Before getting to school, John has a few errands to run. John has to walk 12 blocks to the library, and 6 blocks to the gallery, before walking the final 10 blocks to arrive at school. If John has already walked 8 blocks, how many more blocks must he walk before arriving at school?

If correct ill give brainiest

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer:

60

12 inches=1 foot so 12 ×5=60

Answer:

60

Step-by-step explanation:

lol

Answers:

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Explanation:

Question 1

27x^6 = (3x^2)^3 which is one cube and y^3 is another cube

Therefore 27x^6+y^3 is a sum of two cubes.

It might help to think of it like A^3+B^3 where in this case A = 3x^2 and B = y.

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Question 2

81 isn't a perfect cube since 81^(1/3) = 4.3267 approximately, which isn't a whole number. We need 81^(1/3) to be a whole number if we wanted 81 to be a perfect cube.

We don't even need to check b^15 since 81 being a non-perfect cube means the entire expression cannot be a sum of two cubes, nor a difference of cubes.

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Question 3

64x^3 = (4x)^3 is a perfect cube

but 9z^9 is not a perfect cube

We can see this if we computed 9^(1/3) and the result is a non-whole number.

The answer here is the same as the previous question.

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Question 4

36^(1/3) is not a whole number, so 36 isn't a perfect cube. By extension  36m^12 isn't a perfect cube either. The answer is the same as questions 2 and 3.

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Question 5

1 is a perfect cube since 1 = 1^3

d^12 is a perfect cube because d^12 = (d^4)^3

Therefore, we have a difference of two cubes.

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Question 6

729^(1/3) = 9 which rearranges to 9^3 = 729, showing 729 is a perfect cube.

However y^29 is not a perfect cube since the exponent 29 is not a multiple of 3.

The overall expression is "neither".

----------------------------------------

Question 7

343^(1/3) = 7 rearranges to 7^3 = 343, showing 343 is a perfect cube

y^6 is a perfect cube since (y^2)^3, i.e. the exponent 6 is a multiple of 3.

We have a difference of cubes.

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Question 8

4 isn't a perfect cube since 4^(1/3) results in some decimal value that isn't a whole number. The entire expression is neither a sum nor difference of cubes.

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Question 9

144^(1/3) isn't a whole number, so we get a similar result to problem 8.

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Question 10

64j^6 = (4j^3)^3 is one cube

k^9 = (k^3)^3 is another cube

We have a difference of cubes

Answer:

they are similar

Step-by-step explanation:

a scale is a normal number scale while a scale factor is a scale but instead of normal numbers it uses factors

Let's see

Scale usually denotes unit rate or a numerical value change mentioned above graphs

Scale factor is same but it uses factors .

like

Step-by-step explanation:

(4z +9) + ( 9y - 2) =180

4z + 9y = 173 ....... Equation 1

The angles of triangle = 180

We miss one angle and in opposite of that angle is 135 so

( 5y +5 +4z +9)+135 = 180

5y + 4z + 149 = 180

5y + 4z = 31 ....... Equation 2

Subtract between two equations 1 & 2

4y = 142

y = 142/4

y = 35.5

Answer:

po*n hub is the thing you should be watching

Answer:

x = - 4

Step-by-step explanation:

From the congruency proof below, it is clear that Angle ACD is congruent to ECB by ASA Congruency postulate.

We are given that;

BC ≅ CD

∠CAE ≅ ∠CEA

Now, since ∠CAE ≅ ∠CEA, it means that Triangle ACE is an Isosceles Triangle since the two base angles are equal. This also means that AC ≅ EC.

Now, if AC is congruent to EC and we are told that BC = CD, then it follows that AB ≅ DE.

Now, AB is congruent to DE and AE is by reflexive property of congruence a congruent side to both triangles ABE and ADE, it means that ACD is congruent to ECB because they share a common angle C and BC is congruent to CD.

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The function f(x) = 6(x - ex) reaches its highest possible value at x=0, where f(0) equals 6 multiplied by the result of subtracting e to the power of 0 from 0, which simplifies to -6.

To find the absolute maximum value of the function f(x) = 6(x - ex), we need to take the derivative of the function and set it equal to zero.

f'(x) = 6(1 - e^x)

Setting f'(x) = 0, we get:

6(1 - e^x) = 0

e^x = 1

x = ln(1) = 0

Now we need to check if this critical point is a maximum or a minimum. We can do this by taking the second derivative of the function:

f''(x) = -6e^x

Plugging in x = 0, we get:

f''(0) = -6e^0 = -6 < 0

Since the second derivative is negative, we know that the critical point at x = 0 is a maximum.

Therefore, the absolute maximum value of the function f(x) = 6(x - ex) is f(0) = 6(0 - e^0) = -6.

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The pasture is 68.73 acres. Total fence length: 7000 ft + 32 ft (drive-through gates) + 16 ft (walk-through gates). You need approximately 22 rolls of woven wire fencing.



To find the area of the pasture in acres, we need to convert the given measurements from feet to acres.

1 acre = 43,560 square feet

Area of the pasture = 1500 ft * 2000 ft = 3,000,000 square feet

Area in acres = 3,000,000 square feet / 43,560 square feet per acre ≈ 68.73 acres

So, the area being fenced is approximately 68.73 acres.

Now, let's calculate the total length of fencing required, taking into account the gates.

Length of fence needed = perimeter of the pasture + length of drive-through gates + length of walk-through gates

Perimeter of the pasture = 2 * (length + width)

Perimeter = 2 * (1500 ft + 2000 ft) = 2 * 3500 ft = 7000 ft

Length of drive-through gates = 2 * 16 ft = 32 ft

Length of walk-through gates = 4 * 4 ft = 16 ft

Total length of fencing needed = 7000 ft + 32 ft + 16 ft = 7048 ft

Now, we can calculate the number of rolls of woven wire fencing needed.

Length of one roll of woven wire = 330 ft

Number of rolls needed = Total length of fencing needed / Length of one roll of woven wire

Number of rolls needed = 7048 ft / 330 ft ≈ 21.39 rolls

Since we can't purchase a fraction of a roll, we'll need to round up to the nearest whole number.

Therefore, you would need to purchase approximately 22 rolls of woven wire fencing.

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The matrix A is diagonalizable.

To find the distinct eigenvalues of matrix A, we need to solve the equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

Calculating the determinant, we have:

det(A - λI) = |1-λ 0 0 0 |

|32-1 0 16 0 |

|0 -1 0 0 |

|0 0 -1 0 |

Expanding along the first row, we get:

det(A - λI) = (1-λ)[(-1)(-1)(0) - (16)(0)] - (0)[(32-1)(-1)(0) - (16)(0)] = (1-λ)(0 - 0) = 0

The equation (1-λ) = 0 gives us the eigenvalue λ = 1 with multiplicity 1.

The dimensions of the associated eigenspaces can be found by solving the equation (A - λI)x = 0, where x is a non-zero vector. In this case, for λ = 1, we have:

(1-1)x = 0

0x = 0

This implies that the dimension of the eigenspace associated with eigenvalue 1 is 1.

Now, to determine if matrix A is diagonalizable, we need to check if it has a complete set of linearly independent eigenvectors. Since the dimension of the eigenspace associated with eigenvalue 1 is 1 (which matches the multiplicity), we have a complete set of linearly independent eigenvectors.

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On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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Answer:

x<-60

Step-by-step explanation:

just used photomath

Answer:

x<-60

work:

(-10) x/-10 > 6 (-10)

x< -60 flip sign because multiply by negative number

hope this helps :)

Answer:

A. 18

Step-by-step explanation:

\( \huge \: 2(4 - 1)^{2} \\ \\ \huge= 2(3)^{2} \\ \\ \huge = 2 \times 9 \\ \\ \huge = 18 \\ \)

Answer:

x=42

Step-by-step explanation:

Just do 24/32 on calculator to get .75

Then multiply .75 by 56, the side you are looking for to get 42

To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.

To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().

Here's an example:

string = "'example string'"

stripped_string = string.strip("'")

After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.

To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.

Here's an example:

string_list = list(stripped_string)

string_list.pop(12)

result_string = ''.join(string_list)

After executing this code, the value of result_string will be the modified string with the item at index 12 removed.

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Answer:

They can buy 24 helmets.

Step-by-step explanation:

1 helmet = $15

$369 divided by $15 --> 24.6 --> 24 helmets

Answer:

The family should budget $73.50 for 21 gallons of gasoline.

The given expression 5x√3x  -2x√3x - x√3x can be simplified as 2x √3x.

The given expression can be written as follows;

5x√3x  -2x√3x - x√3x

Collect similar terms together;

= 5x√3x  -2x√3x - x√3x

= (5x  -2x - x)√3x

Now, factorize the expression since they common roots

=  (5x  -2x - x)√3x

= 2x √3x

Thus, the given expression 5x√3x  -2x√3x - x√3x can be simplified as 2x √3x.

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Answer:

\(2x\sqrt{3x}\)

Step-by-step explanation:

took the test

Answer:

-1

Step-by-step explanation:

-6+5=-1

hope this helps.

The probability that no one enters between 12:00 and 12:05 is 0.082.

The probability that at least 4 people enter the casino during that time is 0.242

Given that people enter the casino at the rate of 1 every 2 minutes. A random variable X is defined as the number of people entering the casino between the time period of 12:00 and 12:05. Since we are given in the question that people enter the casino at the rate of 1 every minute, hence in the given time period they enter at the rate of 2.5.

P(X=0) = \(e^{-2.5}\) = 0.082

Hence the probability that no one enters between 12:00 and 12:05 is 0.082.

The required probability is simply

P(X≥4) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3)

= 1 - \(e^{-2.5}\) - 2.5\(e^{-2.5}\) - (((2.5)² / 2)\(e^{-2.5}\) ) - (((2.5³)/3!)\(e^{-2.5}\))

= 0.242

Hence, the probability that at least 4 people enter the casino during that time is 0.242

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Answer:

\(\frac{3}{8} x+\frac{1}{2} y+\frac{3}{8}\)

Step-by-step explanation:

Gather like terms:

\(\frac{3}{4}y-\frac{1}{4}y=\frac{2}{4}y=\frac{1}{2}y\)

\(\frac{7}{8} -\frac{1}{2}=\frac{7}{8} -\frac{4}{8}=\frac{3}{8}\)

Therefore, equivalent expression = \(\frac{3}{8} x+\frac{1}{2} y+\frac{3}{8}\)

Answer:

Step-by-step Solution:

Hence, Option B is correct.

Answer:

Step-by-step explanation:

19  .m= (64*7)/8=56  

20.a= (36*7) /28=9

12*у=15у-40

12у-15у=-40

У=40/3

The answer of the given question based on the assuming that the spins are independent, the pmf of x is P(x = k) = (2/3)^(k-1) * (1/3).

Probability is a measure of likelihood or chance that specific event will occur. It is  branch of mathematics that deals with study of random events and their associated outcomes.

In probability theory, events are typically represented as sets of possible outcomes, and probabilities are assigned to these events based on likelihood of their occurrence. The probability of  event is  number between 0 and 1, where 0 represents  impossible event and 1 represents certain event.

Let's denote the probability of getting a 3 on any given spin as p. Since the spinner only has three numbers, the probability of getting a 3 on any given spin is 1/3.

Now, let's consider the probability distribution of x, the number of spins until the first 3 occurs. The probability that x = 1 is simply the probability of getting a 3 on the first spin, which is p = 1/3.

The probability that x = 2 is the probability of not getting a 3 on the first spin (which is 2/3), multiplied by the probability of getting a 3 on the second spin (which is p = 1/3). So:

P(x = 2) = (2/3) * (1/3) = 2/9

Similarly, the probability that x = 3 is the probability of not getting a 3 on the first two spins (which is (2/3)^2), multiplied by the probability of getting a 3 on the third spin (which is p = 1/3). So:

P(x = 3) = (2/3)²* (1/3) = 4/27

In general, the probability that x = k (where k is a positive integer greater than or equal to 1) is the probability of not getting a 3 on the first k-1 spins (which is (2/3)^(k-1)), multiplied by the probability of getting a 3 on the kth spin (which is p = 1/3). So:

P(x = k) = (2/3)^(k-1) * (1/3)

This is the pmf (probability mass function) of x, the number of spins until the first 3 occurs.

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The answer of the given question based on the assuming that the spins are independent, the pmf of x is P(x = k) =\((2/3)^{k-1}\) × (1/3).

Probability is a measure of likelihood or chance that specific event will occur. It is  branch of mathematics that deals with study of random events and their associated outcomes.

In probability theory, events are typically represented as sets of possible outcomes, and probabilities are assigned to these events based on likelihood of their occurrence. The probability of  event is  number between 0 and 1, where 0 represents  impossible event and 1 represents certain event.

Let's denote the probability of getting a 3 on any given spin as p. Since the spinner only has three numbers, the probability of getting a 3 on any given spin is 1/3.

Now, let's consider the probability distribution of x, the number of spins until the first 3 occurs. The probability that x = 1 is simply the probability of getting a 3 on the first spin, which is p = 1/3.

The probability that x = 2 is the probability of not getting a 3 on the first spin (which is 2/3), multiplied by the probability of getting a 3 on the second spin (which is p = 1/3). So:

P(x = 2) = (2/3) × (1/3) = 2/9

Similarly, the probability that x = 3 is the probability of not getting a 3 on the first two spins (which is (2/3)^2), multiplied by the probability of getting a 3 on the third spin (which is p = 1/3). So:

P(x = 3) = (2/3)² × (1/3)

= 4/27

In general, the probability that x = k (where k is a positive integer greater than or equal to 1) is the probability of not getting a 3 on the first k-1 spins (which is  \((2/3)^{k-1}\)), multiplied by the probability of getting a 3 on the kth spin (which is p = 1/3). So:

P(x = k) = \((2/3)^{k-1}\) × (1/3).

This is the pmf (probability mass function) of x, the number of spins until the first 3 occurs.

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Answer:

10/8      15/12   20/16,   25/20,   30/24,   35/28,   40/32, 45/36, 50/40, 55/44, 60/48, 65/52, 70/56, 75/60, 80/64, 85/68, 90/72, 95/76, 100/80

There are probably hundreds of fractions that are equivalent to 5/4 but i am going to list 3-

1. 10/8

2. 15/12

3. 20/16