how do I solve this 2 step equationn?
g/3 + 11 = 25

The probability of drawing a diamond, then a black card, and then a face card from a standard deck of 52 cards with replacement is 3/104 or 0.028846 .

The probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card is given by the expression, `(13/52) × (26/52) × (12/52)`.

In a standard deck of 52 cards, there are 13 diamonds, 26 black cards (13 clubs and 13 spades), and 12 face cards (4 Jacks, 4 Queens, and 4 Kings).

To calculate the probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card, we use the formula of probability:

`P(E) = n(E) / n(S)`

where, P(E) = Probability of an event

n(E) = Number of favorable outcomes

n(S) = Total number of outcomes

Total number of outcomes = 52

First card will be a diamond

Number of diamonds in a deck of 52 cards = 13

Total number of outcomes after drawing the first card = 52

Probability of drawing a diamond in the first attempt = P(diamond)`= 13/52

Probability of drawing a black card in the second attempt, given that the first card is a diamond= `P(black/diamond)`= (26/52) = `(1/2)`

Probability of drawing a face card in the third attempt, given that the first card is a diamond and second card is a black card= `P(face/diamond and black)`= `(12/52)` = `(3/13)`

Therefore, probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card`= P(diamond) × P(black/diamond) × P(face/diamond and black) = (13/52) × (1/2) × (3/13)= 3/104`

Therefore, the required probability is 3/104 or 0.028846 rounded to the nearest millionth.

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Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.

Cylinder is a three-dimensional solid, whose circular base and top are parallel to each other. The curved surface area is defined as the area of only curved surface, leaving the circular top and base.

How to determine this

Area of curved surface of a cylindrical vase = 1808.64 square cm

Height = 36 cm

π = 3.14

Radius = ?

To calculate the radius

Area = 2πrh

1808.64 = 2 * 3.14 * r * 36

1808.64 = 226.08r

divides through by 226.08

1808.64/226.08 = 226.08r/226.08

8 = r

So, the radius of the vase = 8 cm

To find the base area of the vase

Base area = \(\pi r^{2}\)

Base area = 3.14 * \(8^{2}\)

Base area = 3.14 * 64

Base area = 200.96 \(cm^{2}\)

Therefore, the radius is 8 cm and the base area is 200.96 \(cm^{2}\)

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Answer:

x = -6 and y = -3

Step-by-step explanation:

x- 4y =6

x =4y +6......(i)

5x -4y =-18

20y +30 - 4y = -18

16y = -48

y = -3

x = -12+6

x = -6

Answer:

D. -4

Step-by-step explanation:

a1 is the first term.

a1 = -10

an = an-1 + 3

The recursive formula means that each term after the first term is 3 more than the previous term.

a2 = a1 + 3 = -10 + 3 = -7

a3 = a2 + 3 = -7 + 3 = -4

The mean and variance of the area A of a circle with a random radius R, uniformly distributed between 0 and 1, can be calculated using mathematical formulas. The mean of A is π/4, and the variance of A is (π^2 - 4)/16.

The area A of a circle is given by the formula A = π * R^2, where R is the radius. Since the radius R is uniformly distributed between 0 and 1, we can express the probability density function (PDF) of R as f(R) = 1 for 0 ≤ R ≤ 1, and f(R) = 0 elsewhere.

To find the mean of A, we need to calculate the expected value of A, denoted as E[A]. Using the formula for expected value, we have E[A] = ∫(A * f(R)) dR = ∫(π * R^2) dR from 0 to 1. Solving this integral gives E[A] = π/4.

To find the variance of A, we need to calculate E[A^2] first. Using the formula for expected value, we have E[A^2] = ∫(A^2 * f(R)) dR = ∫(π^2 * R^4) dR from 0 to 1. Solving this integral gives E[A^2] = π^2/5.

The variance of A can be calculated as Var[A] = E[A^2] - (E[A])^2 = π^2/5 - (π/4)^2 = (π^2 - 4)/16.

Therefore, the mean of A is π/4, and the variance of A is (π^2 - 4)/16 for a circle with a random radius R uniformly distributed between 0 and 1.

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triangle:

180(3-2) = 180

180 - (50+90) = 40

x finding:

2x - 10 = 140

2x = 150

x = 75

check:

2(75) - 10 = 140

140 + 40 = 180

Your answer:

x = 75

angle: 140

Answer:

1)96

2)131

3)7

Step-by-step explanation:

please mark me as brainlest and follow me

Answer: tell him " your way doesnt work many people have the same issue so im doing it my way"

Step-by-step explanation:thats job done

Answer:

y = x + 17

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 18 ← is in slope- intercept form

with slope m = - 1

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-1}\) = 1 , then

y = x + c ← is the partial equation of the perpendicular line

to find c substitute (- 6, 11 ) into the partial equation

11 = - 6 + c ⇒ c = 11 + 6 = 17

y = x + 17 ← equation of perpendicular line

Answer:

Step-by-step explanation:

i am on the same one

Answer:

uhh

Step-by-step explanation:

carrot?

Answer:

The answer is x=18/5

Step-by-step explanation:

how let us try it

-(-2–5x)+(−2)=18

2+5x-2=18

5x=18

x=18/5

The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

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The graph for the question is attached.

The cosine form of the function 10sin(wt - 40)  is 10cos(wt - 50).

The cosine form of the function 10sin(wt - 40) can be found using the identity sin(x - y) = sin(x)cos(y) - cos(x)sin(y).

By applying this identity to the given function, we can rewrite it in terms of cosine.

10sin(wt - 40) = 10(sin(wt)cos(40) - cos(wt)sin(40))

Now, we can use the fact that cos(90 - x) = sin(x) and sin(90 - x) = cos(x) to further simplify the expression.

10(sin(wt)cos(40) - cos(wt)sin(40)) = 10(sin(wt)sin(50) + cos(wt)cos(50))

Finally, we can use the identity cos(x + y) = cos(x)cos(y) - sin(x)sin(y) to rewrite the expression in terms of cosine.

10(sin(wt)sin(50) + cos(wt)cos(50)) = 10cos(wt - 50)

Therefore, the cosine form of the function 10sin(wt - 40) is 10cos(wt - 50).

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Answer: 126in

Step-by-step explanation:

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huju7kt6r

5+10=24

g5ghykn

We are given two linear equations:

A: -2x - 9y = -25

B: -4x - 9y = -23

We can solve for one variable in terms of the other and substitute the expression into the other equation to solve for the remaining variable. Here, we will solve for y:

From equation A:

-2x - 9y = -25

-9y = 2x - 25

y = (2/9)x - 25/9

Substitute this expression for y into equation B:

-4x - 9y = -23

-4x - 9((2/9)x - 25/9) = -23

-4x - 2x + 25 = -23

-6x = -48

x = 8

Now substitute this value of x into either equation A or B to solve for y. We will use equation A:

-2x - 9y = -25

-2(8) - 9y = -25

-16 - 9y = -25

-9y = -9

y = 1

Therefore, the solution to the system of equations is (x, y) = (8, 1).

Answer:

x = -1 and y = 3.

Step-by-step explanation:

Let's solve your system by elimination.

−2x−9y=−25;−4x−9y=−23

Multiply the second equation by -1, then add the equations together.

(−2x−9y=−25)

−1(−4x−9y=−23)

Becomes:

−2x−9y=−25

4x+9y=23

Add these equations to eliminate y:

2x=−2

Then solve 2x=−2for x:

2x=−2

x = -1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−2x−9y=−25

Substitute−1forxin−2x−9y=−25:

(−2)(−1)−9y=−25

−9y+2=−25  (Simplify both sides of the equation)

−9y+2+−2=−25+−2  (Add -2 to both sides)

−9y=−27

y = 3

Answer:

they can help by finding answers faster like a calculator.

Step-by-step explanation:

Answer: H

Step-by-step explanation:

We can see this rectangular prism will have side lengths of 5, 3, 7.

So we can use the fact Surface Area = 2(lh+wh+lw) to get:

2(15 + 35 + 21) = 2(71) = 142

The least of the integers in arithmetic mean of n consecutive odd integers is 3.

The formula to calculate average or arithmetic mean of evenly distributed set is -

Average = sum of first and last term/2

Keep the values in formula to find the least integer. Since these are consecutively arranged, the first number will be the least number.

10 = first number + 17/2

First number + 17 = 10×2

Performing multiplication on Right Hand Side

First number + 17 = 20

First number = 20 - 17

Performing subtraction

First number = 3

Hence, the least integer is 3.

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Answer:

I think B.

Step-by-step explanation:

The trapezoidal rule uses trapezoidal approximations to approximate the definite integral, whereas the midpoint rule uses rectangular regions to do so. By first approximating the original function with piecewise quadratic functions, Simpson's rule approximates the definite integral.

Since

"frac" (1-x) = (1-x)-1 = 1+x2+x3+x4+.... = "sum_n=0" infty" xn "hspace"

5mm for "left | x | 1"

How can a power-based integral be evaluated?

Power Rule for Integrals To apply this rule, simply add one to the exponent.The expression is then divided by the same number.The constant C is added in the final step. Now, we will solve some problems to determine the integrals of polynomials and root functions.

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The graph that represents the relationship between time and height off the ground is a sinusoidal graph.

To analyze the relationship between time and height off the ground, let's consider the properties of the Ferris wheel. The diameter of the Ferris wheel is 50 feet, which means the radius is half of that, 25 feet. The Ferris wheel completes one full rotation every 24 seconds.

The height of the rider can be modeled using a sine function. The general form of a sine function is:

h(t) = A * sin(B * t + C) + D

Where:

- A is the amplitude of the sine wave, which represents the maximum height from the center.

- B is the frequency of the sine wave, which affects how quickly the height changes.

- C is the phase shift, which determines the horizontal shift of the graph.

- D is the vertical shift, which accounts for the initial height of the rider.

In this case, the radius of the Ferris wheel is the amplitude, so A = 25. The frequency of the sine wave can be determined by calculating the time it takes for one complete revolution, which is 24 seconds. Since the period of a sine wave is the reciprocal of the frequency, we have B = 2π/24 = π/12. The phase shift C is 0 because the Ferris wheel starts at the same position. The vertical shift D is the initial height of the rider, which is 10 feet.

Therefore, the equation that represents the height of the rider as a function of time is:

h(t) = 25 * sin((π/12) * t) + 10

The graph that represents the relationship between time and height off the ground is a sinusoidal graph. As time increases, the height of the rider on the Ferris wheel will oscillate between 10 feet (the initial height) and 35 feet (10 + 25). The graph will have a period of 24 seconds, with the height reaching its maximum and minimum values twice during that time frame.

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Answer:

495

Step-by-step explanation:

initial amount = x

donated = 2/3x

left with = 1/3x

bought = (3x-16)

total now = 1634

Therefore, (3x-16) + 1/3x = 1634

Multiply through by 3 = 9x-48+1x = 4902

10x = 4950

x = 495

Each outcome represents the result of two spins, with the first element indicating the outcome of the first spin and the second element indicating the outcome of the second spin in the sample space.

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is spinning a spinner twice with two equally sized sections labeled "stop" and "go."

The possible outcomes of the first spin are "stop" (s) and "go" (g). Similarly, the possible outcomes of the second spin are also "stop" and "go."

Therefore, the sample space can be represented by all possible combinations of the first and second spin outcomes, which gives us the following four outcomes:

(s,s): the spinner stops on "stop" twice

(s,g): the spinner stops on "stop" on the first spin and on "go" on the second spin

(g,s): the spinner stops on "go" on the first spin and on "stop" on the second spin

(g,g): the spinner stops on "go" twice

Hence, the sample space for spinning a spinner twice with two equally sized sections labeled "stop" and "go" is given by the set: {(s,s), (s,g), (g,s), (g,g)}.

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Answer:

12

Step-by-step explanation:

The average rate of change for f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [ 1, 3 ] , then

f(b) = f(3) = 27 ← value of y from table for x = 3

f(a) = f(1) = 3 ← value of y from table for x = 1

average rate of change = \(\frac{27-3}{3-1}\) = \(\frac{24}{2}\) = 12

Answer:

x = 18°

Step-by-step explanation:

Since the angles are complementary, they must add up to 90°.

x + 72 = 90

x = 18°

The Bruce must include X and Z in his report.

We have given  the data on four electric circuits listed in the table

For w :

Voltage, V=18\ V

resistance, \(R=38\ \Omega\)

The formula of Ohm's low is V=IR

\(I=\dfrac{V}{R}\)

\(I=\dfrac{18\ V}{38\ \Omega}\)

I=0.47

\(q=0.47\times8\)

So charge,q=It

q=3.76\ C

For x :

Voltage, V=24\ V

\(resistance, R=34\ \Omega\)

so, V=IR...(Ohm's low)

\(I=\dfrac{V}{R}\)

\(I=\dfrac{24\ V}{34\ \Omega}\)

I=0.705

\(q=0.705\times8\)

So charge,q=It

q=5.64\ C

For y :

Voltage, V=34\ V

resistance, \(R=70\ \Omega\)

so, V=IR.......(Ohm's low)

\(I=\dfrac{V}{R}\)

\(I=\dfrac{34\ V}{70\ \Omega}\)

I=0.485

\(q=0.485\times8\)

So charge,q=It

q=3.88\ C

For z :

Voltage, V=12\ V

resistance, \(R=18\ \Omega\)

so, V=IR......(Ohm's low)

\(I=\dfrac{V}{R}\)

\(I=\dfrac{12\ V}{18\ \Omega}\)

I=0.66

\(q=0.66\times8\)

So charge,q=It

q=5.28\ C

Therefore, the circuits X and Z deliver 5.64 C and 5.28 C of charge.

Hence, Bruce must include X and Z in his report.

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Answer: A) X and Z

Step-by-step explanation:

Got it right on edge.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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To find the p-value for the test examining the positive linear relationship between speed and jump height, you need to calculate the Pearson correlation coefficient, determine the degrees of freedom, and then find the corresponding p-value.

To determine the p-value for this test, we would need to conduct a hypothesis test using a linear regression model. The null hypothesis would be that there is no linear relationship between speed and jump height, while the alternative hypothesis would be that there is a positive linear relationship between the two variables.

After running the regression model and performing the hypothesis test, we would look for the p-value associated with the slope coefficient for speed. If this p-value is less than the chosen significance level (usually 0.05), we can conclude that there is convincing evidence of a positive linear relationship between speed and jump height for students like these.

Without actually running the regression model and hypothesis test, it is not possible to provide an exact p-value for this scenario.

To determine if there is convincing evidence of a positive linear relationship between speed (mph) and jump height (in) for students like these, you need to conduct a correlation test, specifically a Pearson correlation test. The p-value will help you determine the significance of the relationship.

Step-by-step explanation:

1. Gather the data: Obtain the values for speed (mph) and jump height (in) for each student.

2. Calculate the Pearson correlation coefficient (r): This value will help you measure the strength and direction of the linear relationship between the two variables. You can use statistical software or a calculator for this.

3. Determine the degrees of freedom (df): Calculate this by subtracting 2 from the total number of data points (n). Formula: df = n - 2.

4. Calculate the p-value: Using the Pearson correlation coefficient (r) and the degrees of freedom (df), you can find the p-value in a t-distribution table or by using statistical software.

5. Interpret the p-value: If the p-value is less than your chosen significance level (commonly 0.05), there is convincing evidence of a positive linear relationship between speed and jump height. If the p-value is greater than 0.05, there is not enough evidence to suggest a significant positive linear relationship.

In summary, to find the p-value for the test examining the positive linear relationship between speed and jump height, you need to calculate the Pearson correlation coefficient, determine the degrees of freedom, and then find the corresponding p-value. Comparing this p-value to your chosen significance level will help you conclude if there is convincing evidence of a positive linear relationship between the two variables.

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