A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2, 12, 14, 4, and 1 respectively. Using percentages, what are the relative frequencies of the five classes? Complete the table Grade Frequency Relative frequency А. 2 % B 12 % с 14 % D 4 % F 1 % (Round to two decimal places as needed.) A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2, 12, 14, 4, and 1 o respectively. Using percentages, what are the relative frequencies of the five classes? Complete the table Grade Frequency Relative frequency A 2 B 12 % с 14 D 4 % 1 (Round to two decimal places as needed.)

Answer:

Option B: 49 square units.

Step-by-step explanation:

The irregular polygon consists of a rhombus a square.

Area of rhombus = 0.5*(product of diagonals).

Area of square = length * length = l^2.

The diagonals of the rhombus measure 8 units and 6 units respectively. The diagram shows the length of half of the diagonals, so doubling both the lengths gives us the required lengths. The side of the square measures 5 units. Substituting all the information in the formula:

Total Area = Area of rhombus + Area of square.

Total Area = 0.5*8*6 + 5^2.

Total Area = 24 + 25

Total Area = 49 square units.

Option B is correct! Hope this helps! :)

Answer:

Option B: 49 square units.

Step-by-step explanation:

Answer:

Third option {0, -1.4, -2.8, -4.2, -5.6} is the correct answer.

Answer:

angle z= 96°

angle x = 33

I hope it's helps you

Answer:

z = 96

x = 33

Step-by-step explanation:

Given that g and h are parallel, we can assume that 84 and z will be equal to 180.

\(84 + z=180\\z= 96\)

Then we make the , simple algebra work!

\(96 = 6x - 102\\198 = 6x\\x = 33\)

It's been like 2 years since I've touched geometry, but if I could remember I can explain this with proofs, sadly I can't.

hope it's right that is what I thought good luck

Answer:

y=2/-1 -3

Step-by-step explanation:

To find the parametric equations for the line through (2, 4, 6) that is parallel to the plane x − y + 3z = 7, we can use the point-direction form of the equation of a line.

We know that the point on the line is (2, 4, 6) and the direction vector of the line will be parallel to the normal vector of the plane. The normal vector of the plane x − y + 3z = 7 is (1, -1, 3).

Therefore, the parametric equations of the line through (2, 4, 6) that is parallel to the plane x − y + 3z = 7 will be:

x = 2 + t, y = 4 - t, z = 6 + 3t

To find the parametric equations for the line through (2, 4, 6) that is parallel to the plane x − y + 3z = 7, we need to first find the direction vector of the line.

Since the line is parallel to the plane, the direction vector of the line is perpendicular to the normal vector of the plane. The normal vector of the plane is given by the coefficients of x, y, and z, which are (1, -1, 3).

To find a vector that is perpendicular to the normal vector, we can take the cross product of the normal vector with any other vector. For simplicity, let's take the cross product of the normal vector with the vector (1, 0, 0):
(1, -1, 3) × (1, 0, 0) = (0, 3, 1)
So the direction vector of the line is (0, 3, 1).
Now we can write the parametric equations of the line using the point (2, 4, 6) and the direction vector (0, 3, 1):
x = 2 + 0t = 2
y = 4 + 3t
z = 6 + 1t
So the parametric equations of the line are:
x = 2
y = 4 + 3t
z = 6 + 1t

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Answer:

Step-by-step explanation:

We can use the quadratic formula to get the answer to this

Quadratic Formula: -b +- √b² - 4ac/2a

Once we input A, B, and C into this, and solve any multiplication, we get

x = -1  +- √1 + 20/2

We divide by 2a, which 2a = 2.

-0.5 +- 10.5.

these are the following values of x:

x = 10

x = 11

Pretty sure this is it, hope it helps!

For equation (1), y' = xy + y, we can see that it is a linear differential equation since it is a first-order equation and the terms involving y and its derivatives have a power of 1.

For equation (2), y' = y^2(22+y^2), we can see that it is a Bernoulli differential equation since it is a first-order equation and the terms involving y and its derivatives have a power of 2.

To find the general solution of equation (2), we can use the following steps:

Divide both sides by y^2 to obtain y^(-2)y' = 22+y^2.

Substitute u = y^(-1) to obtain u' = -22u - 1.

Solve for u using separation of variables to obtain u = Ce^(-22x) - (x+D), where C and D are constants.

Substitute back y^(-1) for u to obtain the general solution y = (Cx+D)/(1-22xy), where C and D are constants.

Therefore, the general solution of equation (2) is y = (Cx+D)/(1-22xy), which is a rational function.

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The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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The average rate of change of the function p(θ) over the interval [1,2] is 0.

The average rate of change of a function over an interval is given by the slope of the secant line that connects the two points on the function at the endpoints of the interval.

For the function p(θ)=θ^3−5θ^2 + 6θ and the interval [1,2], the average rate of change can be calculated as:

(p(2) - p(1)) / (2 - 1) = ((2^3 - 5 × 2^2 + 6 × 2) - (1^3 - 5 × 1^2 + 6 × 1)) / (2 - 1) = ((8 - 20 + 12) - (1 - 5 + 6)) / (2 - 1) = (0) / (1) = 0.

So, the average rate of change of the function p(θ) over the interval [1,2] is 0.

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Answer:

Jill earns $57,000

Step-by-step explanation:

Mark as Brainliest

Answer: 231

Step-by-step explanation: Jamie baked twice as many cookies as Carrie, 2 x 77 = 154.

The question asks for the number of cookies altogether, so 154 + 77 = 231

Answer: 77 + 2(77) = x

Step-by-step explanation:

154 + 77 = x

x = 224

They baked 224 cookies together.

We have to reduce the expression:

With power-reducing formulas we use identities that let us replace higher exponents terms with lower exponents terms.

We can start using the following identity:

Replacing in our formula we obtain:

We can replace the last term using this identity:

Then, we will obtain:

Replacing in the equation we obtain:

Answer:

3/2 - 2*cos(4x) + 1/2*cos(8x)

Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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The given coins [1, 2, 5] and the value 11, the minimum number of coins needed is 2.

Here are the steps to find the minimum number of coins:

1. First, we create an array of size equal to the given value, initialized with a very large number. This array will store the minimum number of coins needed to make each value from 0 to the given value.

2. We set the first element of the array to 0, as it doesn't require any coins to make a value of 0.

3. Next, we iterate through all the coins available and for each coin, we iterate through all the values from the coin value to the given value.

4. For each value, we calculate the minimum number of coins needed by taking the minimum of the current minimum and the value obtained by subtracting the coin value from the current value and adding 1 to it.

5. Finally, we return the value stored in the last element of the array, which represents the minimum number of coins needed to make the given value.

Let's consider an example to better understand the process:

Given coins: [1, 2, 5]
Given value: 11

1. Initialize the array with [INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF] (INF represents infinity).

2. Set the first element of the array to 0, so it becomes [0, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF].

3. For the first coin (1), iterate through the array from index 1 to 11.

  - For index 1, the minimum number of coins needed is 0 + 1 = 1.
  - For index 2, the minimum number of coins needed is 0 + 1 = 1.
  - For index 3, the minimum number of coins needed is 0 + 1 = 1.
  - ...
  - For index 11, the minimum number of coins needed is 0 + 1 = 1.

  The array becomes [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1].

4. For the second coin (2), iterate through the array from index 2 to 11.

  - For index 2, the minimum number of coins needed is 1 (minimum of 1 and 0 + 1 = 1).
  - For index 3, the minimum number of coins needed is 1 (minimum of 1 and 0 + 1 = 1).
  - For index 4, the minimum number of coins needed is 1 (minimum of 1 and 1 + 1 = 2).
  - ...
  - For index 11, the minimum number of coins needed is 1 (minimum of 1 and 1 + 1 = 2).

  The array becomes [0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2].

5. For the third coin (5), iterate through the array from index 5 to 11.

  - For index 5, the minimum number of coins needed is 2 (minimum of 2 and 0 + 1 = 1).
  - For index 6, the minimum number of coins needed is 2 (minimum of 2 and 1 + 1 = 2).
  - ...
  - For index 11, the minimum number of coins needed is 2 (minimum of 2 and 2 + 1 = 3).

  The array becomes [0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2].

6. The minimum number of coins needed to make the given value (11) is 2.

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The probability of selecting a 5 and the coin landing on head is 1/26

In this question, a card is drawn at random from a standard pack of playing cards and fair coin is flipped.

Here, we have two different sample spaces to work with and we want to calculate a compound probability.

Firstly in a deck of cards which contain a total of 52 cards, there are 4 cards labeled 5.

So, the probability of selecting a 5 is:

4/52 = 1/13

Also, in a flip of coin the probability of the coin landing on head is 1/2

Thus the probability of selecting a 5 and the coin landing on head would be,

probability of selecting 5 × probability of the coins landing on head

= 1/13 × 1/2

= 1/26

Therefore, the probability of selecting a 5 and the coin landing on head is 1/26

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Answer:

-3

Step-by-step explanation:

The correct value will be :  (-12sqrt(325) + 30sqrt(130))/65

We can use the sum formula for sine:

sin(theta + phi) = sin(theta)cos(phi) + cos(theta)sin(phi)

Given that theta is in Quadrant I, we know that sin(theta) is positive. Using the Pythagorean identity, we can find that cos(theta) is:

cos(theta) = \(sqrt(1 - sin^2(theta)) = sqrt(1 - (12/13)^2)\) = 5/13

Similarly, since phi is in Quadrant II, we know that sin(phi) is positive and cos(phi) is negative. Using the Pythagorean identity, we can find that:

sin(phi) = \(sqrt(1 - cos^2(phi))\)

           = \(sqrt(1 - (-sqrt(5)/5)^2)\)

           = sqrt(24)/5

cos(phi) = -sqrt(5)/5

Now we can substitute these values into the sum formula for sine:

sin(theta + phi) = sin(theta)cos(phi) + cos(theta)sin(phi)

                        = (12/13)(-sqrt(5)/5) + (5/13)(sqrt(24)/5)

                        = (-12sqrt(5) + 5sqrt(24))/65

We can simplify the answer further by rationalizing the denominator:

sin(theta + phi) = \([(-12sqrt(5) + 5sqrt(24))/65] * [sqrt(65)/sqrt(65)]\)

= (-12sqrt(325) + 30sqrt(130))/65

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(4, 8, 1), (0, 11, 2), and (4, 10, 8) are the translated vertices right along the y-axis.

it is given that,

A(4, 5, 1)

B(0, 8, 2)

C(4, 7, 8)

Which are in x, y, and z, format.

here we need to translate three units to the right along the y-axis.

Right means addition and we have to choose only y- coordinates.

A(4, 5, 1) → A'(4, 5+3, 1)

B(0, 8, 2) → B'(0, 8+3 , 2)

C(4, 7, 8) → C'(4, 7+3, 8)

This gives us,

(4, 5, 1) → (4, 8, 1) → (x, y, z)

(0, 8, 2) → (0, 11, 2) → (x, y, z)

(4, 7, 8) → (4, 10, 8) → (x, y, z)

thus, these are our required vertices.

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Celsius and Fahrenheit are two different units of measurement used to express temperature. To convert between the two units, it's important to know the conversion formula. The conversion formula is (°C × 9/5) + 32 = °F

The Celsius (°C) scale is used in the metric system, while the Fahrenheit (°F) scale is used primarily in the United States and its territories. To recalculate 38.1 Celsius to Fahrenheit, you can use this formula. First, multiply 38.1 by 9/5, then add 32 to the result. The calculation is (38.1 x 9/5) + 32 = 100.58 + 32 = 132.58°F. So 38.1 degrees Celsius is equivalent to 132.58°F.

It's also important to note that when measuring temperature, it's important to use the correct units. For example, Celsius is more appropriate for measuring the temperature of a patient's body, while Fahrenheit would be more appropriate for measuring the temperature of the air inside a room or a car.

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When testing the difference between the means of two normally distributed populations using independent random samples with equal variances, the correct test statistic to use is the two-sample t-test.

The two-sample t-test compares the means of two independent samples to determine if there is a significant difference between them. It takes into account the sample means, sample sizes, and sample variances to calculate a t-value. The assumption of equal variances is important in this context.

The formula for the two-sample t-test depends on the specific context, such as whether the samples have equal or unequal variances. The appropriate formula can be selected accordingly. However, when the variances of the populations are assumed to be equal and the sample sizes are relatively large (as per the general guidelines), the pooled two-sample t-test is commonly used.

In summary, the correct test statistic to use for testing the difference between the means of two normally distributed populations using independent random samples with equal variances is the two-sample t-test.

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Answer:

Step-by-step explanation:

Answer: 150*40/100=60

60+150=210.

Step-by-step explanation:

Answer:

-6x+2=4

3(-3x+1)=6

-2(3x-1)=4

-3x=1

x=-1/3

Step-by-step explanation:

Each twelve-inch square tile weighs approximately 27 ounces.

To calculate the weight of each tile in ounces, we need to convert the weight of the box from pounds to ounces and divide it by the number of tiles in the box. Since there are 16 ounces in a pound, the weight of each box is 36 pounds * 16 ounces/pound = 576 ounces.

If there are 20 tiles in each box, we divide the weight of the box (576 ounces) by the number of tiles (20) to get the weight of each tile: 576 ounces / 20 tiles = 28.8 ounces. Rounding to the nearest ounce, each twelve-inch square tile weighs approximately 27 ounces.


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Answer: Cumulative frequency distribution

Step-by-step explanation: Not entirely sure but I believe you are looking for this definition based on the question. Hope this helps :)

The question states that Bob spends 2 hours a day on the phone [which basically answers the how much time does he spend]. Next, find the total amount of hours in his day, which is 8 [stated in the question].

Write a fraction from the given information;

2/8, then simplify, by diving both the numerator and denominator by 2.

Therefore,

C) 1/4

Performance measures dealing with the number of units in line and the time spent waiting are called D. operating characteristics.

Operating characteristics are performance measures that provide information about the operational behavior of a system. In the context of queuing theory, operating characteristics specifically refer to measures related to the number of units in line (queue length) and the time spent waiting (queueing time) within a system. These measures help assess the efficiency and effectiveness of the system in managing customer or job arrivals and processing.

The number of units in line is an important indicator of how congested a system is and reflects the amount of work waiting to be processed. By monitoring the queue length, managers can determine if additional resources or adjustments to the system are required to minimize customer wait times and enhance throughput.

Similarly, the time spent waiting, often referred to as queueing time, measures the average or maximum amount of time a customer or job must wait before being serviced. This measure is crucial in assessing customer satisfaction, as excessive wait times can lead to dissatisfaction and potential loss of business.

Operating characteristics provide quantitative insights into these key performance indicators, allowing organizations to make informed decisions regarding resource allocation, process improvements, and service level agreements.

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Answer:

28.26 cm for circumference

Step-by-step explanation:

we know radius

Circumference formula is

Pi*diameter

we double radius for diameter

which is 6

now for that 6 we multiply that by 3.14

and your final answer is 28.26