can you simplify 15/88​

Answer: 63,343

Step-by-step explanation:

3,649 = 3,000 + 600 + 40 + 9

Now, the multiplication:

( 3,000 + 600 + 40 + 9 ) * 7

21,000 + 42,000 + 280 + 63

Making the sum:

63,343

The probability that there are no counts in a 30 second interval is 0.284

What is probability ?

Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Before we can determine the probability that a particular event will occur, we must first know the total number of outcomes.

Given that,

Assume that a Geiger counter records counts using a poisson process, with an average rate of 2 counts per minute.

0.284

P(X < 10 Seconds)  = P(X<1/6 minutes) = F(1/6) = 1-e-2*1/6 = 1-e-1/3 = 0.284

Therefore, the  probability that there will be no counts in a 30-second period is 0.284.

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m=3-1/3+2=2/5

Equation of line in point slope. form

\(\\ \sf\longmapsto y-y_1=m(x-x_1)\)

\(\\ \sf\longmapsto y-1=2/5(x-(-2))\)

\(\\ \sf\longmapsto y-1=2/5(x+2)\)

\(\\ \sf\longmapsto 5y-5=2x+4\)

\(\\ \sf\longmapsto 2x-5y+9=0\)

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

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Answer:

3.92

Step-by-step explanation:

Answer: an angle is defined as two rays with a common end point, so CAB is an angle. A line is described as an infinite set of points that extend forever in eaither direction, which these rays also do.

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

What did you include in your response? Check all that apply.  (You should have all of these)

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.  

Answer:

The third one

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

To find (f+g)(x), we need to add the functions f(x) and g(x) together. the answer is c. 7x-1

we can add the two functions as follows:

(f+g)(x) = f(x) + g(x)
= (5x - 2) + (2x + 1)

To add the terms with the same variables (x),

we combine the coefficients: = 5x + 2x - 2 + 1

Simplifying the equation: = 7x - 1

To find the sum of two functions, we add the corresponding terms. In this case, we add the coefficients of x and the constants separately. After simplifying the expression, we get 7x - 1 as the result.

Therefore, the correct answer is option c) 7x-1.

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Answer:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

Step-by-step explanation:

The ratio 3:2 is length:width. This means that if you were to simplify the values by a common factor, the result would always be \(\frac{3}{2} = \frac{length}{width}\).

To find three dimensions, pick any random three numbers and multiply one by one to both numerator and denominator:

\(1,2,3\\\\\frac{3}{2}(\frac{1}{1} )= \frac{3}{2} \\\\\frac{3}{2} (\frac{2}{2} )=\frac{6}{4}\\\\\frac{3}{2} (\frac{3}{3} )=\frac{9}{6}\)

Convert the given ratios to length and width:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

If you were to simplify each, the result would be 3:2.

:Done

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:x = -3 \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: CD + DE = CE\)

\(\qquad \tt \rightarrow \: x + 10 + x + 4 = 8\)

\(\qquad \tt \rightarrow \: 2x + 14 = 8\)

\(\qquad \tt \rightarrow \: 2x =8 - 14\)

\(\qquad \tt \rightarrow \: 2x = - 6\)

\(\qquad \tt \rightarrow \: x = - 3\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

\(\huge \boxed{\sf x=-3}\\\\\\\displaystyle \sf CD+DE=8 \\\\x+10+x+4=8\\\\2x+14=8\\\\Subtracting\ 14\ from\ each\ side\\\\ 2x+14-14=8-14\\\\2x=-6\\\\ Dividing\ each\ side\ by\ 2 \\\\ \frac{2x}{2} =\frac{-6}{2} \\\\x=-3\)

Answer: 66

Step-by-step explanation:

I think that is proportional

First to answer

Answer:

The answer is proportional! The pricing is consistent!

5/2 = 2.5

2.5* 3 = 7.5

Answer:

1/2 x + 800 =1200

1/2x =400

x=400/(1/2)

800 seconds

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

Here we will simplify the ratio 30:15 for you and show you how we did it.

To simplify the ratio 30:15, we find the greatest common divisor of 30 and 15, and then we divide 30 and 15 by the greatest common divisor.

The greatest common divisor that you can use to simplify 30:15 is 15. Which means the answer to ratio 30:15 simplified is: 2.1

Answer:

Step-by-step explanation:

The algebraic description of the given transformation will be 2/3 (x, y) —> (2/3 x, 2/3 y) thus, option (C) is correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given coordinate P(-9,12) and P'(-6,8)

Since, (2/3)(-9) = -6 and (2/3)(12) = 8

Thus, 2/3 (x, y) —> (2/3 x, 2/3 y) will be correct.

Hence "The given transformation will have the algebraic description 2/3 (x, y) —> (2/3 x, 2/3 y)".

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Consequently, the eigenvector of v = [1; 2] A that matches the eigenvalue

For problem 8, we have A = 0, which is a 1x1 matrix. The only entry of A is 0. Any scalar multiple of the identity matrix with the same size as A is an eigenvector of A corresponding to the eigenvalue 0. For example, if we take v = [1], then Av = 0v = [0]. Thus, v = [1] is an eigenvector of A corresponding to the eigenvalue 0.

For problem 9, we have A = [4 2; 0 4]. To find the eigenvalues of A, we need to solve the characteristic equation det(A - λI) = 0, where I is the 2x2 identity matrix:

det(A - λI) = det([4-λ 2; 0 4-λ]) = (4-λ)^2 = 0

The only eigenvalue of A is λ = 4, with algebraic multiplicity 2. To find the eigenvectors corresponding to λ = 4, we need to solve the system of equations (A - 4I)v = 0:

(A - 4I)v = [0 2; 0 0]v = [0; 0]

This system has infinitely many solutions, so we can choose any nonzero vector in the nullspace of [0 2; 0 0] as an eigenvector corresponding to λ = 4. For example, if we take v = [1; 0], then (A - 4I)v = [0; 0], and thus v = [1; 0] is an eigenvector of A corresponding to the eigenvalue 4.

For problem 10, we have A = [-1 2; 0 3]. To find the eigenvalues of A, we need to solve the characteristic equation det(A - λI) = 0:

det(A - λI) = det([-1-λ 2; 0 3-λ]) = (λ + 1)(λ - 3) = 0

The eigenvalues of A are λ = -1 and λ = 3, with algebraic multiplicities 1 and 1, respectively. To find the eigenvectors corresponding to λ = -1, we need to solve the system of equations (A + I)v = 0:

(A + I)v = [0 2; 0 4]v = [0; 0]

This system has infinitely many solutions, so we can choose any nonzero vector in the nullspace of [0 2; 0 4] as an eigenvector corresponding to λ = -1. For example, if we take v = [1; 0], then (A + I)v = [0; 0], and thus v = [1; 0] is an eigenvector of A corresponding to the eigenvalue -1.

To find the eigenvectors corresponding to λ = 3, we need to solve the system of equations (A - 3I)v = 0:

(A - 3I)v = [-4 2; 0 0]v = [0; 0]

This system has infinitely many solutions, so we can choose any nonzero vector in the nullspace of [-4 2; 0 0] as an eigenvector corresponding to λ = 3. For example, if we take v = [1; 2], then (A - 3I)v = [0; 0], and thus v = [1; 2] is an eigenvector of A corresponding to the eigenvalue

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Answer:

24 liters

Step-by-step explanation:

2×3×4

Answer:

Add 36 to each side

x = 6±sqrt(30)

Step-by-step explanation:

x^2−12x=−6

Take the coefficient of x

-12

Divide by 2

-12/2 = -6

Square it

(-6)^2 = 36

Add 36 to each side

x^2−12x+36=−6+36

( x-6)^2 = 30

Take the square root of each side

x-6 = ±sqrt(30)

Add 6 to each side

x-6+6 = 6±sqrt(30)

x = 6±sqrt(30)

Answer:

14 hamburgers

Step-by-step explanation:

The problem uses division, but we can create a proportion to see how the division works.

Since we know that Chelsea can make 1 hamburger with 0.16 pounds and allow x to represent the number of burgers Chelsea can make with 2.24 lbs of meat, we have:

\(\frac{2.24}{x}=\frac{0.16}{1}\)

\(2.24=0.16x\)

As the proportion shows, we can divide 2.24 by 0.16 to get x = 14.

Check: 0.16 lbs * 14 patties = 2.24 lbs

The probability of winning the prize if you switch is 2/3.

When you initially choose a box, there is a 1/3 chance that the prize is in your chosen box and a 2/3 chance that it is in one of the other two boxes.

When the dealer opens one of the other two boxes and shows it to be empty, the probability that the prize is in the remaining unopened box is still 2/3.

This is because the dealer has effectively given you new information that eliminates one of the two boxes you did not choose, but does not affect the probability distribution of the prize in the remaining two boxes.

Thus, if you switch to the other unopened box, you have a 2/3 chance of winning the prize, whereas if you stick with your original box, you have only a 1/3 chance of winning. Therefore, it is advantageous to switch.

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Using the concept of Unit Cost, $5.34 is Jacks` total bill for buying 3.5 pounds of carrot and 1.25 pound of broccoli.

The unit price is  measurement used to represent the price of a particular good or service to be exchanged with the customers or consumers for money. The unit price refers to the price/unit of measures, such as price per pound, quart, ounce, or other units of weight or volume of the food package.

The unit price is important for both of customers and organizations. An organization cannot sustain without unit price itself for a long period by selling products at a lower price. Similarly, customers would not be able to buy the product if the value of the product is less than the price. The researcher suggests that the unit price information helps shoppers to save around 17-18% in supermarkets when they are educated on how to actually use it.

We are given Carrot cost of per pound is $0.99.

Therefore Carrot cost for 3.5 pounds=3.5×0.99= $3.465

Similarly, Broccoli cost of per pound is $1.50.

Therefore, broccoli cost for 1.25 pounds =1.25×1.50=1.875

Total bill = Broccoli cost+ Carrot cost

Total bill =3.465+1.875=$5.34

Hence,$5.34 is Jacks` total bill for buying 3.5 pounds of carrot and 1.25 pound of broccoli.

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Solution

To solve this problem, we only need to equate and solve for H

The American Housing Survey is conducted annually by the Bureau of the Census to gather data on the distribution of occupied housing units in the United States.

Using data from the 2003 survey, the distribution of occupied housing units by the number of rooms can be found. To visualize this data, histograms can be drawn separately for owner-occupied and renter-occupied units.

It is important to note that "10 or more" mean 10 or 11, as very few units have more than 11 rooms.

(a) The This could be due to rounding errors or differences in sample sizes between the two groups.

(b) The percentage of one-room units is much smaller for owner-occupied housing. This is not necessarily because there are more owner-occupied units in total, but could be due to differences in the length preferences and financial means of renters versus owners.

(c) It is unclear which group, on the whole, has larger units without additional information about the distribution of rooms.

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If there are four possible outcomes, only two logical tests are required. They are often used in if-else statements and loops to control program flow. Understanding logical tests is essential for anyone who wants to learn programming or problem-solving.

Logical tests are used to determine whether a certain condition is true or false. In this case, with four possible outcomes, we need to test each outcome against another outcome. For example, we can test Outcome 1 against Outcome 2, Outcome 1 against Outcome 3, Outcome 1 against Outcome 4, Outcome 2 against Outcome 3, Outcome 2 against Outcome 4, and Outcome 3 against Outcome 4.

Logical tests are a fundamental concept in computer programming and problem-solving. They are used to evaluate conditions and make decisions based on the results. In some cases, logical tests can be used to determine the number of possible outcomes in a given situation. For example, if there are four possible outcomes, we can use logical tests to determine how many tests are required to cover all possibilities. In this case, we need to test each outcome against another outcome to see if they are different. This gives us a total of six tests. However, we can eliminate half of these tests because they are duplicates. Therefore, we only need to perform two logical tests to cover all four possible outcomes. Logical tests are commonly used in computer programming to evaluate conditions and make decisions based on the results.

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ST is invertible, and its inverse is given by (ST)⁻¹ = T⁻¹S⁻¹.

T⁻¹ is a linear map from V to U.

S⁻¹ is a linear map from W to V.

To prove that the composition of two invertible linear maps, ST ∈ L(U, W), is also invertible, we need to show that (ST)⁻¹ exists and is equal to T⁻¹S⁻¹.

First, let's consider the inverse of ST. We want to find a linear map that undoes the effects of ST. Notice that if we apply the map ST to a vector in U, we can reverse the process by applying the inverse maps S⁻¹ and T⁻¹ in the reverse order to the resulting vector. This means that applying S⁻¹T⁻¹ to ST(u) will give us back u, the original vector in U. Therefore, we can say that (ST)⁻¹ = T⁻¹S⁻¹.

Now, we need to show that T⁻¹ and S⁻¹ are both linear maps from W to U and V, respectively.

T⁻¹: Since T is an invertible linear map from U to V, we know that T⁻¹ exists and is a linear map from V to U. Therefore, T⁻¹ ∈ L(V, U).

S⁻¹: Similarly, since S is an invertible linear map from V to W, we know that S⁻¹ exists and is a linear map from W to V. Therefore, S⁻¹ ∈ L(W, V).

Now, let's consider the composition of T⁻¹ and S⁻¹, (T⁻¹S⁻¹):

(T⁻¹S⁻¹)(ST) = T⁻¹(S⁻¹S)T

Since S⁻¹S is the identity map on V and T⁻¹T is the identity map on U, we have:

(T⁻¹S⁻¹)(ST) = T⁻¹(T) = I

Similarly, we can show that (ST)(T⁻¹S⁻¹) = I.

This proves that (ST)⁻¹ exists and is equal to T⁻¹S⁻¹. Therefore, ST is invertible.

ST is invertible, and its inverse is given by (ST)⁻¹ = T⁻¹S⁻¹.

T⁻¹ is a linear map from V to U.

S⁻¹ is a linear map from W to V.

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The sum of the expressions 8x - 2 and - 3x² - 7 is, - 3x² + 8x - 9.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.

Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.

Given, Two expressions, 8x - 2 and - 3x² - 7.

Now, Sum implies adding.

Therefore, The sum of 8x - 2 and - 3x² - 7 is,

(8x - 2) + (- 3x² - 7).

= - 3x² + 8x - 2 - 7.

= - 3x² + 8x - 9.

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