Level B
In a football game, a team can score 2 points on a safety, 3 points on a field goal, 6 points on a touchdown, and 1 point on a conversion after a touchdown.

1. How many different ways can you score 24 points? Show all the ways.

The data, and use this information to make informed decisions and draw conclusions.

A table is a structured representation of data that organizes information into rows and columns. Tables can be used to summarize numerical and categorical data, and can include measures of central tendency (e.g., mean, median, mode) and measures of variability (e.g., range, standard deviation). To analyze data from a table, you can identify patterns or trends in the data, calculate summary statistics, and compare the values of different variables.

A histogram is a graph that displays the distribution of numerical data by dividing the data into intervals (called "bins") and showing the frequency or relative frequency of data points that fall within each bin. Histograms can be used to identify the shape of a distribution, the center of the data (i.e., the mean or median), and the spread of the data (i.e., the standard deviation or range). To analyze data from a histogram, you can identify the shape of the distribution (e.g., normal, skewed, bimodal), calculate summary statistics (e.g., mean, median, standard deviation), and compare the values of different variables.

In summary, tables and histograms are powerful tools for organizing, summarizing, and visualizing data. By analyzing and interpreting data from tables and histograms, we can gain insights into the patterns and trends of the data, and use this information to make informed decisions and draw conclusions.

Complete question: Use the following information to answer questions. Data below the recording the number of deaths for the top thirteen worst U. S. tornados since 1925. A histogram showing the distribution is also included. 689, 454, 102, 208, 142, 271, 315, 268, 150, 181, 114, 115, 110 Frequency 4 3 2 1 200 1 300 1 500 1 100 400 600 700 Number of Deaths (a) Choose the most appropriate measure of center then calculate the value rounded to the nearest tenth.

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Answer: -1/4

Step-by-step explanation:

(-7+3)/(7+9)

-4/16

-1/4

The probability that the random variable will take on a value between 31 and 35 is 0.2620 or 26.20%.

To solve this problem, we need to standardize the values of 31 and 35 using the formula:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

For x = 31:

z = (31 - 30) / 5 = 0.2

For x = 35:

z = (35 - 30) / 5 = 1

Now, we can use a standard normal distribution table or calculator to find the probabilities corresponding to these z-values. The probability of getting a value between 31 and 35 is the difference between the probability of getting a z-value less than 1 and the probability of getting a z-value less than 0.2:

P(31 ≤ x ≤ 35) = P(z ≤ 1) - P(z ≤ 0.2)
= 0.8413 - 0.5793
= 0.2620

Therefore, the probability that the random variable will take on a value between 31 and 35 is 0.2620 or 26.20%.

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According to the problem the mass of the prism is 207.875 g.

The measure of an object's matter content is its mass. It is typically measured in kilograms, grams, pounds, or ounces. Mass is related to weight, which is the measure of the force of gravity on an object, but the two terms are not interchangeable.

The mass of the prism can be calculated using the formula mass = density x volume. To calculate the volume of the prism, we can first calculate the area of the faces using the formula area = length x width. The area of the faces of the prism is 7.8 cm x 2.5 cm = 19.5 cm2. The volume of the prism is the area of the faces multiplied by the height, which is 2.5 cm. The volume of the prism is then 19.5 cm2 x 2.5 cm = 48.75 cm3. The mass of the prism is then density x volume, which is 4.3 g/cm3 x 48.75 cm3 = 207.875 g. Therefore, the mass of the prism is 207.875 g.

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Answer:

Im pretty sure the answer that is on the picture is right (25.87)

Step-by-step explanation:

The total area of the walls is 140 m²

Since the room is in the shape of a cuboid, and we require the area of the walls of the room, the walls of the cuboid are the walls of the room.

So, the total surface area of a cuboid is A = 2(lb + lh + bh) where

Since we require the total area of the walls, lb which is the area of the floor is removed from the equation.

So, the area of the walls is A' = 2(lh + bh)

= 2h(l + b)

Since the dimensions of the floor are 4 meters by 6 meters and the height of the basement is 7 m. So,

So, substituting the values of the variables into the equation, we have

A' = 2h(l + b)

A' = 2 × 7 m × (4 m + 6 m)

A' = 14 m × 10 m

A' = 140 m²

So, the total area of the walls is 140 m²

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The conditional probability that, when flipping a non-biased coin four times, there are at least two heads, given that the first flip is a head, is 3/4.

Calculating the Conditional Probability:

Let us assume that getting a head in the first flip of coin is event B

Also, let us assume that getting a head in on of the remaining three flips is A

Then we have to find the probability of A given B, that is, P(A|B).

The formula for conditional probability is given as follows,

P(A|B) = P (A∩B) / P(B)

The probability of getting two heads, P(A∩B) = 3/8

The probability of getting head in the first flip, P(B) = 1/2

∴ P(A|B) = (3/8) / (1/2)

P(A|B) = 3/4

Thus,  the conditional probability of getting at least two heads, given that the first flip is a head is 3/4.

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Answer:

False.

6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.

Step-by-step explanation:

The answer is:

Work/explanation:

We can't really compare two things if they have different units.

So we need to convert kilometers to miles first.

1 km is approximately equal to 0.621 miles.

So 6 km would be approximately 3.728 miles.

6 miles is further away than 3.728 miles.

6 km is not as far as 6 miles. And now we know why.

Answer :

To find the equation of the line containing the median that passes through point C, we first need to find the midpoint of segment AB. The coordinates of A and B are given as (-4, -2) and (4, 4) respectively, so we can find the x-coordinate of the midpoint by averaging the x-coordinates of A and B, and the y-coordinate of the midpoint by averaging the y-coordinates of A and B.

The midpoint is:

((-4+4)/2, (-2+4)/2) = (0, 1)

To find the slope of the median we will use the point slope form, which is:

y - y1 = m(x - x1)

We know that point C is (18, -8), and the midpoint is (0, 1)

The slope (m) will be:

m = (y2 - y1) / (x2 - x1) = (-8 - 1) / (18 - 0) = -9/18

We can now use point slope form and substitute the point and the slope:

y - (-8) = (-9/18) (x - 18)

To convert it to slope-intercept form we will solve for y:

y = (-9/18)x + (8/9 + 18/9) = -1/2x + 2

The equation of the line containing the median that passes through point C in slope-intercept form is y = -1/2x + 2

An expression for the measure  β° is 180 - x

The correct answer is an option (d)

We know that the sum of four angles of the quadrilateral is always 360°

In the attached quadrilateral angle A and angle D measures 90 degrees respectively.

The measure of ∠ABC in the figure is x° and the measure of ∠BCD is β°

From above statement for quadrilateral ABCD we have,

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 90° + x°+ β° + 90° = 360°

⇒ x° + β° = 360° - 180°

⇒ x° + β° = 180°

⇒ β = 180 - x

Therefore, the required expression is β = 180 - x

The correct answer is an option (d)

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Find the complete question below.

The equilibrium constant expression for this reaction is:

Ksp = [Ag^+] [Cl^-]

I can provide you with the equilibrium equations for different systems. However, since you haven't specified the specific systems or reactions you are referring to, I'll provide you with some general examples of equilibrium equations.

1. For a generic reaction aA + bB ⇌ cC + dD, the equilibrium constant expression can be written as:

Kc = [C]^c [D]^d / [A]^a [B]^b

2. For the dissociation of a weak acid, such as acetic acid (CH3COOH), the equilibrium equation can be written as:

CH3COOH ⇌ CH3COO^- + H^+

The equilibrium constant expression for this reaction is:

Ka = [CH3COO^-] [H^+] / [CH3COOH]

3. For the dissociation of a weak base, such as ammonia (NH3), the equilibrium equation can be written as:

NH3 + H2O ⇌ NH4^+ + OH^-

The equilibrium constant expression for this reaction is:

Kb = [NH4^+] [OH^-] / [NH3]

4. For the dissolution of a sparingly soluble salt, such as silver chloride (AgCl), the equilibrium equation can be written as:

AgCl(s) ⇌ Ag^+ + Cl^-

The equilibrium constant expression for this reaction is:

Ksp = [Ag^+] [Cl^-]

Please note that these equations are general examples, and the actual equilibrium equations may vary depending on the specific reactions or systems you are referring to in the lab. It is important to consult the lab manual or specific experimental instructions for the accurate equilibrium equations for each system.

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Write the equilibriums equations for each system in the space given. These equations are given in the lab in the intro section. I just want you to have them in front of you in order to better analyze the observations, understand the shift and explain with respect to LeChatelier's Principle. The Cu(II) System Equilibrium Equation: → Cu(H20)42+(aq) + 4NH3(aq) = Cu(NH3)42+ (aq) + 4H2O(1) Stress Observations Step Eq. shift Explanation (wrt LeC principle) 2 Cu(H20)22+ n/a Cu(H2O), 3* + NH, the mixture turned into a light blue solution. didnt have a n/a strong smell and no change in temperature The drops were a darker blue but when mixed the solution returned to its original color of light blue.didnt have a strong smell and no change in temperature When the HCl was added the solution turned brownish greenish. there was also a strong acidic smell.but no change in temperature 8 Cu(H2O). 2+ + NH3 + HCI КСІ Equilibrium Equation: → KCl (s) = K+ (aq) + Cl-(aq) Step Process Observations Eq. shift Explanation 3 Saturated KC1 solution n/a n/a 4 + heat the solution was white and was not dissolved all the way ,there was no particular smell or change in temperature. solution then became foggy white, almost clear. all of the solution was dissolved. there was a weak smell.the temperature was increased the solution turned clear,no smell was present, and the temperature deacreased. 6 - heat (Put on ice) From your observations, is the dissolution of KCl in water exothermic or endothermic? Justify your answer using Le Châtelier’s principle. Aqueous Ammonia Equilibrium equation: → NH3 (aq) + H20 (1) = NH4 +(aq) + OH - (aq) Step Stress Observations Eq. shift Explanation (wrt LeC principle) 3 Initial system n/a n/a solution turned a light purple/pink color . there was no particular smell or change in temperature. as soon as the powder was added the solution turned clear.there was no particular smell or change in temperature. 6 NH C1

Answer:

10

Step-by-step explanation:

Answer:

12.55

Step-by-step explanation:

Add them so its 12.55

Answer:12.55

Step-by-step explanation:

All you have to do is add 0.25 +12.3

to get 12.55

hope this helps!

Answer:

a>=-5

Step-by-step explanation:

when a+5>/=0

a>/=-5 because the if the contents of the absolute value are equal to the same expression in the absolute value if the expression is non negative. So we find the values of a when the expression is nonnegative.

Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

Answer:

It's already in order

\(\frac{3}{4}\) × \(\frac{4}{9}\), \(\frac{7}{7}\) × \(\frac{4}{9}\)  , \(1\frac{2}{3}\) × \(\frac{4}{9}\), \(2\) × \(\frac{4}{9}\)

Step-by-step explanation:

\(\frac{3}{4}\) × \(\frac{4}{9}\)

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

\(\frac{7}{7}\) × \(\frac{4}{9}\)

\(=\frac{4}{9}\)

\(1\frac{2}{3}\) × \(\frac{4}{9}\)

\(=\frac{20}{27}\)

\(2\) × \(\frac{4}{9}\)

\(=\frac{8}{9}\)

Change them all to the same common denominator of 27

\(\frac{9}{27}, \frac{12}{27}, \frac{20}{27}, \frac{24}{27}\)

By solving a simple product we will see that 12% of 45 is equal to 5.4

If we have a number N and we want to take a percentage P of that number, the operation we need to do is:

new number = N*(P/100%)

Here the original number is N = 45 and the percentage is 12%, then we need to solve:

new number = 45*(12%/100%) = 5.4

Then the 12% of 45 is equal to 5.4

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Answer:

y=15

Step-by-step explanation:

Answer:

Y=15

Step-by-step explanation:

4-1=3

18-3=15

15+3=18

So, 15+4-1=18

no entiendo cómo es eso mándame la foto mejor

We start by finding the first and second derivatives of y = eᵃˣ. Therefore, the values of a that satisfy the equation are a = 1 and a = 3, which is answer choice d

y' = aeᵃˣ
y'' = a²eᵃˣ
Now we substitute these into the given equation and simplify:
y'' = 4y' - 3y
a²eᵃˣ = 4aeᵃˣ - 3eᵃˣ
eᵃˣ(a² - 4a + 3) = 0
Since eᵃˣ is never zero, we must have:
a² - 4a + 3 = 0
(a - 1)(a - 3) = 0
Therefore, the values of a that satisfy the equation are a = 1 and a = 3, which is answer choice d.

To find the values of a for which y = eᵃˣ satisfies the equation y" = 4y' – 3y, follow these steps:
1. Find the first derivative y': Differentiate y = eᵃˣ with respect to x.
  y' = a * eᵃˣ
2. Find the second derivative y": Differentiate y' with respect to x.
  y" = a² * eᵃˣ
3. Substitute y, y', and y" into the given equation: y" = 4y' – 3y
  a² * eᵃˣ = 4(a * eᵃˣ) - 3(eᵃˣ)
4. Factor out eᵃˣ from the equation:
  eᵃˣ (a² - 4a + 3) = 0
Since eᵃˣ is never equal to zero, the quadratic expression inside the parentheses must be equal to zero:
5. Solve the quadratic equation: a² - 4a + 3 = 0
  (a - 1)(a - 3) = 0
6. Find the values of a:
  a = 1 and a = 3
Therefore, the correct answer is option d: a = 1 and a = 3.

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To arrive at the objective function, we must make the main assumption that the returns are normally distributed

The objective function is a mathematical expression used to represent the goal of a problem in terms of one or more variables. In finance, the objective function is used to represent the goal of maximizing returns.

The distribution of returns is an important factor to consider when creating an objective function for an investment portfolio. Returns are the gains or losses an investor makes on his investments. The distribution of returns refers to the way in which these returns are distributed in the portfolio.

To arrive at the objective function, we must make the main assumption that the returns are normally distributed. A normal distribution is a bell-shaped curve that represents the distribution of data in a population. In finance, normal distributions are used to model portfolio returns because they ensure a good approximation of how returns are distributed across a wide range of investments.

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Answer:

16g

Step-by-step explanation:

Answer:

your answer will be 16 grams

Step-by-step explanation:

hope it helps...

have a great day!!

Answer:

the length is 13 square units

Step-by-step explanation:

I divided 221 by 17

Triangle formula 1/2 bh( base time height)

\(\large\sf {\purple{\underbrace{ \fbox \pink{ \: \: answer : - \: }}}} \\ \\ \frac{2}{5} + \frac{3}{5} \\ \\ = \frac{2 + 3}{5} \\ \\ = \frac{5}{5} \\ \\ = 1\)

\( \huge2) \\ \\ \frac{8}{9} - \frac{7}{9} \\ \\ = \frac{8 - 7}{9} \\ \\ = \frac{1}{9} \)

3)

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

The solutions to the addition and subtraction of the fractions are;

1) 1

2) ¹/₉

3) ²/₃

1) We want to find the sum of ²/₅ and ³/₅.

²/₅ + ³/₅

Factorize to get;

¹/₅(2 + 3)

¹/₅(5) = 1

2) ⁸/₉ - ⁷/₉

Factorize to get;

⇒ ¹/₉(8 - 7) = ¹/₉

3) ³/₃ - ¹/₃

Factorize to get;

⇒ ¹/₃(3 - 1)

⇒ ²/₃

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i have now attached the picture but it can be wrong!

As per the reference document attached thereby along with the question statement, if (∠SOX = 160°), [∠1 = (x + 14)], and [∠2 = (3x – 10)], then the measure of ∠2 in degrees will be 113°

As per the reference document attached thereby along with the question statement, (∠SOX = 160°), and it's constituent angles

[∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)],

And we are required to determine the measure of ∠2.

Since, [(∠SOW + ∠WOX) = ∠SOX],

Therefore, [{(x + 14) + (3x – 10)} = 160°]

Or, [{(x + 3x) + (14 - 10)} = 160°]

Or, [(4x - 4) = 160°]

Or, [4x = (160 + 4)°]

Or, (4x = 164°)

Or, [x = (164/4)°]

Or, (x = 41°)

Or, [(3x – 10) = {(3 * 41) - 10}°]

Or, [∠2 = (123 - 10)°]

Or, (∠2 = 113°)

That is, if (∠SOX = 160°), and it's constituent angles (∠1) and (∠2) measure as [∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)], then the measure of ∠2 in degrees will be 113°

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Answer:

i tjink its obtuse im not quite sure though im so sorty if its wrong.

Answer:

there are 36 cats in one house the ratio is 1:2

Step-by-step explanation: