What is the axis of symmetry of the absolute value function y=-2|x+4.5|-1.4?
A. x= -4.5
B. X= 4.5
C. X= 1.4
D. x= -1.4

Answer:

(a) The average baggage-related revenue per passenger is $15.70.

(b) The standard deviation of baggage-related revenue is $19.95.

(c) The expected revenue for 120 passengers is $1,884.

Step-by-step explanation:

Let the random variable X represent the baggage-related revenue per passenger.

It is provided that the baggage fees is $25 for the first bag and $35 for the second.

The probability model is:

    X :   0         25      60

P (X) : 0.54    0.34    0.12

(a)

Compute the average baggage-related revenue per passenger as follows:

\(E(X)=\sum {X\times P (X)}\)

         \(=(0\times 0.54)+(25\times 0.34)+(60\times 0.12)\\\\=0+8.50+7.20\\\\=15.70\)

Thus, the average baggage-related revenue per passenger is $15.70.

(b)

Compute the standard deviation of baggage-related revenue as follows:

\(E (X^{2})=\sum X^{2}\times P(X)}\\\\=(0^{2}\times 0.54)+(25^{2}\times 0.34)+(60^{2}\times 0.12)\\\\=0+212.50+432\\\\=644.5\\\)

\(SD(X)=\sqrt{E(X^{2})-(E(X))^{2}}\)

           \(=\sqrt{644.5-(15.7)^{2}}\\\\=19.950188\\\\\approx 19.95\)

Thus, the standard deviation of baggage-related revenue is $19.95.

(c)

Compute the expected revenue for 120 passengers as follows:

\(E(R)=n\times E(X)\)

        \(=120\times 15.7\\\\=1884\)

Thus, the expected revenue for 120 passengers is $1,884.

Answer:

Perimeter of ΔABC =32.31 units

Area of the triangle ABC = 47.81 sq. unit

Step-by-step explanation:

In triangle ABC

\(\angle A = 60^{\circ}\\\angle C = 45^{\circ}\)

Angle sum property of triangle : The sum of the measures of the all angles of triangle is 180°

\(\angle A + \angle B + \angle C = 180^{\circ}\\60 + \angle B + 45 = 180\\\angle B + 105 = 180\\\angle B = 75^{\circ}\)

Now we are supposed to find the perimeter and the area of the ΔABC

We will use the sine rule to find the lengths of sides BC and AC

Sine rule : \(\frac{Sin A}{BC}=\frac{Sin B}{AC}=\frac{Sin C}{AB}\)

\(\frac{Sin 60}{BC}=\frac{Sin 75}{AC}=\frac{Sin 45}{9}\\BC \times sin(45) = 9 \times sin(60)\\ BC = 11.02\)

\(AC \times sin(45) = 9 \times sin(75)\)

AC = 12.29

Perimeter of ΔABC = AB + BC + AC

Perimeter of ΔABC = 9 + 11.02 + 12.29 =32.31 units

Area by using the sine rule:

Area of the triangle ABC =\(\frac{1}{2} (AB)(BC) sin B\)

Area of the triangle ABC =\(\frac{1}{2} (9)(11) sin(75)\)

 Area of the triangle ABC = 47.81 sq. unit

Answer:

+ 5, - 5

Step-by-step explanation:

p^2 - 8 = 17

p^2 = 17 + 8

p^2 = 25

      = 5 x 5

p^2 = 5^2

p = ± 5

The corresponding p-value is 0.147 rounded to three decimal places.

Now, For find the p-value, we need to use a t-distribution with (n - 1) degrees of freedom,

where n is the sample size.

Since n = 50,

Hence, we have;

n - 1 = 50 - 1 = 49 degrees of freedom.

Hence, Using a t-table or calculator with 49 degrees of freedom, we find that the p-value for a t-statistic of -1.07 is approximately 0.147.

Therefore, the corresponding p-value is 0.147 rounded to three decimal places.

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To find the solution to the system of equation

we will use the elimination method

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

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

We will eliminate y and solve for x

multiply equation (1) through by 3

9x - 3y = - 15 ------------------------------------(3)

add equation (2) and equation (3)

11x = -11

divide both-side of the equation by 11

x = -1

substitute x = -1 in equation (1) and solve for y

3x - y = - 5

3(-1) - y = -5

-3 - y = -5

add 3 to both-side of the equation

- y = -5 +3

-y = -2

multiply through byb -1

y = 2

Hence, the correct option is B

The required volume of the given rectangular prism is given as 240 in ³.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
From the data we have,
Length of the rectangle prism = 12 in
Width of the rectangle prism = 2 in
Height of the rectangle prism = 10 in

The volume of the rectangular prism = length × width × height
                                                 = 12 × 2 × 10
                                                 = 240 in ³

Thus, the required volume of the given rectangular prism is given as 240 in ³.

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The question is incomplete.
Complete question is," Calculate the volume of the prism of dimensions length, width and height are 12, 2, and 10 respectively. "

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

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Answer:

you just add 35 to her bill

Answer:

answer is 15

so uh A is 15 and A is what you hope to get on this thing

Answer:

A. Both ends go down.

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

If we graph the function, we can see that when x goes to -∞, y also goes to -∞.

We also see that when x goes to ∞, y still goes to -∞.

Therefore, both ends of the graph would head towards -∞, making A. the correct answer choice.

Answer:Both ends go down

Step-by-step explanation:

Answer:

x^2 + 91x + 2500

-----------------------------------------------------------------------------

x^2 + 3x + 50

(x-r)(x-s)

-> x^2-(r+s)x+rs

rs = 50, r + s = -3

-> (rs)^2 = 2500

(r+s)^2 = 9

-> r^2 + 2rs + s^2 = 9

-> r^2 + 2(50) + s^2 = 9

-> r^2 + s^2 + 100 = 9

-> r^2 + s^2 = -91

(x-r^2)(x-s^2)

-> x^2-(r^2+s^2)x+(rs)^2

-> x^2 - (-91)x + 2500

x^2 + 91x + 2500

Answer:

30

Explanation:

Given:

To find:

The number of possible outcomes

The first event(flipping a coin) has 2 possible outcomes = Head or Tail

The second event(picking a card) has 5 possible outcomes = P, Q, R, S, T

The third event (spinning the spinner) has 3 possible outcomes = 1, 2, 3

So the total number of possble outcomes = 2 * 5 * 3 = 30

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

9,000/10

Step-by-step explanation:

hope that this helps! :)

From the image given, inequality is -2≤x<8 from x≥-2, x<8. It serves as a concrete example of inequality.

Broadly speaking, a mathematical phrase that defines an order relationship between two integers equivalent algebraic expressions, showing whether one is bigger than, equal to, smaller than, or smaller than and equal to the other.

The sentence "5x - 4 > 2x + 3" seems like an equation because the mathematical sign for "equals" has indeed been replaced by an arrowhead. It serves as a concrete example of inequality. From the image given, inequality is -2≤x<8 from x≥-2, x<8.

Therefore, from the image given, inequality is -2≤x<8 from x≥-2, x<8.

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Answer: I'm sure Option 4 Could help you find your answer.

Step-by-step explanation:

y=−6x+5−2x+y=5

Hope this helps.

Water vapor is created when liquid water evaporates, and this water vapor then develops into clouds and falls back to earth as rain and snow.

Weather is the culmination of the present meteorological variables, such as temperature, wind speed and direction, precipitation amount and kind, weather is great hours, etc. The weather dictates a little window of time up over several days.

What you perceive outside when any given day is the weather. Therefore, for instance, it may be 20 ° with heavy snow or it could be 75 degrees and sunny. That is the climate. The average of the weather is the climate.

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Answer:

Gina would receive $16 equivalent to 2^4 on Thursday from her grandfather

Step-by-step explanation:

A. 2^5

B. 2^4

C. 2^3

D. 2^2

Gina gets:

Monday =$2 = $2^1

Tuesday =$4 = $2^2

Previous day's amount get multiplied by 2

Wednesday = Tuesday's amount × 2

= $4 × 2

= $8

= $2^3

Thursday = Wednesday's amount × 2

= $8 × 2

= $16

= $2^4

Gina would receive $16 equivalent to 2^4 on Thursday from her grandfather

Answer:

What are the answers? I'm a bit confused what im supposed to answer if there are no answers there

Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

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floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

THIS PIC WILL ALSO HELP U

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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Answer:

Small: 7

Large:13

Step-by-step explanation:

I worked it out, hope this helps

Answer:

Answer:

Small: 7

Large:13

Step-by-step explanation:

I worked it out, hope this helps

Answer:

(b) \(\left[ \begin{array}{c c c} 1 & 26 & 7\end{array} \right]\)

Step-by-step explanation:

First, we can determine the dimensions of the matrix that results from this multiplication by looking at the dimensions of each of its matrix factors:

( in the form \(\text{rows} \times \text{columns}\) )

1st matrix →   \(1 \times 3\),   \(3\times 3\)   ← 2nd matrix

To get the dimensions of the resulting matrix, we can take out the inner two dimensions to get the number of rows from the 1st matrix and the number of columns from the 2nd matrix (which become the rows and columns of the resulting matrix).

\(1\times \not 3, \ \not3 \times 3 \implies 1\times 3\)

So, the resulting matrix will have 1 row and 3 columns. Using this knowledge, we can immediately identify (b) and (c) as possible correct answer choices.

We can find the values in the resulting matrix by multiplying the rows of the first matrix by the columns of the second matrix:

\(\left[ \begin{array}{c c c}\left(-1\right)\cdot \:3+2\cdot \:2+4\cdot \:0&\left(-1\right)\cdot \:6+2\cdot \:4+4\cdot \:6&\left(-1\right)\cdot \:1+2\cdot \:0+4\cdot \:2\end{array} \right]\)

\(\boxed{\left[ \begin{array}{c c c} 1 & 26 & 7\end{array} \right]}\)

So, (b) [  1  26  7  ] is the correct answer.

These are a legitimate probability distribution:

To have a legitimate probability distribution, the probabilities for all possible values of X must satisfy two conditions:

Each probability value must be between 0 and 1, inclusive.

The sum of all probability values must equal 1.

Check if the given probabilities satisfy these conditions:

P(X=-3) = 0.14 (valid)

P(X=1) = 0.1 (valid)

P(X=3) = 0.135 (valid)

P(X=5) = 0.306 (valid)

Now, calculate the remaining probability to check if it satisfies the second condition:

P(X=6) = 1 - (P(X=-3) + P(X=1) + P(X=3) + P(X=5))

P(X=6) = 1 - (0.14 + 0.1 + 0.135 + 0.306)

P(X=6) = 1 - 0.681

P(X=6) = 0.319

Since the calculated probability is valid (between 0 and 1), There is a legitimate probability distribution for the discrete random variable X:

P(X=-3) = 0.14

P(X=1) = 0.1

P(X=3) = 0.135

P(X=5) = 0.306

P(X=6) = 0.319

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The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.

When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.

The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.

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Answer:

B

Step-by-step explanation:

They basically give the answer.

Answer:

I am a bit confused. You stated that "Sabrina is going to make 1, batches of cookies" and you also wrote "for one batch of cookies, Sabrina needs 2 cups of flour." Hence, your answer should be 2 cups like you previously stated. However, I think that the question is wrong.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Minor arcs are arcs that are less than 180°. If that is the case, then our only option would be A.