Find the value of x

Answer:

∠GEF = 25

Step-by-step explanation:

Here, we want to find the value of the marked angle

Please check the attachment for the diagrammatic representation of the triangle

Mathematically, the sum of opposite interior angles equals the exterior angle

We can have this sum as follows;

∠EFG + ∠GEF = ∠FGH

Thus;

2x + 1 + x + 19 = 6x + 2

3x + 20 = 6x + 2

6x-3x = 20-2

3x = 18

x = 18/3

x = 6

Now , substitute x into the ∠GEF

That will be;

6 + 19 = 25

Answer:

x=6

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

5x−3−4x=4x+3−4x

x−3=3

Step 2: Add 3 to both sides.

x−3+3=3+3

x=6

Answer:

B.

Step-by-step explanation:

5x-3+3=4x+3+3

5x=4x+6

5x-4x=4x+6-4x

x=6

1a)The values of l range from 0 to (n-1), so for n = 3, l can have the values 0, 1, and 2.

b) The values of m can be -2, -1, 0, +1, and +2

c) There are a total of 9 orbitals

The qualities and traits of quantum systems, like the electrons in atoms, are described by a set of numbers known as quantum numbers. They offer knowledge on the system's energy, angular momentum, orientation, and spin, among other characteristics.

Using the formula, number of electrons = \(n^2\)

Number of electrons =\(3^2 = 9\)

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d) The distribution used in this calculation is the negative binomial distribution.

(a) To calculate the probability that at least one out of 10 people selected for the sample is obese, we can use the complement rule.

The complement of "at least one person is obese" is "none of the 10 people are obese." The probability of none of the 10 people being obese can be calculated using the binomial distribution.

Let's denote the probability of an individual being obese as p = 0.27 (given in the study).

The probability of an individual not being obese is q = 1 - p = 1 - 0.27 = 0.73.

Using the binomial distribution formula, the probability of none of the 10 people being obese is:

P(X = 0) = (10 C 0) * p^0 * q^(10 - 0)

P(X = 0) = (10 C 0) * (0.27)^0 * (0.73)^(10)

P(X = 0) = (0.73)^10

P(X = 0) ≈ 0.0908

Therefore, the probability that at least one out of 10 people selected for the sample is obese is:

P(at least one person is obese) = 1 - P(none of the 10 people are obese)

P(at least one person is obese) = 1 - 0.0908

P(at least one person is obese) ≈ 0.9092

The distribution used in this calculation is the binomial distribution.

(b) To calculate the probability that the third adult selected in the sample is the first obese adult selected, we can use the geometric distribution.

The probability of the first obese adult being selected on the third try is the probability of two non-obese adults being selected consecutively (p^2) multiplied by the probability of selecting an obese adult on the third try (p).

P(third adult selected is the first obese) = p^2 * p

P(third adult selected is the first obese) = (0.27)^2 * 0.27

P(third adult selected is the first obese) = 0.27^3

P(third adult selected is the first obese) ≈ 0.0197

Therefore, the probability that the third adult selected in the sample is the first obese adult selected is approximately 0.0197.

The distribution used in this calculation is the geometric distribution.

(c) To calculate the probability that more than four adults are selected before any adult who is obese is included in the sample, we can use the negative binomial distribution.

The probability of selecting an obese adult is p = 0.27.

The probability of not selecting an obese adult is q = 1 - p = 1 - 0.27 = 0.73.

We want to find the probability that more than four adults are selected before the first obese adult is included. This means that we need to calculate the cumulative probability of X being greater than 4, where X is the number of non-obese adults selected before the first obese adult.

P(X > 4) = 1 - P(X ≤ 4)

P(X > 4) = 1 - ∑(k=0 to 4) [(10 C k) * p^k * q^(10 - k)]

P(X > 4) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)]

P(X > 4) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)]

P(X > 4) = 1 - [(0.73)^10 + 10(0.27)(0.73)^9 + 45(0.27)^2(0.73)^8 + 120(0.27)^3(0.73)^7 + 210(0.27)^4(0.73)^6]

P(X > 4) ≈ 0.8902

Therefore, the probability that more than four adults are selected before any adult who is obese is included in the sample is approximately 0.8902.

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Answer:

2/9

Step-by-step explanation:

P=4/18=2/9

Answer:

the exact same as the pre image

The particles contain 5.199 mol. The result is obtained by dividing the number of particles by the Avogadro number.

Avogadro number is the number of particles contained in 1 mol of any substance. It is 6.022 × 10²³ particles/mol.

The number of particles of a substance can be expressed as

N = n × NA

Where

The number of particles of a substance is 3.131 × 10²⁴ particles. Find the number of moles!

With the Avogadro number, the number of moles would be

N = n × NA

3.131 × 10²⁴ = n × 6.022 × 10²³

n = (3.131 × 10²⁴) / (6.022 × 10²³)

n = 0.5199 × 10¹

n = 5.199 mol

Hence, there are 5.199 mol contained in the particles.

The answer is A.

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True. Marginal cost refers to the additional cost incurred by producing one more unit of output.

Since the production of one more unit requires the use of additional variable factors of production (such as labor or raw materials), marginal cost always reflects the cost of those variable factors. Fixed costs, on the other hand, do not change with changes in output and are not included in marginal cost calculations. Therefore, marginal cost only reflects the change in cost associated with variable factors of production.

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Answer:

A

Step-by-step explanation:

use the quadratic formula and you should end up with this

d=1/32 (33+\(\sqrt{1217}\))=2.121

The domain is [0,2.121...].

x = -b / 2a = -3.3/(-3.2) = 1.031

max=1.902

so its A

pls mark me brainliest

Answer:

Step-by-step explanation:

d. the plant management believes that an increase in ambient temperature of 1 degree fahrenheit is associated with an increase in average monthly steam consumption of 10 thousand pounds. do the data support this statement? explain. (hint: perform a hypothesis test.)

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Answer:

a = 6

Step-by-step explanation:

using the sine ratio in the right triangle

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{a}{12}\) ( multiply both sides by 12 )

12 × sin30° = a

12 × 0.5 = a , then

a = 6

A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.

The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.

In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.

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Based on the given graph, the domain of the function can be expressed as [-5, 2], indicating that the function is defined for x-values within this interval.

Therefore, based on the given graph, the domain of the function can be expressed as [-5, 2], indicating that the function is defined for x-values within this interval.

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Answer:

55

Step-by-step explanation:

45 * 4.50 = 202.5

550 - 202.5 = 347.5

347.5/6.25 = 55.6 (55 full t shirts)

C. 0

Explanation

Step 1

Let's graph the situation

a)you notice that the slope is the same, it means the lines are parallel

b)the y-intercepts are different:the y-intercept is the point where the line crosses the y-axis

hence, we need to graph two parallel lines that cross the y-axis at a different point

Step 2

conclude:

We find that since there is no common point, so there is no ordered pair that makes both equations true. Hence, there is no solution to the given system of equations.

therefore, the answer is 0 solutions

C. 0

I hope this helps you

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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The correlation coefficient is 0.9541. This can be determined from the information provided in the ANOVA table, specifically the regression sum of squares (SSR) and the total sum of squares (SST).

The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where values closer to -1 or 1 indicate a stronger relationship, and values closer to 0 indicate a weaker relationship.

To calculate the correlation coefficient, we can use the formula:

r = sqrt(SSR/SST)

From the ANOVA table provided, we can see that SSR = 12,323.64 and SST = 13,538.4. Plugging these values into the formula gives:

r = sqrt(12,323.64/13,538.4) = 0.9541

Therefore, the correlation coefficient for this model is 0.9541, indicating a strong positive linear relationship between the independent variable and the dependent variable

Complete Question:

Using the following information. Coefficients -12.8094 Intercept Independent variable 2.1794 ANOVA df SS MS F 1 90.0481 Regression Residual Total 12,323.64 1,214.762 13,538.4 12,323.64 136.8550 8 1° 9 What is the correlation coefficient? Multiple Choice 0.9103 0.9541 -0.9541

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According to the question SELECT color FROM wax_crayons WHERE red < 110.

To write and run a query on the "wax.crayons" table to find all the crayon colors with a value for the column "red" that is less than 110, you can use the following SQL query:

```sql

SELECT color

FROM wax.crayons

WHERE red < 110;

```

- "SELECT color" specifies that we want to retrieve the "color" column from the table.

- "FROM wax_crayons" indicates that we are querying the "wax_crayons" table.

- "WHERE red < 110" sets the condition that the value of the "red" column should be less than 110 to filter the results.

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Remarks : The correct question of Technology : write and run a query on the wax.crayons table to find all the crayon colors with a value for the column red that is less than 110

Answer:it’s a I was stuck to

Step-by-step explanation:

A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

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Therefore, the decimal representations of irrational numbers satisfy conditions 1 and 2; that is, irrational numbers are decimals that do not terminate and do not repeat. Knowing these properties, it is now possible for us to construct irrational numbers in decimal form at will.

for spanish people

Por lo tanto, las representaciones decimales de números irracionales cumplen las condiciones 1 y 2; es decir, los números irracionales son decimales que no terminan y no se repiten. Conociendo estas propiedades, ahora es posible para nosotros construir números irracionales en forma decimal a voluntad.

Answer: 60

Step-by-step explanation:

you just take the value of the number your looking at and turn it into its original whole number. e.g. the value of 2 in that equation would be 200

To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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A horizontal line is a line extending from left to right. When you look at the sunrise over the horizon you are seeing the sunrise over a horizontal line. The x-axis is an example of a horizontal line.

Now, According to the question:

What is a Horizontal Line?

Horizontal lines are also known as sleeping lines. In coordinate geometry, horizontal lines are those lines that are parallel to the x-axis. In geometry, we can find horizontal line segments in many shapes, such as quadrilaterals, 3d shapes, etc. In real life, we can find horizontal lines on the steps of the staircase, planks on the railway tracks, etc.

The x-axis is an example of a horizontal line.

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The series is convergent.

To determine whether the series is convergent or divergent, we can analyze the behavior of the terms and apply a convergence test. In this case, we will use the comparison test.

Let's examine the general term of the series:

aₙ = 8/(n² - 1)

To apply the comparison test, we need to find a known series that is either greater than or equal to the given series. Considering that n starts from 3, we can rewrite the general term as:

aₙ = 8/n²(1 - 1/n²)

Now, notice that for n ≥ 3, we have:

1 - 1/n² ≤ 1

Therefore, we can rewrite the general term as:

aₙ ≤ 8/n²

Now, we can compare the given series with the series ∑(8/n²). The series ∑(8/n²) is a p-series with p = 2, and it is known that p-series converge if p > 1.

Since p = 2 > 1, the series ∑(8/n²) converges.

By the comparison test, if the terms of a series are less than or equal to the corresponding terms of a convergent series, then the original series must also converge.

Hence, the given series ∑(8/(n² - 1)) is convergent.

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Answer:

immune system

Step-by-step explanation:

Answer:

1) d

2) a

3) c

4) b

Step-by-step explanation:

a = a, b = b, c = c, d = d, e = e, f = no corresponding value, g = no corresponding value, and h = no corresponding value.

let a = {a,b,c,d,e} and b = {a,b,c,d,e,f,g,h}. To match the given sets in the left to their corresponding values in the right, we need to compare the elements in each set and determine which ones are the same.

The set a = {a,b,c,d,e} has the elements a, b, c, d, and e. The set b = {a,b,c,d,e,f,g,h} has the elements a, b, c, d, e, f, g, and h.

Comparing the two sets, we can see that the elements a, b, c, d, and e are the same in both sets. Therefore, the corresponding values for these elements are a = a, b = b, c = c, d = d, and e = e.

The elements f, g, and h are only present in the set b, so there are no corresponding values for these elements in the set a.

So the final matching of the given sets in the left to their corresponding values in the right is: a = a, b = b, c = c, d = d, e = e, f = no corresponding value, g = no corresponding value, and h = no corresponding value.

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