Help me out please I’ll mark brainliest

Answer:

150

Step-by-step explanation:

'x' = number of students out of 500 who selected math

18/60 = x/500

cross-multiply:

60x = 9000

x = 150

The two pairs of Adjacent angles in the figure are:

∠1 and ∠3, ∠3 and ∠7.

The correct option is c.

In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:

Adjacent angles to ∠1:

∠1 and ∠5

∠1 and ∠3

Adjacent angles to ∠3:

∠3 and ∠1

∠3 and ∠7

Adjacent angles to ∠5:

∠5 and ∠1

∠5 and ∠7

Adjacent angles to ∠7:

∠7 and ∠3

∠7 and ∠5

Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.

from the given choices,

∠1 and ∠3, ∠3 and ∠7

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You can use the lm() function in R Studio to run a cross-sectional regression with the provided formula.

To run a cross-sectional regression in R Studio with the given formula, you can use the lm() function. First, you need to load your data into R Studio. Assuming you have a dataset named "data" that contains the variables GDPpc, Conspc, Trade, HCI, and Hightech, you can use the following code:

```R

# Load the dataset

data <- read.csv("path/to/your/data.csv")

# Take the natural log of GDPpc and Conspc

data$ln_GDPpc <- log(data$GDPpc)

data$ln_Conspc <- log(data$Conspc)

# Run the regression

model <- lm(ln_GDPpc ~ ln_Conspc + Trade + HCI + Hightech, data = data)

# View the regression results

summary(model)

```

This code first loads the dataset into R Studio. Then it creates two new variables, ln_GDPpc and ln_Conspc, by taking the natural logarithm of GDPpc and Conspc, respectively. Finally, it fits the regression model using the lm() function and displays the summary of the results using summary().

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Answer:

y = -3 and x = -3

Step-by-step explanation:

Answer:

84 :-)

Step-by-step explanation:

The equation of the circle is:

\((x + 4)^2 + (y + 2)^2 = 17^2\)

The general equation for a circle of radius R and center (a, b) is:

\((x - a)^2 + (y - b)^2 = R^2\)

Here the center is (-4, -2), and it contains the point (4, -17), so the radius is:

\(R = \sqrt{(4 - (-4))^2 + (-2 + 17)^2} = 17\)

So the equation of the circle is:

\((x + 4)^2 + (y + 2)^2 = 17^2\)

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Answer:

0.75 cups

Step-by-step explanation:

each batch needs 2 tablespoons your doing 6 batches so 6x2 is 12 and 12 tablespoons is 0.75 cups

Answer:

60

Step-by-step explanation:

.5 x 12 x 10

Please look at the image, I was unsure of the dilation point so I just did it off the center. Green pen is your original, Neon Pink is dilation, Darker Pink is the translation, Blue is the rotation.

Answer:

The sum of the measures of the exterior angles of a convex polygon is 360 degrees.

Step-by-step explanation:

The evaluation of the function f at (0.1) = 5.988, f(-0.03) = 5.4, and lim x→0 f(x) = 6

The function f(x) is given by f(x) = x3 / (x - sinx).

To evaluate the function at 0.1, we simply plug in 0.1 for x:
f(0.1) = (0.1)3 / (0.1 - sin(0.1)) = 0.001 / (0.1 - 0.099833) = 0.001 / 0.000167 = 5.988
To evaluate the function at -0.03, we plug in -0.03 for x:
f(-0.03) = (-0.03)3 / (-0.03 - sin(-0.03)) = -0.000027 / (-0.03 + 0.029995) = -0.000027 / -0.000005 = 5.4

To find the limit of f(x) as x approaches 0, we can use L'Hopital's Rule. Taking the derivative of both the numerator and denominator gives us:
lim x→0 f(x) = lim x→0 (3x2) / (1 - cosx)

Plugging in 0 for x gives us 0/0, which is an indeterminate form. We can use L'Hopital's Rule again to take the derivative of both the numerator and denominator:
lim x→0 f(x) = lim x→0 (6x) / (sinx)

Plugging in 0 for x gives us 0/0 again, so we use L'Hopital's Rule one more time:
lim x→0 f(x) = lim x→0 (6) / (cosx)

Now, plugging in 0 for x gives us 6/1 = 6. So the limit of f(x) as x approaches 0 is 6.

Therefore, f(0.1) = 5.988, f(-0.03) = 5.4, and lim x→0 f(x) = 6.

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The sine of angle V is 97/72. The length of side VW is 65 units.

To find the sine of angle V, we need to use the ratio of the length of the side opposite angle V to the length of the hypotenuse. In this case, side VU is opposite angle V, and hypotenuse UW is the longest side of the right triangle.

Using the Pythagorean Theorem, we can find the length of side VW:

VW² = UW² - VU²

VW² = 72² - 97²

VW² = 5184 - 9409

VW² = 4225

VW = 65

Now we can use the sine ratio:

sin(V) = opposite/hypotenuse = VU/UW

sin(V) = 97/72

Therefore, the ratio that represents the sine of ∠V is 97/72.

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Answer:

The constant of proportionality is the value by which one variable is multiplied to obtain the other variable in a proportional relationship. For example, if we have two variables, x and y, that are proportional, we can write the relationship as y=kx, where k is the constant of proportionality.

Step-by-step explanation:

Answer:

PLEASE MARK AS BRAINLIEST

Z = 130

Y = 50

X = 130

Step-by-step explanation:

hope this helped

Answer:

D. reflection then rotation

Step-by-step explanation:

ABC then A'B'C' then A''B''C''

Following this order, you can see that ABC is reflected across the x-axis to create A'B'C'.

A'B'C' is then rotated anticlockwise to create A''B''C''. How do we know this? The vertexes are pointing in different directions. If it was translated then B' would have been facing downwards instead of facing to the right

Let t be the number of minutes talked. The cost of the first plan can be represented by:C1 = 0.22t

The cost of the second plan can be represented by:C2 = 0.11t + 34.95.To find the number of talk minutes that would produce the same cost for both plans, you need to set the two equations equal to each other and solve for t.0.22t = 0.11t + 34.950.11t = 34.95t = 318.18

Therefore, the two plans will have the same cost if you talk for 318.18 minutes.

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Answer:

B

Step-by-step explanation:

55.85 divided by 7.25 is 7. something sooooo if pants cost 7 dolars more thats 14

The cost of a shirt is $7 and the cost of a pant is $14.

The answer is option B.

Word problems normally include mathematical modeling questions, where records and information approximately a positive machine is given and a student is needed to expand a model. For example, Jane had $5.00, then spent $2.00. How much does she have now?

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Answer:

for every minute she walked 200 steps so 200= 1

Answer:

(x + 1)(5x - 3)

Step-by-step explanation:

Given

5x² + 2x - 3

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term, that is

product = 5 × - 3 = - 15 and sum = + 2

The factors are + 5 and - 3

Use these factors to split the x- term

5x² + 5x - 3x - 3 ( factor the first/second and third/fourth terms )

= 5x(x + 1) - 3(x + 1) ← factor out (x + 1) from each term

= (x + 1)(5x - 3) ← in factored form

The statements that are equivalent to the statement that a set of vectors (v1, ..., vp) is linearly independent are:

A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero.

B. The vector equation x₁v₁ + x₂v₂ + ... + xₚvₚ = 0 has only the trivial solution.

F. All columns of the matrix A are pivot columns.

Let's examine each option to see why they are equivalent:

A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero.

This statement is equivalent to linear independence because it states that the only way for the linear combination of the vectors to equal the zero vector is if all the weights are zero. In other words, there are no nontrivial solutions to the equation c₁v₁ + c₂v₂ + ... + cₚvₚ = 0, where c₁, c₂, ..., cₚ are the weights.

B. The vector equation x₁v₁ + x₂v₂ + ... + xₚvₚ = 0 has only the trivial solution.

This statement is also equivalent to linear independence because it states that the only solution to the equation is the trivial solution where all the variables x₁, x₂, ..., xₚ are zero. In other words, there are no nontrivial solutions to the homogeneous system of equations represented by the vector equation.

F. All columns of the matrix A are pivot columns.

This statement is equivalent to linear independence because it implies that every column of the matrix A is a pivot column, meaning that there are no free variables in the corresponding system of equations. This, in turn, implies that the only solution to the homogeneous system Ax = 0 is the trivial solution, making the set of vectors linearly independent.

The other options (C and E) are not equivalent to the statement that a set of vectors is linearly independent:

C. There are weights, not all zero, that make the linear combination of vi, ..., vp the zero vector.

This statement describes linear dependence rather than linear independence. If there are non-zero weights that result in the linear combination of the vectors equaling the zero vector, it means that the vectors are linearly dependent.

E. The matrix equation Ax = 0 has only the trivial solution.

This statement is related to the linear dependence of the columns of the matrix A rather than the linear independence of the vectors (v1, ..., vp). It refers to the homogeneous system of equations represented by the matrix equation and states that the only solution is the trivial solution, implying that the columns of A are linearly independent. However, it does not directly correspond to the linear independence of the original set of vectors.

In summary, the statements A, B, and F are equivalent to the statement that a set of vectors (v1, ..., vp) is linearly independent.

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Side of the square is 12 cm. Area of the rectangle is equal to the area of the square and length of the rectangle is 16 cm. ∴ The required Perimeter of the rectangle is 50 cm.

Answer:

above sea level

Step-by-step explanation:

Answer:

12/3=4 ..............

Based on the given information, the United States Customs Service historically intercepts about $28 million in contraband goods per day, with a standard deviation of $16 million. A sample of 64 randomly chosen days in 2002 showed an average interception of $30.3 million. The question is whether this sample indicates, at a 5% level of significance, that smuggling has increased above its historic level.

To determine if the sample indicates a significant increase in smuggling, a hypothesis test can be performed. The null hypothesis (H0) would state that the average interception remains at the historic level of $28 million, while the alternative hypothesis (Ha) would state that the average interception has increased above $28 million.

Using the sample data, a t-test can be conducted to compare the sample mean of $30.3 million to the population mean of $28 million. The test would consider the sample size (64), the sample mean, the population mean, and the population standard deviation to calculate the test statistic and the corresponding p-value.

If the p-value is less than the significance level of 5%, it would provide evidence to reject the null hypothesis and conclude that smuggling has increased above its historic level. Conversely, if the p-value is greater than or equal to 5%, it would suggest that there is not enough evidence to support the claim of an increase in smuggling.

The final conclusion regarding whether the Customs Commission should be concerned about the increase in smuggling would depend on the outcome of the hypothesis test and the comparison of the p-value to the significance level.

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The probabilities for the hypergeometric distribution with the given parameters are:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

To determine the probabilities for the hypergeometric distribution with the given parameters, we can use the following formula:

P(X = k) = (choose(K, k) * choose(N-K, n-k)) / choose(N, n)

where "choose(a, b)" represents the binomial coefficient, calculated as a! / (b! * (a - b)!)

Let's calculate the probabilities:

a. P(X = 1):

P(X = 1) = (choose(20, 1) * choose(100-20, 4-1)) / choose(100, 4)

        = (20 * 80) / 3921225

        ≈ 0.000407

b. P(X = 6):

P(X = 6) = (choose(20, 6) * choose(100-20, 4-6)) / choose(100, 4)

        = (38760 * 0) / 3921225

        = 0

c. P(X = 4):

P(X = 4) = (choose(20, 4) * choose(100-20, 4-4)) / choose(100, 4)

        = (4845 * 80) / 3921225

        ≈ 0.098117

d. P(X = 0):

P(X = 0) = (choose(20, 0) * choose(100-20, 4-0)) / choose(100, 4)

        = (1 * 77) / 3921225

        ≈ 1.97e-05

Therefore:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

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The complete question is:

Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d. P(X = 0).

Answer:

a) First graph

 The solution of the given inequalities -1 ≤ x ≤ 7

Step-by-step explanation

Given two inequalities

                             - 4 ≤ 3 x -1 ...(i)

                           2 x +4 ≤ 18 ...(ii)

From(i)

                        - 4 ≤ 3 x -1

Adding '1' on both sides , we get

                   - 4 + 1 ≤ 3 x - 1 +1

                  - 3 ≤ 3 x

Dividing '3' on both sides , we get

                 -1 ≤ x   ...(a)

From (ii)

                    2 x +4 ≤ 18

subtracting  '4' on both sides , we get

                  2 x + 4 - 4 ≤ 18 -4

                                2 x ≤ 14

dividing '2' on both sides, we get

                                 x ≤ 7 ..(b)

Now the solution of two inequalities From(a) and (b)

                             -1 ≤ x ≤ 7

Final answer:-

The graph of the two inequalities is first graph

Answer:

first graph or A

Step-by-step explanation:

took the test on edge! have a good day peeps:)

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions