂)=(-4, 4) in slope formula, we get

m= (4+8)/(-4-2)

m= 12/(-6)

m= -2

Therefore, option D is the correct answer.

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The amount of profit Gavin made in selling the water bottles at the base ball game is $65.

He bought 75 bottle water for a total of $25.

He sales all of the  bottles for $1.20 each.

Therefore,

profit = selling price - cost price

Hence,

cost price = $25

selling price = 1.20(75) = $90

Finally,

profit = 90 - 25 = $65

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Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.

The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.

Here,

We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.

Taking a look at the rectangle first, we can observe that it has the following area:

=> 120 square feet=  10 feet x 12 feet.

=> 40 square feet =  (1/2)(10 ft)(8 ft).

Consequently, the two triangles' combined area is:

=> 80 square feet =  2 x 40 square feet.

=> (12 square feet) = (1/2)(6 ft)(4 ft).

The total area of all the shapes is as follows:

=> 212 square feet=  120 square feet, 80 square feet, and 12 square feet.

=> 212 square feet of the wall are therefore covered by the design.

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Answer: the answer is 261 ^2 ft!

Step-by-step explanation:

The minimum affine plane can be constructed using the binary field F^2. It consists of four points and six lines. The points are (0,0), (0,1), (1,0), and (1,1), and the lines are defined by their equations: x = 0, y = 0, x + y = 0, x = 1, y = 1, and x + y = 1.

The minimum affine plane is a fundamental concept in projective geometry. In this case, we can use the binary field F^2, which consists of two elements, 0 and 1. The points in the affine plane are represented by pairs (x, y), where x and y are elements of F^2.

The four points in the minimum affine plane are (0,0), (0,1), (1,0), and (1,1). These points represent the corners of a square. The equations of the lines can be derived based on the properties of the binary field. The first line, x = 0, represents the vertical line passing through the point (0,0). This line consists of all points where the x-coordinate is 0.

The second line, y = 0, represents the horizontal line passing through the point (0,0). It consists of all points where the y-coordinate is 0.The third line, x + y = 0, represents the diagonal line passing through the points (0,0) and (1,1). It consists of all points where the sum of the x-coordinate and y-coordinate is 0.

The fourth line, x = 1, represents the vertical line passing through the point (1,0). It consists of all points where the x-coordinate is 1. The fifth line, y = 1, represents the horizontal line passing through the point (0,1). It consists of all points where the y-coordinate is 1.

The sixth line, x + y = 1, represents the diagonal line passing through the points (0,1) and (1,0). It consists of all points where the sum of the x-coordinate and y-coordinate is 1. By using the binary field F^2 and the defined points and lines, we can construct an analytic model of the minimum affine plane.

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The equation that can be used to find the cost of shipping boxes is: 3p + 11 = 34.70. By solving the equation, we get p = $7.23.

The problem is about finding the cost of shipping boxes. Ava purchased 3 flat-rate shipping boxes, and a book of stamps, spending a total of $34.70. The problem asks to find out how much the post office charged for each shipping box, given that the cost of a book of stamps is $11.

To find the cost of a single flat-rate shipping box, let's assume that the post office charged p dollars for each shipping box. Therefore, the cost of three shipping boxes will be 3p dollars.

Along with this, Ava also bought a book of stamps which cost her $11.

So, the total amount she spent can be written as the sum of the cost of the shipping boxes and the cost of the book of stamps. This is given by:

3p + 11 = 34.70

Solving for p, we get:

p = (34.70 - 11)/3p = $7.23 (approx)

Therefore, each shipping box costs $7.23.

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Answer: I think its 294cm²

Answer: 24 units

Step-by-step explanation:

If you are multiplying a shape by a scale factor, the dimensions are also multiplied by the scale factor.

QR= x

Q'R'= (1/2)(X)

12=(1/2)(X)

(2)12= 1/2x(2)

24=X

If you're multiplying QR by 1/2 you would get 12. 12 is a half of QR. Therefore, QR is 24.

\(\text {Hello! Let's Solve this equation!}\)

\(\text {Since there is a negative in the problem this tells us that the answer we get will be a negative.}\)

\(\text {Here are some tips on dividing/multiplying equations like this.}\)

\(\text {Multiplying/Dividing a Positive to a Positive will equal a Positive}\\\text {Multiplying/Dividing a Positive to a Negative will equal a Negative}\\\text {Multiply/Dividing a Negative to a Negative will equal a Positive}\\\text {Multiplying/Dividing a Negative to a Positive will equal a Negative}\)

\(\text {Now Divide!}\)

\(\text {12/-4=}\)

\(\fbox {-3}\)

\(\text {As you can see 4 is a negative number so our result came out as a negative number.}\)

\(\text {Want to see if your answer is correct? Sure! Do the opposite of Dividing and Multiply!}\)

\(\text {-3*-4=12}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

Considering the cost of 3 bell peppers are $2.05, 4 tomatoes are $1.09, 2 onions are $0.65 and 5 potatoes are $0.33, and Giorgio used all these vegetables for his dinner, then his meal costed a total amount of $4.45.

As per the question statement, no information about the vegetables Gorgio used for his dinner or their prices are provided in the question statement, and thus we are considering that, Gorgio used 3 bell peppers that costed $2.05, 4 tomatoes at $1.09, 2 onions at $0.65 and 5 potatoes at $0.33 in his dinner recipe.

We are required to calculate how much does Gorgio's dinner meal cost.

To solve this question, we simply have to add up the prices of the ingredients and we will obtain our desired answer.

That is, Gorgio's  meal costed a total amount of $(2.05 + 1.09 + 0.65 + 0.33)

                                                                             = $4.45

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Answer: sorry I dont know!

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The radius of the circular with maximum volume with the sum of the height and circumference is 30 centimeters is 20 centimeters.

The volume of a circular cylinder refers to the amount of space in the cylinder.

The relationship between the radius (r) and height (h) is given as: sum of the height and circumference is 30 centimeters.

r + h = 30

substract r from both sides

h = 30 - r

Volume of cylinder = πr²h

Substitute h = 30 - r into the equation

Volume of cylinder = πr²h

= π × r² × (30 - r)

= 30πr² - πr³

Differentiate the equation

Volume of cylinder = 60πr - 3πr²

Set the equation to 0

60πr - 3πr² = 0

60πr = 3πr²

Divide both sides by πr

60 = 3r

divide both sides by 3

r = 60/3

r = 20 centimeters

In conclusion, the radius of circular cylinder with the maximum volume is 20 centimeters

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Answer:

108ft squared

Step-by-step explanation:

Length increased by 50%: 12ft

Width increased by 50%: 9ft

12x9=108ft squared

I think this is right please confirm before using this answer. Please favorite if right.

The outcome in sample space is equal to the no. of ways of selecting 3 balls at random from 10 distinct balls. So, number of outcomes in sample space = ¹⁰C₃.

Permutation:

Permutations are different ways of arranging objects in a particular order. This can also be expressed as rearranging the elements in linear order of an already ordered set. The symbol are used to denote the number of permutations of n distinct objects obtained for each r. Block bus, train and plane timetables, postcode and phone number assignments. These are some situations where permutations are used.

Example: There are 5 chairs and 3 people need to sit on them. There are 5 ways to place the first person. 2nd person 4 seats, 3rd person 3 seats. So to find the number of ways to place her 3 on 5 chairs, multiply these ways. Make 5×4×3 streets. So we can do it 60 ways. 5 × 4 × 3 is written as (5!) / (2!) (or) (5!) / (5 - 3).

A combination is a selection of elements from a set with different members, so the order of selection does not matter (unlike a permutation). For example, if he is given three fruits, such as apples, oranges, and pears, he has three binary combinations that he can draw from this set. An apple and a pear. apples and oranges. Or pear and orange. More formally, a k-combination of a set S is a subset of the k distinct elements of S. Two combinations are identical only if each combination has the same members.

According to the Question:

The outcome in sample space is equal to the no. of ways of selecting 3 balls at random from 10 distinct balls. So, number of outcomes in sample space = ¹⁰C₃.

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When reflecting over the line y = x, we swap the positions of x and y.

The rule is \((x,y) \to (y,x)\)

Side note: this process is useful when it comes to finding the inverse. This is because the inverse undoes the original function.

Answer:

$9

Step-by-step explanation:

We know

They start at 10:15 and end at 11:45. It is 1 hour 30 minutes long.

1 hour 30 minutes = 90 minutes

The boat rental costs $1.50 for every 15 minutes.

How much will they pay?

We Take

90 divided by 15, then time 1.50 = $9

So, they pay $9

Answer:

Scott and Tom will pay a total of $9 for the boat rental.

Step-by-step explanation:

If Scott and Tom rent the boat between 10:15 and 11:45, then the total time they rented the boat is 1 hour and 30 minutes.

To convert 1 hour and 30 minutes to units of 15 minutes, we can divide the total number of minutes by 15:

⇒ 1 hour = 60 minutes

⇒ 1 hour and 30 minutes = 60 + 30 = 90 minutes

⇒ 90 minutes / 15 minutes = 6

Therefore, there are 6 units of 15 minutes in 1 hour and 30 minutes.

Given the cost for renting the boat is $1.50 per 15-minute interval, the total cost for renting the boat is:

⇒ 6 × $1.50 = $9

Therefore, Scott and Tom will pay $9 for the boat rental.

a) To make the number of straight lines and arcs in Pattern B follow the ratio of 7:6, 7 rows need to be added.

b) The total cost of the metal in the pattern is £17.60.

a) In Pattern B, the ratio of the number of straight lines to arcs is 7:6. Let's assume that initially, there are n rows in Pattern B. Each row contains one straight line and one arc. So, the total number of straight lines and arcs in n rows would be 2n.

According to the given ratio, 7/6 of the total would represent the number of straight lines, and the remaining 6/6 - 7/6 = 1/6 would represent the number of arcs.

Therefore, the equation representing the ratio is (7/6) * 2n : (1/6) * 2n = 7:6.

Simplifying the equation, we get:

(14/6) * n : (2/6) * n = 7:6

14n : 2n = 7:6

7n = 6n

n = 0

This implies that initially, there are no rows in Pattern B. Therefore, to make the number of straight lines and arcs in Pattern B follow the ratio of 7:6, 7 rows need to be added to Pattern B.

b) The ratio of the cost of one straight line to one arc is 2:3. Given that the cost of 20 straight lines is £12, we can determine the cost of one straight line:

Cost of one straight line = £12 / 20 = £0.60

Since the ratio of the cost of one straight line to one arc is 2:3, the cost of one arc can be calculated:

Cost of one arc = (2/3) * £0.60 = £0.40

To find the total cost of the metal in the pattern, we multiply the number of straight lines by their cost and the number of arcs by their cost, and then add the two amounts:

Total cost = (20 * £0.60) + (14 * £0.40) = £12 + £5.60 = £17.60

Therefore, the total cost of the metal in the pattern is £17.60.

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The future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

To calculate the future value (FV) of an investment of $10,000 at an interest rate of 6% per year, compounded annually, after 7 years, we can use the formula:

FV = P(1 + r)^n

Where:

P is the principal amount (initial investment) = $10,000

r is the interest rate per period = 6% = 0.06

n is the number of periods = 7

Plugging in the values, we have:

FV = $10,000(1 + 0.06)^7

Calculating the expression inside the parentheses first:

(1 + 0.06)^7 ≈ 1.41851

Now, multiply the principal amount by the calculated expression:

FV ≈ $10,000 * 1.41851 ≈ $14,185.10

Therefore, the future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

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