in a class of 30 children
60% of the students are girls.how

Answer:

0.40 is the correct answer

Answer:

0.35

Step-by-step explanation:

Labeling systems exist to roughly categorize r values where correlation coefficients (in absolute value) which are ≤ 0.35 are generally considered to represent low or weak correlations, 0.36 to 0.67 modest or moderate correlations, and 0.68 to 1.0 strong or high correlations with r coefficients > 0.90 very high.

The height of the building is approximately 554.26 feet.

To find the height of the building, you can use the tangent formula in trigonometry. The formula you need is:
height = distance × tan(angle)
where "height" is the height of the building, "distance" is the distance from the base of the building, and "angle" is the angle of elevation.
In this case, the distance is 2 miles and the angle of elevation is 3 degrees. First, convert the angle to radians:
angle (in radians) = angle (in degrees) × (π/180)
angle (in radians) = 3 × (π/180) ≈ 0.05236 radians
Now, plug the values into the formula:
height = 2 miles × tan(0.05236 radians)
To get the height in feet, convert miles to feet (1 mile = 5280 feet):
height = (2 × 5280) × tan(0.05236 radians) ≈ 554.26 feet

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Answer:

C

Step-by-step explanation:

trust me dude im too lazy to explain :)

Answer:

8580 yards

Step-by-step explanation:

\(4 \frac{7}{8}miles \times 1760 \frac{yards}{mile} = 8580yards\)

The total will the friend's paddle combined is 51480 yards.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

The Great Adventures Canoe and Kayak company offers 3 different options as shown in the table.

This afternoon a group of  6 friends is paddling the Adventure Mid Trip in individual kayaks.

The totals will the friends paddle combined is;

\(\rm = 4\dfrac{7}{8} \times 6\\\\=\dfrac{4\times 8+7}{8}\times 6\\\\=\dfrac{32+7}{8} \times 6\\\\ =\dfrac{39}{8} \times 6 \\\\=\dfrac{234}{8}\\\\= 29.25\)

Here 1 mile = 1760 yards

The totals will the friends paddle combined is;

\(= 29.25 \times 1760\\\\=51480\)

Hence, The total will the friend's paddle combined is 51480 yards.

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Refer to attachment for your answer

The inequality 54x/64 ≥ 49x/59 simplifies to x ≥ 0. Thus, the solution for x is greater than or equal to zero.

To solve the inequality 54x/64 ≥ 49x/59, we can begin by cross-multiplying:

(54x)(59) ≥ (49x)(64)

3186x ≥ 3136x

Next, we can subtract 3136x from both sides:

3186x - 3136x ≥ 0

50x ≥ 0

Finally, we divide both sides by 50:

x ≥ 0/50

x ≥ 0

Therefore, the solution to the inequality is x ≥ 0.

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Answer:

9

Step-by-step explanation:

4-x = 5(16-x)

44-x = 80-5x

4x = 36

x = 9

In 33 weeks, they will have sold 150 units.

What is sales of products?

Selling a good or service in exchange for cash, a benefit, or some other kind of payment is known as product sales. When a customer purchases a good or service that will meet their needs, the transaction is known as a product sale. The quantity of goods sold during a specific time period aids in calculating product sales.

Step by Step Explaination:

Equation that models the sales of the product

The equation that models the sales of the product after an initial release exists:

s = 12√4 + 10

where s denotes the total sales (in thousands)

t denotes the time in weeks

you want to replace the s with 150 in the equation and then just solve

for t.

150 = 12√4t + 10

Subtract 10 from both sides

150 - 10 = 12√4t + 10

140 = 12√4t

Divide both sides by 12      

11.66= √4t  

Taking square root on both sides of the equation.    

135.95 = 4t      

Now divide both sides by 4

33.98 = t (approximately).

so in 33 weeks, they will have sold 150 units.

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Answer The formula df = (c – 1) (r – 1) is used to find the degree of freedom – The degree of freedom of the chi-square test is calculated by the formula df = (c – 1) (r – 1), where c represents the column number of cell and r represents the row number of the cell.

Answer:

\(10\)

Step-by-step explanation:

\(5m-4n+p\)

You would substitute in the given values and then combine like terms

\(m=4\\n=3\\p=2\)

\(5(4)-4(3)+(2) = 20-12+2=10\)

The calculated value of the tenth term, b₁₀ of the sequence is 78732

From the question, we have the following parameters that can be used in our computation:

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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a) The utility depends on both health (H) and consumption of other goods (X).

b) The coefficient is negative, indicating a negative relationship between two variables.

c) Health (H) is greater than zero, suggesting a positive value for health.

d) Health (H) is a function of a variable denoted as 'm'.

e) The variable 'm' is greater than zero and the coefficient is negative.

f) The product of two variables, 'm' and 'm', is negative.

a) The expression in (a) is reasonable as it acknowledges that utility is influenced by both health and consumption of other goods. It recognizes that happiness or satisfaction is derived not only from health but also from other aspects of life.

b) The expression in (b) suggests a negative coefficient and a negative relationship between the variables. This could imply that an increase in one variable leads to a decrease in the other. The reasonableness of this relationship would depend on the specific variables involved and the context of the theoretical framework.

c) The expression in (c) states that health (H) is greater than zero, which is reasonable as health is generally considered a positive attribute that contributes to well-being.

d) The expression in (d) indicates that health (H) is a function of a variable denoted as 'm'. The specific nature of the function or the relationship between 'm' and health is not provided, making it difficult to assess its reasonableness without further information.

e) The expression in (e) states that the variable 'm' is greater than zero and the coefficient is negative. This implies that an increase in 'm' leads to a decrease in some other variable. The reasonableness of this relationship depends on the specific variables involved and the theoretical context.

f) The expression in (f) suggests that the product of two variables, 'm' and 'm', is negative. This implies that either 'm' or 'm' (or both) are negative. The reasonableness of this expression would depend on the meaning and interpretation of the variables involved in the theoretical framework.

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Answer:

X=10

MArk me brainliest

Step-by-step explanation:

Answer: The value of x is 10! How, you might ask, it is because it is reduced!

The utilization of the teller is approximately 53.33%.

To calculate the utilization of the teller, we need to compare the arrival rate and the service rate. The utilization represents the fraction of time the server (teller) is busy serving customers.

The arrival rate is given as 8 customers per hour, which means that, on average, 8 customers arrive at the teller's window in one hour. This follows a Poisson distribution.

The service rate is given as 15 customers per hour, indicating that, on average, the teller is able to serve 15 customers in one hour. The service times follow an exponential distribution.

Utilization is calculated as the ratio of the arrival rate to the service rate. In other words:

Utilization = Arrival rate / Service rate

Substituting the given values:

Utilization = 8 / 15 ≈ 0.5333

To express this as a percentage, we multiply the result by 100:

Utilization = 0.5333 * 100 ≈ 53.33%

Therefore, the utilization of the teller in this scenario is approximately 53.33%. This means that, on average, the teller is occupied serving customers about 53.33% of the time, and the remaining time is idle or available for serving new customers.

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Answer:

Step-by-step explanation:

That's an awful lot of points. You don't have to give that many. 10 or 15 points would be more than enough.

The graph touches the x axis at 1 point. That means its basic formula is y = (x - a)^2

Since it  upside down, the formula is y = -(x - a)^2. A couple of other things are true.

a = 1 because that's where the graph touches the x axis. y = - x^2 has shifted 1 unit to the right.

Finally the y intercept is -4 which means that the final equation is y = -4(x-1)^2

That's all preliminary. The actual question is, what does the discriminate look like?

y = -4(x^2 - 2x + 1)

y = -4x^2 + 8x - 4

a = - 4

b = 8

c = - 4

sqrt(b^2 - 4ac)

sqrt(8^2 - 4(-4)(-4) )

sqrt(64 - 64) = 0

The answer is the third one. The answer will always be 0 when the graph touches the x axis and does not go through it.

Answer:

Possible

plz give brailiest

\(y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8\)

The Braille system uses two vertical columns of three dots each to represent characters. There are 8 possible combinations for each column, giving a total of 64 distinct Braille characters.

The Braille system of representing characters was developed by Louis Braille in the early nineteenth century. This system is used by blind people and consists of raised dots that represent characters. The positions for the dots are selected from two vertical columns of three dots each. At least one raised dot must be present to represent a character.

To determine the number of distinct Braille characters possible, we need to consider the number of ways we can arrange the dots in the two vertical columns. Each column has three dots, and we need to choose which of these three dots to raise to represent a character. This gives us a total of 2^3 = 8 possible combinations for each column.

Since we have two columns, we can multiply the number of possible combinations for each column to get the total number of distinct Braille characters. This gives us 8 x 8 = 64 possible characters.

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The correct interpretation of the confidence interval is: "We can estimate with 95% confidence that the true population mean pizza delivery time is between 33.78 and 38.22 minutes."

The confidence interval represents a range of values within which the

population mean delivery time is likely to fall, based on the sample data.

It does not provide information about the delivery times of individual pizzas

or restaurants.

The confidence level refers to the percentage of times that the true

population mean would be expected to fall within the interval if the same

sampling procedure were repeated many times.

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The equivalent resistance of the circuit is given by:

D. 2 Ω

In this problem, there are two resistors in parallel, with resistances of 4 Ω, hence:

Req = 4 x 4/(4 + 4) = 16/8 = 2 ohms.

Hence option D is correct.

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The basis of the image of T is formed by the set of vectors in the x-y plane, by using the concept of Linear transformation.

For the given question, we will use the concept of Linear transformation.

A linear transformation is a function that maps one vector space to another vector space, and that preserves the vector space operations like addition and scalar multiplication. It is also known as linear mapping or linear operator and has the property that

T(ku) = kT(u) and T(u + v) = T(u) + T(v) ∀ vectors u and v and all scalars k.

There are different methods to find the basis of ker T, and im T, such as using the rank-nullity theorem, finding the reduced row echelon form of the matrix representation of T, or finding the eigenvectors and eigenvalues of T.

Let's find the basis of ker T, and the basis of im T for the given cases.

(a) T: P2 → R2; T(a + bx + cy2) = (a, b)
The kernel of T is the set of polynomials in P2 such that T(p) = (0, 0), or equivalently, a = b = 0.

Thus, the basis of ker T is {c2}, the set of polynomials of degree less than or equal to 1.

The image of T is the set of vectors in R2 that can be written as (a, b) = T(p) for some polynomial p in P2.

Thus, the image of T is the entire R2, and the basis of im T is {(1,0), (0,1)}.

(b) T: P2 → R2; T(p) = (p(0), p(1))
The kernel of T is the set of polynomials in P2 such that T(p) = (0, 0), or equivalently, p(x) = 0 for all x.

Thus, the basis of ker T is {x(x - 1)}.

The image of T is the set of vectors in R2 that can be written as (a, b) = T(p) for some polynomial p in P2.

Thus, the image of T is the set of linear combinations of the two vectors (1,0) and (0,1), which form a basis of im T.

(c) T: R3 → R3; T(x,y,z) = (x + y, x + y, 0)
The kernel of T is the set of vectors in R3 such that T(x, y, z) = (0, 0, 0), or equivalently, x + y = 0 and z = 0. Thus, the basis of ker T is {(1,-1,0), (0,0,1)}.

The image of T is the set of vectors in R3 that can be written as T(x, y, z) = (a, b, 0) for some a and b.

Thus, the image of T is the set of vectors in the x-y plane, which form a basis of im T.

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Answer:

i know i stole im trying to level up sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

iuef ousdfsbhhdfsd

Answer:

The expected rate of return is $442.5

Step-by-step explanation:

The expected rate of return is given by the following formula;

\(E[R] = \displaystyle\sum_{i=1}^n R_i \times P_i\)

Where;

E[R] = The expected return

\(R_i\) = The return received in the instance i

\(P_i\) = The probability for obtaining the return, \(R_i\), in the instance i

n = The number of instances for the calculation

Therefore, we have;

The expected rate of return E[R] = 0.3 × 200 + 0.5×415 + 0.2 × 875 = $442.5

Answer the answer is D 12.6%

Step-by-step explanation:

Starting with the least likely event, the chances of a politician fulfilling all his or her campaign promises can be quite low due to the complexities of politics and the potential for unforeseen circumstances.

Next, while full moons are relatively common, they occur approximately once a month, making it more likely than the politician's scenario but less likely than the other events.

Rolling a die and getting a 6 has a higher likelihood as there is a 1 in 6 chance of rolling a 6 on a fair six-sided die. The safe arrival of a person in New York City from Chicago is more probable than the previous events but still has an element of uncertainty regarding the fate of their luggage.

Randomly selecting an ace from a regular deck of 52 playing cards has a higher probability compared to the previous events, as there are four aces in a deck. The likelihood increases further when randomly selecting the queen of hearts, which is only one specific card out of the 52-card deck.

Finally, selecting a black card from a regular deck has the highest probability among the listed events since there are 26 black cards in the deck, including all the clubs and spades.

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Answer:

Step-by-step explanation:

Given,

Cost Price ( CP ) = Rs 400

Profit % = 4 %

Selling price ( SP ) = ?

now, Let's find the value of SP:

SP = \( \frac{CP \: (100 + \: profit percent \: )}{100} \)

Plug the values

\( = \frac{400(100 + 4)}{100} \)

Add the numbers

\( = \frac{400 \times 104}{100} \)

Multiply the numbers

\( = \frac{41600}{100} \)

Divide

= Rs \(416\)

Selling price ( SP ) = Rs 416

Hope this helps...

Best regards!!

The probability that a randomly selected call time will be less than 30 seconds is approximately 0.7445.

The problem involves exponential distribution which is a standard continuous distribution. The probability density function of this distribution is given by -

f(x) = θe^(-θx) ; where θ is a parameter and characteristic of the distribution, x is the random variable.

Also, the mean for an exponential distribution is given by u = 1/θ .

In the question it is 22 seconds.

So, the value of θ is 1/22.

Now, we have to find P(X<30) where X is the random variable denoting the calling time in seconds.

P(X<30) is nothing but F(x) at x = 30 seconds, i.e. cumulative distribution function. For an exponential distribution , F(X) is given by -

P(X<x)= F(X) = 1- e^(-θ x) , where x>0.

Putting θ = 1/22 and x= 30 in F(X) , we get -

F(X) = 1-e[(-1/22)30] = 1- 0.2555 = 0.7445 which is P(X<x) = P(X<30) = 0.7445.

So, the probability that a randomly selected call time will be less than 30 seconds is approximately 0.7445.

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The probability that a randomly selected call time will be less than 30 seconds is approximately 0.7445.

The problem involves exponential distribution which is a standard continuous distribution. The probability density function of this distribution is given by -

f(x) = θe^(-θx) ; where θ is a parameter and characteristic of the distribution, x is the random variable.

Also, the mean for an exponential distribution is given by u = 1/θ.

In the question, it is 22 seconds.

So, the value of θ is 1/22.

Now, we have to find P(X<30) where X is the random variable denoting the calling time in seconds.

P(X<30) is nothing but F(x) at x = 30 seconds, i.e. cumulative distribution function. For an exponential distribution , F(X) is given by -

P(X<x)= F(X) = 1- e^(-θ x) , where x>0.

Putting θ = 1/22 and x= 30 in F(X) , we get -

F(X) = 1-e[(-1/22)30] = 1- 0.2555 = 0.7445 which is P(X<x) = P(X<30) = 0.7445.

So, the probability that a randomly selected call time will be less than 30 seconds is approximately 0.7445.

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The angle of elevation from where Jack is standing to the top of the stairs is approximately 26.6 degrees.

To determine the angle of elevation, we can use trigonometry. The tangent function relates the angle of elevation to the ratio of the height opposite the angle (2 feet) to the distance adjacent to the angle (4 feet). In this case, we want to find the angle, so we can rearrange the equation as follows:

\(tan(angle) = height / distance\)

Plugging in the values, we have:

\(tan(angle) = 2 feet / 4 feet\)

Simplifying, we get:

\(tan(angle) = 0.5\)

To find the angle, we need to take the inverse tangent (arctan) of both sides of the equation:

\(angle = arctan(0.5)\)

Using a calculator, we find that the angle is approximately 26.6 degrees.

Therefore, the angle of elevation from where Jack is standing to the top of the stairs is approximately 26.6 degrees.

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Answer:

There are 25 students in the class.

Step-by-step explanation:

Let x be the number of students in the class

12% failed and the number of students is 3

x*12% = 3

x*.12 = 3

Divide each side by .12

x * .12 /.12 = 3/.12

x =25

There are 25 students in the class

Answer:

25 students.

Step-by-step explanation:

12% is 3 students.

100% is the number of students in the class.

3 times 100 divided by 12 is 25.

So there are 25 students in the class.