how to do theoretical probability on calculator

Step-by-step explanation:

96/x =48%/100

48x=9600

x=9600/48

x=200 cakes

The probability of a random sample of 80 households having a sample means a number of at least 2.55 televisions per household is 0.48173.

Given: Mean(μ) = 2.24, Standard deviation(σ) = 1.38, Sample size(n) = 1.28 and a random variable for X = 2.55

The formula to calculate the z-score from the mean. The standard deviation is:

z = (X - μ) / ( σ / √(n)) where,

z = z-score,

X = random variable,

μ = mean,

σ = standard deviation, and

n = sample size

Let's solve the given question:

We have,

Mean(μ) = 2.24,

Standard deviation(σ) = 1.38,

Sample size(n) = 80, and

a random variable for X = 2.55

As it is given sample means at least 2.55 so we have to find the Z(x ≥ 2.55).

Therefore, Z(x ≥ 2.55) = (2.55 - μ) / ( σ / √(n))

Substituting all values we get:

Z(x ≥ 2.55) = (2.55 - 2.24) / ( 1.38 / √(80))

Z(x ≥ 2.55) = 0.01 / 0.21819

Z(x ≥ 2.55) = 0.48173

Hence the probability of a random sample of 40 households having a sample means a number of at least 2.55 televisions per household is 0.48173.

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Answer:

I believe the answer to be 5 and 4

The exterior angles of the given triangle are angles 4 and 5

A triangle is a polygon with three sides, angles and vertices.

Given that, a triangle, with angles, 1, 2, 3, 4, 5 we need to find the exterior angles,

An exterior angle of a polygon is the angle that lies outsides of the polygon,

Here, we can see, that only two angles 4 and 5 lies outsides of the triangles

Therefore, the exterior angles are 4 and 5

Hence, the exterior angles of the given triangle are angles 4 and 5

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Answer:

10 ft 2

Step-by-step explanation:

A=a+b2h=3+72·2=10

By counting all the even 2-digit numbers between 10 and 100, there are 41 even and distinct digits.

An even number can be defined as a type of number which is divisible by two (2) without any remainder.

Since this 2-digit numbers are even and its digits are distinct, we can infer and logically deduce the following points:

By counting all the even 2-digit numbers between 10 and 100, there are 41 even and distinct digits.

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Answer:

To get to "standard" scientific notation, we move the decimal point so there is only one non-zero digit in front of the decimal point. So, 3,000,000 becomes 3.000,000 . The trailing zeroes are not significant, so 3.000,000 becomes 3 .

Ince the square root of a negative number is imaginary, the function F(x) has no real x-intercepts. The graph of the function F(x) intersects the x-axis at no points, which means it does not cross the x-axis.

In mathematics and computer programming, a function is a rule that takes one or more inputs (also called arguments or parameters) and produces a corresponding output. The output is determined by the function's algorithm, which can be a mathematical expression, a set of logical operations, or any other process that transforms the inputs into the desired output.

Given by the question.

The function F(x) is a quadratic function, which means it is a function of the form:

F(x) = a\(x^{2}\)+ bx + c

where a, b, and c are constants.

In this case, a = 3, b = -1, and c = 2. So, we can write:

F(x) = 3\(x^{2}\) - x + 2

This function has a graph that is a parabola that opens upwards, since the coefficient of x^2 is positive (3). The vertex of the parabola is at the point (-b/2a, F(-b/2a)), which in this case is at the point:

(-(-1)/ (2(3)), F (1/6)) = (1/6, F (1/6))

To find the x-intercepts of the graph, we need to solve the equation F(x) = 0:

3\(x^{2}\) - x + 2 = 0

We can use the quadratic formula to solve for x:

x = (-b ± \(\sqrt{b^{2}-4ac }\)) / 2a

Plugging in the values of a, b, and c, we get:

x = (1 ± \(\sqrt{1-4(3)(2)}\)) / 2(3)

x = (1 ± \(\sqrt{1-24}\)) / 6

x = (1 ±\(\sqrt{-23}\)) / 6

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The statement "Rational expressions contain exponents" is sometimes true.

Sometimes true - ExplanationRational expressions are those expressions which can be written in the form of fractions with polynomials in the numerator and denominator. Exponents can appear in the numerator, denominator, or both of rational expressions, depending on the form of the expression. Therefore, it is sometimes true that rational expressions contain exponents, and sometimes they do not.For example, the rational expression `(x^2 + 2)/(x + 1)` contains an exponent of 2 in the numerator. On the other hand, the rational expression `(x + 1)/(x^2 - 4)` does not contain any exponents. Hence, the given statement is sometimes true.

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The function f can be implemented using a single 4-to-1 multiplexer and two inverters.

A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.

To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.

First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.

By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.

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Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

To calculate the Ideal Mechanical Advantage (IMA) of a screwdriver, we can use the formula: IMA = (radius of the screwdriver handle) / (radius of the screwdriver shaft).

Given that the shaft radius is 4 mm and the handle radius is 12 mm, we can substitute these values into the formula: IMA = 12 mm / 4 mm

IMA = 3.

Therefore, the Ideal Mechanical Advantage (IMA) of the screwdriver is 3. This means that for every unit of effort applied, the screwdriver can exert three times the force on the screw being turned. The IMA indicates the mechanical advantage provided by the screwdriver, allowing for easier and more efficient turning of screws.

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Answer:

2

Step-by-step explanation:

Hahaha thank you

Answer:

2

Step-by-step explanation:

1 plus 1 is two use ur fingers

Answer:

y=17.50x

Step-by-step explanation:

In this case Y is his total income for the number of hours he works. X is the number of hours he works. 17.50 is his hourly income

The equation to represent the given phrase is y= 17.50x.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Max gets paid $17.50 hourly for his job.

Let the total income of Max be y and the income Max gets paid hourly be x.

Now, the equation is

y= 17.50x

Therefore, the equation is y= 17.50x.

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The Mean for June 2006 and 2005 is  $345,909 and $335,977 respectively. The median for June 2006 and 2005 is $254,000 and $139,000 respectively, there's no mode in this question.

In statistics, the mean, mode, and median are three measures of central tendency that describe a set of numerical data.

The mean is the average of a set of numbers, calculated by adding up all the values and dividing by the number of values. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the mean is (1 + 2 + 3 + 4 + 5) / 5 = 3.

The mode is the value that appears most frequently in a set of data. For example, if a set of data contains the values {1, 2, 2, 3, 4, 4, 4, 5}, the mode is 4, because it appears three times, which is more than any other value.

The median is the middle value in a set of data when it is ordered in ascending or descending order. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the median is 3, because it is the middle value. If there is an even number of values, then the median is the average of the two middle values.

It is important to note that different sets of data may have different measures of central tendency, and sometimes none of these measures may be appropriate.

Measures of central tendency are used to summarize and describe a set of data. The most common measures of central tendency are the mean, median, and mode.

1. Mean:

• Mean for June 2006: (508+435+538+913+367+033+254+240+137+022+160+548+260+458+358+035+222+879+136+371+127+586+201+316)/22 = $345,909

• Mean for June 2005: (422+843+469+588+245+803+199+409+132+054+139+728+254+725+345+065+210+740+134+334+125+455+184+853)/22 = $335,977

2. Median:

• Median for June 2006: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $254,000

• Median for June 2005: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $139,000

3. Mode:

• Mode for June 2006: There is no mode, because no value is repeated.

• Mode for June 2005: There is no mode, because no value is repeated.

Conclusions:

• The mean housing price in June 2006 is higher than the mean housing price in June

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1.  The option D) SSRIs, The greatest success in treating major depression has been observed with the use of selective serotonin reuptake inhibitors (SSRIs).

These drugs are a type of antidepressant that work by increasing the levels of serotonin in the brain. SSRIs are considered to be the most effective medication for the treatment of depression, particularly in the long-term.

2.  the option B) delusion of reference ,A belief that an individual is being singled out for attention is known as delusion of reference. Delusions are a common symptom of schizophrenia and other psychotic disorders.

A delusion of reference is characterized by the belief that everyday events or objects have a special meaning that is directed specifically towards the individual. For example, an individual with this delusion may believe that the radio is broadcasting a message meant for them or that strangers on the street are staring at them because they are part of a conspiracy.

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Answer:

6

Step-by-step explanation:

Number of water bottles bought by Sylvia = 24

Number of water bottles sold by Sylvia = \(x\)

Number of water bottles left with Sylvia = \(24-x\)

Number of water bottles bought by Sam = 36

Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold = \(3x\)

Number of water bottles left with Sam = \(36-3x\)

It is given that the number of water bottles left with Sylvia and Sam are equal.

i.e.

\(24-x=36-3x\\\Rightarrow 2x=12\\\Rightarrow x =\bold{6}\)

So, number of water bottles sold by Sylvia = 6

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Therefore , the solution of the given problem of function comes out to be for all values of x, (f(g(x)) and (g(f(x))) are commutative.

Each topic, including arithmetic variable design, and both real and hypothetical locations, will be covered in the midterm exam's questions. a chart outlining the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input.

Here,

To be commutative, the following conditions must hold true:

For all x-values,

=> f(g(x)) = g(f(x)).

We can begin by independently evaluating f(g(x)) and g(f(x)):

=> f(g(x)) = f(√(x² + 1)) = √((√(x² + 1))² - 1) = √(x² + 1 - 1) = √(x²) = |x|

=> g(f(x)) = g(√(x² - 1)) = √((√(x² - 1))² + 1) = √(x²- 1 + 1) = √(x²) = |x|

Consequently, in order for (f(g(x)) and (g(f(x))) to be commutative, the following must be true:

For all x numbers, |x| = |x|.

Regardless of whether x is positive, negative, or zero, this holds true for all numbers of x.

As a result, for all values of x, (f(g(x)) and (g(f(x))) are commutative.

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The ratio that represents the sine of angle W is 15/17.

Based on the data provided about ΔVWX, as the measure of ∠ X is 90° it is a right-angle triangle. Sine, Cosine and Tangent are the main trigonometric functions and are based on a right-angled triangle. In a right-angled triangle, the sine of an angle is equal to the ratio of side opposite to the angle (also called perpendicular) and hypotenuse. Hence, Sine ∠(Base) = Opposite length/Hypotenuse length.

In the given triangle, Opposite side to ∠W is VX = 15 and hypotenuse side is WV = 17. Hence.

Sine ∠ W = VX/ WV = 15/17

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The equation of the tangent line to the curve y + e^x = 2e^xy at the point (0, 1) is y = -x + 1. The correct answer is (b).

To find the equation of the tangent line to the curve y + e^x = 2e^xy at the point (0, 1), we need to find the slope of the tangent line at that point.

First, we can take the derivative of both sides of the equation with respect to x using the product rule:

y' + e^x = 2e^xy' + 2e^x

Next, we can solve for y' by moving all the terms with y' to one side:

y' - 2e^xy' = 2e^x - e^x

Factor out y' on the left side:

y'(1 - 2e^x) = e^x(2 - 1)

Simplify:

y' = e^x / (1 - 2e^x)

Now we can find the slope of the tangent line at (0, 1) by plugging in x = 0:

y'(0) = 1 / (1 - 2) = -1

So the slope of the tangent line at (0, 1) is -1.

To find the equation of the tangent line, we can use the point-slope form of a line:

y - 1 = m(x - 0)

Substituting m = -1:

y - 1 = -x

Solving for y:

y = -x + 1

Therefore, the equation of the tangent line to the curve y + e^x = 2e^xy at the point (0, 1) is y = -x + 1. The correct answer is (b).

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Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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Answer:

20

Step-by-step explanation:

Assuming you are referring to the day that both teams would play on the same day, it would be the 20th.

There are two ways you can do it.

1. List out the multiples of each number

2. multiply the two days together

If you want to do it the first way it would look like this...

5 10 15 20

4 8 12 16 20

When you do it like this it shows you that the 20th day is the day they would both play together

If you want to do it the second way it would look like this...

4th day X  5th day = 20th day

Either way you solve the problem you get the same answer, this may not work for every problem like this, but it works for this particular one

The statements that are true include the following:

B. Both graphs are exponential function.

C. Both graphs have exactly one asymptote.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

In Mathematics and Geometry, a horizontal asymptote is a horizontal line (y = b) where the graph of a function approaches the line as the input values (domain or independent value) approach negative infinity (-∞) to positive infinity (∞).

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Answer:

x = 12

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

8 + 6x is an exterior angle of the triangle , then

8 + 6x = 30 + 4x + 2

8 + 6x = 32 + 4x ( subtract 4x from both sides )

8 + 2x = 32 ( subtract 8 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Answer:

69

Step-by-step explanation:

Square root of 1300= 36

(37)²>1300>(36)²

Therefore , the requirement no. to be added to get a perfect square

=(37)²=1369

= 1369- 1300=69

The least no. Of sapling he needs for this = 69

The sum of the angle measures of the polygon is 540°, the value of x is 5.

The sum of the angle measures of the polygon is 540°.

We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°

If a polygon has x sides, then the sum of its angle measures can be found using the formula:

Therefore, for a polygon with x sides, the equation becomes:

⇒(x-2) * 180° = 540°

Solving for x, we get:

⇒x = (540° + 360°) / 180° + 2

⇒x = 3 + 2

⇒x = 5

So, the polygon has 5 sides.

Therefore, the value of  x is 5.

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After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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