,A bag contains 3 green balls, 6 red balls and 10 blue balls. - I took a ball out of the bag, and it was green. - Then, after putting the ball back in the bag, I took another ball. It was green again. What is the probability of this happening?

Answer:

de amor s

Step-by-step explanation:

The symbol ≤ could be written in both circles to represent this system algebraically.

Based on the given information, we have two dashed lines on the coordinate plane. The first line has a positive slope and goes through the points (-2, -2) and (0, 0). This line represents the inequality y ≥ x.

The second line has a negative slope and goes through the points (-2, 2) and (0, 0). This line represents the inequality y ≤ -x.

In order to represent this system of inequalities algebraically, we need to find a symbol that satisfies both inequalities. The symbol that can represent this is ≤ (less than or equal to). By using ≤, we can express the system of inequalities as follows:

y ≥ x

y ≤ -x

It's important to note that the choice of the symbol may vary depending on the conventions or context of the problem. In this case, ≤ is a suitable choice based on the given information.

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Answer: 52%

Step-by-step explanation:

A) multiply his hourly rate by 1.5

12.50 x 1.5 = $18.75

B) double time is 2 times. Multiply his hourly rate by 2:

12.50 x 2 = $25

The rotated equation for the given function is 6\(y^2\) + 4√3xy + 2\(x^2\) - 4y + 4√x = 0.

To eliminate the xy-term in the equation 6\(x^2\) - 4√3xy + 2\(y^2\) + 4x + 4√y = 0, we can perform a rotation of axes.

Let's assume that the new coordinates after the rotation are \(x_2\) and \(y_2\). To eliminate the xy-term, we need to choose an angle of rotation that satisfies the equation:

tan(2θ) = -2√3

To find θ, we can solve for it using the inverse tangent function:

2θ = atan(-2√3)

θ = atan(-2√3) / 2

Once we have the angle of rotation \(\alpha\), we can perform the rotation by substituting the following expressions:

x = \(x_2\)cos\(\alpha\) - \(y_2\)sin\(\alpha\)

y = \(x_2\)sin\(\alpha\) + \(y_2\)cos\(\alpha\)

Now, let's substitute these expressions into the original equation and simplify:

6\((x_2cos(\alpha ) - y_2sin(\alpha ))^2\) - 4√3(\(x_2\)cos\(\alpha\) - \(y_2\)sin\(\alpha\) )(\(x_2\)sin\(\alpha\) + \(y_2\)cos\(\alpha\) )

2\((x_2sin(\alpha ) + y_2cos(\alpha ))^2\) + 4(\(x_2\)cos\(\alpha\) - \(y_2\)sin\(\alpha\) ) + 4√(\(x_2\)sin\(\alpha\) + \(y_2\)cos\(\alpha\) ) = 0

Expanding and combining like terms, we have:

6\(x_2^2\)\(cos^2\alpha\) - 12\(x_2\)\(y_2\)cos\(\alpha\) sin\(\alpha\)  + 6\(y_2^2\)\(sin^2\alpha\)

4√3\(x_2^2\)cos\(\alpha\) sin\(\alpha\) - 4√3\(y_2^2\)cos\(\alpha\) sin\(\alpha\)

2\(x_2^2\)\(sin^2\alpha\) + 4\(x_2\)\(y_2\)cos\(\alpha\) sin\(\alpha\)  + 2\(y_2^2\)\(cos^2\alpha\)

4\(x_2\)cos\(\alpha\)  - 4\(y_2\)sin\(\alpha\) + 4√(\(x_2\)sin\(\alpha\)  + \(y_2\)cos\(\alpha\) ) = 0

Next, we need to choose \(\alpha\)  such that the coefficients of the cross terms (\(x_2y_2\) terms) become zero. In this case, the coefficient of \(x_2y_2\) is:

-12cos\(\alpha\) sin\(\alpha\) - 4√3cos\(\alpha\) sin\(\alpha\)

We set this equal to zero and solve for \(\alpha\) :

-12cos\(\alpha\) sin\(\alpha\) - 4√3cos\(\alpha\) sin\(\alpha\) = 0

-16cos\(\alpha\) sin\(\alpha\) = 0

cos\(\alpha\) sin\(\alpha\) = 0

This equation holds true for two cases:

cos\(\alpha\) = 0, which gives \(\alpha\) = π/2

sin\(\alpha\) = 0, which gives \(\alpha\) = 0

So, we have two possible angles of rotation: θ = 0 and θ = π/2.

Now, let's analyze both cases:

Case 1: θ = 0

If θ = 0, then the new coordinates become \(x_2\) = x and \(y_2\) = y.

Substituting this back into the original equation, we get:

6\(x^2\) - 4√3xy + 2\(y^2\) + 4x + 4√y = 0

This is the original equation without the xy-term, so no further rotation is necessary.

Case 2: θ = π/2

If θ = π/2, then the new coordinates become \(x_2\) = -y and \(y_2\) = x.

Substituting this into the original equation, we get:

6\((-y)^2\) - 4√3(-y)(x) + 2\((x)^2\) + 4(-y) + 4√(x) = 0

Simplifying, we have:

6\(y^2\) + 4√3xy + 2\(x^2\) - 4y + 4√x = 0

This is the rotated equation with the xy-term eliminated.

To summarize:

After performing the rotation of axes, we have two possible cases:

θ = 0: No further rotation is needed.

θ = π/2: The rotated equation is 6\(y_2\) + 4√3xy + 2\(x^2\) - 4y + 4√x = 0.

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Answer:

$60/t

Step-by-step explanation:

t tickets--> $60

1 ticket---> $60/t

Answer:

wewewe

Step-by-step explanation:

corn

Answer:

558 m2

Step-by-step explanation:

po ang sagot thi is my answer

Answer:

d=-4

Step-by-step explanation:

Answer:

4 I guess

Step-by-step explanation:

10-2d=2-4d

10-2= -4d+2d

8=2d

2=2

d=4

Answer:

x=-9 and x=5

Step-by-step explanation:

x+9=0 and x-5=0

x=-9 or x=5

Answer:

Me two I'm dum lol I think it 2× 9=18 in to 0 go 0 times

Answer:

124

Step-by-step explanation:

62 * 2 = 124

I hope this helped! Please mark Brainliest, thank you so much!!!

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is a measurement of the surface of a shape. for example

You are able to find the perimeter of the rectangle by adding length and width and multiplying by two because the opposite sides of a rectangle are equal in length. Both lengths of the rectangle are the same, and both widths are the same. For example, P = 2 * (14 + 8) = 2 * (22) = 44 centimeter (17.3 in).

Step-by-step explanation:

Answer:

282.5 hours

Step-by-step explanation:

14 books needs 113 hours

35 books needs x hours

x=(35×113)/14 = 3955/14 = 282.5 hours

Answer:

3 1/5

Step-by-step explanation:

k12 quiz 1.13

The null hypothesis is that the proportion of plates that blister is equal to or less than 10%. Using a one-tailed test with a significance level of 0.05, the p-value is 0.043, providing evidence to reject the null hypothesis and conclude that more than 10% of plates blister under such circumstances.

The value of h0: p = 0.1, Ha: p > 0.1, where p is the true proportion of plates that blister under the specified circumstances. We can use a one-tailed z-test to test this hypothesis, where the test statistic is given by:

z = (P - p0) / sqrt[p0(1-p0) / n],

where P is the sample proportion of plates that blister, p0 is the null hypothesis proportion (0.1), and n is the sample size (100).

Using the given data, P = 13/100 = 0.13, and the test statistic is:

z = (0.13 - 0.1) / sqrt[(0.1)(0.9) / 100] = 1.68.

At a significance level of 0.05, the critical z-value for a one-tailed test is 1.645. Since our test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that more than 10% of all plates blister under the specified circumstances.

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Answer:

See the steps below.

Step-by-step explanation:

1. Distributive Property

2. Multiply

3. Addition and Subtraction property of equation.

4. Add and Subtract

Best Regards!

Let's use the formula provided:

Answer:

192cm²

Step-by-step explanation:

If you cut the shape into 2 and you do 8×8 which is 64cm²

Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²

Answer:

here's the answer and proof in the image below

Step-by-step explanation:

Answer:

For a function to be continuous at a point, it must be defined at that point, its limit must exist at the point, and the value of the function at that point must equal the value of the limit at that point.

a) The set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.

To find the set of values of k for which the line and curve meet at two distinct points, we need to solve the equation:

x^2 - kx + 2 = 3kx - 2k

Rearranging, we get:

x^2 - (3k + k)x + 2k + 2 = 0

For the line and curve to meet at two distinct points, this equation must have two distinct real roots. This means that the discriminant of the quadratic equation must be greater than zero:

(3k + k)^2 - 4(2k + 2) > 0

Simplifying, we get:

5k^2 - 8k - 8 > 0

Using the quadratic formula, we can find the roots of this inequality:

\(k < (-(-8) - \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = -2/5\\ or\\ k > (-(-8)) + \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = 2\)

Therefore, the set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.

b) To find the two values of k for which the line is a tangent to the curve, we need to find the values of k for which the line is parallel to the tangent to the curve at the point of intersection. For m to be the slope of the tangent at the point of intersection, we need to have:

2x - 4 = m

3k = m

Substituting the first equation into the second, we get:

3k = 2x - 4

Solving for x, we get:

x = (3/2)k + (2/3)

Substituting this value of x into the equation of the curve, we get:

y = ((3/2)k + (2/3))^2 - k((3/2)k + (2/3)) + 2

Simplifying, we get:

y = (9/4)k^2 + (8/9) - (5/3)k

For this equation to have a double root, the discriminant must be zero:

(-5/3)^2 - 4(9/4)(8/9) = 0

Simplifying, we get:

25/9 - 8/3 = 0

Therefore, the constant term is 8/3. Solving for k, we get:

(9/4)k^2 - (5/3)k + 8/3 = 0

Using the quadratic formula, we get:

\(k = (-(-5/3) ± \sqrt{((-5/3)^2 - 4(9/4)(8/3)))} / (2(9/4)) = -1/3 \\or \\k= 4/3\)

Therefore, the two values of k for which the line is a tangent to the curve are k = -1/3 and k = 4/3. To show that the two tangents meet on the x-axis, we can find the x-coordinate of the point of intersection:

For k = -1/3, the x-coordinate is x = (3/2)(-1/3) + (2/3) = 1

For k = 4/3, the x-coordinate is x = (3/2)(4/3) + (2/3) = 3

Therefore, the two tangents meet on the x-axis at x = 2.

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Answer:

15a is 32oz   18c is 10

Step-by-step explanation:

The cost of the apples per pound is $1.8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 42x = 10 is an equation.

From the question, We were given

9 pounds of apples.

Amount of apples eaten = 3/4 of a pound

This means,

1 pound - 3/4 pound = 1/4 pound left

Now,

The pounds of apples left:

= 8 + 1/4

= 33/4 pounds

33/4 pounds = $15

Multiply 4/33 on both sides.

1 pound = 4/33 x $15

1 pound = $1.8

Thus,

The cost of the apples per pound is $1.8.

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The equation that can be used to find d is 0.25d - 3.50 = $55.

The first step is to determine the total cost when the distance travelled is d.

Total cost when the first rental company drives d miles = $55

Total cost when the second rental company drives d miles = cost per day + [cost per mile x (d - 150)

= $34 + [$0.25 x (d - 150)]

$34 + 0.25d - 37.50

0.25d - 3.50

When the total charges are the same, the two equations would be equal

0.25d - 3.50 = $55

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Answer:

Area= 89.11cm² multiply the l and w

Perimeter= 37.76cm add all the sides

Answer:

I would like to plot the time response of a step disturbance of a control system, but I am not sure what I have to plot.

I have tried to plot the step response of the Sensitivity function, but I am not sure it is the correct thing to do. So, what I have done is something like:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

119,940 books are not about math.

What I did:

60x2000=120,000

120,000-60=119,940

Answer:

119940

Step-by-step explanation:

.05 % are about math

b= books

b * .05% = 60

Change to decimal form

b * .0005 = 60

Divide each side by .0005

b = 60/.0005

b =120000 books in the store

we want the ones not about math

120000-60

119940

Databases of variants are crucial in helping to identify disease gene candidates. Here's how they are used:

1. Collect and store genetic variants: Databases collect and store genetic variants from various individuals, including those with specific diseases and those without.

2. Compare variants between groups: By comparing the variants in affected individuals to those in unaffected individuals, researchers can identify variants that are more common in the disease group. This helps to narrow down the list of potential disease-causing genes.

3. Calculate probability: Databases can be used to calculate the probability of certain variants appearing in the general population. If a variant is rare in the general population but more common in individuals with a specific disease, it may be more likely to be a disease-causing variant.

4. Filter out common variants: As you mentioned, variants that are common in the general population or present in individuals without the disease are less likely to cause a rare genetic disease. By filtering out these common variants, researchers can focus on rare variants that may have a stronger association with the disease.

5. Identify disease gene candidates: Through this process of comparing and filtering genetic variants, researchers can identify potential disease gene candidates that warrant further investigation.

In summary, databases of variants help researchers identify disease gene candidates by storing genetic information, enabling comparison between affected and unaffected individuals, calculating variant probabilities, filtering out common variants, and ultimately pinpointing rare variants that may be associated with specific genetic diseases.

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Answer:

Step-by-step explanation:

a) The amount of their account on July 1 can be found by calculating the balance of the account at the end of the first six months and then adding the second $2,000 deposit:

balance at end of first 6 months = $2,000 * (1 + 0.06/2)^2 = $2,060.60

total balance on July 1 = $2,060.60 + $2,000 = $4,060.60

b) The balance of the account one year later on January 1 can be found by calculating the balance at the end of the second six months and adding it to the balance at the end of the first six months:

balance at end of second 6 months = $2,060.60 * (1 + 0.06/2)^2 = $2,123.36

total balance on January 1 = $2,123.36 + $2,060.60 = $4,183.96

c) The compound interest can be found by subtracting the initial deposit from the balance one year later:

compound interest = $4,183.96 - $2,000 = $2,183.96

Answer:

Step-by-step explanation:

First, take 1 coin away and subtract .5 from the total of 85 cents to get 9 coins for 35 cents. Then, you must figure out any amount of coins that will fit that value for 9 coins; A penny = 1 cent, nickel = 5 cents and dime = 10 cents

You can do 2 nickels 2 dimes and 5 pennies for 9 coins total.

You can also do an equation for more intricate problems:

.10x + .05y + .01z = .35

where you would solve for a variable and input the new equation in that variable to solve for your variables. I hope this helps :)

Answer:

D

Step-by-step explanation: