eric is randomly drawing cards from a deck of 52. he first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. what is the probability of drawing a red card, placing it back in the deck, and drawing another red card? answer choices are in the form of a percentage, rounded to the nearest whole number.

Answer:

a+b+c+d+e+f=540.

Angles in a triangle=180.

3 triangles=180×3=540.....

The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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Answer:

0.7

Step-by-step explanation:

The solution to the system of equations is x = 1, y = 1, and z = 0.

To solve the system of equations:

x + y + z = 2

2y - 2z = 2

x - 3z = 1

We can use various methods, such as substitution or elimination, to find the values of x, y, and z.

Let's start by using the method of elimination:

From equation 2, we can see that 2y - 2z = 2. We can simplify this equation by dividing both sides by 2:

y - z = 1   (equation 4)

Now, let's use equation 4 and equation 3 to eliminate y from these two equations. Multiply equation 4 by -1 and add it to equation 3:

-(y - z) + (x - 3z) = -1 + 1

Simplifying:

-x + 4z = 0   (equation 5)

So now we have two equations:

x + y + z = 2

-x + 4z = 0

Next, let's eliminate x from these two equations. Multiply equation 1 by -1 and add it to equation 5:

-(x + y + z) + (-x + 4z) = -2 + 0

Simplifying:

-2y + 3z = -2   (equation 6)

Now we have two equations:

-2y + 3z = -2

y - z = 1

We can solve this system of equations by eliminating y. Multiply equation 4 by 2 and add it to equation 6:

2(y - z) + (-2y + 3z) = 2 + (-2)

Simplifying:

z = 0

Substitute the value of z = 0 into equation 4:

y - 0 = 1

So, y = 1.

Substitute the values of y = 1 and z = 0 into equation 1:

x + 1 + 0 = 2

Simplifying:

x = 1

Therefore, the solution to the system of equations is x = 1, y = 1, and z = 0.

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Answer:

100 (I believe)

Step-by-step explanation:

The length would be 20
20 x 2 (because we have two sides) is 40

the width would have to be 5 then

5x2 (because we have to sides) is 10

5x4 is 20 (Showing that the length is 4 times the width)

40 + 10 = 50 (Which is the perimeter)

Since we know the length is 20 and the width is 5

we just do

20 * 5 = 100

Answer:

L = 20

Width = 5

Step-by-step explanation:

"The perimeter of the rectangle is equal to 2 times length + 2 times width:

P = 2L + 2W

We know that length is 4 times the width, so L = 4 W

We can now replace l by 4W in the equation of the perimeter:

P = 2L + 2W = 50

P = 2(4W) + 2W = 50

P = 8W + 2W = 50

P = 10W =50

So W = 50 /10

W = 5

And L = 4W

L= 4 (5)

L = 20"

2O × 5 = 100

In this question, we are given a consumer with a utility function and a budget set defined by prices and income. We are asked to analyze various aspects related to the consumer's optimization problem, including drawing indifference curves.

Aproving the compactness of the budget set, analyzing changes in the budget set, solving the consumer's optimization problem using the KKT formulation, and discussing the differentiability of optimal demand with respect to income.

(a) The indifference curve that achieves a utility level of -1 can be obtained by setting the utility function equal to -1 and solving for x and y. Plotting the resulting equation will give us the shape of the indifference curve. The concavity of the utility function determines whether it is quasi-concave or not. If the utility function is concave, then the indifference curves will be convex, indicating that it is quasi-concave.

(b) To prove that the budget set B is compact, we need to show that it is closed and bounded. Closedness can be demonstrated by showing that the complement of B is open. Boundedness can be shown by demonstrating that there exists a finite number M such that the Euclidean distance between any point in B and the origin is less than or equal to M.

(c) When p = 0, the budget set reduces to the entire two-dimensional space, as there are no price constraints. In this case, the budget set is not compact since it is unbounded.

(d) To obtain a solution to the consumer's optimization problem using a diagram, we can plot the budget set and indifference curves. The optimal consumption bundle will be the point where the budget line is tangent to the highest possible indifference curve within the budget set. This tangency point represents the maximum utility the consumer can achieve given the budget constraints.

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Answer:  C.  0.576

9*(52)=468

x=-3

x= -1404

A.

–15.625

Step-by-step explanation:

y=9*(52)(-3).

y = -1404

Plug in -3 for x and then multiply.

Let's solve for x.

(9)(52)xforx=−3

Step 1: Divide both sides by 468for.

468forx2

468for

=

−3

468for

x2=

−1

156for

Step 2: Take square root.

x=√

−1

156for

or x=−√

−1

156for

Answer:

x=√

−1

156for

or x=−√

−1

156for

Answer:

The commutative property of addition means that it does not matter what order in which you add numbers. You will get the same answer either way. It is represented as a + b = b + a, in which a and b are real numbers. However, the property is not limited to two numbers.

1) Rearrange terms

3 + 5m = 5m + 3

5m + 3 = 5m + 3

2) Subtract 3 from both sides

5m + 3 = 5m + 3

5m + 3 - 3 = 5m + 3 - 3

3) Simplify

- Subtract the numbers

5m + 3 - 3 = 5m +  3 - 3

5m = 5m + 3 - 3

- Subtract the numbers

5m = 5m + 3 - 3

5m = 5m

4) Subtract 5m from both sides

5m = 5m

5m - 5m = 5m - 5m

5) Simplify

- Combine like terms

5m - 5m = 5m - 5m

0 = 5m - 5m

- Combine like terms

0 = 5m - 5m

0 = 0

This means it has infinite solutions.

But the commutative property addition have been shown.

Answer:

\({ \rm{y = - 3x + 5}}\)

Gradient = -3

• Parallel lines have the same gradient, therefore gradient, m is -3

\({ \rm{y = mx + c}}\)

• At point (0, -4)

\({ \rm{ - 4 = ( - 3 \times 0) + c}} \\ \\ { \rm{c = - 4}}\)

y intercept is -4

\({ \boxed{ \boxed{ \mathfrak{answer : }}{ \rm{\: \: y = - 3x - 4}}}}\)

Answer:

above answer is correct

mrk that braniliest

Answer:

8k + 14

Step-by-step explanation:

2(4K + 7)

8k + 14

The volume of the solid formed by rotating the region inside the first quadrant enclosed by y = a°, y = 25 about the r-axis is \(V = \pi(25^3 - (a^\circ)^3)\).

To find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y = a°, y = 25 about the r-axis, we can use the method of cylindrical shells.

First, we need to determine the limits of integration for y.

The region is enclosed by y = a° and y = 25, so the limits are a° and 25.

Next, we need to determine the radius of each cylindrical shell. Since we are rotating about the r-axis, the radius is simply the y-value.

So, the radius is r = y.

Finally, we need to determine the height of each cylindrical shell.

The height is the circumference of the shell, which is 2πr.

So, the height is h = 2πy.

The volume of each cylindrical shell is then given by V = 2πy * (y - a°)

To find the total volume, we integrate this expression with respect to y from a° to 25:
\(V = \int_{a^\circ}^{25} 2\pi (y - a^\circ) dy\)

Evaluating this integral, we get:
\(V = \pi(25^3 - (a^\circ)^3)\)

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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To find the parametric equations for the line through the origin (0, 0, 0) and the point (4, 2, -1), we can use the vector equation of a line.

Let's denote the position vector of a point on the line as r(t) = (x(t), y(t), z(t)), where t is the parameter.

The direction vector of the line can be obtained by subtracting the coordinates of the origin from the coordinates of the given point:

d = (4, 2, -1) - (0, 0, 0) = (4, 2, -1).

The parametric equations can then be written as follows:

x(t) = 0 + 4t = 4t,

y(t) = 0 + 2t = 2t,

z(t) = 0 + (-1)t = -t.

Therefore, the parametric equations for the line through the origin and the point (4, 2, -1) are:

x(t) = 4t,

y(t) = 2t,

z(t) = -t.

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Answer:

70g+74

Step-by-step explanation:

Answer:

= 70g + 74

Step-by-step explanation:

10 (7 + 7g) + 4

= 10(7g + 7) + 4

= 70 + 70g + 4

= 70g + 74

Evaluating the given expression gives the final answer accurate to 2 decimal places as 21.70.

To evaluate the given integral ∫∫∫r 7(x*y) da, where the region r is defined by \({(x,y)∣25≤x^2 y^2≤64,x≤0}\), we need to express the integral in polar coordinates.

In polar coordinates, x = rcosθ and y = rsinθ.

Therefore, the integral becomes:

∫θ=π/2θ=0 ∫r=8r=5 7\((r^2cosθsinθ)^7 r dr dθ\)

Simplifying the integrand, we get:

\(∫θ=π/2θ=0 ∫r=8r=5 7r^15(cosθ)^7(sinθ)^7 dr dθ\)

Using the identity \(sin^2θ + cos^2θ = 1\), we can simplify\((cosθ)^7(sinθ)^7\) as \((sin^2θcos^2θ)^3/2\), which becomes \((1/4)(sin2θ)^6\).

Therefore, the integral becomes:

\((7/4)∫θ=π/2θ=0 ∫r=8r=5 r^15(sin2θ)^6 dr dθ\)

We can evaluate the integral over r first, which gives:

\((1/16)(8^16 − 5^16)\)

Simplifying this further, we get:

\((1/16)(2^16)(8^8 − 5^8)\)

Next, we evaluate the integral over θ, which gives:

\((7/4)(1/16)(2^16)(8^8 − 5^8)∫π/20(sin2θ)^6 dθ\)

This integral can be evaluated using the substitution u = cos2θ, which gives:

\((7/4)(1/16)(2^16)(8^8 − 5^8)(15/32)(31/33)(29/30)(27/28)(25/26)(23/24)\)

21.70.

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Answer:

704

Step-by-step explanation:

7000 + 40  (7 thousands + 4 Tens) Divide that by 10.

7040/10 = 704

The value of 7 thousand 4 tens divided by 10 or 7040 ÷ 10 is 704 after applying the arithmetic operation the answer is 704.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

7 thousand 4 tens divided by 10

Mathematically,

= 7040 ÷ 10

As we know the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The two numbers are 7040 and 10

After dividing:

= 7040/10

= 704 (0 cancelled out)

Thus, the value of 7 thousand 4 tens divided by 10 or 7040 ÷ 10 is 704 after applying the arithmetic operation the answer is 704.

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Answer:

Ans: (-2, -9)

Explanation:

x-coordinate of the vertex:

x

=

(

−

b

2

a

)

=−42=−2y-coodinate of vertex: y=f(−2)=(−2)2+4(−2)−5=4−8−=−9

Step-by-step explanation:

Answer:

12,24,32.....

Step-by-step explanation:

4x3=12  6x2=12

Answer:

a. Correct

b. Incorrect

c. Correct

d. Incorrect

e. Incorrect

Step-by-step explanation:

b. Incorrect because negative hours do not make sense

d. 80 is achieved only with more than 3.89 hours of study, so 3.5 is not enough

e. No, the score is the dependent, it comes out of the formula.

Step-by-step explanation:

Probability of A  is  10 + 5  =15

Probability of B is   9 + 5   ( but you already counted the '5')  

 so just count   9

9+ 15 = 24

  this is  24 out of     16 + 10 + 5 + 9 = 40

      or    24/40   which reduces to 3/5   or  .6   or  60%

Using the equation given:

P(A) + P(B) - P(A and B)

  15  + 14    - 5    = 24       this is out of the entire number 40

               24/40 = same as above

The coordinates of R' after the transformations are given as follows:

D. (10, 12).

Examples of transformations are given as follows:

The coordinates of R are given as follows:

R(2,4).

The dilation by a scale factor of 3 means that each coordinate is multiplied by 3, hence:

R'(6, 12).

The translation means that 4 is added to the x-coordinate, hence:

R''(10, 12).

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Answer:

i think its a

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Given that \(2\frac 1 2 \div \frac 1 8 =20\)

\(\Rightarrow \frac 5 2 \div \frac 1 8 =20\)

\(\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)\)

Now, \(2\frac 1 2 \div \frac 5 8\) \(= \frac 5 2 \div \frac 5 8\)\(=\frac 5 2 \times \frac 8 5\)

This can be written as

\(\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right)\) [as \(\frac 8 5=\frac 8 1 \times \frac 1 5\)]

\(=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5\)

\(=20 \times \frac 1 5\) [ by using equation (i)]

=4

Hence, \(2\frac 1 2 \div \frac 5 8=4\)

Can you help me with my question??

Answer:

-3/5

Step-by-step explanation:

tan = opp/adj using pathagorean the hypt is 5

cos = 3/5

tan is negative in quad 2 and 4

sin is positive in quad 1 and 2

so because tan is negative and sine is positive the cosine is negative

-3/5

Answer:

11.8

Step-by-step explanation:

Rounding 59.03 you get 59.
20% of 59 = 11.8
11.8 = the tip.

Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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Answer: 156

Step-by-step explanation:

80 x 195% = 156

OR

80 x 1.95 = 156

Answer: total sales $1260

Step-by-step explanation:

GIVEN

Base salary: $360

Additional salary: 1/6 of total sale

Total salary: $570

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

Let x= the total sales

360+(1/6)x=570

Subtract 360 on both sides

(1/6)x=210

Divide 1/6 on both sides

x=210 ÷ (1/6)

Turn division of fraction into multiplying its reciprocal

x=210 × 6

Simplify

x=1260

Hope this helps!! :)

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