75 of the 90 kids were girls. What is the ratio of boys to girls

Answer:

1/ 2 and 2/4

Step-by-step explanation:

Total pieces of fruits = 4

Number of fruits that are banana = 2

Fraction of fruit that are banana :

Number of banana / total number of fruits

= 2 / 4

Or in its simplest form:

= 2/4 = 1/2

Answer: 2x2x2x2x2=10 10 diveded by 8= 1.25

Answer:

1.25

Step-by-step explanation:

There are 12 possible outcomes when considering all combinations of 4 play dates and 3 show times.

For each play date, you have 3 options for the show time.

Since the events are independent and all options are equally likely, you can multiply the number of options together to find the total number of possible outcomes.

Number of possible outcomes

= Number of play dates × Number of show times

= 4 × 3

= 12

Therefore, there are 12 possible outcomes when considering all combinations of 4 play dates and 3 show times.

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Answer:

2 radical 11

Step-by-step explanation:

hyp= short (2)

x= √11 (2)

x= 2√11

Given expression (a^(3))^(-2) as a power of the number a would be,

(a^(3))^(-2) = a^(-6)

In this question, we have been given an expression (a^(3))^(-2)

We need to represent the following expressions as a power of the number a where a ≠ 0

We know that for any non-zero real number x,

(x^m)^n = x^(m * n)

Using above rule of exponents,

(a^(3))^(-2)

= a^(3 * (-2))

= a ^(-6)

Therefore, given expression (a^(3))^(-2) as a power of the number a would be,

(a^(3))^(-2) = a^(-6)

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Answer:

in the first one, the rule is y=2x+1

the second rule is y=x/2+1

sorry iont about the 3rd one

Step-by-step explanation:

Answer:

The equation is a quadratic equation because there is an x2-term.

Step-by-step explanation:

x(x−6)=−5

Distribute

x^2 -6x = -5

The equation is a quadratic equation because there is an x^2-term.

Answer:

Your required answer is option A.

Step-by-step explanation:

Here,

The given equation is;

x(x-6)=-5

now,

while finding x.

either or,

x=-5 (x-6)=-5

x= 1 (shifting-6 in next side)

now, the value of x is -5,1.

so, it's a quadratic equation.

( in quadratic equation the variable always has two values after solution)

Hope it helps..

Answer:

Leo stop at 1339. 3 feet tall and Leo almost reach the top of the building

the standard matrix of the linear transformation T: ℝ² → ℝ², which first reflects points through the line x₂ = -x₁ and then reflects points through the origin, is:

[ -1  0 ]

[  0  1 ]

To find the standard matrix of the linear transformation T: ℝ² → ℝ², we can determine how the basis vectors of ℝ² transform under the given transformation.

The standard basis vectors of ℝ² are:

e₁ = (1, 0) (corresponding to the x-axis)

e₂ = (0, 1) (corresponding to the y-axis)

First, let's apply the reflection through the line x₂ = -x₁:

For e₁ = (1, 0), the reflection through the line x₂ = -x₁ maps it to (-1, 0).

For e₂ = (0, 1), the reflection through the line x₂ = -x₁ maps it to (0, 1).

Next, let's apply the reflection through the origin:

For (-1, 0), the reflection through the origin keeps it the same (-1, 0).

For (0, 1), the reflection through the origin keeps it the same (0, 1).

Now, we have the transformed basis vectors:

T(e₁) = (-1, 0)

T(e₂) = (0, 1)

The standard matrix of the linear transformation T is constructed by placing the transformed basis vectors as columns:

[ -1  0 ]

[  0  1 ]

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Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i

We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i

Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i

Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

i is called the imaginary number.

i = √-1

The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3i (4 - 3i) - i(2 + 1)

i is called the imaginary number.

i = √-1

Remove the parenthesis.

3i x 4 - 3i x 3i - i x 2 - i x 1

12i - 9i² - 2i - i

[ i² = -1 ]

12i + 9 - 2i - i

Add like terms

12i + 9 - 3i

9i + 9

Thus,

The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.

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The equipment with three independent exponentially distributed components has a 92.9% probability of operating for at least 200 hours without failure.

Let's assume that the lifetimes of the components are exponentially distributed with mean hours of 100 for each component. The probability of a component surviving beyond time t is given by:

P(T > t) = e^(-t/100)

The probability that a component fails within the first 200 hours is:

P(T ≤ 200) = 1 - P(T > 200) = 1 - e^(-2)

The probability that a component does not fail within the first 200 hours is:

P(T > 200) = e^(-2)

The probability that at least two components fail within the first 200 hours can be calculated using the complement rule:

P(at least two components fail in 200 hours) = 1 - P(no more than one component fails in 200 hours)

To find the probability that no more than one component fails in 200 hours, we need to consider the following cases:

1. All three components survive for at least 200 hours.

P(all three components survive for at least 200 hours) = P(T > 200)^3 = e^(-6)

2. Two components survive for at least 200 hours, and one fails within the first 200 hours.

P(two components survive for at least 200 hours and one fails within the first 200 hours) = 3 * P(T > 200)^2 * P(T ≤ 200) = 3 * e^(-4) * (1 - e^(-2))

3. One component survives for at least 200 hours, and two fail within the first 200 hours.

P(one component survives for at least 200 hours and two fail within the first 200 hours) = 3 * P(T > 200) * P(T ≤ 200)^2 = 3 * e^(-2) * (1 - e^(-2))^2

Therefore, the probability that no more than one component fails in 200 hours is:

P(no more than one component fails in 200 hours) = e^(-6) + 3 * e^(-4) * (1 - e^(-2)) + 3 * e^(-2) * (1 - e^(-2))^2

Finally, the probability that the equipment will operate for at least 200 hours without failure is:

P(equipment operates for at least 200 hours without failure) = 1 - P(at least two components fail in 200 hours)

= 1 - [e^(-6) + 3 * e^(-4) * (1 - e^(-2)) + 3 * e^(-2) * (1 - e^(-2))^2]

Simplifying, we get:

P(equipment operates for at least 200 hours without failure) ≈ 0.929

Therefore, the probability that the equipment will operate for at least 200 hours without failure is approximately 0.929 or 92.9%.

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Range and Mode of the given data set: 10, 8, 5, 3, 7, 4, 5, 9, 2, 3, 7, 3, 8, 6, 4, 1, 2, 1, 10, 3 are 9 and 4 respectively. Thus, option B is the correct answer.

Range refers to the difference between the highest and lowest values in a given set of numbers. Therefore, to calculate the range of the given data we need to subtract the lowest value from the highest value.

The lowest value in the data = 1

The highest value in the data = 10

Range = highest value - lowest value

= 10 - 1 = 9

Therefore, the range of the given data is 9.

Mode refers to the data that is repeated most frequently in the given data. Therefore, to find the mode, we have to check the data with the highest frequency.

To find the mode easily, we arrange the data in ascending order and we get 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 7, 7, 8, 8, 9, 10

The number with the highest frequency (mode) = 3

3 is repeated 4 times in the data.

Therefore, the mode of the given data comes out to be 3.

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The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

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A type of quantitative analysis in which the amount of a species in a material is determined by converting the species to a product that can be isolated completely and weighed is "gravimetric analysis."

Gravimetric analysis is a quantitative chemical analysis method in which the contribution sought is transformed into a material (of different compositions) that can be separated and weighed from the sample.

Some key features regarding the gravimetric analysis are-

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The row of the table that reveals the x-intercept of the function f is given as follows:

Second row.

A function has two intercepts, which are listed as follows:

The definition of each type of intercept is given as follows:

From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.

The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.

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To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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Answer:

B) z = w(x + y)

Step-by-step explanation:

You need to isolate variable z. This means every other variable must be on the opposite side of the equal sign. Use the various properties to solve the problem.

\(x=\frac{z}{w}-y~(Given)\\\\x+y=\frac{z}{w}-y+y~(Add~y~on~both~sides)\\\\x+y=\frac{z}{w}~(Simplify)\\\\w(x+y)=(\frac{z}{w})w~(Multiply~w~on~both~sides)\\\\w(x+y)=z~(Simplify)\)

The steps are given in option B and option C are used in paper folding.

When we simply fold the paper in such a manner that we can achieve our objectives, the method is called Paper Folding.

Now, WE get;

Option A can not be accomplished as we need the proper equipment to construct the circle.

Option B can be done by folding the paper along the point.

Option C can be done by folding the paper in the exact half measure.

Option D can not be done.

Hence, the steps are given in option B and option C are used in paper folding.

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Answer:

Step-by-step explanation:

since you moved -1 in the x-axis

+1 to reverse it

(-1,5)

and since you moved +6 in the y-axis

-6 to do the reverse

(-1,-1)

Answer:

-3,-1 maybe

Step-by-step explanation:

Therefore, the expression's 48th component is the cost per scarf.

A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or remove. An expression's structure is (Mathematical Operator, Number or Variable, Expression).

Here,

In the following expression, 483 denotes the total number of scarves, and 48 is the cost per scarf. For each scarf order, customers are charged a $4.75 delivery fee:

The 48 denotes the price per scarf, as can be seen from the supplied.

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Answer:

112

Step-by-step explanation:

the formula for area is length times width,so in this case 14×8 = the area

The first 10 Pythagorean triples are: (3, 4, 5), (5, 12, 13), (8, 15, 17), (7, 24, 25), (20, 21, 29), (12, 35, 37), (9, 40, 41), (28, 45, 53), (11, 60, 61), and (16, 63, 65).

Pythagorean triples are sets of three positive integers that satisfy the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The first 10 Pythagorean triples, listed in ascending order of their hypotenuse lengths, are (3, 4, 5), (5, 12, 13), (8, 15, 17), (7, 24, 25), (20, 21, 29), (12, 35, 37), (9, 40, 41), (28, 45, 53), (11, 60, 61), and (16, 63, 65). There are infinitely many Pythagorean triples, and they have important applications in mathematics, physics, and engineering.

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This is a simple probability problem to solve, first, we need to know how many cookies we have inside the bag. So we have 8 chocolate chip cookies + 4 peanut butter cookies + 9 sugar cookies + 6 oatmeal cookies = 27 cookies (total). Once we have the total we can see the probability to first randomly select a chocolate chip cookie is P (first chocolate chip cookie) = 8/27 (we just have 8 chances to select a chocolate chip cookie between 27 cookies).

After we select a chocolate chip cookie and eat it, now we just have 26 cookies inside the bag. So our probability to select randomly a sugar cookie is P (sugar cookie second) = 9/26 (we just have 9 chances to select a sugar cookie between 26 cookies). Now we just need to combine those two probabilities, and to do that as a sequence (probability 1 first, next probability 2) we use the product operator *. So P(chocolate chip cookie first and sugar cookie second) = P (first chocolate chip cookie) * P (sugar cookie second) = (8/27) * (9/26) = 72/702.

Finally, our final answer is P(chocolate chip cookie first and sugar cookie second) = 0.1025 (approximately).

Answer:

I am going to answer using calculus. Let me know if you instead were looking for an algebraic method. Take the definite integral from 3 to 6 of xdx. [x^2/2]3 to 6= 18-(9/2)= (36-9)/2= 27/2. The area is 27/2

Using the concept of proportion, Gianna will have enough yards to make 18 bows

To solve this problem, we need to apply the concept of proportions.

In order to make 1 bow, she needs 1/5 yard of ribbon

Representing this in an equation form will be;

1 bow = 1/5 yard

18 bow = x yard

cross multiply both sides and solve for x

x * 1 = 18 * (1/5)

x = 3.6 yards

From the above, there will be enough yards to make 18 bows.

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