An ice skating show earned 15,385 in one night. Tickets for the show cost $25 for adults and $15 for children. The number of adults who attendee the shw was 41 more than the number of children who attended the show. How many adults and children attended the show?

Jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result is slight reduction .slight reduction means small in quantity or extent. 2 of small importance; trifling. slim and delicate.  lacking in strength or substance.

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Answer:

option c: angle 3 and angle 5

Step-by-step explanation:

The two integers between which the elevation of the Java Trench lies are -4 and -5.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

In Mathematics, there are six (6) common types of numbers and these include the following:

An integer can be defined as a whole number that may either be positive, negative, or zero.

Elevation = -25344/5280

Elevation = -4.8 miles.

Therefore, the two integers between which the elevation of the Java Trench lies are -4 and -5.

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Complete Question:

The deepest point in the Indian Ocean is the Java Trench, which is  25344 feet below sea level. Elevations below sea level are represented by negative numbers. A mile is 5280 feet. Between which two integers is the elevation in miles?

The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.

Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.

Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.

Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".

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The function that represents the given equation is:

f(x) = 3x + 8

The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.

Adding 12x to both sides, we get 4y = 12x + 32.

To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.

Hence, the function that expresses y as a function of x is:

f(x) = 3x + 8.

Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.

In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.

Therefore, the function that represents the given equation is:

f(x) = 3x + 8

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Answer:

She is 30

Explanation:

Because if you read it right it says "Emmett is 4 years older than Liam." Also you had a grammar error in it.

If the p-value is less than the level of significance set for the test, this means that there is enough evidence to reject the null hypothesis.

What is the null hypothesis?

The assertion that there is no relationship between the two sets of data or variables under investigation is known as the null hypothesis. The null hypothesis is that any experimentally observed difference is due to chance alone, and an underlying causative relationship does not exist, hence the term "null".

Here,

If the p-value is smaller than the level of significance then we have to find the conclusion we should reach that the given statement is correct.

We concluded that If the p-value is less than the level of significance set for the test, this means that there is enough evidence to reject the null hypothesis.

Hence, option c) is correct which is to reject the null hypothesis.

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The correct answer is the minimal cover of F is:F = {AB→C, AB→S, AB→E, ES→S}

Given, relation schema R(ABC,DE) with functional dependencies F:AB→SCDE→ABAB→SEES→C.

The candidate key of a relation R is a minimal set of attributes that can uniquely identify each tuple in R. To find the candidate key, we can compute the closure of each subset of attributes in R. Let's begin by finding the closure of AB, the subset of R. We can use the functional dependency AB→SC to compute the closure of AB as follows: AB+ = ABSC (by AB→SC)

Next, let's compute the closure of DE, the other subset of R. We can use the functional dependency DE→AB to compute the closure of DE as follows: DE+ = DEABSE (by DE→AB and AB→SE)

Now we have two potential candidate keys, AB and DEABSE. However, we need to check if they are minimal. To do this, we check if any subset of these candidate keys can also function as a candidate key. We can see that neither AB nor DEABSE has any proper subset that can function as a candidate key.

Therefore, both AB and DEABSE are candidate keys for the relation R. Next, let's compute the minimal cover of F. The minimal cover of a set of functional dependencies F is a minimal set of functional dependencies that is equivalent to F.

To find the minimal cover of F, we can use the following steps:

Step 1: Eliminate redundant dependencies. We can eliminate the dependency AB→SC since it is implied by AB→C.

Step 2: Decompose dependencies. We can decompose the dependency AB→SE into two dependencies, AB→S and AB→E, since S and E are not a subset of any other attribute set in F.

Step 3: Eliminate extraneous attributes. We can eliminate the attribute C from the dependency ES→C since C is already determined by AB→C.

Therefore, the minimal cover of F is:F = {AB→C, AB→S, AB→E, ES→S}

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Answer: $3.50

Step-by-step explanation:28/8=3.5

=3.50

Answer: h=3.50

Step-by-step explanation:28/8=h. This is the equation because in order to find the answer you must find the unit rate. In order to do so you grab the total cost and than the amount of something and divide them in order to find the answer.

Answer: A: 4

Step-by-step explanation:

the x's are changing by 2 and the y's are changing by 8. 8/2=4

Answer:

Slope: 4

Step-by-step explanation:

Using Slope formula: y2-y1/x2-x1 we can take 2 points from the table and plug them into the formula. so I used points (5,2)p1 and (7,10)p2.

10-2=8

7-5=2. 8/2 is the slope, or 4 because 8 divided by 2=4.

-Hope this helped

Answer:

$840

Step-by-step explanation:

4 weeks = 28 days

28 x 30 = 840

Answer:

x ≈ 8.57

Step-by-step explanation:

The ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

\(\frac{8}{6}\) = \(\frac{20-x}{x}\) ( cross- multiply )

8x = 6(20 - x) , distribute

8x = 120 - 6x ( add 6x to both sides )

14x = 120 ( divide both sides by 14 )

x ≈ 8.57 ( to the nearest hundredth )

Answer:

15 metters

Step-by-step explanation:

hope this helps you.

The mean time taken by to solve the puzzle is less than that taken by 180.4

We have,

The sample size for Men A is 19

The sample size for Women is B. 34.  

As, mean time taken by B  is less than A women.

Now, Mean of men

= sum of all 19 elements / 19.

= 164.7

and, Mean of Women

= sum of all 34 elements/ 34

= 180.4.

Thus, the mean time taken by Men is less than by Women.

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Answer:

2,500,000

Step-by-step explanation:

here's the answer

have a great day or night

Answer:

..............................

The vertex is at (-2, -9).

From the equation:

y = x² + 4x - 5

Transpose the c-value to the left side of the equation:

y + 5 = x² + 4x

Complete the square of the expression on the right side of the equation to get a perfect square trinomial:

y + 5 = x² + 4x + 4 - 4

by adding and subtracting 4 to the right side of the equation to maintain its balance.

Add the numbers on the left and factor the trinomial on the right:

y + 9 = (x + 2)²

Transpose the number across to the right side to get the equation into the vertex form, y = a(z-h)² + k:

y = (x + 2)² - 9

Make sure the addition and subtraction signs are correct to give the proper vertex form.

Here, the vertex is at (-2, -9).

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Given:-

To find:-

Answer:-

1) Firstly we are told to transpose the c value to LHS .

With respect to standard form of a quadratic equation, \( ax^2+bx + c \) ,the value of c here will be -5 . So on transposing c to LHS , we have;

\(\implies y + 5 = x^2 + 4x\\\)

w) Next we are told to complete the square on the RHS of the equation. For that add and subtract 4 .

\(\implies y + 5 = x^2 + 4x + 4 - 4 \\\)

\(\implies y + 5 =\{ (x)^2 + 2.2.x + 2^2 \}- 4\\\)

The terms inside the curly brackets are in the form of \( a^2+2ab + b^2\) , which is the whole square of \( (a + b )\) . That is \( ( a + b)^2\) . So , we can rewrite it as ,

\(\implies y + 5 = (x +2)^2 - 4 \\\)

\(\implies y + 5 + 4 = (x+2)^2 \\\)

3) Next we have to add the number on the left and factor the trinomial on right as ,

\(\implies y + 9 = (x+2)^2 \\\)

4) Now we are told to transpose the number on the LHS to RHS and get the equation into vertex form which is \( y = a(z-h)^2+ k \) .

\(\implies\underline{\underline{ y = (x+2)^2 - 9}} \\\)

This is our required answer in vertex form. Also on comparing to the standard equation of vertex form, we have;

\(\implies vertex = ( -2,-9) \\\)

and we are done!

The carrying capacity for the yeast population, estimated from the plot, is 680 cells. The initial relative growth rate can be determined using the first two points of the data.

(a) From the plot of the data, we observe that the yeast population levels off or stabilizes around the value of 680 cells. This value represents the carrying capacity of the yeast population in the laboratory culture. (b) To estimate the initial relative growth rate, we use the first two points of the data: (0, 18) and (2, 39). The relative growth rate can be calculated by dividing the change in the number of yeast cells by the change in time. In this case, the change in cells is 39 - 18 = 21, and the change in time is 2 - 0 = 2. Therefore, the initial relative growth rate is 21 / 2 = 10.5 cells per hour.

(c) An exponential model for the data can be determined by fitting an exponential function to the data points. Using the initial point (0, 18) as the initial condition, we can write the exponential model as P(t) = P₀e^(kt), where P(t) represents the number of yeast cells at time t, P₀ is the initial number of cells, k is the growth rate constant, and e is the base of the natural logarithm. Substituting the given data, we can solve for the values of P₀ and k. The exponential model for these data is P(t) = 17.08e^(0.189t).

(d) A logistic model accounts for the carrying capacity of the yeast population. It is given by the formula P(t) = K / (1 + ae^(-kt)), where K represents the carrying capacity, a is a constant related to the initial condition, and k is the growth rate constant. Using the given data, we can solve for the values of K, a, and k. The logistic model for these data is P(t) = 680 / (1 + 4.126e^(-0.189t)).(e) Using the logistic model obtained in part (d), we can estimate the number of yeast cells after 5 hours by substituting t = 5 into the equation. Thus, P(5) = 680 / (1 + 4.126e^(-0.189(5))). Calculating this expression yields approximately 231 yeast cells after 5 hours.

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Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

(7x - 1) + (13x - 19) = 180

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 180 does indeed equal 180.

∴ x = 10 is the solution to the equation.

Answer:

Quadratic function

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

32 divided by 4 is 8

1/4 of 8= 2

The range of the function for this situation is the interval [398.25, 400] gallons.

To determine the range of the function f(x) = 400 - 0.35x for the given situation, we need to find the possible values of the amount of water remaining in the pool.

The function f(x) represents the amount of water remaining (in gallons) after x minutes, where x ranges from 0 to 5.

To find the range of the function, we evaluate f(x) for the extreme values of x in the given range (0 to 5).

For x = 0, the initial amount of water remaining:

f(0) = 400 - 0.35(0) = 400 gallons

For x = 5, the amount of water remaining after 5 minutes:

f(5) = 400 - 0.35(5) = 400 - 1.75 = 398.25 gallons

Therefore, the range of the function for this situation is the interval [398.25, 400] gallons.

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9514 1404 393

Answer:

  (x, y) ⇒ (x -8, y +2)

Step-by-step explanation:

Each image point is 8 units left of the preimage point. The only answer choice that subtracts 8 from each x-coordinate is the one shown in the attachment.

The option that summarizes a t-test that was significant and associated with a large effect size is: d. t(12) = 2.95, p < .05, d = .82

In this option, the t-value is 2.95, indicating a significant result. The p-value is less than .05, indicating that the result is statistically significant at the chosen significance level. Furthermore, the effect size is large, with a Cohen's d value of .82. A large effect size suggests a substantial difference between the groups being compared.

The summary presented in option d is as follows:

t(12) = 2.95, p < .05, d = .82

- t(12) represents the t-value and the degrees of freedom (df) associated with the t-test. In this case, the t-value is 2.95, indicating the magnitude of the difference between the groups being compared. The degrees of freedom is 12, which is determined by the sample size and the design of the study.

- p < .05 indicates the p-value, which is a measure of the probability of obtaining the observed results by chance alone. In this case, the p-value is less than .05, indicating that the difference observed is statistically significant at the .05 significance level.

- d = .82 represents the effect size, specifically Cohen's d. Effect size measures the magnitude of the difference between groups or the strength of the relationship between variables.

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The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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