Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!

Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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Answer:

The correct answer of this question is 2

Answer: 2 people

Step-by-step explanation:

Since 25 both do english and B.M, subtract 25 from any one of them

53 - 25 = 28

Now, add 28 it to the one that we didn't subtract, 50

28 + 50 = 78

Now, subtract the total, 80 from 78

80 - 78 = 2

∴ 2 people haven't done any tuition

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

Liam's work is correct

Step-by-step explanation:

25 is a percent so should always write in fraction form

25/100

then you find what number multiply by 25 gives 150

which is 6, so you do the same on the bottom

which is 600

or 150 ÷ 25/100 which also gives 600

so 600 is the number

Answer:

Yes, because 9 is in the hundreths place and 3 is in the tenths

Step-by-step explanation:

Answer:

Step-by-step explanation:

no because 0.3 is the same as 3/10 and 0.9 is the same as 9/10 wich is greater

After 60 minutes  both buckets dump water at the same time again.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Given:

One bucket dumps water every 12 minutes. , while the other bucket dumps water every 10 minutes.

So, to find the When will both buckets dump water at the same time again we have to find the LCM

10 = 1 × 2 × 5

12 = 1 × 2 × 2 × 3

LCM = 1 × 2 × 2 × 3 × 5 = 60

Hence, After 60 minutes both buckets dump water at the same time again.

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If we wish to describe the time between hits using an exponential distribution, we would use λ = 20 as the rate factor.

The exponential distribution is often used to model the time between events that occur at a constant average rate, such as the hits on a website. The rate parameter (often denoted as λ) is a measure of the average number of events per unit time.

In this case, we are given that the website receives an average of 20 hits every hour. This means that the rate of hits per hour is λ = 20. We can think of this as the average number of hits occurring per unit time, which is one hour in this case.

To use the exponential distribution to describe the time between hits, we can use the formula for the probability density function (PDF) of an exponential distribution:

f(x) = λe^(-λx)

where x is the time between hits. In this case, we would use λ = 20 as the rate factor.

The exponential distribution can be used to estimate the probability of various events related to the timing of hits on the website, such as the probability of waiting a certain amount of time between hits, or the probability of getting more than a certain number of hits in a certain time period.

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Every neighborhood of A contains a point of B and every neighborhood of B contains a point of A, which implies that A=B.

To show that there exists a sequence of rational numbers converging to any real number x, we can use the fact that the rational numbers are dense in the real numbers. This means that between any two real numbers, there exists a rational number.

So, let x be any real number. We can construct a sequence of rational numbers {q_n} such that q_n is the rational number between x-1/n and x+1/n. In other words,

q_n = a/b, where a and b are integers such that x-1/n < a/b < x+1/n and b > n

Then, it can be shown that as n approaches infinity, q_n converges to x. Therefore, there exists a sequence of rational numbers converging to any real number x.

To prove that A=B, we need to show that every neighborhood of A contains a point of B and every neighborhood of B contains a point of A.

First, let's consider any neighborhood of A. Since {a_n} converges to A, we know that there exists some positive integer N such that for all n > N, |a_n - A| < ε/2, where ε is the radius of the neighborhood.

Now, since B is an accumulation point of {a_n : n ∈ J}, we know that there exists some integer j ∈ J such that |a_j - B| < ε/2.

Thus, we have:

|A - B| ≤ |A - a_j| + |a_j - B| < ε/2 + ε/2 = ε

This shows that B is also in the neighborhood of A.

Next, let's consider any neighborhood of B. Since B is an accumulation point of {a_n : n ∈ J}, we know that there exists some positive integer M such that there are infinitely many n ∈ J satisfying |a_n - B| < ε/2.

Now, let n_1, n_2, n_3, ... be a subsequence of {a_n} such that |a_ni - B| < ε/2 for all i ≥ 1.

Since {a_n} converges to A, we know that there exists some positive integer N such that for all n > N, |a_n - A| < ε/2.

Let N' be the maximum of N and n_1, so that for all n > N', we have:

|a_n - A| < ε/2 and |a_n - B| < ε/2

Then, we have:

|A - B| ≤ |A - a_n| + |a_n - B| < ε/2 + ε/2 = ε

This shows that A is also in the neighborhood of B.

Therefore, we have shown that every neighborhood of A contains a point of B and every neighborhood of B contains a point of A, which implies that A=B.

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The perimeter of triangle ABC is 3 cm.

Given:- AB is congruent to segment AC  

AB= AC= 1/2x + 1/4

BC= 5/2-x

Perimeter of a triangle = Sum of all sides

                                      = (1/2x + 1/4) + (1/2x + 1/4) + (5/2-x)

                                      = 1/2x +1/2x -x +1/4+1/4+5/2

                                      = 3 cm

Therefore, the perimeter of triangle ABC is 3 cm.

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Clark spends $ 12775 on these items which he does not need in a year (if we consider 365 days) where the average spend in a month is $35.

Clark finds that in an average month, he spends $35 on things he really doesn't need and can't afford.

Let us consider the month in consideration here to be of 30- days and ignore any months other number of days.

Thus, calculating the average, say x' , by formula, we get,

x' = (Summation of values of all observations ) / ( Number of observations)

⇒ 35 = Total spend / 30

⇒ Total spend = $ ( 35*30)

⇒ Total spend = $ 1050

Therefore, total spend on a year, that is 12 months (considering all months to be of 30- days ) = $( 1050*12) = $ 12600

But we know a year does not have 360 days. So we calculate the total spend on these 5 days where average month spend is $35 is $175.

Hence the total spend for a year with 365 days is = $( 12600 + 175 ) = $12775

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Answer:

2 1/9

Step-by-step explanation:

Check out the image below!

Answer:

7,680

Step-by-step explanation:

6 x 4 x 4 x 4 x 5 x 12 = 23040

23040/3 = 7,680

The interest will he earn in 2 years is $6.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given:

Chandler has $30 in an account that earns 10% interest compounded annually.

We have to find the interest will he earn in 2 years.

Using the formula,   B = p(1 + r)^t

where,

where B is the balance (final amount),

p is the principal (starting amount),

r is the interest rate expressed as a decimal,

t is the time in years.

For the given problem,

p = $30, r = 10% = 0.10,  t = 2

Plug the values in the above formula,

B = 30(1 + 0.10)^2

B = 30(1.1)^2

B = 36.3

Now to find the interest will he earn in 2 years.

Interest = p x r x t

             = 30 x 0.10 x 2

Interest = 6

Hence, the interest will he earn in 2 years is $6.

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Answer:

Constant is Purple

Variable is Grey

Expression is Blue

Coefficient is Red

Term is Green

Equation is Black

Step-by-step explanation:

It is a funny problem

Let us revise the meaning of the given names

Ex:

3 x² + 5x + 7 = 2a - 5 are called equation

[3x² + 5x + 7] and [2a - 5] are called expressions (algebric expression)

[3x²], [5x], [2a] are called terms

[x], [m] are called variables

[7], [-5] are called constants

[3], [5], [2] are called coefficients

Let us answer the question

52x² - 9x + 36 is an expression ⇒ Blue

9x is a term ⇒ Green

7 is a coefficient ⇒ Red

82 is a constant ⇒ Purple

m is a variable ⇒ Grey

52x² - 9x + 36 = 7m + 82 is an equation ⇒ Black

Answer:

x = -2

Step-by-step explanation:

-11x + 14 = 36

-11x = 36 - 14

-11x = 22

x = 22/-11

x = -2

Answer:

-2

Step-by-step explanation:

1. Subtract 14 from both sides.

2. Simplify 36−14 to 22.

3. Divide both sides by -11.

4. Simplify 22/11 to 2.

The central angle (in radians ) is 0.8 radians.
What is a cricle ?

A circle is a basic 2D shape measured by its radius. A circle divides the plane into two areas: interior and exterior. Similar to line type. Imagine a line segment bending until the ends connect. Arrange the loops so that they form a perfect circle.

we know that,

arc length = radius *  central angle (in radians)

and central angle (in radians) = arc length / radius

by substituting the given values

arc length = 7.2

radius=9

we get,

central angle (in radians) = 7.2 / 9

=0.8 radians

Hence , the central angle = 0.8 radians

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Any variable that can be placed into either of two discrete and mutually exclusive categories is called dichotomous.

A dichotomous variable is one in which, as a result of said variability, there are only two possible outcomes. That is, there is a dichotomy or mutual exclusion between both results of the variable, in such a way that the presence of one result makes the presence of the other null.

An example of dichotomous variables is one in which a certain situation exists or not, that is, where the result varies between 0 and a positive integer.

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Answer: The water fountain shoots water from a height of 6 ft.

Step-by-step explanation: When looking at a Quadratic Function on a graph it looks like a U (this one would be a upside down U).  The top of that U is the Vertex. (keep in mind the question revolves around the X-Intersect)

A water droplet reaches its maximum height after 6 s IS WRONG

Talking about the VERTEX

It takes 6 s for a water droplet to rise and fall back to the ground IS WRONG

This is talking about the WHOLE Parabola

A water droplet reaches a maximum height of 6 ft. IS WRONG

This is also talking about the VERTEX

Answer:

Since each question has 3 choices and only one is correct, the probability of answering a single question correctly is 1/3.

To find the probability of answering all 10 questions correctly, we need to multiply the probabilities of each individual question together, since the events are independent.

Therefore, the probability of acing the test is:

(1/3)^10 = 0.000005904

Or approximately 0.0006%, which is a very small probability.

Step-by-step explanation:

Producing rDNA involves isolating and cleaving DNA, inserting fragments into a vector, and transforming host cells. rDNA can be introduced via transformation, transfection, or viral vectors. Clinical applications include protein production, gene therapy, vaccines, and diagnostics.

Producing a recombinant DNA (rDNA) vector involves several general steps. Here are the three main steps involved in the process:

Isolation and Cleavage of DNA:

The first step is to isolate the desired DNA fragments from the source organism. This can be done using various techniques such as PCR (Polymerase Chain Reaction) or restriction enzyme digestion. Restriction enzymes are enzymes that cut DNA at specific recognition sites. By using the appropriate restriction enzymes, the desired DNA fragment and a vector DNA can be cut at specific sites. The vector is usually a plasmid, which is a small circular DNA molecule.

Insertion of DNA Fragments into the Vector:

Once the DNA fragments and vector have been cut, they are mixed together and joined through a process called ligation. DNA ligase is used to catalyze the formation of covalent bonds between the ends of the DNA fragments and the vector. This creates a recombinant DNA molecule containing the desired DNA fragment within the vector. The recombinant DNA molecule is then introduced into host cells for replication.

Transformation of Host Cells:

The recombinant DNA molecules need to be introduced into host cells to produce multiple copies of the recombinant DNA. This is typically done using a process called transformation. Host cells, such as bacteria or yeast, are treated in a way that makes them more receptive to taking up the recombinant DNA. Methods for transformation include heat shock, electroporation, or using chemical agents. Once the host cells have taken up the recombinant DNA, they can be grown in culture to produce large quantities of the desired DNA fragment.

Introduction of rDNA into Cells:

Recombinant DNA can be introduced into cells using various methods, depending on the type of cells being targeted. Some common techniques include:

Transformation: As mentioned earlier, host cells, such as bacteria or yeast, can be treated to make them receptive to taking up the recombinant DNA. This can be achieved by exposing the cells to heat shock, electroporation, or using chemical agents.

Transfection: This method is used for introducing rDNA into eukaryotic cells, including animal cells. It involves the use of techniques such as calcium phosphate precipitation, liposome-mediated transfection, or electroporation.

Viral Vectors: Certain viruses, such as retroviruses, adenoviruses, or lentiviruses, can be modified to carry the recombinant DNA. These viral vectors can then infect target cells and deliver the rDNA into the host genome.

Clinical Applications of rDNA:

Recombinant DNA technology has revolutionized biomedical research and has led to numerous clinical applications. Some important applications include:

Production of Therapeutic Proteins: rDNA technology allows for the production of large quantities of therapeutic proteins, such as insulin, growth factors, clotting factors, and monoclonal antibodies. These proteins can be used to treat various diseases, including diabetes, cancer, and genetic disorders.

Gene Therapy: rDNA vectors can be used to deliver functional copies of genes into target cells to correct genetic defects. This holds promise for the treatment of inherited diseases caused by single gene mutations, such as cystic fibrosis and muscular dystrophy.

Vaccine Development: Recombinant DNA technology has been instrumental in the development of vaccines. By expressing specific antigens from pathogens, recombinant vaccines can be created to stimulate an immune response without causing disease.

Diagnostic Tools: Recombinant DNA techniques are used to produce specific DNA or RNA probes for diagnostic purposes. These probes can detect the presence of specific genes or mutations associated with diseases, aiding in early detection and personalized medicine.

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Answer:

Step-by-step explanation:

1. Marginal utilities:
To find the marginal utility of x (MUx), we take the partial derivative of the utility function with respect to x. In this case, MUx = (2/3)X^(-1/3)Y^(4/5).
To find the marginal utility of y (MUy), we take the partial derivative of the utility function with respect to y. In this case, MUy = (4/5)X^(2/3)Y^(-1/5).

2. Marginal rate of substitution (MRSxy):
The MRSxy represents the rate at which a consumer is willing to trade one good (x) for another good (y) while maintaining the same level of satisfaction. Mathematically, MRSxy is equal to the ratio of the marginal utilities: MRSxy = MUx/MUy.
Substituting the expressions for MUx and MUy derived earlier, we have MRSxy = [(2/3)X^(-1/3)Y^(4/5)] / [(4/5)X^(2/3)Y^(-1/5)].
Simplifying the expression, we get MRSxy = (5/6) * [(X/Y)^(1/3) * (Y/X)^(1/5)].
Thus, the expression for the marginal rate of substitution (MRSxy) is (5/6) * [(X/Y)^(1/3) * (Y/X)^(1/5)].

3. Indifference curves for perfect substitutes:
When two goods are perfect substitutes, it means that the consumer is equally satisfied with any combination of the two goods, as long as the ratio between them remains constant. In this case, the indifference curves would be straight lines with a constant slope.
For example, if the two goods are apples and oranges, and the consumer is equally satisfied with any combination of these two goods, the indifference curves would be straight lines with a constant slope of -1. This means that the consumer is willing to give up one apple for one orange and vice versa, without any change in satisfaction.

4. Indifference curves for complements:
When two goods are complements, it means that the consumer's satisfaction is maximized when the goods are consumed together in fixed proportions. In this case, the indifference curves would be L-shaped or right angles.
For example, if the two goods are coffee and sugar, and the consumer's satisfaction is maximized when the coffee and sugar are consumed together in a fixed proportion, the indifference curves would be L-shaped. This means that the consumer does not derive any satisfaction from consuming only coffee or only sugar, but rather from consuming them together in the right proportion.

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Answer:

y = -3x + 2

extra characters down here

Given the functions:

Solve the equations means finding the values of x provided that f(x) = g(x)

so,

Make the square root alone on the right-side

Square both sides to eliminate the square root:

Simplifying the equation:

Solve the last equation to find the values of x

We can use the calculator to find the values of x

So,

Rounding to the nearest tenth

So, the answer will be x = {-1.7, 4.1 }

Answer:

i am just standing here

Step-by-step explanation:

The parabola has its vertex at (h, k), and the focus is located at (h + p, k). The directrix line is represented by the equation x = h - p.

The equation of a parabola with a given focus and directrix can be derived using the geometric definition of a parabola. Let's consider a parabola with a focus F and a directrix line d. The parabola is defined as the set of all points P such that the distance from P to the focus F is equal to the perpendicular distance from P to the directrix line d. The equation of the parabola can be expressed in terms of either x or y, depending on the orientation of the parabola.

To derive the equation, we can assume that the focus F is located at (h, k + p), where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus. Let's also assume that the directrix line is given by the equation y = k - p.

If we consider a generic point P(x, y) on the parabola, we can calculate the distance between P and the focus F using the distance formula:

√((x - h)² + (y - (k + p))²)

Similarly, we can calculate the perpendicular distance from P to the directrix line d, which is simply the difference in y-coordinates:

|y - (k - p)|

According to the definition of a parabola, these distances should be equal. Therefore, we can set up the equation:

√((x - h)² + (y - (k + p))^2) = |y - (k - p)

To simplify this equation, we square both sides to eliminate the square root:

(x - h)² + (y - (k + p))² = (y - (k - p))²

Expanding and simplifying, we get:

(x - h)² + (y - k - p)² = (y - k + p)²

Further simplifying, we obtain:

(x - h)² = 4p(y - k)

This is the equation of a parabola with its vertex at (h, k) and the focus at (h, k + p). The directrix line is given by the equation y = k - p.

Therefore, the equation of the parabola in x-equals form is:

(x - h)² = 4p(y - k)

Alternatively, if you prefer the y-equals form, you can rearrange the equation as follows:

y = (1/(4p))(x - h)² + k

In this form, the parabola has its vertex at (h, k), and the focus is located at (h + p, k). The directrix line is represented by the equation x = h - p.

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Answer:

10.7

Step-by-step explanation:

use

a^2+b^2=c^2

...........

Answer:

x ≈ 10.72

Step-by-step explanation:

Use the Pythagorean Theorem, or

a² + b² = c²

to find x.

a² + b² = c²

9² + x² = 14²

81 + x² = 196

Subtract 81 from both sides.

x² = 115

Take the square root.

x = √115

When rounded to the nearest hundredth as a decimal, the answer is

x = 10.72.

Answer:

The scale factor 7/2 would enlarge it because it is getting 3 1/2 time larger than the oringanl size

Step-by-step explanation:

No, it is not possible for the two tangents to intersect each other outside the circle.

We have,

The concept used in this explanation is that a tangent to a circle is perpendicular to the radius at the point of tangency.

This is a fundamental property of circles and tangents, based on geometry and the definition of a tangent line.

No, it is not possible for the two tangents to intersect each other outside the circle.

This is because tangents to a circle are perpendicular to the radius at the point of tangency. If the tangents intersect with ed each other outside the circle, it would imply that they are not perpendicular to the radius, which contradicts the definition of a tangent.

Thus,

No, it is not possible for the two tangents to intersect each other outside the circle.

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Yes, it is possible for the two tangents to intersect each other outside the circle only when the tangents are perpendicular to the diameter. They will intersect at the point directly opposite to the center of the circle. This concept combines the properties of tangents and circles that are normally covered in high school geometry.

In the context Mathematics and Geometry, the situation you have described where two tangents to a circle meet at opposite ends of a diameter is indeed possible, but only in one specific scenario: when the tangents are perpendicular to the diameter and they intersect each other at the point directly opposite to the center of the circle. This is because, by geometry, a tangent to a circle is perpendicular to the radius at the point of tangency. Thus, if the tangents are drawn at the endpoints of a diameter, they will be parallel and will not intersect each other outside the circle.

In contrast, if the tangents are drawn such that they are perpendicular to the diameter, they will intersect at a point that is a distance from the center of the circle equivalent to the length of the radius, and directly opposite the center of the circle. This point of intersection of the tangents is outside the circle.

The properties of tangents and circles, which we use in the explanation, are part of the standard curriculum in high school geometry.

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The function \(\(f: \mathbb{Z} \times \mathbb{Z} \to \mathbb{Z}\)\) given by \(\(f(x,y) = |x||y|\)\) is not onto.To determine if a function is onto, we need to check if every element in the codomain has a preimage in the domain.

In this case, the codomain is \(\(\mathbb{Z}\)\), the set of integers. Let's consider an arbitrary integer z in \(\(\mathbb{Z}\)\). To find a preimage for z, we need to solve the equation \(\(f(x,y) = |x||y| = z\)\).

Now, let's consider two cases:

1. If z is positive or zero \((\(z \geq 0\))\), we can choose \(\(x = |z|\)\) and \(\(y = 1\)\). This gives us \(\(f(x,y) = |x||y| = |z||1| = |z| = z\)\), satisfying the equation.

2. If z is negative z < 0, we cannot find x and y such that f(x,y) = z. This is because the absolute value of a number is always non-negative, so it is not possible to obtain a negative value for f(x,y) using the function \(\(f(x,y) = |x||y|\)\).

Therefore, for any negative integer \(\(z\) in \(\mathbb{Z}\)\), there is no preimage in the domain. Hence, the function is not onto.

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