You flip a coin and then roll a fair six-sided die. Find probability the coin lands heads-up and the die shows a five

Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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Answer:

90 cm

Step-by-step explanation:

Let the side of the square be S

Area of the square = S² = 64

So, S = √64 = 8 cm

Let L be the length of the rectangle and B be the breadth

We know B = S = 8

Area of rectangle = BL = 8L

Total area = Area of square + area of rectangle

Total area   = 64 + 8L  = 232  (given)

Subtracting 64 from both sides yields

8L = 232-64 = 168 or L = 168/8 = 21

Perimeter of square = 4S = 4 x 8 = 32

Perimeter of rectangle = 2(B + L) = 2(8 + 21) = 2 x 29 = 58

Total perimeter = 32 + 58 = 90 cm

Answer:

A

Step-by-step explanation:

Answer:

n = 6

Step-by-step explanation:

Given

3n - 4 = 14 ( add 4 to both sides )

3n = 18 ( divide both sides by 3 )

n = 6

 ∫[x * ex-4x + c * (x - 4x^3y)] dy = ∫[-(1/4) * e^u] du = -(1/4) * eu + c3, where c3 is a new constant of integration.

1. To rewrite the ODE in linear form, we have d(x)/dy + P(x)y = Q(x), where P(x) = -4x and Q(x) = x - 4x^3y.

2. Next, we calculate the integrating factor, denoted as I(x), using the formula I(x) = e^(∫P(x)dx).

In this case, P(x) = -4x, so the integrating factor becomes I(x) = e^(-4x) = e^x * e^(-4x) = ex * e^(-4x) = ex-4x + c, where c is a constant.

3. Multiplying the integrating factor by the original ODE, we obtain:

  (ex-4x + c) * d/dy(x - 4xy) = (ex-4x + c) * (x - 4x^3y)

4. Applying the product rule and the integrating factor property, the equation simplifies as follows:

  d/dy(exy - 4xy) = x * ex-4x + c * (x - 4x^3y)

5. Integrating both sides of the equation, we get:

  exy - 4xy = ∫[x * ex-4x + c * (x - 4x^3y)] dy + c2, where c2 is a constant of integration.

6. To integrate the right-hand side, we can use u-substitution. Let u = -4x^3y, then du = -4x^3 dy.

  We can also express x * dx = du by solving for dx.

  Substituting u and dx into the right-hand side of the equation, we have:

  ∫[x * ex-4x + c * (x - 4x^3y)] dy = ∫[-(1/4) * e^u] du = -(1/4) * eu + c3, where c3 is a new constant of integration.

7. Substituting this result into the general solution obtained earlier and simplifying, we arrive at the final solution:

  exy - 4xy = -(1/4) * eu + c3.

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The angle between two vectors a = 5i + j and b = 2i - 4j is approximately 52.125°.

The angle between two vectors can be calculated using the following formula: cosθ = (a · b) / (||a|| ||b||)

where θ is the angle between the vectors, a · b is the dot product of the vectors, and ||a|| and ||b|| are the magnitudes of the vectors.

In this case, the dot product of the vectors is 13, the magnitudes of the vectors are √29 and √20, and θ is the angle between the vectors. So, we can calculate the angle as follows:

cos θ = (13) / (√29 * √20) = 0.943

The inverse cosine of 0.943 is approximately 52.125°. Therefore, the angle between the two vectors is approximately 52.125°.

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Answer:

=8(−3a−2b+5)

Step-by-step explanation:

Rewrite the 40 as 5*8.

Rewrite -16 as 2*8

Rewrite -24 as 3*8

= 3* 8a+2*8b+5*8

8(−3a−2b+5)

Answer:

9/20  also 45%

Step-by-step explanation:

well if 20 of them 9 are brown so 9 out of 20 of them are brown/45% of them because out of 20 each thing right or each person is 5%

Answer:

45/100 out of the 20 chickens are brown

Step-by-step explanation:

9/20 = 45/100

9/20 x 5 = 45/100

Violet worked alone for 194 minutes while her companion assisted for 27 minutes, for a total of 221 minutes.

The unit technique is the process of predicament where you first assess the price of a specific unit, then multiply a certain value to get the answers. Simply simply, a single unit value is obtained from a provided multiple using the unit method. For contrast, 40 pens will cost you roughly 400 rupees, or $1.01. The method being used accomplish this might be standard. a solitary nation. anything does indeed have a distinctive component. (Economics, Algebra) Its coproduct and reciprocal are comparable. (Linear Algebra, Mathematical Analysis, Mathematical skills of Matrix or Operators)

given

Time = 2:12 p. M. To 5:53 p. M

= total time in minutes = 221 minutes

= friend helped = 27 minutes

= 221 - 27 = 194 minutes

Violet worked alone for 194 minutes while her companion assisted for 27 minutes, for a total of 221 minutes.

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Answer:

Week 8

Step-by-step explanation:

week 1 8

week 2 11

week 3 14

week 4 17

week 5 20

week 6 23

week 7 26

week 8 29

Answer:

21°

angles remain the same

Fat contributes 90 kilocalories to the total energy value of the candy bar.

To calculate the number of kilocalories contributed by fat, we need to use the fact that each gram of fat provides 9 kilocalories of energy. Therefore, for the 10 grams of fat in the candy bar, we can calculate the energy contribution as follows:

Energy from fat = (10 g) x (9 kcal/g) = 90 kcal

The carbohydrate and protein content of the candy bar are not relevant to this calculation. Therefore, the total energy value of the candy bar can be determined by simply adding the energy contribution from fat to the energy contributions from carbohydrate and protein.

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Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

Answer:X = 19 degrees

Step-by-step explanation:

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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The linked list at index 9 would be: 39,9,19. This is because the hash function key % 10 would place the keys 19, 20, 10, 32, 9, 43, and 39 into the array indices 9, 0, 0, 2, 9, 3, and 9 respectively. Since all the keys at index 9 collide, they are placed in a linked list using separate chaining.

The order in which they were inserted is 19, 20, 10, 32, 9, 43, and 39. Therefore, the resulting linked list at index 9 would be 39,9,19.
Based on the given operations and the hash function key % 10, I'll explain the contents of the linked list at index 9 in the separate chaining hash table.

1. Create a new SeparateChainingHashST named st.
2. Perform the following put operations:
  - st.put(19, -): 19 % 10 = 9, so 19 is added to the linked list at index 9.
  - st.put(20, -): 20 % 10 = 0, so 20 is added to the linked list at index 0.
  - st.put(10, -): 10 % 10 = 0, so 10 is added to the linked list at index 0.
  - st.put(32, -): 32 % 10 = 2, so 32 is added to the linked list at index 2.
  - st.put(9, -): 9 % 10 = 9, so 9 is added to the linked list at index 9.
  - st.put(43, -): 43 % 10 = 3, so 43 is added to the linked list at index 3.
  - st.put(39, -): 39 % 10 = 9, so 39 is added to the linked list at index 9.

After these operations, the linked list at index 9 contains the following elements (in the order they were added): 19, 9, 39.

Your answer: 19, 9, 39

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Statement is true.

The slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts.

Their:

1. corresponding angles are equal.

2. Alternative interior angles are equal.

3. Consecutive interior angles are supplementary.

4. Consecutive exterior angles are supplementary.

Answer:

D

Step-by-step explanation:

I have done this before
Top row units is 8 i then multiplied both sides so 5*2 which = 10 then multiplied 8*10 to get 80

Answer:

80 square units (D)

Step-by-step explanation:

Base is 16 units, height is 5 units. 16 * 5 = 80

The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

The 4 properties of the rhombus are:

A quadrilateral in Euclidean geometry is a rhombus. It's a parallelogram with all sides equal and diagonals intersecting at 90 degrees. In addition, opposing sides are parallel, and opposing angles are equal. This is a fundamental property of the rhombus. A rhombus is shaped like a diamond. As a result, it's also known as a diamond.

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Answer: 1.42 x 10^1

Step-by-step explanation:

Answer: 1.42x10

Step-by-step explanation:

Answer:

i dont understand what u want us to do like?

The number of pieces that she can cut from a ball of string that is 100 feet is ,49 pieces.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both

It's important to note that 1 feet = 12 inches.

Therefore, 100 feet will be:

= 100 × 12

= 1200 inches.

Carla is cutting pieces of string that are exactly 24.3 inches long. The number that can be cut will be:

= 1200 / 24.3

= 49

There'll be 49 pieces.

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Answer:

- 43t - 22s - 3

Step-by-step explanation:

(–45t + 53s) + (–3 – 75s + 2t)

Opening the brackets

-45t + 53s -3 - 75s + 2t

Collecting like terms

-45t + 2t + 53s - 75s -3

Simplify the expression

-43t -22s - 3

The intersection of plane TUYX and plane VUYZ is found as UY.

For the stated question-

According to the supplied figure, TUYX is one side of both the rectangular prism while UVYZ is its opposite side.

One edge, which is represented by the line segment UY, has both sides intersecting perpendicularly.

It is depicted in the figure.

Thus, UY is the line that intersects as a result.

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The correct question is attached.

The relative frequency for Pooja, Melissa, Ernesto, and Dalia is 0.33,  for Salma and Olga is 0.66, and for Pedro and Divya is 0.

The relative frequency describes through a percentage (0% to 100%) or an equivalent, the frequency of an event. Here are some examples:

To find relative frequency simply use this formula

Let's use this formula to calculate the frequency of classes failed by each child.

1/ 3 = 0.33

1/3 = 0.3

2/3 = 0.66

0/ 3 = 0

1/3 =0.33

1/3 = 0.33

2/3 = 0.66

0 /3 = 0

Finally, create the bar graph using the information.

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