A total of 190 people attended the opening night of a school
musical. Student tickets cost $4.50 each while general
admission tickets cost $6 each. If total sales were $996, how
many general admission tickets were sold?

This data collection may be characterized as numerical and univariate.

A numerical univariate data is discrete if the totality of all possible values is finite or countably infinite. Usually, counting is done using discrete univariate data (such as the number of books read by a person). A numerical univariate data is continuous if the range of all possible values is a set of integers.

Different categories of data that can be categorized are represented by categorical variables. Examples of categorical variables are race, sex, age group, and educational attainment.

Categorical data are data kinds that can be stored and identified depending on the names or labels given to them.

Data that is expressed as numbers rather than in any linguistic or descriptive form is referred to as numerical data. As it validates data before classification, it is also known as qualitative data.

Over here we have the data for the average time spent reading per day for students in an 8th grade class.

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The Question attached here is Complete. The Complete Question is

The chart shows the average time spent reading per day for students in an 8th grade class.

The line plot is titled minutes of reading per day, and the horizontal axis is labeled minutes of reading per day. There are 5 dots at 30, 1 dot at 33, 5 dots at 35, 1 dot at 36, 1 dot at 37, 3 dots at 40, 1 dot at 44, one dot at 46, 1 dot at 47, and 1 dot at 50.

Which of the following describes this data set?

Categorical and bivariate

Categorical and univariate

Numerical and bivariate

Numerical and univariate

Answer:

The answer is 2,000,

Step-by-step explanation:

Probability :- Probability is a way to gauge how likely something is to happen. It is represented by a number between \(0\) and \(1\), with \(0\) denoting an impossibility and \(1\) denoting a certainty. By dividing the number of favorable outcomes by the total number of possible outcomes, the probability of an event is determined.

A total of  \(32 + 40 + 300 = 372\)  children either take bus number seven, bus number ten, or walk to school.

The proportion of students that ride bus \(7\) or bus \(10\) to the total number of students determines the likelihood that a student will board either bus \(7\)or bus \(10\).

\(P(taking bus number seven or ten) = (32 + 40) / 1000\)

\(P(taking bus number seven or ten) = 72/1000\)

\(P(using bus number 7 or ten) = 0.072\)

Therefore, the probability that the student either rides on bus 7 or rides on bus 10 is 0.072 or 7.2%.

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Answer:

(A) There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.

(B) Saturday has the highest percentage of traffic accidents.

Step-by-step explanation:

(A)

The Chi-square goodness of fit test would be used to determine if the proportion of traffic accidents is the same for each day of the week.

The hypothesis for the test can be defined as follows:

H₀: The proportion of traffic accidents is the same for each day of the week.

Hₐ: The proportion of traffic accidents is not same for each day of the week.

Assume that the significance level of the test is, α = 0.05.

The Chi-square test statistic is given by:

\(\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}\)

Compute the values in Excel.

The expected frequency for all the days is 60.

The Chi-square test statistic value is, 14.333.

Compute the p-value using the Excel function "=CHISQ.DIST.RT(14.33,6)".

p-value = 0.0262

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

The p-value is less than 0.05.

The null hypothesis will be rejected.

Conclusion:

There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.

(B)

Compute the percentage of traffic accidents occurring on each day of the week as follows:

\(\text{Sunday}=\frac{66}{420}\times 100\approx 16\%\\\\\text{Monday}=\frac{50}{420}\times 100\approx 12\%\\\\\text{Tuesday}=\frac{53}{420}\times 100\approx 13\%\\\\\text{Wednesday}=\frac{47}{420}\times 100\approx 11\%\\\\\text{Thursday}=\frac{55}{420}\times 100\approx 13\%\\\\\text{Friday}=\frac{69}{420}\times 100\approx 16\%\\\\\text{Saturday}=\frac{80}{420}\times 100\approx 19\%\)

Saturday has the highest percentage of traffic accidents.

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

It will take them 3.5 hours to paint the room.

Step-by-step explanation:

Step 1: Add the number of hours it takes them together

    A. 6 + 8

Step 2: Divide the total number of hours by two (since two people are working together)

    B. 12 / 2 = 7 hours

Step 3: Divide by two again since you now have twice the speed

    C. 7 / 2 = 3.5 hours

Answer:

34º

Step-by-step explanation:

The sum of the angles in a triangle is 180º

m∠Q = 180 - 90 - 56

m∠Q = 34º

Answer:

The answer to the first question is the first option

The answer to the second question is the third option

the answer to the third one is the second option

Step-by-step explanation:

*I'm not 100% sure about these but it's probably right*

Answer:

1. First one

2. Third one

3. Second on

Step-by-step explanation:

(★ ω ★)

Answer:

sigma should be used

Step-by-step explanation:

Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.

The above given is for sample of 27 size.

For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.

But once population std deviation is given, we use only that as that would be more reliable.

So here we can use population std deviation 1.4 only.

If population std deviation is used we can use normality and do Z test

Hope this helps ;)

Answer:

4/3 (x) = 28/3

*divide both sides by 4/3

4/3 (x) ÷ 4/3 = 28/3 ÷ 4/3

x = 7

To solve this problem, we need to convert all the measurements to a consistent unit. Let's convert the height to inches since the height of the bounce is given in inches.

64 ft = 64 * 12 inches = 768 inches

Now, we can set up an equation to represent the height of each bounce. Let's use "b" to represent the number of bounces, and "h" to represent the height of each bounce in inches.

The height of each bounce is three-fourths (3/4) the height of the previous bounce. So, we can write the equation as:

h = (3/4) * h_previous

where h_previous is the height of the previous bounce.

We know that the initial height of the ball is 768 inches, and we want to find the number of bounces when the height of the bounce is less than 9 inches. We can set up an inequality to represent this situation:

h < 9

Substituting the expression for h from the equation above, we get:

(3/4) * h_previous < 9

Now, we can start with the initial height of 768 inches and keep applying the equation for each bounce until the height of the bounce is less than 9 inches.

1st bounce:

h = (3/4) * 768 = 576 inches

2nd bounce:

h = (3/4) * 576 = 432 inches

3rd bounce:

h = (3/4) * 432 = 324 inches

4th bounce:

h = (3/4) * 324 = 243 inches

5th bounce:

h = (3/4) * 243 = 182.25 inches

6th bounce:

h = (3/4) * 182.25 = 136.6875 inches

7th bounce:

h = (3/4) * 136.6875 = 102.515625 inches

8th bounce:

h = (3/4) * 102.515625 = 76.88671875 inches

9th bounce:

h = (3/4) * 76.88671875 = 57.6650390625 inches

10th bounce:

h = (3/4) * 57.6650390625 = 43.248779296875 inches

So, the ball will bounce up to a height less than 9 inches after 10 bounces.

Step-by-step explanation:

For RIGHT triangles such as this one:

sin (60) = opposite LEG/ hypotenuse =  sqrt(3) / 2  / CB       solve for CB

tan (60°) =  opposite LEG / adjacent LEG = sqrt(3)/2  / AC    solve for AC

The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

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Answer:

10 and 15

Step-by-step explanation:

A quadrilateral will measure a total of 360 degrees. We already know that the measurements of other angles were 305 and 30. That's a total of 335 degrees. Subtract that from 360 to find out how many are left in the shape.

360 - 335 = 25. The other two angles are in a ratio 2:3. So you need to find numbers that add up to 25 in a ratio of 2:3

If you multiply that ratio by 5, you get 10:15. 10 and 15 add up to 25, so those are your other angles.

Answer:

1/3

Step-by-step explanation:

y=1/3x+5

This is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 1/3

Answer:add 5 and 4, you get 9. divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share.

Step-by-step explanation:

Answer:

Sam gets £30

Bethan gets £24

Step-by-step explanation:

Since they split the money in a ratio of 5:4, that means for every 5 parts of the money that Sam gets, Bethan gets 4 parts. The total of 5 parts and 4 parts is 9 parts.

To find how much each part is, we divide £54 by 9.

£54/9 = £6

Each part is £6.

Sam gets 5 parts: 5 × £6 = £30

Bethan gets 4 parts: 4 × £6 = £24

Answer:

1,112

Step-by-step explanation:

923*45=50040

His break-even sales volume will be 1,112.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The founder says his product has a gross margin of $45 per unit

And, He has fixed expenses of $50,000.

Now,

Since, The founder says his product has a gross margin of $45 per unit

And, He has fixed expenses of $50,000.

Hence, The break-even sales volume = 50,000 /  45

                                                          = 1,112

Thus, His break-even sales volume will be 1,112.

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A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.

B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.

A) Let's define the variables:

Let x represent the number of children attending.

Let y represent the number of adults attending.

On Saturday night:

The equation for the revenue generated on Saturday night is:

4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).

Matinee on the second day:

The equation for the revenue generated at the matinee is:

3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).

Therefore, the system of equations in standard form is:

4x + 5y = 540

3x + 5y = 440

B) Let's rewrite the system of equations in slope-intercept form:

On Saturday night:

4x + 5y = 540

Rearranging the equation, we get:

5y = -4x + 540

Dividing both sides by 5, we get:

y = (-4/5)x + 108

The y-intercept of this equation is 108.

Matinee on the second day:

3x + 5y = 440

Rearranging the equation, we get:

5y = -3x + 440

Dividing both sides by 5, we get:

y = (-3/5)x + 88

The y-intercept of this equation is 88.

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The amount of water left in the tub after 5 minutes is; 24 gallons

The given recursive formula is expressed as;

aₙ = aₙ ₋ ₁ - 12

We are told that a₀ represents the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled.

Thus, when n = 1, we have;

a₁ = a₁ ₋ ₁ - 12

a₁ = a₀ - 12

a₁ = 84 - 12

a₁ = 72

Then;

a₂ = a₁ - 12

a₂ = 72 - 12

a₂ = 60

It will seem that it follows a sequence pattern of;

aₙ = 84 - 12n

Thus;

a₅ = 84 - 12(5)

a₅ = 24 gallons

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The answer is the A because they are similar and congruent

Answer:

A

Step-by-step explanation:

The matched opposites are G and W.

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

G = -6 and W = +6, they are opposite to each other.

This means, same number 6 with opposite signs + and -

Therefore, the answer is C) G and W

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Answer:

open circle on negative two going to the right

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

Answer:

3600 steps

Step-by-step explanation:

Step 1: Multiply 45 by 8000.

Step 2: Move the decimal point two places to the left.

Therefore, the answer is 3600 steps.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The percentage discount is 95 percent

A percentage discount is a reduction in price that is expressed as a percentage of the original price.  Percentage discounts are commonly used in retail sales and promotions to incentivize customers to make purchases.

To determine the percentage discount of the orange, we can find the original price.

0.75 * 7 = 5.25

This is the cost of orange

The total amount charged = 4.30

The discount = 5.25 - 4.30 = 0.95

The percentage discount will be;

percentage discount = 0.95 * 100 = 95%

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The description that matches the inequality x < 1 is:

All the points to the left of x = 1 are part of the solution, and there is an open interval at x = 1.

The values that are less than a number a in the number line are the values to the left of a.

Hence, for the inequality x < 1, we have that:

All the points to the left of x = 1 are part of the solution

Additionally, since the inequality signal is < and not ≤ 1, x = 1 is not part of the inequality, meaning that there is an open interval at x = 1.

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Out of the given statements, statement a. If 4 is a prime number, then 6 is a prime number is the false one. A prime number is a positive integer that has exactly two distinct natural number divisors: 1 and itself.

For example, the number 2 is a prime number because it can only be divided evenly by 1 and 2. 4 is not a prime number because it can be divided evenly by 1, 2, and 4. 6 can be divided evenly by 1, 2, 3, and 6, so it is not a prime number. Therefore, statement a is false because if 4 is a prime number, 6 is not a prime number.

When determining whether a number is a prime number, it is important to remember that 1 is not a prime number. This is because 1 only has one divisor - itself. Any other number that can be divided evenly by more than two distinct natural numbers is not a prime number.

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