The numerator is 4 and the denominator is 110,000 divide them. show working​

Answer:

19

Step-by-step explanation:

Plug in

For Igor's answer, there are 6 pencils in each pack. For Elsa's answer, there are 18 pencils in 3 packs. You just need to devide 36 by 3 and 6 to find each of their answers.

Answer:

Step-by-step explanation:

H

The midpoint of the line segment AB is ( - 3.5, - 0.5 ).

A line segment is a section of a straight line that is enclosed by two clearly defined endpoints and contains every point on the line located within.

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

The midpoint M of the line segment formed by two points P(x₁, y₁) and Q(x₂, y₂) is:

M( (x₁ + x₂) / 2 , (y₁ + y₂ ) /2 )

Now,

Let A( - 1, - 6) = (x₁, y₁) and B( - 6, 5) = (x₂, y₂)

Therefore, the halfway point of the segment AB with points A (−1, −6) and B (−6, 5) is:

midpoint = [ ( -1 - 6) / 2 , ( -6 + 5) / 2 ]

midpoint = [ - 7/ 2, -1/ 2 ]

midpoint = ( - 3.5, - 0.5 )

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Answer:

1.2

Step-by-step explanation:

So in the picture, there is the working out I did (sorry for the bad writing). When you work out the question, remember to match the decimal points (I've done this in the pic). The answer I got was 1.20 but that is the same as 1.2.

hope this helps :)

Answer:3.5

Step-by-step explanation:

Answer:

Sorry I don't know this one, I got 5.32

Step-by-step explanation:

The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.

In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup.  Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.

By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.

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Answer:Y=2

Step-by-step explanation:

Answer:

y =-1

Step-by-step explanation:

The statement "with respect to the 3-sigma rule used in reliability analysis, studies have shown that even experts tend to under-predict the range in parameter values (max-min). however, this is conservative because it leads to a smaller estimate of reliability" is true because studies have shown that experts tend to under-predict the range in parameter values when using the 3-sigma rule, leading to a conservative estimate of reliability.

The 3-sigma rule is a widely used method in reliability analysis that assumes the range of parameter values is within three standard deviations of the mean value. However, studies have shown that experts tend to under-predict the range of parameter values.

This under-prediction can result in a conservative estimate of reliability because it leads to a smaller range of possible outcomes. In other words, the estimated reliability is likely to be lower than the actual reliability. Therefore, it is important to take into account the potential for under-prediction when using the 3-sigma rule and to use other methods to estimate reliability as well.

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The value of x for all the figures are given below respectively.

The branch of mathematics that studies the relationships between the sides and angles of triangles is known as Trigonometry.

1. In given figure base = 5 and hypotenuse = 10 .

to find x i.e height we will use trigonometry-

tan 60° = x/5

√3 = x/5

5√3=x

Therefore, the value of x is 5√3.

2. In given figure base = 1 and height = √3  and angle given is 60°.

to find x i.e hypotenuse we will use trigonometry-

sin 60° = √3/x

√3/2 = √3/x

x = √3×2/ √3

x = 2

Therefore ,value of x is 2.

3. In given figure base = 3 and hypotenuse = 6 .

to find x i.e height we will use trigonometry-

tan 60° = x/3

√3 = x/3

3√3 = x

Therefore,value of x is 3√3.

4. In given figure base = 1 and height = 1  and angle given is 45°.

to find x i.e hypotenuse we will use trigonometry-

sin 45° = 1/x

1/√2 = 1/x

x = √2

Therefore ,value of x is √2.

5.  In given figure height = 4√2  and angle given is 45°.

to find x i.e hypotenuse we will use trigonometry-

sin 45° = 4√2/x

1/√2 = 4√2/x

x = 4√2 × √2

x = 8

Therefore,value of x is 6.

6. In given figure hypotenuse = 10 and angle given is 45°.

to find x i.e base we will use trigonometry-

cos 45° = x/10

1/√2 = x/10

10/√2 = x

Therefore,value of x is 10/√2.

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The answer to the question is no, there is not convincing evidence of a difference between the population proportions.

Confidence intervals are used to estimate the range of possible values of an unknown population parameter based on a sample. If the confidence interval does not contain 0, it means that the difference between the sample proportions is statistically significant, which suggests that the difference between the population proportions may also be statistically significant. However, to conclude that there is convincing evidence of a difference between the population proportions, it is important to make sure that the conditions for performing the hypothesis test have been met, such as the independence of the sample and the normality of the population.

In this case, it seems that the conditions have not been met, so we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify Egypt on the map is different from the true proportion of women that can identify Egypt on a map.

Therefore, the answer to the question is no, there is no convincing evidence of a difference between the population proportions.

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The answer to the question is no, there is not convincing evidence of a difference between the population proportions.

Confidence intervals are used to estimate the range of possible values of an unknown population parameter based on a sample. If the confidence interval does not contain 0, it means that the difference between the sample proportions is statistically significant, which suggests that the difference between the population proportions may also be statistically significant. However, to conclude that there is convincing evidence of a difference between the population proportions, it is important to make sure that the conditions for performing the hypothesis test have been met, such as the independence of the sample and the normality of the population.

In this case, it seems that the conditions have not been met, so we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify Egypt on the map is different from the true proportion of women that can identify Egypt on a map.

Therefore, the answer to the question is no, there is no convincing evidence of a difference between the population proportions.

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Answer:

Option A

The answer is 12

Step-by-step explanation:

m + 2(t – d); d = 2, m = 4 and t = 6

4 + 2(6 – 2)

4 + 2(4)

4 + 8 = 12

Thus, The answer is 12

-TheUnknownScientist 72

Answer:

We found the factors and prime factorization of 32 and 48. The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.

Step-by-step explanation:

What is the GCF of 32and 48?

16

Greatest common factor (GCF) of 32 and 48 is 16.

To find the expected winnings from flipping this coin, we need to calculate the weighted average of the possible outcomes.

Let's assign the following values:
- Probability of getting heads: P(H) = h
- Probability of getting tails: P(T) = t
- Probability of landing on its edge: P(E) = e

The amount won for each outcome is as follows:
- If heads, you win $1
- If tails, you win $3
- If edge, you lose $5

To calculate the expected winnings, we multiply the amount won by the respective probabilities for each outcome and sum them up:

Expected winnings = P(H) * ($1) + P(T) * ($3) + P(E) * (-$5)

Let's substitute the given probabilities:
Expected winnings = h * ($1) + t * ($3) + e * (-$5)

The sum of probabilities must equal 1, so we have:
h + t + e = 1

We can solve this system of equations to find the values of h, t, and e.
Since the question does not provide values for h, t, and e, we cannot determine the expected winnings.

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The derivative of y = x^2 * log2(x^(2/3)) is dy/dx = 2x * log2(x^(2/3)) + (2/3) * x^(5/3) / ln(2), which can be derived using the product rule and chain rule. derivative of y = ln(cos(ln(x))) is dy/dx = -sin(ln(x)) / (x * cos(ln(x))).

(a) To find the derivative of y = x^2 * log2(x^(2/3)), we can use the product rule and chain rule.

Applying the product rule, we have:

dy/dx = 2x * log2(x^(2/3)) + x^2 * d/dx[log2(x^(2/3))]

Using the chain rule, the derivative of log2(x^(2/3)) can be calculated as:

d/dx[log2(x^(2/3))] = (1 / ln(2)) * (2/3) * (1/x^(1/3))

Substituting this back into the equation, we have:

dy/dx = 2x * log2(x^(2/3)) + (2/3) * (x^2 / x^(1/3)) * (1 / ln(2))

Simplifying further, the derivative is:

dy/dx = 2x * log2(x^(2/3)) + (2/3) * x^(5/3) / ln(2)

(b) To find the derivative of y = ln(cos(ln(x))), we can use the chain rule.

Applying the chain rule, we have: dy/dx = (1 / cos(ln(x))) * d/dx[cos(ln(x))]

The derivative of cos(ln(x)) can be calculated as:

d/dx[cos(ln(x))] = -sin(ln(x)) * (1/x)

Substituting this back into the equation, we have:

dy/dx = (1 / cos(ln(x))) * (-sin(ln(x)) * (1/x))

Simplifying further, the derivative is: dy/dx = -sin(ln(x)) / (x * cos(ln(x)))

(c) To find d(dx/dy) at x=0, we need to differentiate the equation y^2 * x - ln(x+y) = 0 implicitly with respect to x.

Differentiating both sides with respect to x, we have:

2y * dy/dx * x + y^2 - (1/(x+y)) * (1+y * dy/dx) = 0

To find d(dx/dy), we need to solve for dy/dx: dy/dx = (-(y^2))/(2xy + 1 + y)

To find d(dx/dy) at x=0, we substitute x=0 into the expression:

dy/dx = (-(y^2))/(2y + 1 + y)

dy/dx = (-(y^2))/(3y + 1)

At x=0, the expression simplifies to: dy/dx∣∣x=0 = (-(y^2))/(3y + 1)

(d) To find the derivative of y = x^(x/ln(x)), for x > 0, we can use the exponential rule and the chain rule.

Taking the natural logarithm of both sides, we have: ln(y) = (x/ln(x)) * ln(x)

Differentiating implicitly with respect to x, we have:

(1/y) * dy/dx = (1/ln(x)) * ln(x) + (x/ln(x)) * (1/x) * ln(x)

Simplifying, we have:

dy/dx = y * [(1/ln(x)) + 1]

dy/dx = x^(x/ln(x)) * [(1/ln(x)) + 1]

(e), (f), (g), and (h) will be answered in separate responses.

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Ratio compares two things. The length of the trail, in reality, is 6.75 km.

A scaling ratio helps us to compare two things.

Given to us

The scale on the map states that 2 centimeters represent 3 kilometers.

Length of the trail on the map, L = 4.5 cm = 0.045 m

As we know that 2 centimeters represent 3 kilometers. therefore,

\(\rm \dfrac{Map}{Real} = \dfrac{0.02\ m}{3000\ m}\)

We know that the Length of the trail on the map is 0.045 m,

\(\rm \dfrac{L}{L'} = \dfrac{0.02\ m}{3000\ m}\)

Substitute the value,

\(\rm \dfrac{0.045}{L'} = \dfrac{0.02\ m}{3000\ m}\\\\L' = 6750\ m\\\\L' = 6.750\ km\)

Hence, the length of the trail, in reality, is 6.75 km.

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If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

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Answer:

the answer will be B)8,491 mm

Step-by-step explanation:

i hope it helps

have a nice day ^_^

10) These angles are vertical angles.

Whenever two lines intersect, vertical angles are always formed.

Vertical angles are always congruent so we know that b = 43°.

1) Notice that there is a box at the vertex of <EBF.

This tells us that it measures exactly 90 degrees.

Also note that <ABC is a straight angle which means its 180 degrees.

So we have x + 10 + 90 + 2x + x = 180.

First simplify the left to get 4x + 100 = 180.

Solving from here, we find that x = 20.

2) Notice that <AEC and <DEB are vertical angles.

Vertical angles are congruent so we

can setup the equation 3x + 18 = 5x + 6.

First subtract 3x from both sides to get 18 = 2x + 6.

Now subtract 6 from both sides to get 12 = 2x.

Solving from here, we have x = 6.

The system of equations is 3x - 2y = 1 and y = 5x - 4

The equations are given as:

Ax + By = C

y = mx + b

The solution is given as (1,1).

This means that:

Ax + By = C

A(1) + B(1) = C

A + B = C

y = mx + b

1 = m(1) + b

1 = m + b

By assuming values for the variables in the equation, we have:

A + B = C ⇒ 3 - 2 = 1

1 = m + b ⇒ 1 = 5 - 4

Hence, the system of equations is

3x - 2y = 1

y = 5x - 4

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The statement is True. It is true that if A and B are 2 × 2 matrices, and det(A) = det(B) = 0, then det(A + B) = 0.

If A and B are matrices such that det(A) = det(B) = 0, then their eigenvalues are 0. It follows that the eigenvalues of A + B are the sums of the eigenvalues of A and B.

The sum of the eigenvalues of A and B is 0 + 0 = 0, and hence the determinant of A + B is 0.30. True.

If A is a 2 × 2 matrix and det(A) ≠ 0, then A is invertible. An invertible matrix has a unique inverse, which means that its determinant is non-zero. If det(A) ≠ 0, then A has an inverse matrix, and hence is invertible.

Conversely, if det(A) = 0, then A is singular and hence not invertible. 31. False. It is not true that if all the entries of an n × n matrix are positive then its determinant is positive.

The statement is true for 2 × 2 matrices but is not true in general for n × n matrices where n > 2. For instance, consider the matrix \begin{pmatrix}1&1&1\\1&1&1\\1&1&1\end{pmatrix} . Its entries are all positive, but its determinant is 0.

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Answer:

There are 144 cards in 12 packages

Step-by-step explanation:

Direct Proportion

The number of trading cards is directly proportional to the number of packages. We are given there are 84 cards in 7 packages.

Let x= number of packages, y=total number of cards

The direct variation equation is:

y = m.x

Where m is a constant we need to find by using the given data: y=84 when x=7, thus

84 = 7m

Dividing by 7:

m = 84/7=12

The equation is:

y = 12x

For x = 12 packages:

y = 12*12 = 144 cards

The answer is:

There are 144 cards in 12 packages

The volume of the right square pyramid is 320 in³.

Volume is a measure of the amount of space that an object takes up. It is usually measured in cubic units, such as cubic centimeters, cubic meters, or cubic feet. Volume is an important concept in mathematics, physics, and engineering, as it can be used to calculate the size and mass of an object. It can also be used to calculate the amount of liquid or gas that can fit into a container.

The volume of a right square pyramid can be calculated using the formula V = (1/3)lhs.

Therefore, the volume of the right square pyramid with the given dimensions is:

V = (1/3) x 10 in x 6 in x 16 in

V = 320 in³

Therefore, the volume of the right square pyramid is 320 in³.

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The volume of the pyramid is 320in cubic units

volume is a measure of space occupied by an object,

the formula for the volume of a pyramid is equal to one third of the product of the height and the base area of the pyramid

The pyramid that has a square base is known as Square pyramid.

square pyramid has 4 faces and 1 square base.

The volume of the square pyramid is given by the formula

V=(1/3)*(base area of a square)*(height of the square pyramid)cubic units

V=(1/3)AH cubic units

The volume of the pyramid is V= (base length*base width*height)/3

V=(1/3)l*s*h

V=(1/3)10*16*6

V=320 in

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The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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Answer:

2.25

Step-by-step explanation:

Notice how the common ratio is -1/3, which means the series passes part 1 of the convergence test because -1/3 is in between -1 and 1.

We can also represent this as a summation series of

\(Σ3( - \frac{1}{3} ) {}^{n - 1} \)

Since we can represent this a summation series, we can use that convergent value is equal to

\( \frac{a _{1} }{1 - r} \)

where a1 is initial term and r is common ratio.

R is -1/3

A1 is 3.

\( \frac{3}{1 - \frac{ - 1}{3} } = \frac{3}{ \frac{4}{3} } = 2.25\)

So the answer is 2.25

The probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

What is Poisson distribution?

The Poisson distribution refers to a probability distribution expressing the probability of a specific number of events occurring in a fixed interval of time, if these events occur with a known constant mean rate and independent of the occurrence of the last event.

P(E) = Probability of occurrence of E in a fixed interval 'x', with constant mean = \(\frac{e^{-mean}. mean^{x}}{x!}\)

Step-by-step explanation:

Let A be the number of lightning strikes in a year at the top of particular mountain. Here, A follows Poisson distribution with mean = 2.1.

According to the question, x = 4, mean = 2.1

Thus, putting it in the formula for Poisson distribution, we get:

P(A) = \(\frac{e^{-2.1}(2.1)^{4} }{4!}\) = \(\frac{0.122(19.44)}{24}\) = 0.098

=> P(A) = 0.098

Hence, the probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

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By finding the side length of the square, we will see that the area is 20 square units.

For a square of side length S, the area is:

A = S^2

In this case, the side length of the square will be the distance between two consecutive vertices, so we can say that S is the distance between points G and O.

Remember that the distance between two points (x₁, y₁) and (x₂. y₂) is:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

So the distance between the points G(1, 0) and O(5, 2) is:

\(S = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{20}\)

Then the area of this square is:

\(A = S^2 = (\sqrt{20})^2 = 20\)

The area is 20 square units.

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