Becca is construction triangle d e f using the following angles 50°, 65°, 65°,


what mistake did she make?​

Answer:

1. corresponding

2. alternate interior

3. supplementary

4. interior

Step-by-step explanation:

1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.

2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.

3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.

4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.

Hope this helps you out!! Have an awesome day ;)

Answer:

Step-by-step explanation:

(-5,7)

Answer:

See below

Step-by-step explanation:

When x=-1, y=5(-1)+3=-5+3=-2

When x=0, y=5(0)+3=0+3=3

When x=1, y=5(1)+3=5+3=8

When x=2, y=5(2)+3=10+3=13

When x=3, y=5(3)+3=13+3=16

Therefore, this is the correct table:

x -1 0 1 2 3

y -2 3 8 3 16

Answer:

10≥x<20

Step-by-step explanation:

Answer: add all the sides up 20+2+2+11+3.14

Step-by-step explanation:

========================================================

Work Shown:

The bottom most horizontal portion is 2 cm long since opposite sides of a rectangle are the same length. The right-most vertical piece, toward the bottom, is 20-11 = 9 cm long.

The curved piece represents 1/4 of the distance around a full circle of radius 11. So we'll need to find the circumference of the full circle of radius 11.

C = 2*pi*r

C = 2*3.14*11

C = 69.08

Then divide by 4 to get 69.08/4 = 17.27

The curved piece is roughly 17.27 cm long.

-----------

We have these 6 pieces that make up the full perimeter

Adding those 6 pieces leads to: 2+20+2+9+11+17.27 = 61.27

The perimeter is 61.27 cm. This value is approximate since pi = 3.14 is approximate.

Answer:

D, 6 x 3 x 3

Step-by-step explanation:

One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.

Answer:

23.25 or 93/4, 11.63 or 93/8, 9.5, 9.25

Rounded: 23, 12, 10, 9

Step-by-step explanation:

First, divide the fractions (93/4 & 93/8) to convert them to decimals, then just round or go from the digits 23 > 11 >9.5> 9

Hope this helps

~R3V0

Answer:

x₁(2x₁x₂² - x₂ - 3) - 3x₂

Step-by-step explanation:

The expression you provided is a polynomial in two variables, x₁ and x₂. Let's simplify it step by step:

2x₁²x₂² - x₁x₂ - 3x₁ - 3x₂

To simplify, we can look for common terms that can be factored out:

x₁(2x₁x₂² - x₂ - 3) - 3x₂

Now let's simplify the expression inside the parentheses:

2x₁x₂² - x₂ - 3

a) The probability that a single detection system will detect an attack is 0.84.

b) If two detection systems are installed in the same area and operate independently, the probability that at least one of the systems will detect the attack is 0.9736.

c) If three systems are installed, the probability that at least one of the systems will detect the attack is 0.9972.

d) Yes, I would recommend that multiple detection systems be used.

Explanation: Let p = 0.84 be the probability of detecting a missile attack. Since there are two outcomes, either the detection system detects the attack or it does not, the binomial distribution can be used.

The binomial probability mass function is:P (X = x) = nCx * p^x * (1-p)^(n-x), where X is the number of successful trials, n is the number of trials, p is the probability of success in a trial, (1-p) is the probability of failure in a trial, nCx is the number of combinations of n things taken x at a time.

In this case, since we are interested in detecting an attack, x = 1. Therefore, the probability that a single detection system will detect an attack is: P (X = 1) = 1C1 * 0.84^1 * (1-0.84)^(1-1) = 0.84.

As given, two detection systems are installed in the same area and operate independently. The probability that at least one of the systems will detect the attack is the probability of detecting the attack with one system plus the probability of detecting the attack with the other system plus the probability of detecting the attack with both systems.

P(at least one of the systems will detect the attack) = P(X = 1 with the first system) + P(X = 1 with the second system) + P(X = 2 with both systems)

P(X = 1 with the first system) = P(X = 1) = 0.84

P(X = 1 with the second system) = P(X = 1) = 0.84

P(X = 2 with both systems) = 0.84 * 0.84 = 0.7056

P(at least one of the systems will detect the attack) = 0.84 + 0.84 - 0.7056 = 0.9736.

Therefore, the probability that at least one of the systems will detect the attack is 0.9736 when two detection systems are installed in the same area and operate independently.

Let us compute the probability that at least one of the systems will detect the attack when three systems are installed.

P(at least one of the systems will detect the attack) = P(X = 1 with the first system) + P(X = 1 with the second system) + P(X = 1 with the third system) - P(X = 2 with the first two systems) - P(X = 2 with the first and third systems) - P(X = 2 with the second and third systems) + P(X = 3 with all three systems)

P(X = 1 with the first system) = P(X = 1) = 0.84P(X = 1 with the second system) = P(X = 1) = 0.84P(X = 1 with the third system) = P(X = 1) = 0.84

P(X = 2 with the first two systems) = 0.84 * 0.84 = 0.7056

P(X = 2 with the first and third systems) = 0.84 * 0.84 = 0.7056P(X = 2 with the second and third systems) = 0.84 * 0.84 = 0.7056

P(X = 3 with all three systems) = 0.84 * 0.84 * 0.84 = 0.592704

P(at least one of the systems will detect the attack) = 0.84 + 0.84 + 0.84 - 0.7056 - 0.7056 - 0.7056 + 0.592704 = 0.9972.

Therefore, the probability that at least one of the systems will detect the attack is 0.9972 when three systems are installed. We can observe that as the number of detection systems installed increases, the probability of detecting an attack increases. Therefore, it is recommended to use multiple detection systems.

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The probability that at least one of the systems will detect the attack is 0.9959.

The probability that a single detection system will detect an attack is 0.84.

a. The probability that a single detection system will detect an attack can be calculated using the binomial probability formula:

P(X = 1) = nCk * p^k * (1 - p)^(n - k)

Here, n = 1 (number of trials), k = 1 (number of successes), and p = 0.84 (probability of success).

P(X = 1) = 1C1 * 0.84^1 * (1 - 0.84)^(1 - 1)

= 0.84

Therefore, the probability that a single detection system will detect an attack is 0.84.

b. If two detection systems are installed in the same area and operate independently, the probability that at least one of the systems will detect the attack can be calculated as the complement of the probability that both systems fail to detect the attack.

P(at least one system detects the attack) = 1 - P(both systems fail to detect the attack)

Since the systems operate independently, the probability that each system fails to detect the attack is (1 - 0.84) = 0.16.

P(both systems fail to detect the attack) = 0.16^2 = 0.0256

P(at least one system detects the attack) = 1 - 0.0256

= 0.9744 (rounded to 4 decimal places)

Therefore, the probability that at least one of the systems will detect the attack is 0.9744.

c. Similarly, if three systems are installed, the probability that at least one of the systems will detect the attack can be calculated as the complement of the probability that all three systems fail to detect the attack.

P(at least one system detects the attack) = 1 - P(all three systems fail to detect the attack)

P(all three systems fail to detect the attack) = (1 - 0.84)^3 = 0.004096

P(at least one system detects the attack) = 1 - 0.004096

= 0.9959 (rounded to 4 decimal places)

Therefore, the probability that at least one of the systems will detect the attack is 0.9959.

d. Based on the probabilities calculated, it is recommended to use multiple detection systems. The probability of detecting an attack increases significantly when multiple systems are installed. Having redundancy in the detection systems enhances the reliability and ensures a higher chance of detecting enemy attacks.

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(a) A random sample of 15 individuals, the mean of the sampling distribution (μx) is 0.5, and the standard deviation (σx) is approximately 0.074.

(b)  A random sample of 60 individuals, the mean of the sampling distribution (μx) is 0.5, and the standard deviation (σx) is approximately 0.037.

(a) For a random sample of 15 individuals, the mean and standard deviation of the sampling distribution of x can be calculated using the following formulas:

μx = μ = 0.5 (since the population mean is given as μ = 0.5)

σx = σ / √n

= 0.289 / √15

≈ 0.074 (rounded to three decimal places)

Therefore, for a random sample of 15 individuals, the mean of the sampling distribution (μx) is 0.5, and the standard deviation (σx) is approximately 0.074.

(b) Similarly, for a random sample of 60 individuals, we can calculate the mean and standard deviation of the sampling distribution using the same formulas:

μx = μ = 0.5

σx = σ / √n

= 0.289 / √60

≈ 0.037 (rounded to three decimal places)

Therefore, for a random sample of 60 individuals, the mean of the sampling distribution (μx) is 0.5, and the standard deviation (σx) is approximately 0.037.

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Answer:

True, False

Step-by-step explanation:

Answer:

the first one is true

and the second one is false

Step-by-step explanation:

multiplication goes in any other however division does not

example: 4×2=8 and 2×4 is also = 8

but 4÷2 =2 but 2÷4 is not equal to 2

The minimum size of a cut where size is number of edges in the cut, for a graph that has more than one connected component is 1.

In graph theory, a bridge, also known as a cut-edge, is a fundamental concept that refers to an edge in a graph that has the property of disconnecting the graph when it is removed. This means that when an edge is considered a bridge, the removal of that edge would result in an increase in the number of connected components in the graph. The importance of bridges in graph theory lies in the fact that they provide a way to break down a complex graph into smaller, simpler components that can be analyzed and understood individually. Bridges can be found in many different types of graphs, including undirected graphs, directed graphs, and weighted graphs. It is also important to note that in a graph with more than one connected component, there must exist at least one bridge, meaning that the minimum size of a cut in a graph is 1. This is because a bridge is the edge that separates the graph into two or more separate components.

The minimum size of a cut in a graph is 1. This occurs in the case of a "bridge", where removing a single edge from the graph would result in two separate connected components. In any graph with more than one connected component, there must exist at least one bridge, meaning that the minimum size of a cut is 1.

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Step-by-step explanation:

To determine the age of the skull, we can use the equation for radioactive decay:

N = N0 * e^(-kt)

where N is the remaining amount of C-14, N0 is the initial amount of C-14, k is the decay constant, and t is the time elapsed.

In this situation, we know that N = 0.51N0 (since the skull contains 51% of its original amount of C-14) and k = 0.0001. Plugging these values in, we get:

0.51N0 = N0 * e^(-0.0001t)

Simplifying, we can divide both sides by N0 to get:

0.51 = e^(-0.0001t)

Taking the natural log of both sides, we get:

ln(0.51) = -0.0001t

Solving for t, we get:

t = -ln(0.51)/0.0001

t ≈ 3,841 years

Therefore, the age of the skull is approximately 3,841 years old.

Answer:

5x

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-8" was replaced by "/(-8)".

STEP  1  :

Simplify       2/-1

Equation at the end of step  1 :

 (5x + 2) +  -2

Final result :

 5x

The 95th percentile of the variance of a random sample of size 15 from a normal population with a variance of 3 is approximately 23.685.

The sampling distribution of the variance follows a chi-square distribution, with degrees of freedom equal to n-1, where n is the sample size.
When the population variance is known, we can use the chi-square distribution to find the probability of getting a certain sample variance. In this case, the population variance is given as 3.
Therefore, the sampling distribution of the variance will be a chi-square distribution with 14 degrees of freedom:

(n-1 = 15-1 = 14).

To find the 95th percentile of the chi-square distribution with 14 degrees of freedom, we can use a chi-square table or a calculator. Using a chi-square table or calculator, we find that the 95th percentile of the chi-square distribution with 14 degrees of freedom is approximately 23.685.

This means that there is a 95% chance that the sample variance will be less than or equal to 23.685.

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The 95th percentile of the variance of a random sample of size 15 from a normal population with a variance of 3 is approximately 23.685.

The sampling distribution of the variance follows a chi-square distribution, with degrees of freedom equal to n-1, where n is the sample size.

When the population variance is known, we can use the chi-square distribution to find the probability of getting a certain sample variance. In this case, the population variance is given as 3.

Therefore, the sampling distribution of the variance will be a chi-square distribution with 14 degrees of freedom:

(n-1 = 15-1 = 14).

To find the 95th percentile of the chi-square distribution with 14 degrees of freedom, we can use a chi-square table or a calculator. Using a chi-square table or calculator, we find that the 95th percentile of the chi-square distribution with 14 degrees of freedom is approximately 23.685.

This means that there is a 95% chance that the sample variance will be less than or equal to 23.685.

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Answer:

D. none

Step-by-step explanation:

we only know about the right angle at the bottom right.

that is not enough information.

we always need 3 pieces of confirmed information of each triangle to be able to say that the 2 triangles are indeed of the same shape and size.

like the other answer options would indicate :

SAS : side - angle - side.

2 sides and the enclosed angle. if we know they are equal, then the rest of the triangles follow automatically.

SSS : all 3 sides. with 3 defined sides there is only one possible shake and size for that triangle.

HL : Hypotenuse and a leg of a right-angled triangle (also 3 pieces of information - 2 sides and the right angle).

since we have only the right angle and nothing else, we cannot prove that the triangles are congruent.

Answer:

Width of the rectangle = 10 feet

Length of the rectangle = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width of the rectangle = x feet

Length of the rectangle = 3x - 5 feet

Perimeter of the rectangle = 70 feet

Perimeter of a rectangle = 2(length + width)

70 = 2{x + (3x - 5)}

70 = 2{x + 3x - 5}

70 = 2(4x - 5)

70 = 8x - 10

70 + 10 = 8x

80 = 8x

Divide both sides by 8

x = 80 / 8

= 10

Width of the rectangle = 10 feet

Length of the rectangle = 3(10) - 5

= 30 - 5

= 25 feet

Answer:

If you still need the answer it’s c

Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,

The factorization is the form

(x-a) (x-b) where a and b are the zeros

(x-3) (x-2)

Answer:

It's right

Step-by-step explanation:

(dk how to show prove but thank?

The vectors \(v1\), \(v2, v3, v4,\) and \(v5\) are linearly independent. The basis for the area covered by \(v1, v2, v3, v4,\) and \(v5\).

We can construct a matrix with the vectors as its columns and rows reduce it using Gaussian elimination to find out which of the five vectors is linearly independent. The vectors are linearly independent if the row-reduced matrix has a pivot in each row. If not, some of the vectors rely linearly.

The five-vectors will be indicated as follows:

\(v1 = [1 2 3 4]\)

\(v2 = [0 1 2 3]\)

\(v3 = [1 1 1 1]\)

\(v4 = [1 0 -1 0]\)

\(v5 = [0 1 0 -1]\)

They can be set up as a matrix's columns:

\(A = [1 0 1 1 0; 2 1 1 0 1; 3 2 1 -1 0; 4 3 1 0 -1]\)

To get this matrix's reduced row echelon form, we can row reduce it as follows:

\(R = [1 0 0 -1/2 1/2; 0 1 0 1/2 -1/2; 0 0 1 -1 2; 0 0 0 0 0]\)

The centre point in the row-reduced matrix indicates that the vectors \(v1\), \(v2, v3, v4,\) and \(v5\) are linearly independent.

We can utilize the vectors themselves since they constitute a set that is linearly independent to identify a basis for the space that these vectors cover. The basis for the area covered by \(v1, v2, v3, v4,\) and \(v5\) is therefore only \(v1, v2, v3, v4\), and \(v5.\)

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Answer:

The length of the diagonal from P to Q is

\( \sqrt{ {9}^{2} + {12}^{2} + {8}^{2} } = \sqrt{289} = 17\)

Answer:

78

Step-by-step explanation:

The median in a stem-and-leaf diagram is the number that is repeated the most. In this case, the number 78 is repeated 4 times (7 | 8 8 8 8). No other number in the diagram is repeated as much or more than the number 78.

Do not make the mistake of writing the answer as 8 instead of 78.You also want to make sure you don't accidently count 68 which is repeated twice (by looking at the 8's at the end and thinking it's part of the all/rest of the 8's in the diagram).

Hope this helps :)

The marginal cost will most likely increase to $2.00

Marginal cost is the change in the production costs that would be required to make one extra unit of production.

The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, decreasing the profit.

For example, if a company produces a cup for $5, and 10 cups would be $50, therefore, the marginal cost is the extra cost it would take to manufacture an additional cup.

Hence, the marginal cost will most likely increase to $2.00

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Answer:

B The marginal cost will most likely increase to $2.00

Step-by-step explanation:

I took the assignment. :)

It is recommended that when an ambulance arrives at an accident scene, it should park a safe distance away from the scene, at least 500 feet away.

This is to ensure the safety of the paramedics and other emergency responders, as well as to ensure that the ambulance does not impede the movement of other emergency vehicles. Additionally, it is also to protect the privacy of the individuals involved in the accident and ensure that the scene is not tampered with.

It is also important to follow any additional instructions given by the police or fire department at the scene, as they may have specific parking instructions based on the situation.

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The distance from the ground to the ladybug is 9 inches.

We can use trigonometry to solve this problem.

Let's assume that the distance between the second hand and the center of the clock is negligible compared to the length of the minute hand.

At 3:15, the minute hand is pointing directly at the 3 and the second hand is pointing directly at the 12. The angle between the minute hand and the second hand is 90 degrees.

We can draw a right triangle with the minute hand as the hypotenuse and the distance from the center of the clock to the ladybug as one of the legs. Let's call this distance "x". The length of the minute hand is 9 inches, so we have:

sin(90) = x/9

Simplifying this equation, we get:

x = 9sin(90)

x = 9

Therefore, the distance from the ground to the ladybug is 9 inches.

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The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance

The parameters that will help us to determine the graph are

Decorations for the dance cost $80,

The club is charging $10 per student that attends

This forms a linear equation:

y = mx + b

y = 10x - 80

Plotting the graph:

That is the full solution of the equation

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Check the picture below.