if you assume all outcomes are equally likely, what is the probability of getting either two odd numbers or two even numbers?

The value for A∪B in probability form is 3/4. The value for A∪B in data set form is {5, 6, 8}.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

The event U has data - U = {1, 2, 3, 4, 5, 6, 7, 8}

The event A has data - A = {6, 8, 10}

The event B has data - B = {5, 6, 9, 12}

The event C has data - C = {1, 3, 7}

The probability formula is -

Probability = No. of outcomes that is favorable / Total number of outcomes

The value for A∪B is -

A∪B = 3/4

The value of A∪B in data set is the values that are present in U data set and in A and B data set.

So, the value is - {5, 6, 8}

Therefore, the value is 3/4 or {5, 6, 8}.

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The answer is 1.25 ft-lb. This can be calculated by multiplying 15 ft-lb by (9 in. / 12 in. per ft), which equals 1.25 ft-lb. The amount of work needed to stretch a spring 9 inches beyond its natural length is 1.25 ft-lb.

1. Convert 9 in. to feet by dividing 9 in. by 12 in. per ft.

2. Multiply the result (0.75 ft) by 15 ft-lb, which equals 1.25 ft-lb.

The amount of work needed to stretch a spring 9 inches beyond its natural length is 1.25 ft-lb. This can be found by taking the given work required to stretch the spring 1 foot (15 ft-lb) and multiplying it by the ratio of the desired distance (9 in.) to 1 foot (12 in. per ft). First, the desired distance of 9 inches must be converted to feet by dividing it by the conversion factor of 12 inches per foot. This results in 0.75 feet. This number is then multiplied by the given work of 15 ft-lb to yield 1.25 ft-lb of work. This is the amount of work needed to stretch the spring 9 inches beyond its natural length.

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The sine, cosine, cosecant, and secant functions have a period 2π;

the tangent and cotangent functions have period π.

The pause between any function's repetitions is known as the function's period. The duration of one complete cycle is the period of a trigonometric function. Trigonometric functions include three basic types: sin, cos, and tan, which have periods of -2π, 2π, and π respectively.

If a function repeats itself repeatedly at a predetermined frequency, it is said to be periodic. The formula for t is f(x) = f(x + p), where p is a real number that denotes the period of the function. The period is the interval between two occurrences of the wave.

The complete question is-

The sine, cosine, cosecant, and secant functions have period _______; the tangent and cotangent functions have period _______.

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The expression which represents the perimeter of the rectangle is 2x + 14

The following expressions represent the descriptions respectively;

6x

(x - 5)

(x + 2.99)

The total cost of membership of each gym is represented by;

Gym A total cost = 80 + 25m

Gym B total cost = 40m

Length= x + 3

Width = 4

Perimeter of a rectangle= 2(length + width)

= 2{(x + 3) + 4}

= 2(x + 3 + 4)

= 2(x + 7)

Perimeter of the rectangle = 2x + 14

Area of the rectangle= length × width

= (x + 3) × 4

Area of the rectangle = 4x + 12

If x = 7

Area of the rectangle = 4x + 12

= 4(7) + 12

= 28 + 12

= 40 square units

If x is the cost of each apple, the total cost of 6 apples = 6x

Adam is x years old. John is 5 years younger.

So, John's age = (x - 5) years

Ben spent x dollars on a book and $2.99 on a pack of pencil.

Ben spent a total of x + 2.99

Gym A total cost:

80 + 25m

Gym B total cost:

40m

Where,

number of months= m

If m = 6 months

Gym A total cost:

80 + 25m

= 80 + 25(6)

= 80 + 150

= $230

Gym B total cost:

40m

= 40(6)

= $240

Therefore, the gym which is the best deal for 6 months is gym A

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a)The energy stored when the extension is 5 cm is given by A = 675 Joules

b) The extension when the energy is 36 Joules is x = ( 2/√3 ) cm

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The energy E stored in an elastic band varies as the square of the energy stored extension x

So , the equation is E = kx²

And , when x = 3 cm , E = 243 Joules

Substituting the values in the equation , we get

243 = k ( 3 )²

9k = 243

k = 27

a)

Now , when the extension x = 5 cm

The energy stored when the extension is E = kx²

On simplifying , we get

E = 27 ( 5 )²

E = 27 x 25

E = 675 Joules

b)

When the energy is E = 36 Joules

E = kx²

36 = 27 ( x )²

On simplifying , we get

x² = ( 36 / 27 )

Taking square roots on both sides , we get

x = ( 6/3√3 ) cm

x = ( 2/√3 ) cm

Hence , the equation is E = kx²

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The population mean, 9,009, 10,585 employees, and 9,009, 10,585 steps are the solution.

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency.

The term "activity tracker" refers to gadgets, including watches and bands, that record your physical activity, such as walking, jogging, and skipping. They only count your steps and inform you of your daily objectives. They are quite useful for tracking blood pressure and other things.

The 95% confidence interval between 9,009 and 10,585 steps was used to estimate the mean number of steps taken by City employees.

The likelihood of the various values may be estimated using the confidence interval. It may be utilised to derive conclusions about the population mean.

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The amount of time it require to water all the parts of her lawn is, 63 minutes

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Ms. Reynold's sprinkler system has 9 stations that water all parts of her front and back lawn.

Each station runs for an equal amount of time

it takes 49 minutes for the first 7 stations to water

The amount of time it require to water stations = ?

First, we need to calculate time required to water 1 station,

t =  Total time taken / Total station watered

  =   49 / 7

  =   7  minutes/station

So

Time for water all parts = 7 x 9

                                       = 63 minutes

Hence, the required time is 63 minutes

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The measures of angles C and D are 70° and 100°, respectively.

Understanding angles is a fundamental concept in geometry. A quadrilateral is a polygon with four sides, and its angles are essential to determining its properties.

Let's start by labeling the angles in the quadrilateral. We know that two angles measure 100° and 90°, so let's label them as A and B, respectively. The other two angles, which we are trying to find, can be labeled as C and D.

Now, we are given that the ratio of angles C and D is 7:10. This means that we can write the following equation:

C/D = 7/10

We can use this equation to solve for one of the angles. Let's choose angle C. We can rewrite the equation as:

C = (7/10)D

We also know that the sum of the angles in a quadrilateral is 360°. Therefore, we can write another equation:

A + B + C + D = 360°

We can substitute the values we know into this equation and solve for angle D:

100° + 90° + (7/10)D + D = 360°

Simplifying the equation:

(17/10)D = 170°

D = 100°

Now that we know the value of angle D, we can use the equation we derived earlier to find the value of angle C:

C = (7/10)D = (7/10) x 100° = 70°

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According to the given figure Mrs Martinez data has greater variability than Mrs Jone's data.

The average may be calculated by dividing the total number of values by the sum of all the numbers. The arithmetic average of a group of two or more data variables is referred to as a mean. Typically, average is referred to as mean or arithmetic mean. The word "mean" is only a way of defining the sample's average.

By adding up each value individually and dividing the result by the total number of observations, the average is obtained. The "middle" value, for which half of such observations are greater and half are less, is used to compute the median.

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A possible explanation for why female characters in Latin American myths and legends often represent evils that inflict harm on men is the patriarchal nature of those societies.

In such societies, women were often seen as weaker and more vulnerable than men, and their perceived subservience reinforced the idea that they were not to be trusted. In addition, women were often seen as a threat to male power and authority, and as a result, they were often depicted as malevolent figures who used their cunning and sexuality to manipulate men.

Another explanation is that the portrayal of female characters as evils in these myths and legends was a way of maintaining social order and control. By demonizing women, men were able to justify their own actions and maintain their position of power and control over women.

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Answer:

The flagpole is 15 ft tall.

Step-by-step explanation:

In this problem, we are asked to create a proportion of similar triangles to solve for the height of a flagpole.

We are given an equation with the proportion:

[tex]\dfrac{h}{6\text{ft}}=\dfrac{\square}{\square}[/tex]

We can fill in the blanks as follows:

[tex]\dfrac{h}{6\text{ft}}=\dfrac{25 \text{ft}}{10 \text{ft}}[/tex]

Notice that the heights of the triangles compared are both in the numerator, and the lengths of both triangles are in the denominator.

Then, to solve for the height of the flagpole, we can isolate the variable h in the proportion.

[tex]\dfrac{h}{6}=\dfrac{25}{10}[/tex]

↓ multiply both sides by 6

[tex]h = \dfrac{150}{10}[/tex]

↓ simplify the fraction

[tex]h = 15 \text{ ft}[/tex]

So, the flagpole is 15 ft tall.

Answer:

see explanation

Step-by-step explanation:

the cost C(x) is the total of the number of erasers made and the fixed cost

(a)

let x be the number of erasers

C(x) = 0.16x + 455

(b)

substitute x = 3000 into C(x) for total cost

C(3000) = 0.16(3000) + 455 = 480 + 455 = 935

total cost = $935

The system of the equations are:

y = 10 + 4x

y = 25 + x

The height of tree is 30 inches tall.

The graph is given below.

The solution is (5, 30).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation

We have,

Maple tree:

The maple tree that is 10 inches tall is

growing 4 inches per month,

This can be written as,

y = 10 + 4x _____(1)

Where y is the height of the tree.

Oak tree:

The oak tree is 25 inches tall and is growing 1 inch per

month.

This can be written as,

y = 25 + x ______(2)

Where y is the height of the tree.

Now,

From (1) and (2),

In a few months, the two trees will be the same height.

So,

10 + 4x = 25 + x

4x - x = 25 - 10

3x = 15

x = 5

Now,

y = 10 + 4x = 10 + 4 x 5 = 10 + 20 = 30

y = 25 + x = 25 + 5 = 30

Thus,

The height of tree is 30 inches tall.

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The z-score for a weight of 13 ounces for a bird living in the northern region is 1 and in the southern region is -1.2.

A z-score, also known as a standard score, is a statistical measure that indicates how many standard deviations an observation or data point is above or below the mean of the distribution.

z = (x - μ) / σ

where

x  = value of the variable

μ = mean of the distribution

σ = standard deviation of the distribution.

In northern region, x = 13 ounces, μ = 10 ounces, σ = 3 ounces

z - score = (13 - 10) / 3

               = 1

In southern region, x = 13 ounces, μ = 16 ounces, σ = 2.5 ounces

z - score = (13 - 16) / 2.5

              = -1.2

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Answer:

5 pounds

Step-by-step explanation:

$20/$4 = 5 pounds

HOPE IT HELPS!

Step-by-step explanation:

use the pythagors theorm b square = h2 -p2

then the 10 cm is parallel so use area of right angled triange =1/2 b×p

In all, Cameron removed 6 tiles (3 consonant vowels and 4 vowel consonants). Take that amount, 6, then divide it by the 24 vowels in total. 24/6=4. It provides you four. Then you multiply that number, 4, by the number of consonant vowels he removed, which is 3, for a total of 6, or 4*2. your response is six vowels.

The five distinct vowel letters are A, E, I, O, and U. The English language has vowels in practically every word and phrase, making them incredibly prevalent. Any letter of the alphabet that isn't a vowel is referred to as a consonant (a, e, i, o, u).All of the non-vowel sounds in the English alphabet are consonants. Vowels, the loud sounds that make up each syllable's core and are separated by consonants. Letters A and O stand in for vowels, whereas B, C, D, F, J, K, M, N, P, Q, S, T, V, X, and Z stand in for consonants.

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The area of a right triangle can be found by multiplying half of the length of the base by the height.

The formula for the area of a right triangle is:

Area = (1/2) * base * height

It is important to note that the base and height must be perpendicular to each other, forming a right angle in the triangle. If the triangle is not a right triangle, then the area cannot be found using this formula.

To use this formula, simply measure the length of the base and height and plug these values into the formula. The result will be the area of the triangle, expressed in square units.

It is also worth noting that the height and base of a right triangle can be any two sides that form a right angle, not just the sides that are labeled as the base and height.

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The joint distribution of X(t) and Y(t) is P(X(t) = k, Y(t) = n) = ((μt)^k / k!) * (μt)^(n+1) * e^(-μt)

The joint distribution of customers remaining and having left can be expressed using the Poisson process as follows:

Let N(t) be the number of customers that arrive in the time interval [0, t], and let S₁, S₂, S₃, ... be the sequence of service times for each customer, where S_i is the time the i-th customer spends in the system (i.e., waiting and being served). Let Y(t) be the number of customers who have left the system by time t, and let X(t) be the number of customers who are still in the system at time t.

The joint distribution of X(t) and Y(t) can be written as:

P(X(t) = k, Y(t) = n) = P(N(t) = k + n) * P(sum of S_i for i = 1 to k + n > t) * P(sum of S_i for i = 1 to k + n - 1 <= t)

where the first term on the right-hand side represents the probability that k + n customers arrive in the time interval [0, t], the second term represents the probability that the sum of service times for the first k + n customers exceeds t (i.e., there are still k + n customers in the system at time t), and the third term represents the probability that the sum of service times for the first k + n - 1 customers is less than or equal to t (i.e., the first k + n - 1 customers have left the system by time t).

The distribution of X(t) and Y(t) can be quite complex, depending on the distribution of service times and the arrival rate of customers. However, in some special cases, closed-form expressions for the joint distribution can be derived. For example, if the service times have an exponential distribution and the arrival rate of customers is constant, then the joint distribution of X(t) and Y(t) is given by the following formula:

P(X(t) = k, Y(t) = n) = ((μt)^k / k!) * (μt)^(n+1) * e^(-μt)

where μ is the rate parameter for the exponential distribution of service times.

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Answer:jjj

Step-by-step explanation:because

The value of the number is -13/3

Algebraic expressions are defined as expressions that are composed of arithmetic operations such as subtraction, multiplication, division, addition, bracket and parentheses.

These expressions are also made up of variables, terms, coefficients, constants and factors.

From the information given, we have that;

The number = x

3x + 4 = -9

collect like terms

3x = -9 - 4

subtract the like terms

3x = -13

Make 'x' the subject

x = -13/3

Hence, the value is -13/3

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Answer: x=4

Step-by-step explanation: as you saw everything is multiplied by 5 this means the 4 became a 20.

3x+8=20

-8 on both sides

3x=12

divide both sides by 3

x=4

By using only the positive exponents , the answer of the expression (2x⁻²y³/3xy⁻⁴) is  (2y⁷)/(3x³)  .

The Exponents, are defined as a shorthand way of representing the repeated multiplication of a base number by itself. The exponent is the small raised number that indicates how many times the base number is multiplied by itself.

For example, in the expression 2⁴, the base number is 2 and the exponent is 4,

We use the law of exponents to simplify the expression :

the expression is : (2x⁻²y³/3xy⁻⁴) ;

by using the rule that : a⁻ⁿ = 1/aⁿ  ;

we get ;

⇒ (2y³y⁴)/(3xx²) ;

On adding the exponents having the same base ,

we get ;

⇒ (2y⁷)/(3x³)  ;

Therefore , the simplified value of (2x⁻²y³/3xy⁻⁴) is (2y⁷)/(3x³) .

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The given question is incomplete , the complete question is

Write answer only using positive exponents , (2x⁻²y³/3xy⁻⁴) .

The LAD method minimizes the sum of the absolute vertical differences between the observed data points and the predicted values of the regression line, making it more robust to the presence of outliers in the data.

Regression analysis is a powerful statistical tool used to estimate the relationship between two or more variables. The ordinary least squares (OLS) method is the most commonly used regression method. However, the OLS method is sensitive to outliers in the data.

LAD regression is a robust alternative to OLS regression because it minimizes the sum of the absolute vertical differences between the regression line and the data points. This method is also known as L1 regression.

Let's consider an example of a simple linear regression model with n observations, where Y is the dependent variable and X is the independent variable.

The OLS method estimates the parameters of the regression line by minimizing the sum of the squared vertical differences between the observed data points and the predicted values of the regression line.

In mathematical terms, the OLS method can be represented as follows:

minimize the sum of squared vertical differences,

min(β₀, β₁) ∑ (yₐ - β₀ - β₁ xₐ)²

However, if the data contains outliers, the OLS method may produce biased estimates of the parameters of the regression line, leading to incorrect predictions. On the other hand, LAD regression minimizes the sum of the absolute vertical differences between the observed data points and the predicted values of the regression line.

In conclusion, the LAD regression is an alternative to OLS that reduces the sensitivity to outliers. The LAD method minimizes the sum of the absolute vertical differences between the observed data points and the predicted values of the regression line, making it more robust to the presence of outliers in the data.

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Answer: The probability that no man will be selected is the number of ways that only women can be selected divided by the total number of combinations of candidates for the 2 data analyst positions. There are 2 ways to choose 2 women from the 2 available women, and there are C(4,2) = 6 ways to choose 2 candidates from the 3 men and 2 women, so the probability that no man will be selected is 2/6 = 1/3.

The probability that both men will get selected is the number of ways to choose 2 men from the 3 available men divided by the total number of combinations of candidates for the 2 data analyst positions. There are C(3,2) = 3 ways to choose 2 men from the 3 available men, and there are C(5,2) = 10 ways to choose 2 candidates from the 3 men and 2 women, so the probability that both men will get selected is 3/10 = 3/5.

If Jyothi gets one more resume of a woman, there will be a total of 3 men and 3 women. The probability that only one man gets selected is the number of ways to choose 1 man and 1 woman from the 3 men and 3 women divided by the total number of combinations of candidates for the 2 data analyst positions. There are C(3,1) * C(3,1) = 9 ways to choose 1 man and 1 woman, and there are C(6,2) = 15 ways to choose 2 candidates from the 3 men and 3 women, so the probability that only one man gets selected is 9/15 = 3/5.

Step-by-step explanation:

Step-by-step explanation:

36 - 7p = -7(p-5)

= 36 - 7p = -7p + 35

= 36 - 35 = - 7p + 7p

= 1 = 0

am confused at the last part

I don't know if p= 1 or it 0 = 1

Step-by-step explanation:

a)

any prime number has only 2 (1 and the number itself).

almost every even number has 1, 2, a factor of 2 and the number itself. so that did not work either.

following that line of thought, the only possible solutions are square numbers of prime numbers :

4, 9, 25, 49

they have only 1, its square root and the number itself as factors.

b)

in the same line of thinking it must be powers of 4 of prime numbers :

2⁴ = 16

with the factors 1, 2, 4, 8, 16

3⁴ = 81

with the factors 1, 3, 9, 27, 81

c)

and so, it must be a power of 6 of a prime number.

the only one possible is

2⁶ = 64

with the factors 1, 2, 4, 8, 16, 32, 64

The height of the building is approximately 79.22 meters, rounded to the nearest meter.

To calculate the angle of elevation, we use the tangent function, which is defined as the ratio of the opposite side to the adjacent side of a right triangle.

We know that the pole is 3.5 meters tall, and its shadow is 1.77 meters long. We can use this information to calculate the angle of elevation of the sun's rays, which is the angle formed between the horizontal line and the line of sight from the top of the pole to the sun.

In this case, the opposite side is the height of the pole (3.5 meters), and the adjacent side is the length of the shadow (1.77 meters). Therefore, we have:

tan(angle of elevation) = opposite/adjacent = 3.5/1.77

Using a calculator, we can find that the angle of elevation is approximately 63.24 degrees.

Now, we can use this angle to find out the height of the building. We know that the shadow of the building is 43.5 meters long, and we want to find its height, which is the opposite side of the right triangle formed by the angle of elevation and the length of the shadow. Therefore, we have:

tan(63.24 degrees) = opposite/43.5

Solving for the opposite, we get:

opposite = 43.5 * tan(63.24 degrees) = 79.22 meters

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Answer: 37

Step-by-step explanation:

let x be the number of students who pass "fante". Then the number of students who passed "Ga" will be x + 6.

with the added information that 8 students passed both we can say:

(x + x + 6) - 8 = 60

2x + 6 = 68

2x = 62

x = 31

.: x + 6 = "only Ga pass" = 37

The question does not make it clear if it is asking for students who *only* passed Ga, or students who passed Ga + those who passed both. I'll assume the former though. Otherwise the answer would be 37 + 8 = 45 students