How much is $100 U.S. dollars in Indian rupees?

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

\(\sqrt{22}\)

Step-by-step explanation:

\(\frac{(5-\sqrt{3})(5+\sqrt{3})}{\sqrt{22}} \\ \\ =\frac{5^2-3}{\sqrt{22}} \\ \\ =\frac{22}{\sqrt{22}} \\ \\ =\sqrt{22}\)

The Solution of the Expression is √22

Expressions in math are mathematical statements containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Given,

Let the given expression x

\(x = \frac{(5 + \sqrt{3})(5 - \sqrt{3} )}{\sqrt{22} }\)

Simplifying the expression,

\(x = \frac{(5)^{2} + (\sqrt{3})^{2}}{\sqrt{22} }\)

Multiplying the numerator ,

\(x = \frac{(5)^{2} - (\sqrt{3})^{2}}{\sqrt{22} }\)

Opening square brackets,

\(x = \frac{25 - 3}{\sqrt{22} }\)

\(x = \frac{22}{\sqrt{22} }\)

\(x = \frac{(\sqrt{22})^{2}}{\sqrt{22} }\)

Cancelling √22 from numerator and denominator

\(x = \sqrt{22}\)

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When a plane intersects only one nappe of a double-napped cone such that it is parallel to a generating line, it forms a parabola.

When a plane intersects only one nappe of a double-napped cone parallel to a generating line, it forms a conic section known as a parabola. This is because a parabola is defined as the set of all points that are equidistant to a fixed point (known as the focus) and a fixed line (known as the directrix).

When a plane intersects a double-napped cone parallel to a generating line, it intersects all the generatrices at the same angle, resulting in a curve that is symmetric and opens in one direction. This curve is a parabola, and it is commonly found in nature, such as the path of a thrown ball, the shape of a satellite dish, or the reflector of a car's headlights.

The properties of a parabola make it useful in various fields, including optics, physics, and engineering, where it is used to model and analyze a wide range of phenomena, such as the trajectory of projectiles, the behavior of lenses and mirrors, and the design of antennas and reflectors.

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Below is a graph with lines 1: y - 1 = -3(x - 2) and 3: y = x - 9.

Given that:

Equation, y - 1 = -3(x - 2) and 3y = x - 9

As stated, the linear equation is:

x/a + y/b = 1

Where "a" denotes the line's x-intercept and "b" its y-intercept.

The equations should be changed to intercept form.

y - 1 = -3(x - 2)

y - 1 = - 3x + 6

3x + y = 7

x /(7/3) + y / 7 = 1

3y = x - 9

x - 3y = 9

x / 9 - y / 3 = 1

The graph's lines are drawn below.

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The percentage of the total sum of the squares that can be accounted for by the estimation of regression is 51.3% when it is taken in three decimal points by the regression equation.

The regression equation is used to find one variable from another known variable. There are two types to find the regression equation they are:

1. Regression equation by using simultaneous equation 2. Regression line

The regression equation can be found by the be calculated by the sums of squares by the the sample of correlation coefficient that is 0.716. The amount of variation is taken by the total variation that is interpreted and is denoted by 'r', the sum of squares can be calculated by 1-SSE/ SST=(SST/SST = SSR/SST. When it comes to the product volume then the percentage is 93.64% where it also includes the product cost and variable cost of the product.

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Answer:

G) 1.12

Step-by-step explanation:

In the adjoining star shaped figure,prove that : angle A + angle B + angle C + angle D + angle E = 180°

Answer:

G

1.12

Step-by-step explanation:

because 2.8*0.4

if multiplied , it will give 1.12

which is the answer

The solution of the system of equations that is given is (2,-1).

Given a system of equations are 5x+y=9 and 3x+2y=4.

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.  A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.

The given equations are

5x+y=9    ......(1)

3x+2y=4  ......(2)

Here, the substitution method is used to solve the system of equations.

Find the value of y from equation (1) by subtracting 5x from both sides.

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

y=9-5x

To find the value of x substitute the value of y in equation (2).

3x+2(9-5x)=4

Apply the distributive property a(b+c)=ab+ac as

3x+2×9-2×5x=4

3x+18-10x=4

Combine the like terms on the left side as

-7x+18=4

Subtract 18 from both sides and get

-7x+18-18=4-18

-7x=-14

Divide both sides by -7 and get

(-7x)÷(-7)=(-14)÷(-7)

x=2

Substitute the value of x in equation (1) and get

5(2)+y=9

10+y=9

Subtract 10 from both sides

10+y-10=9-10

y=-1

Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).

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The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

where c is a constant.

The solution to the question is shown below.

Step 1: We have given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

We have to find the number of words we have to write to express this function in words.

Step 2: Solution

f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶

Where,

et5+4t = exponential function

ln(t²+3c)⁷ = natural logarithmic function

te-1 = linear function

e⁶ = exponential function

Therefore, f(t) can be expressed in words as:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Step 3: Conclusion

Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

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Answer:

(e) It means that your grade is 2 standard deviations above the mean for this exam.

Step-by-step explanation:

Z-score describes the number of standard deviations away from the mean. In this case, a z-score of +2.0 would be 2 standard deviations above the mean.

Answer:

if this is division it's 1.2.

Step-by-step explanation:

just divide it of its division if not sorry

Answer:

1.2

Step-by-step explanation:

The following function is not continuous at a = 8 because lim f(x) does not exist.

Therefore, the correct options are (c) only.

Here is a justification:

To justify whether the given function is continuous at x = 8 or not, we have to check the following three conditions of continuity.

The continuity checklist is as follows:

lim f(x) must exist,f(a) must be defined,lim f(x) = f(a).

Now, let's apply the above conditions one by one at x = 8:

lim f(x) must exist:

Let us try to find the value of the limit of the given function at x = 8:

lim [x² - 64]/[x - 8]x → 8= 0/0, which is an indeterminate form.

The function is not continuous at a = 8 because lim f(x) does not exist.

f(a) must be defined:

Since the function is defined for x ≠ 8 and x = 8, we have f(8) = 1..

Therefore, f(a) is defined.

lim f(x) = f(a):

Since lim f(x) does not exist, the third condition of continuity is violated.

Hence, the given function is not continuous at a = 8.

The option c, "the function is not continuous at a = 8 because lim f(x) does not exist" is correct.

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Answer:

algebraic expressions

The correct graph to display the data is the first one: a bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled tennis going to a value of 17, the second bar labeled soccer going to a value of 12, the third bar labeled baseball going to a value of 27, and the fourth bar labeled basketball going to a value of 44.

We are given that;

The four graphs of the data

Now,

A bar graph is appropriate for categorical data, such as sport, where each category is distinct and has no inherent order. A histogram is appropriate for numerical data, such as height or weight, where the data is grouped into intervals that have equal width and are ordered from lowest to highest. A histogram has no gaps between the bars, while a bar graph has gaps to show that the categories are separate.

The order of the bars in a bar graph does not matter, as long as they match the labels. The order of the bars in a histogram does matter, as they reflect the order of the intervals. The second and fourth graphs are histograms and not suitable for this data. The third graph is a bar graph but has the wrong labels for the bars, so it does not match the data either.

Therefore, the graph will be of option 1.

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Answer:

3,150

Step-by-step explanation:

600 x 5= 3000

600 ÷ 24= 25

25 x 6= 150

Add 3000 + 150= 3150

Answer:

3240

Step-by-step explanation:

600 watt-hour per day.

In 5 days and 6hrs or 5.4 days consumes

600*5.4=3240

Answer:

Option A, 86°

Step-by-step explanation:

each diagonals of a rhombus divides the angles at half, so a+b+c+d = 360°/2 = 180°

now, a+b+c+d-94° = 180°-94° = 86°

Answer:

D 266°

Step-by-step explanation:

a+b+c+d-94°

90°+ 90°+ 90°+ 90° -94°

360°-94°

266°

The answer is no solution.

Eigenvectors are essential in understanding the behavior of linear transformations and are used in various applications, such as determining stable configurations, analyzing dynamic systems, and solving differential equations.

(a) An eigenvalue of a square matrix A is a scalar λ such that when A is multiplied by a corresponding eigenvector x, the result is a scalar multiple of x. Mathematically,

A × x = λ × x

where λ is the eigenvalue and x is the eigenvector associated with that eigenvalue.

(b) An eigenvector of a square matrix A is a non-zero vector x that satisfies the eigenvalue equation mentioned above. In other words, when A is multiplied by an eigenvector x, the result is a scalar multiple of x.

The eigenvector represents the direction in which the linear transformation defined by the matrix A stretches or contracts. Eigenvectors are unique up to a scalar multiple, meaning that if x is an eigenvector, then any non-zero scalar multiple of x is also an eigenvector associated with the same eigenvalue.

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Answer:

208 or 104

Step-by-step explanation:

Answer:

The number is 13

Step-by-step explanation:

the equation:

\(2x-6=20\)

The solution.

\(2x=20+6\)

\(x=\frac{26}{2} =13\)

Hope this helps

I think the answer is

22.5 meter

it is because 7.5 meter ×4=30m

so 7.5+7.5+7.5=22.5 m

you just have to bring 2 to 8 and 5 to 1 so change side like if its 2 than it will be minus 2 on the other side when your moving it with 3

Answer:

B. negative

Step-by-step explanation:

since it is sloped downward

Answer:

\( C = \dfrac{5}{9}(F - 32) \)

Step-by-step explanation:

\( F = \dfrac{9}{5}C + 32 \)

Switch sides to have C on the left side.

\( \dfrac{9}{5}C + 32 = F \)

Subtract 32 from both sides.

\( \dfrac{9}{5}C = F - 32 \)

Multiply both sides by 5/9.

\( \dfrac{5}{9} \times \dfrac{9}{5}C = \dfrac{5}{9} \times (F - 32) \)

\( C = \dfrac{5}{9}(F - 32) \)

Answer:

16 (D)

Step-by-step explanation:

(-1/2) = -0.5

-0.5^-4 = 16

Answer:

Step-by-step explanation:

tha ratio is

15 +21 : 20 + 10 + 42 and simplified is 36 : 72 = 1 : 2

answer: the first one

Answer: The amount of paint needed to cover a wall

Step-by-step explanation: