standard deck of 525252 cards contains 444 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 222 through 101010, a jack, a queen, a king, and an ace.

Bashir decides to pick one card at random from a standard deck of 525252 cards. Let FFF be the event that he chooses a face card (a jack, queen, or king of any suit) and SSS be the event that he chooses a spade.

What is P(F\text{ or }S)P(F or S)P, left parenthesis, F, start text, space, o, r, space, end text, S, right parenthesis, the probability that the card Bashir chooses is either a face card or a spade?

Answer:

0.5 minutes

Step-by-step explanation:

Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.

h = 32−14m

25 = 32−14m ... subtract both sides by 32

-7 = -14m ... divide both sides by -14

0.5 = m

Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.

Solution:

The cost of the Camera is $540

The sales tax is 7.2%

To find the tax charge, the formula is

Substitute into the formula above

Hence, the tax charged is $38.88.

The total cost of the Camera will be

Hence, the total cost of the Camera is $578.88

54 is more than 30 by 14

Subtraction is an arithmetic operation that represents the operation of removing a number from another number. Subtraction is represented by the minus sign,

Other arithemetic operations are addition, multiplication and division.

The mathemetical properties that it follows is Identity Property. ...

Commutative Property and Associative Property.

Let the number by how much 30 is less than 54 be x,

then

30 + x = 54

x = 54 - 30

x = 14

Therefore, 30 is less than 54 by 14

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Answer:

The practice of using brass rings to stretch the neck, also known as neck elongation or neck stretching, is traditionally associated with the Padaung ethnic group from Myanmar (formerly known as Burma).

From a sociological perspective, the use of brass rings to stretch the neck can be seen as an example of deviance, which refers to behavior that violates social norms and expectations. Deviance can be either criminal or non-criminal, depending on the specific behavior in question and the cultural context in which it occurs.

In the case of Padaung women, the use of brass rings to elongate the neck is a form of non-criminal deviance, as it does not violate any laws. However, it does violate cultural norms and expectations in many other societies, where elongated necks are not seen as desirable or attractive.

Therefore, the practice of neck elongation among Padaung women can be seen as a form of cultural deviance, in which members of a particular group engage in behavior that is not considered acceptable or desirable by the larger society in which they live. At the same time, it can also be seen as an expression of cultural identity and tradition, as the practice has been passed down through generations and is an important part of Padaung culture and heritage.

Answer:

The value of AB is 14

Step-by-step explanation:

When we say a set of points are collinear, what we mean is that those points are on the same straight line i.e they lie on a straight line.

Now B is between A and C

Since B is between A and C

Then mathematically;

AC = AB + BC

18 = AB + 4

AB = 18-4

AB = 14

Based on the segment addition theorem, the value of AB would be: 14.

Given that three points, A, B, and C are collinear, where b is between points A and C, the segment addition theorem states that, AB + BC = AC.

Given:

Thus:

AB + 4 = 18 (segment addition theorem)\

AB = 18 - 4

AB = 14

Thus, based on the segment addition theorem, the value of AB would be: 14.

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Answer:y + 6 = 1/3 (x - 4)  

Step-by-step explanation:Replace the second y (y1) and the 2nd x (x1) with the new points and then -3 become 1/3 due to perpendicular meaning opposite reciprocal (2/3 reciprocal is 3/2 and the opposite would be its negative, -3/2, for example

Answer:

x = 9/5 y - 4/5

Step-by-step explanation:

Make x the subject:

9y - 5x =4

Subtract 9y from each side

9y-9y - 5x =-9y+4

-5x = -9y +4

Divide each side by -5

-5x/-5 = -9y/-5 + 4/-5

x = 9/5 y - 4/5

Answer:

x = (9/5)y - (4/5)

Step-by-step explanation:

Given equation,

→ 9y - 5x = 4

Solving for the required value of x,

→ 9y - 5x = 4

→ -5x = -9y + 4

→ x = (-9y + 4)/-5

→ [ x = (9/5)y - (4/5) ]

Hence, value of x = (9/5)y - (4/5).

The diameter of the circle is 12.5 inches

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: 157 breaks required to make a circular garden and cover the boundary.

Now each brick is 4 inches long

Thus total length of the circumference of the circular garden we get

157/4=39.25 inches long

Thus the circumference of the circle is given by

2πr=39.25

2r=39.25/3.14

d=12.5 inches

Thus the diameter is 12.5 inches.

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Answer:

15%

Step-by-step explanation:

profit=sp -cp

cp=sp-profit

=17250-2250

=15000

profit%= profit amount/cp *100%

=2250/15000×100

= 15

Answer:

Step-by-step explanation:

Given,

SP ( Selling price ) = Rs 17250

Profit ( P ) = Rs 2250

CP ( Cost price ) = Rs 17250 - Rs 2250 = Rs 15000

Now, let's find the profit / gain percentage :

Profit % = \( \sf{ \frac{profit}{cost \: price} \times 100\%}\)

plug the values

⇒\( \sf{ \frac{2250}{15000} \times 100\%}\)

Calculate

⇒\( \sf{15\%}\)

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

▪\( \underline{ \underline{ \sf{ \blue{What \: is \: the \: formula \: to \: find \: profit \: percent \: and \: loss \: percent?}}}}\)

We know that , profit and loss are calculated on cost price ( CP ). So, profit percent and loss percent can be calculated by using the following formula :

\( \boxed{ \sf{Loss\% \: = \frac{cp - sp}{cp} \times 100\%}}\)

\( \boxed{ \sf{ \bold{Profit\% \: = \: \frac{sp \: - \: cp}{cp} \times 100}}}\)

Hope I helped!

Best regards!!

Answer:

134.375

Step-by-step explanation:

Area Lawn = 625

Area Circle = pi r^2

d = 25/2=12.5

Area of the circle = 3.14 * 12.5^2

Area of the circle = 490.625

Unwatered part = 625 -490.625 = 134.375

The entry in the transition matrix that gives the annual birthrate of chicks per adult is 1.25.

(a) In the given transition matrix, the entry 1.25 represents the annual birthrate of chicks per breeding adult. This means that, on average, each breeding adult produces 1.25 chicks per year.

(b) If 0 ≤ s < 0.4, the species will become extinct. This is because the value of s represents the proportion of chicks that survive to become adults. If the survival rate of chicks is less than 40%, the population of breeding adults will continuously decrease over time. With fewer breeding adults, there will be a decline in the number of chicks being born each year. Eventually, the population will reach a point where there are not enough breeding adults to sustain the species, leading to extinction.

(c) If s = 0.4, the population will stabilize at a fixed size in the long term. To determine this fixed size, we need to find the stable population vector by solving the equation A * X = X, where A is the transition matrix and X is the population vector. In this case, the population vector will have two components, one for the number of breeding adults and one for the number of juvenile chicks.

By solving the equation, we can find the stable population vector. Let's denote the stable population vector as [X1, X2]. Using the given transition matrix, we have:

X1 = 0 * X1 + 1.25 * X2

X2 = 0.5 * X1 + 0 * X2

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Brianna has 15 flowers and she wants to put them in her planters. She has 1 z planter and wants to know how many flowers can fill 1 planter.

To find out how many flowers can fill 1 planter, we need to know how many planters Brianna has. From the given information, we know that Brianna has 1 z planters. However, we don't know how many planters Brianna has in total.

We can solve the question using algebra.

Let's assume that Brianna has a total of x planters.

If 15 flowers fill 1 z planter, then we can say that x planters can be filled with (15/x) z planters.

Now, we want to know how many flowers fill 1 planter. We can set up a proportion using the information we have:

15 flowers / 1 z planter = x planters / (15/x) z planters

To solve for x, we can cross-multiply:

15 * (15/x) = x

225/x = x

x^2 = 225

x = √225

x = 15

Therefore, Brianna has 15 planters and each planter can be filled with 1 flower.

In conclusion, Brianna has 15 flowers and 15 planters, and each planter can be filled with 1 flower.

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Answer:

193.8

Step-by-step explanation:

a = 3.8 times 10^13 = 38,000,000,000,000

b = 5.1 times 10^-12 = 0.0000000000051

a times b = 193.8

The total balance of the investment will be $734.47

From the question, we have the following parameters that can be used in our computation:

Principal amount, P = 720

Compound rate = 1%

Number of times, n = 1

Time, t = 2 years

using the above as a guide, we have the following:

Total Balance = P(1 + r/n)nt

Substitute the known values in the above equation, so, we have the following representation

Total Balance = 720 * (1 + 1%)²

Evaluate

Total Balance = 734.472

Hence, the total balance will be $734.47

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The slope of the line = change in y / change in x = 4/3.

The slope of a line is the rise over the run, which is the change in y/change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\)

To calculate the slope of the line that is given, chose any two points on the line as plotted in the given graph, say:

(30, 20) = \((x_1, y_1)\)

(60, 60) = \((x_2, y_2)\)

Substitute each of these values into the slope formula, \(\frac{y_2 - y_1}{x_2 - x_1}\):

Slope for the given line (m) = (60 - 20)/(60 - 30)

Slope for the given line (m) = 40/30

Slope for the given line (m) = 4/3.

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Answer:

xx

Step-by-step explanation:

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer:

Option C is the correct option.

Step-by-step explanation:

For ABD

\( \sf{ = \frac{2.89 + 8.59 + 8.6}{2} }\)

\( \sf{ = \frac{20.08}{2} }\)

\( \sf{ = 10.04}\)

∆ ABD = \( \sf{ = \sqrt{10.04(10.04 - 2.89)(10.04 - 8.59)(10.04 - 8.6)} }\)

\( \sf{ = \sqrt{10.04 \times 7.15 \times 1.45 \times 1.44 }}\)

\( \sf{ = \sqrt{149.8891} }\)

\( \sf{ = 12.2429}\)

For ∆ ACD ,

\( \sf{s = \frac{8.6 + 4.3 + 7.58}{2} }\)

\( \sf{ = \frac{20.48}{2} }\)

\( \sf{ = 10.24}\)

∆ ACD = \( \sf{ = \sqrt{10.24(10.24 - 8.6)(10.24 - 4.3)(10.24 - 7.58} }\)

\( \sf{ \sqrt{10.24 \times 1.64 \times 5.94 \times 2.66} }\)

\( \sf{ = \sqrt{265.3456} }\)

\( \sf{ = 16.2894}\)

Area of quadrilateral ABCD = \( \sf{12.2429 + 16.2894}\)

\( \sf{ = 28.5323}\)

\( \sf{ = 28.53}\) units ²

Hope I helped!

Best regards!

In statistical analysis, a hypothesis refers to a tentative explanation or prediction that is based on limited evidence and is subject to further investigation and testing. It is a statement that can be either true or false, and is typically formulated in such a way that it can be tested using statistical methods.

The hypothesis is often used to guide the research process, to help identify potential patterns or relationships in the data, and to evaluate the significance of the results.

Overall, the hypothesis plays a critical role in statistical analysis, as it provides a framework for understanding and interpreting data, and helps to ensure that research findings are reliable and valid.

A hypothesis in the context of statistical analysis is a tentative explanation or prediction about the relationship between two or more variables, which is subject to testing and empirical evaluation using statistical methods.

It is a statement that can be either true or false, and it is usually formulated in terms of the expected direction and strength of the relationship between the variables of interest.

The hypothesis is typically derived from existing theory, prior research, or common sense, and it serves as a guide for the collection, analysis, and interpretation of data in a scientific study.

The process of testing a hypothesis involves setting up null and alternative hypotheses, selecting an appropriate statistical test, collecting and analyzing data, and drawing conclusions based on the results of the analysis.

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Answer:

700π m ~ 2199 m

Step-by-step explanation:

diameter = d = 200 m

2 min 20s = 140 s

1 round / 40 s

140 = 40 * 3 + 20

so the athlete will cover 3 round and half

1 round = d * π

covered = c = 3 * 200 * π + 200/2 * π = 700 * π

For the matrix the true statement is given by option d. Both A and B are false.

Let's analyze each statement of the matrix as follow,

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.

This statement is false.

The domain of the transformation T is not R⁵.

The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.

Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.

Therefore, the domain of T is R⁵, but rather a subspace of R⁵.

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.

This statement is also false.

The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.

The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.

It is possible for a 3 times 2 matrix to have a rank of 2,

and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.

Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.

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The above question is incomplete, the complete question is:

Which of the following best characterizes the following statements:

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto

a. Only A is true

b. Only B is true

c. Both A and B are true

d. Both A and B are false

The axis of symmetry is the one in option D, x = 2-

For a quadratic equation whose vertex is (h, k), the axis of symmetry is:

x = h

Here we have the quadratic equation:

y = −3(x − 2)² +1

We can see that the vertex is (2, 1) because the equation is in vertex form, and thus, we can conclude that the axis of symmetry of the equation is:

x = 2

So the correct option is D.

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Answer:

$9.25

Step-by-step explanation:

2.75+ .5(13)

.50 (13)= 6.5

6.5 +2.75= 9.25

Answer:

516

Step-by-step explanation:

to solve this equation, multiply both sides by 4

a/4 * 4 = 129 * 4

a = 516

Answer:

a= 516

Step-by-step explanation:

a= 129*4

4*129 = 516

\(v = 905 \: {cm}^{3} \)

the radius of the given ball (sphere).

\(r = \sqrt[3]{ \frac{3v}{4\pi} } \)

\(r = \sqrt[3]{ \frac{3 \times 905}{4\pi} } \)

\(r = 6 \: cm\)

therefore, the radius of the ball is 6 cm.

note: refer to the picture I added on how you can change r as the subject of the formula.

\(r = (3 \frac{v}{4\pi} {)}^{ \frac{1}{3} } \)

\(r = (3 \times \frac{905}{4 \times \pi} {)}^{ ^{ \frac{1}{3} } } \)

\(r = 6.00049 \: cm\)

\(r = 6 \: cm\)

Hence, the radius of the beach ball is 6 centimeters.

Note: please refer to the attachment.

Answer:

Theresa's height is 60 inches

Step-by-step explanation:

The given parameters are;

The height of Paul = The height of Steve

Paul's height = \(1\dfrac{1}{2}\) times Theresa's height - 16 inches

Steve's height = \(1\dfrac{1}{3}\) times Theresa's height - 6 inches

Let 'T' represents Theresa's height, we have;

Paul's height = \(1\dfrac{1}{2}\) ×T - 16

Steve's height = \(1\dfrac{1}{3}\) ×T - 6

Paul's height = Steve's height

Therefore;

\(1\dfrac{1}{2}\) ×T - 16 = \(1\dfrac{1}{3}\) ×T - 6

\(1\dfrac{1}{2}\) ×T - \(1\dfrac{1}{3}\) ×T = 10

\(#\dfrac{3}{2}\) ×T - \(\dfrac{4}{3}\) ×T = 10

\(\dfrac{1}{6}\) ×T = 10

T = 10 × 6 = 60

Theresa's height, T = 60 inches

The wood flooring for the floor will cost $14,175.

To calculate the cost of replacing the wooden floor at Greg's gym, we first need to find the area of the rectangular floor. The area of a rectangle can be found using the formula: area = length × width. In this case, the length is 45 feet and the width is 35 feet.

Area = 45 feet × 35 feet = 1575 square feet

Since the cost of wood flooring is $9 per square foot, we can now calculate the total cost:

Total cost = area × cost per square foot = 1575 square feet × $9/square foot = $14,175

So, the wood flooring will cost Greg $14,175 to replace the floor at his gym.

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Answer:

whats the question sir

Step-by-step explanation:

can you show me it like type it for me

If the cpi increases from 135 in 2006 to 154 in 2007, the rate of inflation between 2006 and 2007 is 14.1

We have the past date cpi to be 135

We have the present date cpi = 154

Then we have to subtract the past date from the present and divide the answer by the past date.

This can be seen as

154 - 135 = 19

19 / 135 = 0.1407

Then the rate of inflation would be 0.1407 x 100

= 14.1

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