During spring break, a class of 14 children went to Walt Disney World in Florida. The price for each child’s ticket was $75, while each adult ticket was $85. If the total amount spent on tickets was $1,475, how many adults went on the trip?

Answer:

Step-by-step explanation:

a) x<5 and x>−1

b)x<-1,x>5

c)x=5,x=-1

For the equation:  

y=-|x-2|+3 values of x for below cases are :

a) -|x-2|+3>0  , x ∈ (-1 , 5)

b) -|x-2|+3<0  ,   x ∈ R - [-1 , 5]  or x  ∈ (-∞ , - 1) U ( 5 , ∞)

c)-|x-2|+3=0    ,     x  ∈ {-1 , 5}

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Graph of the equation:  

⇒ y = -|x-2| + 3

To Find: Values of x in below cases:

a) -|x-2|+3>0

b) -|x-2|+3<0

c)-|x-2|+3=0

Solution:

a) -|x-2|+3>0

y=-|x-2|+3

⇒  y > 0

Hence, From the graph y > 0 when x ∈ (-1 , 5)

without using graph :

- |x - 2| + 3 > 0

3 > | x - 2|

| x - 2 | < 3

Case 1 : x - 2 > 0

x - 2 < 3

x < 5

Case2 : x - 2 < 0

x - 2 > - 3

x > - 1

b) -|x-2|+3<0

y=-|x-2|+3

 y < 0

From the graph y > 0 when x < - 1 or x > 5

x ∈ R - [-1 , 5]

or, x  ∈ (-∞ , - 1) U ( 5 , ∞)

without using graph :

-|x-2|+3<0

3 < | x - 2|

| x - 2 | > 3

case 1 : x - 2 > 0

x - 2 > 3

x > 5

case 2 : x - 2 < 0

x - 2 < - 3

x < - 1

a) -|x-2|+3=0

y=-|x-2|+3

y = 0

From the graph y = 0 when x = -1 and 5

x  ∈ {-1 , 5}

without using graph :

-|x-2|+3=0

3 = | x - 2|

| x - 2 | =  3

case 1 : x - 2 = 3

x = 5

case 2 : x - 2 = - 3

x =  - 1

Thus, For the equation:  y=-|x-2|+3 values of x for below cases are :

a) -|x-2|+3>0  , x ∈ (-1 , 5)

b) -|x-2|+3<0  ,   x ∈ R - [-1 , 5]  or x  ∈ (-∞ , - 1) U ( 5 , ∞)

c)-|x-2|+3=0    ,     x  ∈ {-1 , 5}

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These two should be the points as then 2 points will remain on both sides

Slope

Equation in point slope form

When x=-15

Just above 7

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

10m - 15

Step-by-step explanation:

5(2m - 3) = 10m - 15

Step-by-step explanation:

10m-15

times what ever is outside the brackets by the numbers in the brackets

(5*2m minus 5*3)

The given statement "descriptive statistics uses the data to make inferences and predictions about a population based on a sample of data taken from the population in question" is FALSE.

How is this false?

Descriptive statistics is a branch of statistics that studies and summarizes a set of data's main features. It aids in the interpretation of data and drawing conclusions about the population based on sample data. Descriptive statistics are used to provide a quick summary of the data set's key characteristics.

An inference is a statistical method of estimating the characteristics of a population based on a sample's data. It is a method of predicting data in a population based on the observations made in a sample. The primary goal of inferential statistics is to make predictions about a population based on data from a sample of that population.

Predictions are projections or guesses about what might occur in the future. When used in statistics, prediction refers to the use of current data to estimate what might occur later. A statistical model is usually used to make a prediction.

A population is the entire collection of items or individuals about which you want to learn in statistics. A population is made up of all of the objects or people who possess the qualities that the researcher is interested in researching.

A sample is a subset of a population that is used to collect data and conduct statistical analyses. The sample size is typically less than the population size, and data collected from a sample is used to make inferences about the population as a whole.

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To find the percentage of girls in class A, we need to divide the number of girls by the total number of students and then multiply by 100. This gives us:

14 / 20 * 100 = 70%

To find the percentage of girls in class B, we need to divide the number of girls by the total number of students and then multiply by 100. This gives us:

15 / 25 * 100 = 60%

Thus, the percentage of girls in class A is 70%, and the percentage of girls in class B is 60%.

m∠1 = m∠5, because alternate exterior angles are congruent.

Angles formed by intersecting two parallel lines with a transversal are known as angles in parallel lines.

Given:

lines a and b intersect a transversal, c.

The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.

m∠1 = m∠5 (Alternate exterior angles are congruent)

m∠1 = m∠5, because alternate exterior angles are congruent.

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The Complete Question is attached below.

Answer:

1.) If. y=mx+b.

2.) subtracting b from both sides. y−b=mx.

3.) dividing both sides by m. y−bm=x.

4.) flipping the sides (to make it look more normal) x=y−bm.

Step-by-step explanation:

Answer:

y=4 and x=-1

Step-by-step explanation:

so in the first equation get x by itself so subtract 2x and subtract y and then divide by two so you should have x=1+y/2

then in the second equation plug in 1+y/2 for x

y=7(1-y/2)+11

(distribute) y=7-7y/2+11

y=18-3.5y

(add 3.5y) y+3.5y=18

4.5y=18

divide by 4.5 and y=4

now go back to the first equation and solve for x

4=-2x+2

2=-2x

x=-1

Answer:

Option D

Step-by-step explanation:

Given

\((5, 7), (7, 11). (9, 14). (11, 18)\)

Required

Determine if the function is quadratic

\((5, 7), (7, 11). (9, 14). (11, 18)\)

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

Next; Calculate the difference between the values of y

\(Difference: 11 - 7 = 4\)

\(Difference: 14 - 11 = 3\)

\(Difference: 18 - 4 = 4\)

The resulting difference are: 4 || 3 || 4

Next; Calculate the difference between the difference of values of y

\(Difference = 3 - 4 = -1\)

\(Difference = 4 - 3 = 1\)

The resulting difference are: -1 || 1

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Option D answers the question

The expected number of cards Percy turns over before stopping = 3.78≈3

Probability refers to the chance of occurrence of an event E.

Let E be an event and P(E) be the probability of E occurring.

Then, P(E) = \(\frac{Number Of Favourable Outcomes Of E}{Total Number Of Outcomes}\)

Now, given a 52-card deck; cards are turned over till a spade comes up.

Then, the number of cards turned over is the sum of all card over 'kth' card, having probability \(P_{k}\), where, the card 'k' comes up if no previous card was a spade.

=> \(P_{k}=\frac{\binom{39}{k}}{\binom{52}{k}} = \frac{39!(52-k)!}{52!(39-k)!}\)

\(\sum^{39}_{k=0} (P_{k})=\frac{39!}{52!} \sum^{39}_{k=0}(\frac{(52-k)!}{(39-k)!}=\frac{53}{14} = \frac{52+1}{13+1}=3.78\)

Hence, after 3.78≈3 cards, Percy will stop turning the cards.

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Answer:

-16t^2 - 16t + 180 = 0

4t^2 + 4t - 45 = 0

t = (-4 + √(4^2 - 4(4)(-45))/(2×4)

= (-4 + √736)/8 = (-4 + 4√46)/8

= (-1 + √46)/2 = 2.89 seconds

The exact value of \( \cos \frac{\theta}{2} \) is \( - \sqrt{\frac{2}{5}} \). he exact value of \( \cos \frac{\theta}{2} \), we can use the half-angle formula for cosine.

The formula states that \( \cos \frac{\theta}{2} = \pm \sqrt{\frac{1 + \cos \theta}{2}} \), where the sign depends on the quadrant in which \( \frac{\theta}{2} \) lies.

Given that \( \cos \theta = -\frac{3}{5} \) and \( \sin \theta > 0 \), we can determine the value of \( \cos \frac{\theta}{2} \) as follows:

Since \( \cos \theta = -\frac{3}{5} \) and \( \sin \theta > 0 \), we know that \( \theta \) lies in the second quadrant. In the second quadrant, both sine and cosine are negative.

Using the half-angle formula for cosine, we substitute \( \cos \theta = -\frac{3}{5} \) into the formula:

\( \cos \frac{\theta}{2} = \pm \sqrt{\frac{1 + \cos \theta}{2}} = \pm \sqrt{\frac{1 - \frac{3}{5}}{2}} = \pm \sqrt{\frac{2}{5}} \)

Since \( \theta \) lies in the second quadrant and both sine and cosine are negative, we take the negative sign: \( \cos \frac{\theta}{2} = - \sqrt{\frac{2}{5}} \)

Therefore, the exact value of \( \cos \frac{\theta}{2} \) is \( - \sqrt{\frac{2}{5}} \).

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The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.

The z score formula is given by;`z = (x - μ) / σ`

Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.

The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`

The value of z is 1.

To find the area in the right tail, use the standard normal distribution table.

The table value for z = 1.0 is 0.8413.

Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

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Answer:

Contrapositive: if a polygon does not have more than 3 sides, then it is a triangle. Since it is a true statement, the contrapositive is a true statement, the original statement must be a true statement.

Step-by-step explanation:

Original statement: if a polygon has more than three sides, then it is not a triangle.

Let P = a polygon has more than three sides

Let Q = it is not a triangle

Conditional statement: If P, then Q

Contrapositive statement: if not P, then not Q.

If a conditional statement is true, then the contrapositive is true.

If a contrapositive statement is true, then the contrapositive is true

There are 8 different trips that can be made from City X to City Z, passing through City Y.

To find the number of different trips that can be made from City X to City Z, passing through City Y, we can use the multiplication principle of counting.

First, we need to choose one of the 2 major roads from City X to City Y. Then, for each of these roads, there are 4 major roads from City Y to City Z, and we need to choose one of these roads.

By the multiplication principle of counting, the total number of different trips from City X to City Z, passing through City Y, is the product of the number of choices at each stage. Thus, we get:

Number of different trips = Number of roads from City X to City Y x Number of roads from City Y to City Z

= 2 x 4

= 8

This calculation shows how the multiplication principle of counting can be used to find the total number of possible outcomes in a multi-stage process where the number of choices at each stage is known.

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Complete question is:

Automobile Trips. There Are 2 Major Roads From City X To City Y And 4 Major Roads From City Y To City Z. How Many Different trips can be made from City X to City Z, passing through City Y?

Answer:

C

Step-by-step explanation:

Sana nakatutulong

#Carry on learning

Pa brainliest po

Answer:

9

Step-by-step explanation:

cuz yes

Answer:

x = 2/3x + 5 1/2 = -10 = x = -93/4

Step-by-step explanation:

The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.

The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:

1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.

2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.

3. Compressing or stretching: There is no compression or stretching factor present in this particular function.

Graph of the basic function f(x) = |x|:

The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:

To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.

Domain of f(x) = -2|x - 3| + 2:

The domain of the given function is all real numbers since there are no restrictions on the input values of x.

Range of f(x) = -2|x - 3| + 2:

The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.

Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.

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Answer:

jonwjwjejejeken 20 ow91

Answer:

40

Step-by-step explanation:

total: 56+80+40+24 = 200

(80x100)/200

Answer:

What you first want to do is see what all of the numver of students add up to:

80 + 40 = 120

120 + 24 = 144

144 + 56 = 200

So there are a total of 200 votes. 40 of the 200 vote mystery, so you need to find how many times 40 will go into 200. To find this you can just divide.

200/40 = 5

5% prefer mystery books!

Step-by-step explanation:

Hope it helps! =D

I think I did the math wrong, but just by looking Im pretty sure its 5%

Answer:

B

Step-by-step explanation:

We have to find which trinomial has:

1) two terms that are the perfect square of two numbers

2) a terms that is the double product of the two numbers

the first condition is satisfied by A and B, but only B satisfied the second., in fact the trinomial can be rewrite as: (2a-5)^2

Options C and D are traps because the square of a number can’t be negative

This problem can be solved using a system of equations. Let x be the number of nickels and y be the number of dimes. We know that the total number of coins is 23, so we can write the first equation:

x + y = 23

We also know that the total value of the coins is $2.20. Since nickels are worth $0.05 and dimes are worth $0.10, we can write the second equation:

0.05x + 0.1y = 2.2

Now we have a system of two equations with two variables. To solve for x and y, we can use substitution or elimination method.

Substitution method:

We can solve for one variable in one equation, and substitute it into the other equation.

From the first equation: x + y = 23

y = 23 - x

Substitute this into the second equation

0.05x + 0.1(23-x) = 2.2

0.05x + 2.3 - 0.1x = 2.2

-0.05x = -0.1

x = 2

So, Bob has 2 nickels in his pocket. We can substitute this value of x back into the first equation to find the number of dimes:

x + y = 23

2 + y = 23

y = 21

Bob has 21 dimes in his pocket.

Elimination method

We can multiply one equation by a constant so that when we add the two equations, one variable will cancel out.

x + y = 23

0.05x + 0.1y = 2.2

multiply the first equation by 5

5x + 5y = 115

add both equations

5x + 5y = 115

0.05x + 0.1y = 2.2

5x + 0.05x = 115+2.2

5.05x = 117.2

x = 23.2/5.05 = 2

So, Bob has 2 nickels in his pocket. We can substitute this value of x back into the first equation to find the number of dimes:

x + y = 23

2 + y = 23

y = 21

Bob has 21 dimes in his pocket.

Both methods give the same result, which is Bob has 2 nickels and 21 dimes in his pocket.

Answer:

Step-by-step explanation:

x + y = 23

.05x + .10y = 2.20

5x + 10y = 220

-5x -5y = 115

5y = 105

y = 21 dimes

x + 21 = 23

x = 2 nickels

(2 nickels, 21 dimes)

The value of 'b' will be;

⇒ b = 7 / 11

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 40 - 11b + 7 = 40

Now,

Solve the expression for b as;

The expression is,

⇒ 40 - 11b + 7 = 40

⇒ - 11b + 7 = 0

⇒ 11b = 7

⇒ b = 7 / 11

Thus, The value of 'b' will be;

⇒ b = 7 / 11

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Answer:

So the equation of the line that passes through (3, 1) and (0, 10) is y=-3x+10

Step-by-step explanation:

(3, 1) and (0, 10)

m=y²-y¹/x²-x¹

m=10-1/0-3

m=9/-3

m=-3

y=mx+b

y-y=m(x-x1)

y-1=-3(x-3)

y-1=-3x+9

+1 +1

y=-3x+10

Answer: 105 miles

Step-by-step explanation:

You can write an equation for this problem and solve it.

32 miles=1/3x-3, where x is equal to the total length of the highway.

35=1/3x, and then you multiply by 3, to get x=105

Answer:

3 is -3, 4 is 3

Step-by-step explanation:

In slope intercept form (y = mx+b)

m is the slope

b is the y-intercept

y = mx+b

y = -1(x) + 3

b = 3

Answer:

3

Step-by-step explanation:

The y-intercept is the point that crosses the y-axis

mx+b would be the form and the b is your y-intercept

Triangle ABC can be proved congruent to Triangle CDE thanks to the SAS Congruence Postulate.

To prove that triangles ABC and CDE are congruent, we shall apply the SAS (Side-Angle-Side) Congruence Maxim. This rule articulates that if two sides with their related angles of one triangle are equivalent to the corresponding sides and angles of another triangle, then the two triangles are congruent.

Given what is provided, Side AB is proportionate to side DC; angle ABC is cognate to angle CDE; further still, side AC closely corresponds to side CE. Utilizing this data in combination with the SAS Congruence Maxim, triangle ABC can be validated as being congruent to triangle CDE.

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Answer:

Triangle B A C is similar to triangle E D F

Step-by-step explanation:

That's by SAS Theorem.

Hope you got it this may helps u ???