a bag contains 8 blue chips, 7green chips and 2 white chips. if two chips are drawn without replacement, what is the probability of drawing a blue chip and a green chip​

An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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Answer:

A sample size of 128 is needed.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1-0.93}{2} = 0.035\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).

So it is z with a pvalue of \(1-0.035 = 0.965\), so \(z = 1.81\)

Now, find the margin of error M as such

\(M = z*\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population(square root of the variance) and n is the size of the sample.

How large should a sample be if the margin of error is 1 minute for a 93% confidence interval

We need a sample size of n, which is found when \(M = 1\). We have that \(\sigma = \sqrt{39}\). So

\(M = z*\frac{\sigma}{\sqrt{n}}\)

\(1 = 1.81*\frac{\sqrt{39}}{\sqrt{n}}\)

\(\sqrt{n} = 1.81\sqrt{39}\)

\((\sqrt{n})^2 = (1.81\sqrt{39})^2\)

\(n = 127.8\)

Rounding up

A sample size of 128 is needed.

Answer:

I swear If I was him I would have done at least 4 by 2

an hour

Step-by-step explanation:

but according to him 2 by 4

Answer:

5945

Step-by-step explanation:

The sum for an arithmetic series is given by the formula:

\(S=(x_1+x_k)\cdot\frac{k}{2}\)

Where x₁ is the initial term, x_k is the last term, and k is the number of elements in the series.

From the sequence, we can see that the first term is 32. The last term is 113.

To determine how many elements we have, subtract 113 and 32:

\(113-32=81\)

However, we must add 1 to this number since this doesn't include the first term. Thus:

\(81+1=82\)

So, there are 82 terms in total.

Therefore, our sum is:

\(S=(32+113)\cdot\frac{82}{2}\)

\(S=(145)\cdot 41=5945\)

Answer:

5945

Step-by-step explanation:

an = a1 + ( n - 1) 1

a1 = first term

n = number of terms

an = last term

113 = 32 + ( n - 1 ) 1

113 = 32 + n -1

113 = 31 + n

n = 113 - 31

n = 82.

Sn = n/2(a1 + an)

S82 = 82/2 (32 + 113)

S82 = 41 (145)

S82 = 5945.

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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Answer:

B

Step-by-step explanation:

Sjdxdbnjenide because x029w09

Answer:

A.  (x - 80)² = -320(y = 20)

B.  Focus:  (80, -60)

     Directrix:  y = 100

     Axis of symmetry:  x = 80

Step-by-step explanation:

If the spider's movement is modeled by a parabola, and its maximum height is 20 mm halfway across a horizontal distance of 160 mm, then:

Standard form of a parabola with a vertical axis of symmetry:

\(\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}\)

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

Substitute one of the x-intercepts and the vertex into the formula and solve for p:

\(\implies (0-80)^2=4p(0-20)\)

\(\implies (-80)^2=4p(-20)\)

\(\implies 6400=-80p\)

\(\implies p=-80\)

Substitute the found value of p and the vertex into the formula to create the equation of the parabola in standard form:

\(\implies (x-80)^2=4(-80)(y-20)\)

\(\implies (x-80)^2=-320(y-20)\)

Given:

\(\begin{aligned}\textsf{Focus}&=(h,k+p)\\&=(80,20-80)\\&=(80,-60)\end{aligned}\)

\(\begin{aligned}\textsf{Directrix}:y&=(k-p)\\ \implies y&=(20-(-80))\\ \implies y&=100\end{aligned}\)

\(\begin{aligned}\textsf{Axis of symmetry}:x&=h\\ \implies x&=80\end{aligned}\)

Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

The value of y for the given quadrilateral is 5.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

The Latin words quadra, which means four, and latus, which means sides, are combined to form the English term quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides. As a result, depending on the sides and angles, we might have several sorts of quadrilaterals.

We know that the opposite sides of the quadrilateral have a sum of 180 degrees.

Thus,

23y + 13y = 180

36y = 180

y = 5

Hence, the value of y for the given quadrilateral is 5.

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Answer:

Step-by-step explanation: We can solve it by doing a cross multiplication, basically finding the X, which is how much he'd pay for 10 pounds:

24 ------- 4

x ---------- 10

You can read this as "if 24 dollars is 4 pounds, how many dollars is 10?"

Anyways, so we multiply on a "X" shape, like this:

4x = 24 x 10

The equation will look better if you multiply the X first.

CONTINUING:

4x = 24 x 10

4x = 240

x = 240/4

x = 60

Therefore, Jackson would pay 60 dollars for 10 pounds of apples.

We could also do this by finding out first how many pounds of apples you can get with 1 dollar, we would do the same thing as before, but now looking for the pounds, not the dollars:

24 ------- 4

1 --------- X

24x = 4

x= 4/24

x= 0,166

So you can buy 0,16 pounds of apples with 1 dollar, so if we want to find out how much we can buy with 24 dollars we multiply 0,166 by 24, which is 3,984, approximately 4 pounds.

But since working with small numbers is quite odd sometimes, I recommend you do this equation with the first method I mentioned.

Answer:

1 1/2 = 36/24

3/8 = 9/24

5/6 = 20/24

3 = 72/24

Step-by-step explanation:

if this answers it or it is just 12

The least common multiple of these two denominators 6 and 12 is 2.

To find the least common multiple (LCM) of the denominators 6 and 12, follow these steps:

Step 1: Prime factorize each denominator.

6 = 2 × 3

12 = 2 × 2 × 3

Step 2: Identify the highest power of each prime factor.

In this case, the highest power of 2² is 2 and the highest power of 3 is 3.

Step 3: Multiply the highest powers of all prime factors.

\(2^2 * 3^1 = 4 * 3 = 12\)

Therefore, the LCM of the denominators 6 and 12 is 2.

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Answer:4

Step-by-step explanation:

1 3/5 = 8/5
8/5 / 2/5 = 4

Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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Answer:

B. -√(3)/2

Step-by-step explanation:

Given:

We know that in the 2nd quadrant, sinθ is positive and cosθ is negative.

The Pythagorean identity states that sin²(θ) + cos²(θ) = 1.

Substituting sin(θ) = 1/2, we get:

(½)² + cos²(θ) = 1

cos²(θ) = ¾

cos(θ) = -√(3)/2

Therefore, the value of cos(θ) is -√(3)/2.

Answer:

Attached

Step-by-step explanation:

y+4=25(x−3)

y = 25x - 79

The graph of the linear equation y + 4 = 25 (x + 3) is given below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y + 4 = 25 ( x + 3)

Some coordinates on the graph are:

When x = 0,

y + 4 = 175

y = 175 - 4

y = 171

When x = 1,

y + 4 = 25 (1 + 3)

y = 100 - 4

y = 96

Now,

The graph is given below.

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Therefore, the volume of the cone to the nearest cubic meter is approximately 333 cubic meters.

Volume is a measure of the quantum of three- dimensional space enthralled by an object, substance, or region of space. It's frequently measured in boxy units similar as boxy measures, boxy bases, or liters. The volume of an object can be calculated using its confines similar as length, range, and height, or by relegation styles where the volume of the object is determined by the quantum of fluid it displaces when submerged in a liquid. The conception of volume is used in numerous areas of wisdom, engineering, and everyday life, similar as measuring the capacity of holders, determining the quantum of fluid in a force, or calculating the size of a room.

by the question.

To find the volume of a cone, we can use the formula:

\(V = (1/3) * π * r^2 * h\)

where V is the volume, r is the radius, and h is the height.

Plugging in the given values, we get:

\(V = (1/3) * π * (meters)^2 * (meters)\)

V ≈ 333.33 cubic meters (rounded to the nearest cubic meter)

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Answer:

A

Step-by-step explanation:

because box is filled with four out of six and the second is filled with three out of six. So, you subtract the second one from the first one. I HOPE IT HELPS

Answer:

The expression for the perimeter of the rectangle is: \(P = 4x - 18\)

Step-by-step explanation:

Perimeter of a rectangle:

A rectangle has length l and width w. It's perimeter is given by:

\(P = 2(l + w)\)

In this question:

\(l = x - 9, w = x\)

So

\(P = 2(x - 9 + x) = 2(2x - 9) = 4x - 18\)

The expression for the perimeter of the rectangle is: \(P = 4x - 18\)

To make y the subject, we must move everything to one side and y on the other.

  \(x + 2y = 6\\2y = 6 -x\\2y = -x + 6\\y =-\frac{1}{2} x + 3\)

Good day and I hoped that helped!

Answer:

\(y=3-\frac{x}{2}\)

Step-by-step explanation:

1. Examine Equation

x+ 2y = 6

2. Subtract "x" from both sides

2y = 6-x

3. Divide both sides by 2

\(y = \frac{6}{2} -\frac{x}{2}\)

4. Simplify

\(y=3-\frac{x}{2}\)

Product rule of logarithms:

For the given:

The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.

To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.

Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.

Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.

Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).

Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).

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An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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(a) The support has length 920 - 720 = 200, so X has probability density

\(f_X(x)=\begin{cases}\frac1{200}&\text{for }720\le x\le920\\0&\text{otherwise}\end{cases}\)

X has mean

\(E[X]=\displaystyle\int_{-\infty}^\infty xf_X(x)\,\mathrm dx=\frac1{200}\int_{720}^{920}x\,\mathrm dx=\boxed{820}\)

and variance

\(V[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2\)

The second moment is

\(E[X^2]=\displaystyle\int_{-\infty}^\infty x^2f_X(x)\,\mathrm dx=\frac1{200}\int_{720}^{920}x^2\,\mathrm dx=\frac{2,027,200}3\)

and so

\(V[X]=\dfrac{2,027,200}3-820^2=\dfrac{10,000}3\)

The standard deviation is the square root of the variance, so

\(SD[X]=\sqrt{V[X]}=\sqrt{\dfrac{10,000}3}\approx\boxed{57.73}\)

(b)

\(P(X<870)=\displaystyle\int_{-\infty}^{870}f_X(x)\,\mathrm dx=\frac1{200}\int_{720}^{870}\mathrm dx=\frac{870-720}{200}=\boxed{0.75}\)

Answer:

u = 156.25

Step-by-step explanation:

Step 1: Write equation

31.25 = u/5

Step 2: Solve for u

Step 3: Check

Plug in u to verify it's a solution.

31.25 = 156.25/5

31.25 = 31.25

Answer:

156.25

Step-by-step explanation:

if you multiply 31.25 times 5 you get 156.25