Calculate the slope (50,10) (77,25)

Probability is expressed as

number of favorable outcomes/number of total outcomes

From the information given,

number of men = 3

number of women = 5

total number of men and women = 3 + 5 = 8

The favorable outcome in this case is the event of selecting a man. Therefore,

The probability of selecting the first man = 3/8

We are left with 2 men and 7 people. The probability of selecting the second man is 2/7

We are left with 1 man and 6 people. The probability of selecting the third man is 1/6

Therefore, the the probability that all men will be interviewed first is

3/8 x 2/7 x 1/6 = 0.018

the the probability that all men will be interviewed first is 0.018

There are 50,000 odd five-digit counting numbers that can be formed by choosing digits from the set with repetition allowed.

To determine the number of odd five-digit counting numbers that can be formed by choosing digits from a set (with repetition allowed), we need to consider the restrictions and possibilities for each digit position.

1. The leftmost digit:

2. The remaining four digits:

To find the total number of odd five-digit counting numbers, we multiply the possibilities for each digit position:

Total number = (5 options for the leftmost digit) \(\times\) (10 options for each of the remaining four digits)

Total number = \(5 \times 10^4 = 50,000\)

Therefore, there are 50,000 odd five-digit counting numbers that can be formed by choosing digits from the set when repetition is allowed.

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Answer:

I think the one below is correct

Step-by-step explanation:

3a^2 + 2ab + c^2 = 0

The residual if you know the actual number is 3 and the predicted value is 1.6l is 1.4.

The residual is a measure of the difference between the predicted value and the actual value. In this case, the actual number is 3, and the predicted value is 1.6. To find the residual, we subtract the predicted value from the actual value:

Residual = Actual Value - Predicted Value

= 3 - 1.6

= 1.4

Therefore, the residual in this case is 1.4.

The residual represents the error or the amount by which the predicted value differs from the actual value.

A positive residual indicates that the predicted value is lower than the actual value, while a negative residual indicates that the predicted value is higher than the actual value.

In this case, the positive residual of 1.4 indicates that the predicted value of 1.6 underestimates the actual value of 3 by 1.4.

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Answer:

  x +2y = -2

Step-by-step explanation:

You want the line perpendicular to 2x-y = 5 that passes through (6, -4).

The slopes of perpendicular lines are opposite reciprocals. This means the equation of the perpendicular line can be formed by swapping the coefficients of x and y, and negating one of them. We want the leading coefficient to be positive, so we choose our line's equation to be ...

  2x -y = constant . . . . . . . . . . original line

  x +2y = <some constant>

The constant must be chosen so the equation is true at the given point:

  x + 2y = (6) +2(-4) = -2

An equation for the perpendicular line is ...

  x +2y = -2

Emika's monthly budget is $60.

A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.

Let Emika's cell phone bill budget be represented with x.

In order to determine his monthly budget, divide $60 by 120%

x = $60 / 120%

x = $60 / 1.20

x = $50

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Step-by-step explanation:

\( \frac{y2 - y1}{x2 - x1} \)

Answer:

slope = \(\frac{3}{4}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (3, 2) ← points on graph

m = \(\frac{2-5}{3-7}\) = \(\frac{-3}{-4}\) = \(\frac{3}{4}\)

Answer:

3) 12,550 4) Draw a circle, divide it into ninths, and shade 8 of those pieces, leaving one blanck.

I hope this helped, please mark Brainliest, thank you!

Answer:

Solution given:

we have

setup price =$30

as rate for 1 print tickets =$1.05/tickets

so

for t

t=$30+$1.05*t

is a required expression.

the

cost of 300 tickets:

300 tickets =$30+$1.05*300=$345

$345is the cost of 300 tickets.

We are given a graph of a line and asked to write the equation in the form below.

Where m is the slope and b is the y-intercept of the line.

The y-intercept is the point where the line intersects the y-axis.

From the graph, we see that the line intersects the y-axis at -2

So, the y-intercept is -2

The slope of the line is given by

The rise is the vertical distance between the two points on the line.

The run is the horizontal distance between the two points on the line.

As you can see, we selected two points on the line and we have got a rise of 8 units and a run of 4 units

So, the slope of the line is 2

Therefore, the equation of the line is

Answer:

94 pound of type A

Step-by-step explanation:

Answer:

The answer is: -15 35/51 < -15.6 < - radical 245 < 154/10

The relation ⊂ (subset) can be considered as a binary relation between sets, and it is a partial order on the power set P(S) of an arbitrary nonempty set S. However, it is not a total order.

A partial order is a binary relation that satisfies three properties: reflexivity, antisymmetry, and transitivity. Let's analyze whether ⊂ satisfies these properties for the power set P(S).

Reflexivity: For any set A, A is a subset of itself (A⊂A) holds true. Therefore, ⊂ is reflexive.

Antisymmetry: If A⊂B and B⊂A, then A and B must be equal sets. In other words, if two sets are subsets of each other, they must be the same set. This property is satisfied, and ⊂ is antisymmetric.

Transitivity: If A⊂B and B⊂C, then A⊂C. If one set is a subset of another set, and the other set is a subset of a third set, then the first set is also a subset of the third set. This property is satisfied, and ⊂ is transitive.

Therefore, ⊂ satisfies the properties of reflexivity, antisymmetry, and transitivity, making it a partial order on P(S).However, ⊂ is not a total order because it does not satisfy the total ordering property. In a total order, for any two distinct elements, one must be greater than or equal to the other. In the case of ⊂, there are sets A and B that are not subsets of each other (neither A⊂B nor B⊂A). Therefore, it is not a total order.

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Answer:

1.150 seconds or 2.5 minutes

2. 0.2km

Step-by-step explanation:

1. 1.5 x 1000=1500

  1500/10=150

150/60=2.5minutes

2. 60mins = 36km -Divide both sides by 60 to get how far he would go in 1 minute/60 secs

    1min/60secs=0.6km -Divide both sides by 3 to get how far he would go in 20 secs

    20secs=0.2km

The circumference of a circle with a radius of 3 ft is greater than the distance around a semicircle with a diameter of 16 ft by approximately 2.84 ft.

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius. For the given circle with a radius of 3 ft, the circumference would be C = 2π(3) = 6π ft.

The distance around a semicircle is calculated by finding half the circumference of the corresponding full circle. In this case, the diameter of the semicircle is 16 ft, which means the corresponding full circle has a radius of 8 ft. The circumference of the full circle is C = 2π(8) = 16π ft. Therefore, the distance around the semicircle is half of that, which is 8π ft.

Comparing the two values, 6π ft is greater than 8π ft by approximately 2.84 ft. Hence, the circumference of the circle with radius 3 ft is greater than the distance around the semicircle with a diameter of 16 ft by approximately 2.84 ft.


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we have shown that p^2 = p by multiplying p = a(at a)^(-1)at by itself and canceling.

To show that p^2 = p by multiplying p = a(at a)^(-1)at by itself and canceling, let's proceed with the calculation:

p^2 = p * p

Substituting p = a(at a)^(-1)at:

p^2 = a(at a)^(-1)at * a(at a)^(-1)at

We can cancel the terms in the middle:

p^2 = a(at a)^(-1)at * (at a)^(-1)at

Now, let's simplify the expression. Since (at a)^(-1)at * (at a)^(-1)at is equivalent to the identity matrix, we have:

p^2 = a(at a)^(-1) * at

Next, we can apply the inverse property of a matrix to obtain:

p^2 = a * (at a)^(-1) * at

By using the property (AB)^(-1) = B^(-1)A^(-1), we can rewrite the expression as:

p^2 = a * (a^(-1))(at)^(-1) * at

Now, we can use the property (AB)^(-1) = B^(-1)A^(-1) again to rearrange the terms:

p^2 = a * (at)^(-1) * a^(-1) * at

Finally, using the property (A^(-1))^(-1) = A, we have:

p^2 = a * I * a^(-1) * at

Simplifying further, we obtain:

p^2 = aa^(-1) * at

Since aa^(-1) is equal to the identity matrix I, we have:

p^2 = I * at

Multiplying any matrix by the identity matrix results in the original matrix, so:

p^2 = at

Hence, we have shown that p^2 = p by multiplying p = a(at a)^(-1)at by itself and canceling.

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Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.

Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is

0 ≤ x ≤ 9460

Where x represents number of people.

For the range, the lowest total sales is 0 × 45.5 = $0

The highest total sales is

9460 × 45.5 = $430430

The range is

0 ≤ y ≤ 430430

Where y represents total sales

The two equivalent equations are: 1. s = s equals start fraction l an over pi r end fraction, and 2. s = s equals start fraction pi r over l a endfraction. Hence, 1 and 2 are the required correct statements.

To determine which equations are equivalent, we need to analyze their structures and rearrange them if necessary.

1. s = s equals startfraction l a over pi r endfraction:

This equation represents the relationship between the surface area (s) of a sphere and its radius (r) and lateral area (l a). It is in a valid form and cannot be simplified further.

2. s = s equals startfraction pi r over l a endfraction:

This equation also represents the relationship between the surface area (s) of a sphere and its radius (r) and lateral area (l a). However, it is written in a different order compared to the first equation. By rearranging the terms, we can rewrite it as s = s equals startfraction l a over pi r endfraction, which is equivalent to the first equation.

3. r = r equals startfraction l a over pi s endfraction:

This equation represents the relationship between the radius (r) of a sphere and its lateral area (l a) and surface area (s). It is not equivalent to the first two equations as the variables are in a different order.

4. r = las:

This equation does not match the structure of the previous equations and does not represent a valid relationship between the variables.

Therefore, the two equivalent equations are:

1. s = s equals startfraction l a over pi r endfraction.

2. s = s equals startfraction pi r over l a endfraction.

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The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .

In the question ,

it is given that

the time taken to vacate the stadium = 20 minutes

number of exits = 25 exits

capacity of the stadium = 25000 spectators .

given that ,

time taken to exit the stadium varies directly with number of spectators and inversely with the number of exits .

time taken ∝ number of spectators ∝ 1/number of exits .

to remove the proportionality sign , we write the constant

time taken = k * (number of spectators)/(number of exits) .

20 = k * 25000/25

20 = k * 1000

k = 20/1000

k = 2/100

k = 1/50 = 0.02

So, to find the time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional , we use the formula

time taken = (0.02)*(21000/15)

= 0.02*1400

= 28

Therefore , The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28  minutes .

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In the given scenario ladder is 6.52 feet long.

Given that,

The angle between ground and ladder = 62 degree

The distance of ladder from ground and ladder = 3 feet

We have to find the length of  ladder.

Since we know that,

The trigonometric ratio

cosθ = adjacent/ Hypotenuse

Here we have,

Adjacent =  3 feet

Hypotenuse = length of ladder

Thus to find the length of ladder we have to find the value of hypotenuse.

Therefore,

⇒ cos62 = 3/ Hypotenuse

⇒    0.46 = 3/ Hypotenuse

⇒ Hypotenuse =  3/0.46

                          = 6.52

Thus,

length of ladder  = 6.52 feet.

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The statement " to find the leading coefficent we have to write our polynomial so that the order of the degree goes from least to greatest" is false.

To find the leading coefficient of a polynomial, we need to write the polynomial in standard form, where the terms are arranged in descending order of degree, from highest to lowest. The leading coefficient is the coefficient of the term with the highest degree.

In order to determine the leading coefficient, we need to write the polynomial in standard form, where the terms are arranged in descending order of degree.

For example, consider the polynomial 3x^2 + 2x - 1. In this case, the highest degree term is 3x^2, and the leading coefficient is 3. By arranging the polynomial in standard form, with the terms in descending order of degree, we can easily identify the leading coefficient.

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Answer:

I think -1.5 -0.1 0.8 1.1

Answer:

-1.5 || -0.1 || 0.8 || 1.1

Explanation:

Since it is from least to greatest, let's compare the 2 negative numbers -1.5 and -0.1.

-1.5 has a 1 in its first place while -0.1 has a 0. This means that -1.5 is smaller because the further a number is on the negative number line the smaller it is.

So, -1.5 is the smallest, then -0.1.

-1.5 || -0.1

Now we compare the 2 positive numbers 0.8 and 1.1.

0.8 has a 0 in its first place and 1.1 has a 1 in its first place. Because the numbers are positive, the number with the biggest digit in in front of the decimal is greater.

So, in this case 1.1 is greater than 0.8.

0.8 || 1.1

In order it is:

-1.5 || -0.1 || 0.8 || 1.1

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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The declaration states that the value of Arc EFC = 253°.

A measure is indeed a quantitative concept used to express how large a collection is. Each unique measure represents a different method for determining how large a collection is. It would initially appear that a set's cardinality is the only logical way to determine its number.

We can tell we are working with a circular that has 360 degrees because of the connection.

We can infer that we have it if we look at that file.

Arc EFC

Arc CD

Arc DE

And everything together give us 360,

Arc EFC + Arc CD + Arc DE = 360

If we examine the figure again, we can see that the central angle of an intercepted arc is identical to the arc's measure.

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Therefore, Arc EFC = 253°

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The correct questions is:

Circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

Answer:

4 hours

Step-by-step explanation:

63-35=28 28 divided by 7= 4

Answer:

log₃(-2x - 3) = 2

Step-by-step explanation:

logₓ(36) = 2:

To solve this equation, we need to find the value of x for which logₓ(36) equals 2. Rewriting this equation in exponential form, we have x² = 36. Taking the square root of both sides gives us x = 6.

log₃(2x - 9) = 3:

3^(log₃(2x - 9)) = 3³

By applying the property of logarithms that states logₓ(x^a) = a, we can simplify the equation further:

2x - 9 = 27

Now, let's solve for x:

2x = 27 + 9

2x = 36

x = 36/2

x = 18

log₃(216) = x:

log₃(6³) = x

3log₃(6) = x

3 + 3log₃(2) = x

log₃(-2x - 3) = 2:

- 2x - 3 = 3²

- 2x - 3 = 9

- 2x + 3 = 9 + 3

- 2x = 9 + 3

- 2x = 12

- 2x / -2 = 12/-2

x = -6

In summary, the equation that has x = -6 as the solution is the last equation: log₃(-2x - 3) = 2