A study of the demand for air travel between two cities depends on the airfare according to the following demand equation. q=55.1−0.023p

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

As an improper fraction: \(15/11\)

As a mixed number: \(1 \frac{4}{11}\)

As a decimal: 1.36

Step-by-step explanation:

\(3/5x - 1/3x = x - 1\)

Find a common denominator between 5 and 3 (15)

\((3 * 3) / 15x - (1 * 5) / 15 = x - 1\)

\(9/15x - 5/15 = x - 1\)

Subtract the fractions

\(4/15x = x - 1\)

Subtract x from both sides of the equation

\(-11/15x = -1\)

Multiply both sides of the equation by 15/-11 to simplify

x = 15/11

Hope this helps :)

Answer:

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

Step-by-step explanation:

(3)/(5)x-(1)/(3)=x-1

Simplify  (3)/(5)x-(1)/(3)x

(4x)/(15)=x-1

Move all terms containing  x  to the left side of the equation.

-(11x)/(15)=-1

Multiply both sides of the equation by    -(15)/(11)

-(15)/(11)(-(11)/(15))= -(15)/(11) . -1

Simplify both sides of the equation.

(15)/(11)

The result can be shown in multiple forms.

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

(a) The expression cos⁻¹(√2 / 2) evaluates to π/4 radians. (b) The expression cos⁻¹(0) evaluates to π/2 radians.

(a) To evaluate cos⁻¹(√2 / 2), we need to find the angle whose cosine is equal to √2 / 2. From the unit circle or trigonometric identities, we know that this corresponds to an angle of π/4 radians.

So, cos⁻¹(√2 / 2) = π/4

(b) To evaluate cos^⁻¹(0), we need to find the angle whose cosine is equal to 0. From the unit circle or trigonometric identities, we know that this corresponds to an angle of π/2 radians.

So, cos⁻¹(0) = π/2

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When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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Answer:

Al estudiante le falta caminar \(\frac{1}{3}\) de kilómetro.

Step-by-step explanation:

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción \(\frac{2}{3}\) .

El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción \(\frac{1}{2}\), por lo tanto un medio es la mitad de una cantidad.  Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:

\(\frac{1}{2} *\frac{2}{3}\)

Resolviendo:

\(\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}\)

Entonces, la distancia recorrida en bus es \(\frac{1}{3}\) de kilómetro.

Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:

\(\frac{2}{3} - \frac{1}{3}\)

Resolviendo:

\(\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}\)

Al estudiante le falta caminar \(\frac{1}{3}\) de kilómetro.

Answer:

24 ft.

Step-by-step explanation:

Radius = 4 ft

Central angle = 6°

Arc length = radius × central angle

= 4 × 6°

= 24 ft.

This measure of central tendency can be considered the most precise in option c. mean

The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.

The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.

However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.

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Answer:

x = 135 degrees

Step-by-step explanation:

The measure of each interior angle of a regular polygon is given by = (n-2)×180/n where n is the number of sides.

So for the regular octagon the measure of each interior angle is (8-2)×180/8 = 135

y = 135-90

y = 45 degrees

———

y + y + z = 135

90 + z = 135

z = 45 degrees

———

v = w = 90 (alternate interior angles of parallel lines)

———

z + w + w + x = 360 (angles in a quadrilateral add to 360)

45 + 90 + 90 + x = 360

225 + x = 360

x = 135 degrees

Good Luck!

Answer:

a 33 I think

Step-by-step explanation:

i am not really good at that

Answer:

B. 46

10% of 200 is 20 so 23% of 200 is 46

Answer:

14.45 feet

Step-by-step explanation:

The set up is a right angled triangle;

The length of the ladder = hypotenuse = 15foot

The base of the ladder is the adjacent = 4feet

The height of th house is the opposite = x

Using the pythagoras theorem;

hyp² = opp² + adj²

15² = opp²+4²

opp² = 15²- 4²

opp² = 225 - 16

opp² = 209

opp = 14.45feet

Hence the ladder reaches 14.45 feet up the house

Statistical inference methods. These methods help us determine if findings from a sample can be generalized to the full population by using mathematical techniques to make inferences about population parameters based on sample data.

Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called statistical inference methods. These methods involve making inferences and drawing conclusions about population parameters based on sample data. Statistical inference helps us make statements about the population based on the information obtained from a representative sample. Common techniques in statistical inference include hypothesis testing, confidence intervals, and estimation.

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Answer:

y = - 3

Step-by-step explanation:

Locate x = 3 on the x- axis. Go vertically down to meet the line. At this point the corresponding y- value is - 3 on the y- axis

Thus when x = - 3 then y = - 3

The ounces of soda consumed by an adult next month are examples of a discrete random variable,  False

A discrete random variable are known as counts. This is because it takes on only a countable number of distinct values. This means a random variable can only be considered to be discrete if it can take on values that are countable in an interval, otherwise it can be continuous.

Now on the question of ounces of soda consumed by an adult next month is considered not to be discrete random variable. This is because ounces of soda or volume of soda consumed are countless and infinite in number.  

Hence, the statement that says ounces of soda consumed by an adult next month are an example of a discrete random variable is False.

Choice b(False) is correct.  

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Answer:

90 point

Step-by-step explanation:

they have to be equel

hotel elegance

30 for signing up

15 per night

45 point 1 night and signing up

90-45= 45

45÷15=3

3nights

hotel paradiso

10 signing up

20 per night

30 for signing up and 1 night

90-30=60

60÷20= 3

3nights

if he spends 3 night at the hotel he will get the same points

Answer:

96 sq yards

Step-by-step explanation:

40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area

Answer:

The volume of the sphere is 113.04 yd³

Step-by-step explanation:

The litres of punch with Sarah is 4.8 L.

The mixture of juices in the punch had 1.1 L of pineapple juice for every 0.4 L of orange juice.

The ratio of the amount of pineapple juice to the orange juice is 1.1:0.4.

The initial amount of pineapple juice is 1.1x.

The initial amount of orange juice is 0.4x.

The amount of orange juice added to the punch is 0.3 L.

The new ratio of the amount of pineapple juice to the orange juice is 1.1:0.5.

The final amount of pineapple juice is 1.1x.

The final amount of orange juice is 0.4x + 0.3.

(1.1x)/(0.4x + 0.3) = 1.1/0.5

0.5x = 0.4x + 0.3

0.1x = 0.3

x = 3

The amount of punch Sarah has now is the total amount of pineapple and orange juice.

The amount of punch is given below :

A = 1.1x + (0.4x + 0.3)

A = 1.5x + 0.3

A = 1.5(3) + 0.3

A = 4.5 + 0.3

A = 4.8

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Answer:

the angle of 1 is 68 degrees

Answer:

\(\boxed {\boxed {\sf m \angle 1 = 68 \textdegree}}\)

Step-by-step explanation:

The 3 interior angles of a triangle must add to 180 degrees.

We don't know the measure of angle 1. We can say the measure of angle 2 is 61° and the measure of angle 3 is 51°.

Add the numbers on the left side.

We want to isolate the measure of angle 1.

112 is being added, so we must perform the inverse operation of subtraction.

The measure of angle 1 is 68 degrees.

Answer:

5 PLZ GIVE BRAINLIEST

Step-by-step explanation:

83+37 = 120

120/5=24

Answer:

-4, -1

Step-by-step explanation:

I'm pretty sure that this is the correct answer but please check before entering this!

All I did was count the distance and find the middle!

Hope this helped!  :)

Answer:

shown below

Explanation:

so first you can graph a dot at (2,-1), since it must go through that line. Then you can use the slope, 3, to figure out the next dot. The slope 3 can be put into a fraction, liking like 3/1. Then you use rise/run from your point (2,-1). You go up 3, and right 1. Using that, your next point is (3,2). Plot that dot, and then use a straight edge to draw your line. It looks like how it is in the picture.

Answer:

vertex = (- 1, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

y = x² + 2x - 3 ← is in standard form

with a = 1, b = 2 , then

x = - \(\frac{2}{2}\) = - 1

Substitute x = - 1 into the equation for corresponding value of y

y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4

vertex = (- 1, - 4 )

Answer: The perimeter is 16 units

Step-by-step explanation:

The vertex of the parabola y = f(x + 1) is (1, -1).

To find the vertex of the parabola given by the equation y = f(x + 1), we need to determine the effect of the transformation on the vertex coordinates.

The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) represents the vertex coordinates.

In the given equation, y = f(x + 1), we can see that the transformation is a horizontal shift of 1 unit to the left. This means that the new vertex will be located 1 unit to the left of the original vertex.

Given that the original vertex is (2, -1), shifting 1 unit to the left would result in a new x-coordinate of 2 - 1 = 1. The y-coordinate remains the same.

Therefore, the vertex of the parabola y = f(x + 1) is (1, -1).

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A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.

The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.

In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.

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Minimum Increment operations to make Array unique

The UNIQUE function will return an array, which will spill if it's the final result of a formula. This means that Excel will dynamically create the appropriate sized array range when you press ENTER .

ArrayList is like an array behind the scenes as it’s backed by an array of type java.lang.Object in java.

Normally arrays are fixed in size which means the number of elements that can be added are fixed and cannot be increased once created. ArrayList can dynamically increase in size once the array that backs is full so, these way we won’t encounter runtime exceptions.

When we say list.get(0), it’s equivalent to array[0]. It can be said the ArrayList is a kind of more convenient way to use dynamic arrays.

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Answer:

B, because no misleading