Put the following equation in slope intercept form, simplifying all fractions. 12x+8y=-24

Answer: 60%

Step-by-step explanation:

1=100%

0.6=0.6*1

0.6=0.6*100%

0.6*100%=60%

Answer:

Adult Tickets: 190

16 and less: 60

Step-by-step explanation:

190 x 4.00 + 60 x 2.5 = 910

The expected number of times that the spinner will land on green is given as follows:

123.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

From the table, the probability of drawing a green section is given as follows:

4/(16 + 17 + 4 + 15 + 13) = 4/65.

Hence the expected number of green out of 2000 is given as follows:

E(X) = 2000 x 4/65

E(X) = 123.

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Answer:

y=4

Step-by-step explanation:

First, you should simplify this equation. To do that, we need to multiply 3 by 4y and 3 by 7. This will make the equation 12y+21=69. Subtract 21 from both sides to isolate y. This will make the equation 12y=48. You want the y to be by itself so you have to divide 12 by each side to get y=4. Therefore, the answer is y=4.

Hope this helps

That is the answer...

Answer:

A = 308

Step-by-step explanation:

given 1 cm represents 4 feet , then

5.5 cm = 5.5 × 4 = 22 ft

3.5 cm × 4 = 14 ft

Then actual area is

A = 22 × 14 = 308 ft²

Answer:with?

Step-by-step explanation:

The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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The Root cause analysis uses one of the following techniques is (D) Ishikawa diagram.

The Root cause analysis is a problem-solving technique that aims to identify the underlying reasons or causes of a particular problem or issue.

It helps in identifying the root cause of a problem by breaking it down into its smaller components and analyzing them using a systematic approach.

The Ishikawa diagram, also known as a fishbone diagram or cause-and-effect diagram, is one of the most widely used techniques for conducting root cause analysis.

It is a visual tool that helps in identifying the possible causes of a problem by categorizing them into different branches or categories.

The Ishikawa diagram can be used in various industries, including manufacturing, healthcare, and service industries, and can help in improving processes, reducing costs, and increasing efficiency.

In summary, the root cause analysis technique uses the Ishikawa diagram to identify the underlying reasons for a particular problem.

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Answer:4

Step-by-step explanation: trust me it’s correct

To compare the values - 1.4 and - 1.1 using a number line, the correct expression for the comparison will be the less than sign, Hence, expressed as - 1.4 < -1.1

On a number line, negative values decreases as we move to the left of the number line ; Hence, values which are situated to the leftmost part are lesser than those to their right.

The value - 1.4 tends more to the left than the value - 1.1 ; therefore, - 1.4 is less than - 1.1

Therefore, the correct expression which shows the relation is - 1.4 < - 1.1

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Answer:

Option C, 3x = 30

Step-by-step explanation:

Cuz both angles are vertical angels and therefore congruent to each other.

Hope this helps!

Answer: -56/65

sin α = 4/5 => cos α = 3/5 (because 0 < α < pi/2)

cos β = -12/13 ⇒ sin β = 5/13 (because pi/2 < β < pi)

we have:

cos(α + β) = cosα.cosβ - sinα.sinβ = \(\frac{3}{5}.\frac{-12}{13}-\frac{4}{5}.\frac{5}{13}=\frac{-56}{65}\)

Step-by-step explanation:

Answer:

Dividend: 3 1/2

Divisor: 1 3/4

To solve this problem, we can convert both mixed numbers to improper fractions:

Dividend: 7/2

Divisor: 7/4

Then we can divide the two fractions:

(7/2) ÷ (7/4) = (7/2) x (4/7) = 2

So the quotient is 2, which is a whole number. Therefore, the division problem 3 1/2 ÷ 1 3/4 = 2 has been solved.

Answer:

128

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.

To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.

Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

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Answer:

some information is missing, so I looked for similar questions and found the attached image:

since each recipe requires ¹/₂ cup of butter, you are able to make 12 ÷ ¹/₂ = 24 recipes with one container of butter (assuming you have all the other ingredients).

One-half, ¹/₂, is a fraction that can also be written in decimal form as 0.5. Two times ¹/₂ is equal to 1, and similarly, twenty four times ¹/₂ is equal to 12.

The interval for usual values is [66, 102]. The probability of a volunteer having Genetic Condition B is π = 7/60.

To find the most likely number (μ) of the 719 volunteers to have Genetic Condition B, multiply the total number of volunteers by the probability:
μ = (719)(7/60) ≈ 83.97 ≈ 84 (rounded to the nearest whole number)
Now, we need to find the standard deviation (σ) for the probability distribution of X. The formula for the standard deviation of a binomial distribution is:
σ = √(nπ(1-π))
Where n is the number of volunteers, and π is the probability:
σ = √(719)(7/60)(1 - 7/60) ≈ 8.74 (rounded to two decimal places)
Using the range rule of thumb, find the minimum and maximum usual values as μ - 2σ and μ + 2σ:
Minimum usual value = μ - 2σ = 84 - 2(8.74) ≈ 66 (rounded to the nearest whole number)
Maximum usual value = μ + 2σ = 84 + 2(8.74) ≈ 102 (rounded to the nearest whole number)
Your answer: μ = 84, σ = 8.74, usual values = [66, 102]

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The correct answer is B. 1/4

Probability can be found by dividing the favourable cases by the total possible cases.

So, the probability of getting a tail from a coin after being tossed is 1/2

The possible outcomes are,

There are total 4 outcomes out of which only the case of both tails is favourable.

So, the probability is 1/4.

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Answer:

The answer is "\(\bold{\cos 65}\)"

Step-by-step explanation:

Given:

\(\Rightarrow \bold{\sin 25}\\\)

\(\Rightarrow \sin 25\) can be written as \(\frac{\sin 25}{1}\)

\(\therefore \tan \theta = \frac{\sin \theta }{cos \theta}\)

\(\Rightarrow \sin 25\) can be written as \(\cos (90-65)\)

The answer is "\(\bold{\cos 65}\)".

Answer:

55

Step-by-step explanation:

the four number is 26+27+28+29

so 26+29=55

To find the equation of the line (line 1) that passes through the points (2,4) and is parallel to the line 3x - 2y = 18 (line 2), you can follow the steps above.

Step 1) Write the equation of line 2 in the slope-intercept form.

A general equation for the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

So, let's isolate y in line 2:

3x - 2y = 18

3y - 18 =2y

2y = 3x - 18

y = 3/2x - 18/2

y = 3/2x - 9

Step 2) Find the slope of line 1.

Since line 1 and 2 are parallel, they have the same slope.

So,

Step 3) Find the y-intercept (b) for line 1.

The equation for line 1 is

To find b, we substitute the point (2,4) in the equation:

Step 4) Write the equation of the line.

Since you found m and b, you can write the equation of the line:

Answer:

Answer:

$13.00 per person

Step-by-step explanation: you divide $26 by 2

Answer: Scalene Triangle

Step-by-step explanation:

Answer:

Scalene Triangle

Step-by-step explanation:

Scalene Triangle: All sides are different

Isosceles Triangle: 2 sides are the same

Equilateral Triangle: All sides are the same.

The statement (∀x)[p(x)] & (∃y)[q(y)] and (∀x)(∃y)[p(x) & q(y)] are logically equivalent is False.

The two statements have different logical meanings.

(∀x)[p(x)] & (∃y)[q(y)] means "For every x, p(x) is true, and there exists at least one y for which q(y) is true."

(∀x)(∃y)[p(x) & q(y)] means "For every x, there exists at least one y such that both p(x) and q(y) are true."

The difference lies in the order of quantifiers. In the first statement, the universal quantifier (∀x) applies to p(x) and the existential quantifier (∃y) applies to q(y). In the second statement, the universal quantifier (∀x) applies to the entire expression (p(x) & q(y)), and the existential quantifier (∃y) applies within that expression.

Therefore, the two statements are not logically equivalent.

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The linear equations for the graph is obtained to be option D: y = x + 2 and y = -x - 4.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The graph of two lines are given.

For the first line going from top left corner to bottom right corner, the point of coordinates are (-5, 1) and (-3,-1).

The slope-intercept form of an equation/function is - y = mx + b

To find the slope m use the formula -

(y2 - y1)/(x2 - x1)

Substituting the values in the equation -

[-1 - 1]/[-3 - (-5)]

(-2)/(2)

-1

So, the slope point is obtained as m = -1.

The equation becomes - y =-x + b

To find the value of b substitute the values of x and y in the equation -

-1 = -(-3) + b

-1 = 3 + b

b = -1 - 3

b = -4

So, the value for b is -4.

Now, the equation becomes -

y = -x - 4

Now, for the second line going from bottom left corner to top right corner, the point of coordinates are (-1, 1) and (-3,-1).

The slope-intercept form of an equation/function is - y = mx + b

To find the slope m use the formula -

(y2 - y1)/(x2 - x1)

Substituting the values in the equation -

[-1 - 1]/[-3 - (-1)]

(-2)/(-2)

1

So, the slope point is obtained as m = 1.

The equation becomes - y = x + b

To find the value of b substitute the values of x and y in the equation -

-1 = (-3) + b

-1 = -3 + b

b = -1 + 3

b = 2

So, the value for b is 2.

Now, the equation becomes -

y = x + 2

Therefore, the two equations are y = -x - 4 and y = x + 2.

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Answer:

3x + 3y - 6

Step-by-step explanation:

3x - 6 + 3y =

3x + 3y - 6

The probability that two random people being born on the same day is thus 1/365 or about 0.3%

We apply our probability model above to the task at hand.

First, we suppose Person 1. This person is born on a certain date of the year.

Since this is a random person, we can fix this person's birthday to a specific date (a number between 1 and 365) without loss of generality for the problem.

Let's say this person is born on 10. (i.e. January 10th)

Now, we take Person 2. In order to achieve the event that Person 2 is born on the same date as Person 1,

we need them to be born on 10. In other words, we seek the probability of Person 2 being born on 10.

Based on our model, we have that this probability is 1/365.

The probability that two random people being born on the same day is thus 1/365 or about 0.3%

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Answer:

15 miles/hour = 0.25 miles/minute

The cyclist would have traveled 5 miles in 20 minutes.

Step-by-step explanation:

15 miles per hour is written as

15 miles/hour

To convert 15 miles/hour to miles/minute

From 1 hour = 60 minutes

∴ 15 miles/hour = 15 miles/ 60 minutes

= (15/60) miles/minute

= 0.25 miles/minute

To calculate how many miles the cyclist will travel in 20 minutes

That is, Time, t = 20 minutes

Velocity, v = 15 miles/hour = 0.25 miles/minute

Distance, s = ??

From,

\(Velocity = \frac{Distance}{Time}\\\)

∴\(Distance = Velocity\) × \(Time\)

\(Distance = 0.25 miles/minute\) × \(20 minutes\)

\(Distance = 5 miles\)

Hence, The cyclist would have traveled 5 miles in 20 minutes.

Yes, The given values are right .

The absolute minimum of f ( x , y ) is 0 and Absolute maximum value is 9 .

We have given that

f(x,y) = x²− x y + y² − 3 x + 3y ---(*)

firstly, we find out the critical points

for this , df/dx and df/dy where d --> partial differential operator

by partially differentating f with respect to x and y we get,

df/dx = 2x - y - 3 = Fₓ

df/dy = - x + 2y + 3 = Fᵧ

Now, Fₓᵧis find out by partially differentating of Fx.

Fxy = -1

and similarly, Fₓₓ = 2 , Fyy = 2

the value of Fₓᵧ and Fᵧᵧ is denoted by R and T respectively.

For critical points, Fₓ = 0 and Fᵧ = 0

=> 2x - y - 3 = 0

=> 2x - y = 3 ---(1)

=> -x + 2y + 3 = 0

=> 2y - x = -3 --(2)

Solving equations (1) and (2) we get,

x = 1 and y = -1

since, 0<y<x<3

we get a region D contains thre points (0,0) , (3,3) , (3,0).

finite at a= 1 , b= -1

Now, F(0,0) = 0 ; F(3,0) = 9- 3×3 = 0

F(3,3 ) = 9 - 9 + 9 - 9 + 9 = 9

Hence, absolute minimum value of F(x,y) is 0

and absolute maximum value of F(x,y) is 9.

but critical point (1, - 1) is not lie in critical region D so, it cannot be a critical point .

we can only take a = 1 and b = -1

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