please answer! Marbles in a bag are black, green, and purple. The ratio of black to green to purple is 2:5:8. What is the probability of getting a green?

After 3 semesters Darnell and Emma have same number of credits as 40.

Given,

Current credit score of Darnell = 22

Current credit score of Emma = 4

Darnell plans to score a credit per semester = 6

Emma plans to score a credit per semester = 12

Now, we have to find that after how many semesters will Darnell and Emma have the same number of credits .

Here,

Current credit score of Darnell = 22

Current credit score of Emma  = 4

Credit score of Darnell = 22 + 6 = 28

Credit score of Emma = 4 + 12 = 16

Credit score of Darnell = 28 + 6 = 34

Credit score of Emma = 16 + 12 = 28

Credit score of Darnell = 34 + 6 = 40

Credit score of Emma = 28 + 12 = 40

That is,

After 3 semesters Darnell and Emma have same number of credits as 40

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Answer:

volume of this sphere is 500 cm³

Step-by-step explanation:

\(V=\frac{4}{3} \pi r^{3}\)

here 3 for π

\(V=\frac{4}{3}* 3* 5^{3}\)

\(V = 500 cm^{3}\)

It would be reasonable to generalize from this sample to the population of all seniors at this university when the sample is representative and sufficiently large.

Generalizing from a sample to a larger population is a common practice in statistics and research. However, it is essential to ensure that the sample is representative of the population and that it is of an adequate size.

A representative sample accurately reflects the characteristics and diversity of the population it is drawn from. In the context of seniors at a university, a representative sample would include seniors from various majors, backgrounds, genders, and other relevant factors that are present in the population. This ensures that the sample represents the population as a whole.

Additionally, the size of the sample is crucial. A larger sample size generally provides more reliable and accurate results. It helps reduce sampling error and increases the statistical power of the analysis. The sample size should be sufficient to capture the variability and characteristics of the population without being too small, which may lead to biased or unreliable conclusions.

Therefore, it would be reasonable to generalize from this sample to the population of all seniors at this university if the sample is representative of the population and if the sample size is sufficiently large. This allows for meaningful insights and conclusions to be drawn about the entire population based on the characteristics and data observed in the sample.

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Correct option about "How would the correlation most likely be affected?" is C. Become weaker negative

If the price of meat ($3.00 per pound) is removed, the correlation between price per pound and grams of fat is likely to become weaker negative.

This is because the price per pound is a factor that influences the amount of fat in meat - typically, cheaper cuts of meat have more fat. Therefore, when this factor is removed, the relationship between price and fat grams may not be as strong.

When meat with $3.00 per pound is removed from the dataset, the correlation will most likely:

C. Become weaker negative

This is because removing data points can affect the overall trend observed in the scatterplot. When a data point with a strong influence on the negative correlation is removed, the remaining data points may show a weaker negative correlation.

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Answer:

Step-by-step explanation:

y - 5 = 2(x - 0)

y - 5 = 2x -0

y = 2x + 5

answer is D

Answer:

13 units

Step-by-step explanation:

To find the distance between the two points, use the distance formula.

\(\sqrt{(x-x)^{2}+(y-y)^{2} }\)

Plug in the point values.

\(\sqrt{(-8--3)^{2}+(-6-6)^{2} }\)

Simplify the parenthesis.

\(\sqrt{(5)^2+(-12)^2}\)

Get rid of the parenthesis.

\(\sqrt{25+144}\)

Simplify.

\(\sqrt{169}\)

Solve.

13 units

The equation AB=BC for \(A=BCB^{-1}\).

The solution of AB = BC  for A, assuming that A,B and C are square matrices and B is invertible is

We have to solve the equation

AB = BC given that these all are square matrices and B is invertible.

Write the required Equation:

Multiply both sides by inverse of B

The multiplicative inverse of a matrix is the matrix that gives you the identity matrix when multiplied by the original matrix.

⇒\(ABB^{-1} =BCB^{-1}\)

⇒\(AI=BCB^{-1}\)

⇒\(A=BCB^{-1}\)

Therefore, the solution of AB = BC is \(A=BCB^{-1}\).

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Answer:

(x , y - 6)

Step-by-step explanation:

The y-axis deals with up and down motions. To shift a point downwards six units, subtract 6 from the value do the y-coordinate.

Answer:  \(\sqrt{2}/2\) which is Choice B

This is the same as writing \(\frac{\sqrt{2}}{2}\)

The second "2" is not under or inside the square root.

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

Explanation:

Refer to the unit circle below. I've highlighted the angle 45 degrees and its corresponding sine value. It's the y coordinate of the point on the unit circle, for this particular angle.

Therefore, \(\sin(45^{\circ}) = \frac{\sqrt{2}}{2}\)

--------------

You could alternatively draw out a 45-45-90 triangle. Let x be the leg length and the hypotenuse is 1 unit long. Solve \(x^2+x^2 = 1\) for x and you should get \(x = \frac{\sqrt{2}}{2}\) as the length of each leg.

Then take the ratio of the opposite over hypotenuse to find the same answer mentioned above.

Answer:1.8

Step by step explanation:

The height is 2,236.66 feet.

An estimate of the line that depicts the actual, but unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.

Given:

The model obtained using a regression solver with Coefficient

ŷ = 219.28876X + 109.56303

height = y

x = time

Using the model obtained;

The height, to the nearest foot, at a time, x = 9.7seconds.

ŷ = 219.28876X + 109.56303

ŷ = 219.28876(9.7) + 109.56303

ŷ = 2,236.66

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Answer:

Your friend made a mistake when multiplying the coefficients of each term and when adding the exponents of each term.

Correct answer: \(\left(12a\right)^{7/10}\)

Step-by-step explanation:

We can use the exponent property \(a^b\cdot a^c=a^{(b+c)}\) to solve this problem.

Substituting given values, we get:

\(4a^{(\frac{1}{2})}\cdot 3a^{(\frac{1}{5})}=12a^{(\frac{1}{2}+\frac{1}{5})}=12a^{(\frac{5}{10}+\frac{2}{10})}=\boxed{12a^{(\frac{7}{10})}}\)

Answer:

Your friend made the mistake of adding the coefficents and multiplying the exponents (instead of mulitplying the coefficents and adding the exponents)

The correct answer is: \(12a^{\frac{7}{10}}\)

Step-by-step explanation:

When mulitiplying exponentials with the same base you mulitply their coefficents and add their exponents.

Your friend made the mistake of adding the coefficents and multiplying the exponents

Answer:

No, is not a right triangle

Step-by-step explanation:

If it is a right triangle Pythagoras theorem do apply.

Since the hypotenuse is the side with 16in, sides are 7 and 14 inches

notice

\(\sqrt{7^{2} +16^{2} } = \sqrt{245} \neq 16\)

Answer

the money is 12.75.

38.25 ÷ 4.5 = 8.5

8.5 · 1.5 = 12.75

Step-by-step explanation:

Answer:

The answer is 5 seconds

Step-by-step explanation:

gotten it right on my quiz

( next time please try and put the options as well)

The cost for using 24 HCF water is 47.98(in dollars) by using a linear function.

The term linear function in mathematics refers to two distinct but related concepts.

A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. The term affine function is frequently used to distinguish such a linear function from the other concept.

A linear function is a linear map in linear algebra, mathematical analysis, and functional analysis.

The monthly cost of water use is a linear function: y=mx +b, where x represents HCF and y represents the cost of using. For example, if the cost of using x=17 HCF of water is $y=36.43, this means

that is a point (17,36.43)

the cost for using x=28 HCF is $y=54.58, means

that is a point (28, 54.58)

By using the above points we find slope m,

m=((54.58-36.43)/28-17)

m=1.65

=>y=1.65x+b

Now, we have to find the b point by using above point,

36.43=1.65*17+b

36.43=28.05+b

34.63-28.05=b

b=8.38

y=1.65x+8.38

When x=24,

y=1.65(24)+8.38

y=47.98

The cost for using 24 HCF of water is 47.98

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In this game, Annie and her friends roll two number cubes at the same time. The outcome of each roll is the sum of the two number cubes. Extra points are scored for rolling doubles, which means rolling the same number on both number cubes.


1. Annie and her friends each take turns rolling two number cubes simultaneously.
2. Each number cube has six sides, numbered from 1 to 6.
3. After rolling, Annie and her friends add up the numbers shown on the two cubes to determine the outcome of the roll.
4. If the two cubes show different numbers, the sum of those numbers is the outcome for that roll.
5. If the two cubes show the same number, it is considered rolling doubles, and extra points are scored.
6. The amount of extra points scored for rolling doubles may vary depending on the rules of the game.

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Answer:

1

Step-by-step explanation:

|13 + 5| – |7 – 10| =1

Answer:

I18I-I-3I

18-3

15

Step-by-step explanation:

Answer:

16 m

Step-by-step explanation:

V = \(s^{3}\)

4096 = \(s^{3}\)

cube root of 4096 = 16

The length of the line segment AC is 25.5 cm.

A line segment in geometry is a section of a line that has two clearly defined ends as its boundaries. It may be compared to a straight line that has two points where it begins and ends. Letters or points on the line, such as A and B, are frequently used to represent the two ends of a line segment. In contrast to a line, which extends forever in both directions, a line segment has a limited length. A ruler or other measuring device can be used to determine the length of a line segment.

To find the length of segment AC, we can use the fact that the sum of the lengths of two segments on a line is equal to the length of the entire line. That is:

AB + BC = AC

Substituting the given values, we get:

12 cm + 13.5 cm = AC

Simplifying:

AC = 25.5 cm

Therefore, the length of segment AC is 25.5 cm.

There is only one possible answer for the length of segment AC since it is uniquely determined by the lengths of segments AB and BC.

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To set up an integral for the area of the resulting surface when the given curve is rotated about the x-axis, we can use the disk or washer method. The disk or washer method allows us to calculate the volume of a 3-dimensional figure by integrating a 2-dimensional figure around a central axis.

For part (a), we integrate with respect to x from 1 to e:

A = ∫1e 2πx(x2 - ey) dx

For part (b), we integrate with respect to y from 0 to 2:

A = ∫02 2π(x2 - ey) dy

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(a) The given quadratic function is f(x1,x2) = 2x1^2 + x2^2 −2x1x2 + 2x1 − 2x2.

To find the global minimum (z) of f, we need to find the critical points of the function.

We can calculate the partial derivatives of f with respect to x1 and x2 as follows:

f1(x1,x2) = ∂f/∂x1 = 4x1 - 2x2 + 2f2(x1,x2) = ∂f/∂x2 = 2x2 - 2x1 - 2

Setting these partial derivatives to zero, we get4x1 - 2x2 + 2 = 0           (1)

2x2 - 2x1 - 2 = 0             (2))

Solving equations (1) and (2), we getx1 = 1 and x2 = 1

Substituting x1 = 1 and x2 = 1 in the given quadratic function, we get f(1,1) = -1

Therefore, the global minimum of f is z = -1 and its optimal value is f(x) = 2x1^2 + x2^2 −2x1x2 + 2x1 − 2x2.

(b) Suppose that we apply the steepest descent algorithm to f with setting α = minα f(x+αd)-f(x). If we start with ro- (0,0), then ind x1 and x2.

Initial point: r0 = (0, 0)

The gradient of f at point r0 is given by

∇f(r0) = (f1(r0), f2(r0))= (4r1 - 2r2 + 2, 2r2 - 2r1 - 2)

We need to find the direction d in which f decreases fastest. For this, we need to take the negative of the gradient, i.e., d = -∇f(r0) = (-4r1 + 2r2 - 2, -2r2 + 2r1 + 2)

We need to find the optimal value of α that minimizes f(x+αd)-f(x)

We haveα = minα f(r0+αd)-f(r0)= minα [2(r1 + αd1)^2 + (r2 + αd2)^2 - 2(r1 + αd1)(r2 + αd2) + 2(r1 + αd1) - 2(r2 + αd2)] - [2r1^2 + r2^2 - 2r1r2 + 2r1 - 2r2]= minα [2(4α^2 - 4α + 1) + 4α^2 - 4α + 1 - 4α^2 + 4α + 2α + 2] - [2(0)^2 + 0^2 - 2(0)(0) + 2(0) - 2(0)]= minα [4α^2 + 2α + 4] - 2= minα [4α^2 + 2α + 2]

Thus,α = -b/2a = -2/8 = -1/4

Substituting α = -1/4 in d, we get d = (-1/2, -1)Therefore,x1 = r1 + αd1 = 0 + (-1/2) = -1/2x2 = r2 + αd2 = 0 + (-1) = -1

Thus, (x1, x2) = (-1/2, -1)

(c) The optimality gap is given by f(x)-fa) = f(-1/2, -1) - f(1, 1)= 2(-1/2)^2 + (-1)^2 −2(-1/2)(-1) + 2(-1/2) − 2(-1) - [2(1)^2 + (1)^2 −2(1)(1) + 2(1) − 2(1)]= 5/2 - 3 = 1/2

For any nonnegative integer n, the explicit form of optimality gap f(x)-fa) is given by(1/2)2^(-n)

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Answer:

The answer to 2+3(4.3 x 00.009) is 2.1161.

Step-by-step explanation:

Hope this helps!

Answer:

2.1161

Step-by-step explanation:

Answer:

d) 12x + 24

Step-by-step explanation:

If g is a vertical translation of f, the number of  units and in the direction f translated to form g is,  7 units and downward  direction

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

Two functions,

f(x) = x + 4

g(x) = x – 3

the difference in values of function f(x) & g(x)

f(x) -  g(x) =  x + 4 - ( x – 3 )

                =  x + 4 - x +3

                =    7

So, if we subtract 7 from the function f(x)

⇒    f(x) - 7

⇒    x + 4 - 7

⇒    x  - 3

So, vertical translation required is  value 7 and in downward direction

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Answer:

Step-by-step explanation:

Answer:

6

y2-2y+6

since y= 2

22-22+6

=6

Step-by-step explanation:

what did your teacher want to achieve by the 2 questions that have the same answer ? or is sea level different from the surface of that body of water ? that information would be missing.

the driver descends 15.2 ft per second =

= 15.2/1 ft/s = 15.2 ft/s

after 4.1 seconds the diver descends 15.2 × 4.1 = 62.32 ft.

so, the diver is at that time 62.32 ft under the surface of that body of water.

if sea level is different to the surface of that body of water, then that difference has to be added (when sea level is higher that the water surface) or subtracted (when sea level is below the water surface) to get the the position below or above sea level.

Answer:

Sunglower I really want to help, but personally I do not know the answer, but if this answer is going percentage wise, the answer would be 1.6004