PLEASE HELPPP IM CONFUSEDDDD

As per the given details, the area of the trapezoid is 112.5 cm².

The lengths of the two parallel sides and the height are required to determine the area of a trapezium. In this instance, the metrics are as follows:

Base 1 = 9 cm

Base 2 = 6 cm

Height = 15 cm

Area = (Base 1 + Base 2) * Height / 2

Area = (9 + 6) x 15 / 2

Area = 15 x 15 / 2

Area = 225 / 2

Area = 112.5 cm²

Thus, the answer is 112.5 cm².

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Answer:

6

Step-by-step explanation:

318 / 53  = 6

the remainder is 0

5. The probability that exactly four adults out of 19 say cashews are their favorite nut is approximately 0.252.

6. The probability that 12 or more stolen bikes will be returned out of 335 is approximately 0.181.

a. Probability of exactly four adults saying cashews are their favorite nut:

n = 19 (number of trials)

k = 4 (number of successes)

p = 0.49 (probability of success)

Using the formula, we have:

P(X = 4) = (¹⁹C₄) * 0.49⁴ * (1 - 0.49)¹⁵

Calculating the binomial coefficient:

((¹⁹C₄) = 19! / (4! * (19 - 4)!) = 3876

Calculating the probability:

P(X = 4) = 3876 * 0.49⁴ * (1 - 0.49)¹⁵ ≈ 0.252

b. Probability that 12 or more stolen bikes will be returned:

n = 335 (number of trials)

k = 12, 13, ..., 335 (number of successes, from 12 to 335)

p = 0.03 (probability of success)

We want to find the sum of probabilities for k = 12 to 335.

P(X ≥ 12) = P(X = 12) + P(X = 13) + ... + P(X = 335)

Calculating each probability:

P(X = k) = (³³⁵C k) * [tex]0.03^{k}[/tex] * (1 - 0.03) [tex]^{335 - k}[/tex]

Calculating the binomial coefficients for each k:

(³³⁵ C ₁₂) = 335! / (12! * (335 - 12)!) ≈ 7.27587e+22

(³³⁵ C ₁₃) = 335! / (13! * (335 - 13)!) ≈ 2.21733e+23

...

(³³⁵ C ₃₃₅) = 335! / (335! * (335 - 335)!) = 1

Calculating the probabilities and summing them up:

P(X ≥ 12) ≈ P(X = 12) + P(X = 13) + ... + P(X = 335) ≈ 0.181

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1. The tax rate is 5%.

2. The discounted rate is 24.9%.

Let x be the tax rate as a decimal.

The discounted price = Original price * The discount rate (1 - discount percentage). The discounted price is:

26.63 = 35.50 * (1 - discount percentage)

Solving discount percentage

Discount percentage = 1 - (26.63 / 35.50)

Discount percentage = 0.249

Discount percentage = 24.9%.

To get tax rate, we will: Total price = discounted price + (discounted price * tax rate).

27.96 = 26.63 + (26.63 * x).

Solving for x

x = (27.96 - 26.63) / 26.63

x = 0.04994

x = 0.05

x =  5%.

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Answer:

5 seconds

Step-by-step explanation:

20-15= 5 seconds

Answer: 6

Step-by-step explanation:

(-4 + 7) x (-4 - 7)

 \/ \/

 possitive 3 possitive 3

 3x3= 6

Answer:

Step-by-step explanation:

Answer:

50.8

Step-by-step explanation:

name me brainliest please.

Answer:

Step-by-step explanation:

1)  DE = 6/sin63 = 6.7

DF = 6/tan63 = 3.1

m∠E = 180 - 90 - 63 = 27°

2)  tan30 = 1/√3 = UV / (27√10)

UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30

3)  cosV = 3/8

cos⁻¹(3/8) = 68

m∠V = 68°

The number of quarters he originally think we're in his pocket is 33.

We are given that;

More quarters she had= 2

Total= $8.75

Now,

Let’s name that number x.

We can translate the table into an equation by equating the total value of the quarters to $8.75:

0.25(x + 2) = 8.75

To solve this equation by simplifying and isolating x:

0.25x + 0.5 = 8.75 0.25x = 8.25 x = 33

The answer by plugging it back into the equation:

0.25(33 + 2) = 8.75 0.25(35) = 8.75 8.75 = 8.75

This makes sense, so we have the correct answer. 7.

Therefore, by algebra the answer will be 33.

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The statement you provided refers to a concept known as Russell's paradox in set theory.

The paradox arises when we consider the set of all sets that do not contain themselves as elements. If we assume such a set exists, we can define a paradoxical set, often denoted as R, which contains all sets that do not contain themselves.

The statement you provided is suggesting that the paradox arises from the concept of the set of all sets, rather than from the concept of comprehension itself.

The , in set theory, refers to the idea of defining a set by specifying a property or condition that its elements must satisfy. The paradox does not arise from the idea of defining sets in this way but rather from the specific concept of the set of all sets.

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Answer:

The length of the third side is 1 unit.

Step-by-step explanation:

Because this is a right triangle, we can use the Pythagorean theorem to solve for the hypotenuse.
Pythagorean theorem: a² + b² = c², where variables a and b are the legs of the triangle and c is the hypotenuse

We are going to let a = (12/13) and b = (5/13), though the order does not particularly matter in this case. We are going to plug and play with the theorem, and then simplify as we go.

[tex](\frac{12}{13})^{2} + (\frac{5}{13})^{2} = c^{2}\\\\\frac{144}{169} + \frac{25}{169} = c^{2}\\\\\frac{144 + 25}{169} = c^{2}\\ \\ \frac{169}{169} = c^{2}\\\\1 = c^{2}\\\\\sqrt{1} = \sqrt{c^{2}} \\\\c = 1[/tex]

Answer:

The word or phrase that describes the probability that Arianna will roll a number between 1 and 6 (including 1 and 6) is "certain." The reason for this is that a standard six-sided die always has a number between 1 and 6 on each face, and if the die is fair and unbiased, then the probability of rolling a number between 1 and 6 is 1, or 100%. Therefore, option (b) "certain" is the correct choice.

The value of x in the line intersection is 60.

When line intersect, angle relationships are formed such as linear angles, vertical angles etc.

Therefore, lets use the angle relationship to find the value of x in the line intersection.

Hence,

2x - 10 + 2x + 40 + 90 = 360(sum of angles in a point)

2x - 10 + 2x + 130 = 360

4x + 120 = 360

4x = 360 - 120

4x = 240

divide both sides by 4

x = 240 / 4

x = 60

Therefore,

x = 60

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The input value which produces the same output values for the two functions in the graph is x=1

To determine which input value produces the same output value for two functions on a graph

we need to find the x-coordinate(s) where the two functions intersect or have the same y-coordinate.

x=1 is the input value which produces the same output values for the two functions in the graph

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5. The probability that the sample mean weight is greater than 3.55 kilograms is about 0.1230.

6. The probability that less than 20% of the sample is from poverty-level households is about 0.2119.

The probability that the sample mean weight is greater than 3.55 kilograms is determined as follows;

The standard error of the mean is determined using the formula:

where;

Substituting the given values:

SE = 0.5/√15

SE ≈ 0.1291

The z-score corresponding to this value will be:

z = (3.55 - 3.4) / 0.1291

z ≈ 1.16

Using a calculator, the probability of a z-score being greater than 1.16 is about 0.1230.

6. The standard error of a proportion is determined using the formula:

where;

Substituting the given values:

SE = √[0.22(1-0.22)/300]

SE ≈ 0.0251

The z-score corresponding to this value will be:

z = (0.20 - 0.22) / 0.0251

z ≈ -0.80

Using a calculator, the probability of a z-score being less than -0.80 is about 0.2119.

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Answer:

Step-by-step explanation:

[tex]\frac{1}{cosx} . \frac{1}{sinx} =\frac{2}{sinx}\\ \frac{1}{cosx} . \frac{1}{sinx} - \frac{2}{sinx} = 0\\\frac{1}{sinx}(\frac{1}{cosx} - 2) = 0\\\frac{1}{cosx} = 2\\cosx = \frac{1}{2} \\x = 60[/tex]

The statements that is missing is " 2x -6 +10x = 15 + 5x and this step is justified by the distributive property.

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

For example, (2x+6) ( 5x +4) is thesame as

2x( 5x+4) 6( 5x +4)

This law is called distributive property.

Similarly, Julian solving should go like this;

2( x -3) + 10x = 5( 3+x)

2x -6 +10x = 15 +5x

collecting like terms

2x -5x +10x = 15 +6

= 7x = 21

x = 3

Therefore the statement that shows the Missing step is 2x -3 +10x = 15+ x and it is justified by distributive property.

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√x+3 is an increasing function, the minimum value is L4 and the maximum value is R4.

Since we are given 4 subintervals, the width of each subinterval is:

Δx = (b - a) / n = (1 - (-1)) / 4 = 1/2

where a = -1 and b = 1 are the endpoints of the interval.

Now, L4 = f(-1)Δx + f(-1/2)Δx + f(0)Δx + f(1/2)Δx

= √2/Δx + √3/Δx + √3/Δx + √4/Δx

= (2√2 + 2√3 + 2√4) / Δx

= 10(2√2 + 2√3 + 2√4)

and, the right endpoint Riemann sum,

R4 = f(-1/2)Δx + f(0)Δx + f(1/2)Δx + f(1)Δx

= √3/Δx + √3/Δx + √4/Δx + √5/Δx

= (2√3 + 2√4 + 2√5) / Δx

= 4(√3 + 2√4 + √5)

Since √x+3 is an increasing function, the minimum value is L4 and the maximum value is R4.

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Candidate A would win the election using the plurality method.

According to the given preference schedule, the number of votes and the corresponding preferences are as follows:

Candidate A: 15 (1st preference: A, 2nd preference: D, 3rd preference: B)

Candidate B: 11 (1st preference: D, 2nd preference: C, 3rd preference: A)

Candidate C: 9 (1st preference: B, 2nd preference: C, 3rd preference: A)

Candidate D: 6 (1st preference: C, 2nd preference: D, 3rd preference: A)

Candidate E: 2 (1st preference: C, 2nd preference: D)

To determine the winner using the plurality method, we look at the candidate with the highest number of first preference votes.

In this case, Candidate A has 15 first preference votes, which is the highest.

Therefore, Candidate A would win the election using the plurality method.

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Sure, here is a diagram of a plane flying on a bearing of 140 degrees for 90km:

[Image of a plane flying on a bearing of 140 degrees for 90km]

The distance traveled south is 60km and the distance traveled east is 53.5km.

To calculate the distance traveled south, we can use the following formula:

distance = (90km * sin(140 degrees)) / 180 degrees

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This gives us a distance of 60km.

To calculate the distance traveled east, we can use the following formula:

distance = (90km * cos(140 degrees)) / 180 degrees

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This gives us a distance of 53.5km.

Answer:

∠CDF = 48°

Step-by-step explanation:

∠CDE = ∠EDF + ∠CDF

Given that,

∠CDE = 114°

∠EDF = 66°

So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.

∠CDF = ∠CDE - ∠EDF

∠CDF = 114 - 66

∠CDF = 48°

Kelvin and Fiona had a total of 200 + 200 = 400 postcards left together. Let's assume that Kelvin had x postcards initially. Fiona would then have (600 - x) postcards since they had a total of 600 numbers postcards altogether.

After Kelvin donated 2/7 of his postcards, he would have (1 - 2/7)x = (5/7)x postcards left.

Fiona gave away 120 postcards, so she would have (600 - x - 120) = (480 - x) postcards left.

According to the problem, both Kelvin and Fiona had the same number of postcards left. Therefore, we can set up an equation:

(5/7)x = 480 - x

Multiplying both sides of the equation by 7 to eliminate the fraction, we get:

5x = 3360 - 7x

Combining like terms, we have:

12x = 3360

Dividing both sides by 12, we find:

x = 280

So, Kelvin initially had 280 postcards, and Fiona had (600 - 280) = 320 postcards.

After Kelvin donated 2/7 of his postcards, he had (5/7) * 280 = 200 postcards left.

After Fiona gave away 120 postcards, she had (320 - 120) = 200 postcards left.

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The estimated number of collisions in 1998 is 4,262.

The n-intercept of 8.06 represents the estimated number of collisions at highway-railroad crossings in the year 1980

We have,

n = -0.211t + 8.06

a. To estimate the number of collisions in 1998, we need to find the value of n when t = 1998 - 1980 = 18. Substitute this value into the equation:

n = -0.211(18) + 8.06

n ≈ -3.798 + 8.06

n ≈ 4.262

Therefore, the estimated number of collisions in 1998 is 4,262.

b. The n-intercept of the linear model represents the value of n when t = 0. Let's substitute t = 0 into the equation and solve for n:

n = -0.211(0) + 8.06

n ≈ 8.06

In this situation, the n-intercept of 8.06 represents the estimated number of collisions at highway-railroad crossings in the year 1980, which is the starting point of the time frame under consideration.

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The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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Answer:

Step-by-step explanation: -3 is on the x-axis so you have to put your point at the left ,and 0 is the Y-axis. When is is zero that means that x stays on its line.

E is the correct answer.

Six over ten >_three over four__> one over two

D three over four.

To determine the fraction that goes in the blank, we need to compare the fractions six over ten and one over two.

To compare fractions, we can either find a common denominator or convert them into decimal form.

Let's go with the decimal approach.

To convert six over ten into a decimal, we divide 6 by 10, which equals 0.6. Similarly, for one over two, dividing 1 by 2 gives us 0.5.

Now, we can see that 0.6 is greater than 0.5.

Since six over ten is greater than one over two, we need to find a fraction that is greater than 0.6 but less than 0.5.

Among the given options, the only fraction that fits this criterion is three over four (option D).

To confirm this, let's convert three over four into a decimal.

Dividing 3 by 4 gives us 0.75, which is greater than 0.6 and less than 0.5.

Therefore, we can conclude that the correct fraction to fill in the blank is three over four (D).

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The statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.

Given, two functions  y = -2f(x) = 1/x

To determine whether the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true or false, we need to find the value of Y for both functions when x = -2.

Substituting x = -2 in the functions we get:I would ask y = -2(-2) = 4f(-2) = 1/(-2) = -1/2Therefore, the Y value of the function I would ask is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2. Hence, the given statement is true.

Therefore, the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.

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Answer:

Step-by-step explanation:

To find the probability of drawing a purple and yellow marble without replacement, we need to determine the number of favorable outcomes (purple and yellow marbles) and the total number of possible outcomes.

Step 1: Determine the number of purple marbles:

The given information states that there are 6 purple marbles.

Step 2: Determine the number of yellow marbles:

The given information states that there are 3 yellow marbles.

Step 3: Determine the total number of marbles:

The given information states that there are 25 marbles in total.

Step 4: Calculate the probability of drawing a purple and yellow marble:

When drawing without replacement, the probability of two events occurring is the product of their individual probabilities.

The probability of drawing a purple marble is: 6 purple marbles / 25 total marbles = 6/25.

After drawing a purple marble, the total number of marbles remaining is 24 (since one purple marble is already drawn).

The probability of drawing a yellow marble from the remaining marbles is: 3 yellow marbles / 24 remaining marbles = 3/24.

To find the probability of both events occurring (drawing a purple and yellow marble), we multiply their individual probabilities:

Probability of drawing a purple and yellow marble = (6/25) * (3/24) = 18/600 = 3/100.

Therefore, the probability of drawing a purple and yellow marble without replacement is 3/100.

1. Triangles ABC and DEF are not similar

2. Triangle JMN and JKL are similar

3. Triangle ABC and XYZ are similar

4. Triangle PQR is not similar to RST

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two angles to similar, the corresponding angles must be equal and the ratio of corresponding sides are equal.

1. 30/24 is not equal to 24/18, therefore the two triangles are not similar.

2. Since MN is parallel to KL then

M = K ( corresponding angles) , therefore the two triangles are similar.

3. 22/33 = 30/45

= 2/3 = 2/3

therefore the two triangles are similar.

4. 10/4.5 is not equal to 9/5

therefore the two triangles are not similar.

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Explanation:

Each cube has side length 1/2. The volume of each smaller cube is (1/2)^3 = 1/8 cubic units.

The box holds 2 layers and 15 cubes per layer. There are 2*15 = 30 cubes total. The total volume of all 30 cubes is 30*(1/8) = 30/8 = 15/4 = 3.75 cubic units, which also represents the volume of the box.