A bag contains 2 blue, 1 red, and 3 green marbles. You choose one marble. Without
putting it back, you choose a second marble.
What is the probability that you first choose a green marble and then a blue marble?
P(green then blue) = 1/15
P(green then blue) = 1/5
P(green then blue) = 1/6
P(green then blue) = 2/5

Answer:

its 63 lol

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

x/3-10=11

x/3=21

crisscross then

x=21×3

c=63

The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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Answer:

62

Step-by-step explanation:

you have to work out the surface area of a cuboid by:

3×2=6

5×3=15

5×2=10

sum of all the areas is 31

then times it by 2 which is 62

you don t really have to pay attention to the net, apart from the 2cm because you don t want to use it twice in the calculation.

Answer: Tim x(x+7)(3x-15)=04x(x+7)=2(x+7)(x-3)2 - x(x - 4) = 5

Step-by-step explanation:

The area of one of the six congruent faces of the cube after the hole is drilled can be determined by subtracting the area of the drilled hole from the original face area of the cube.

First, let's find the area of the drilled hole. The hole is cylindrical, and its radius is given as 1. The formula for the area of a cylinder is A = πr^2, where r is the radius. Therefore, the area of the drilled hole is π(1^2) = π square units.

Next, we need to find the original face area of the cube. Since the cube has side length 3, each face is a square with side length 3. The formula for the area of a square is A = side^2, so the original face area is 3^2 = 9 square units.

Finally, to find the area of one of the six congruent faces of the cube after the hole is drilled, we subtract the area of the drilled hole from the original face area. Thus, the area is 9 - π square units.

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To obtain the surface area of a triangular prism, the formula to employ is:

From the image, a=18in, b=21in, c =15in and h=12in

We have to obtain the value of 's' first, from the equation:

The final step is to obtain the area of the triangular, having gotten the values needed to be inputted in the formula;

Hence, the surface area of the triangular prism is 912.54 square inches

The critical value for an 80% confidence interval is 1.28.

To find the critical value for constructing an 80% confidence interval for the difference in two proportions, we need to use the z-table.

Step 1: Find the critical value.

Since we want an 80% confidence interval, the remaining area (1 - 0.80 = 0.20) is divided equally into the two tails. Each tail has an area of 0.10. To find the critical value, we look for the z-score that corresponds to an area of 0.10 in the standard normal distribution table.

Using the z-table or a calculator, we find that the z-score for an area of 0.10 (one tail) is approximately 1.28.

Therefore, the critical value for an 80% confidence interval is 1.28.

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Answer:

Both of them would be D!

Step-by-step explanation:

Hope this helps, sorry if I am wrong.

Answer:

9:20

Step-by-step explanation:

1kg is 1000g grams and in order to simify we need the units to be equal . 450:1000 would simplify to

45: 100 by divinding both the number by 10 then divide both number by 5 which would give 9: 20

hopefully this helped . if you need any more explanation pls ask

pls give brainliest if you like my answer :) thanks

Answer:

9: 20

Step-by-step explanation:

      1kg × 1000 = 1000g

     450 :  1000g

     450  :  1000

        9: 20

Answer:

C

Step-by-step explanation:

Answer:

correct answer is B - 1/100,000,000

Step-by-step explanation:

edge 2020

Given the linear system, We are to determine the type of solutions the system has. In order to determine the type of solution, we proceed by putting the system into an augmented matrix and subjecting infinitely many solutions. it to row reduction.

This yields,  

\left[\begin{matrix} 2 & 3 & -2

\\ 4 & 6 & -4 \end{matrix}\right] \implies \left[\begin{matrix}

2 & 3 & -2 \\ 0 & 0 & 0 \end{matrix}\right]

2x + 3y = -2 4x + 6y

= -4

We can see from the row-reduced matrix that,

2x + 3y = -2

0x + 0y = 0

Simplifying,  0 = 0

Thus, we cannot obtain a value for any variable. Therefore, we have an infinite number of solutions.

In other words, the linear system

\( 2 x+3 y=-2,4 x+6 y=-4 \) has infinitelye many solutions.

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Answer:

I hope this helps you

Step-by-step explanation:

To define the time of flight equation, we should split the formulas into two cases:

Launching projectile from the ground (initial height = 0)

t = 2 * V₀ * sin(α) / g.

Launching projectile from some height (so initial height > 0)

t = [V₀ * sin(α) + √((V₀ * sin(α))² + 2 * g * h)] / g.

The inverse function r(m), to find the radius of a sphere with mass, m is:

r(m) = ∛(3m/50π)

From the question, we are to determine the inverse function r(m), to find the radius of a sphere with mass, m

From the given information, we have that

m(r) = 50/3 πr³

This can be written as

m = 50/3 πr³

To determine the inversion function r(m), we will simply make r the subject of the above equation

m = 50/3 πr³

Multiply both sides of the equation by 3/50

3/50 × m = 3/50 × 50/3 πr³

3/50 × m = πr³

Divide both sides by π

3/50 × m/π = πr³/π

3/50 × m/π = r³

This can be written as

r³ = 3/50 × m/π

Take the cube root of both sides

r = ∛(3m/50π)

Thus, the inverse function is

r(m) = ∛(3m/50π)

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Answer:

K (-5, 2); J (-2, 3); I (-1, 1); L (-5, -3)

Step-by-step explanation:

Translating the shape 6 units to the left means that every point/vertex will be moved 6 units to the left of where it is originally drawn.

Point K is at (1, 2). Since we are only moving it left (on the x-axis), the y value will not change. To move K left 6, we have to subtract 6 from its current x-value, 1. We get -5 for the new x-value. Because the y value didn't change, the new location of K is (-5, 2).

Point J is at (4, 3). Subtracting 6 from 4 (the x value) gives us the new x value of -2. Again, the y value does not change and so our new location for J is (-2, 3).

Point I is at (5, 1). If we subtract 6 from 5, we get -1. This is our new x value for I. The new point is (-1, 1). (Once again, the y value does not change).

Point L is at (1, -3). By subtracting 6 from the original x value, 1, we get our new x value: -5. The new point for L is (-5, -3).

Answer:

Only plot B

Step-by-step explanation:

Answer:

Only Plot B

Step-by-step explanation:

The points in plot A are randomly scattered, and there is no recognizable pattern. So, this plot indicates no correlation between the points Tyler scored and the points Nolan scored.

In plot B, the total points Tyler’s team scored appear to increase as the points Tyler scored increase. This pattern indicates a positive correlation between the two variables.

So, only plot B indicates a positive correlation.

Answer:

9

Each value is 3 times the number on the ratio.

10 x 3 = 30.

So, the ratio for oranges would be 9 because:

3 x 3 = 9.

So, the answer is 9.

Answer:

F ' = (-2, 1)

G ' = (2, -2)

H ' = (4, 3)

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

Explanation:

The rule \((\text{x},\text{y})\to (\text{x},-\text{y})\) reflects any point over the x axis.

We keep the x coordinate the same. The y coordinate flips from positive to negative, or vice versa.

For example, let's use that rule on point F.

\((\text{x},\text{y})\to (\text{x},-\text{y})\\\\(-2,-1)\to (-2,-(-1))\\\\(-2,-1)\to (-2,1)\\\\\)

Therefore, point F ' is located at (-2,1).

Follow that same logic for points G and H.

Let me know if you need to see the steps for the other points.

The y values in the box respectively: -5, -1, 3, 7, 11

y = 4x + 3

We insert each of the values of x in the equation in order to get y:

when x = -2

y = 4(-2) + 3

y = -8 + 3 = -5

when x = -1

y = 4(-1) + 3

y = -4+3 = -1

when x = 0

y = 4(0) + 3

y = 0+3 = 3

when x = 1

y = 4(1) + 3

y = 4 + 3 = 7

when x = 2

y = 4(2) + 3

y = 8 + 3 = 11

The y values in the box respectively: -5, -1, 3, 7, 11

Answer:

okay what is number 10

Step-by-step explanation:

Answer:

C. x ≥ 1

Step-by-step explanation:

A P E X

Answer:

35.7 km and 248.3 °

Step-by-step explanation:

I will attach the diagram to an image to make it easier to understand.

We will use the formula corresponding to the law of cosine

y² = 42² + 28² - (2 * 42 * 25 * cos 58 °)

y² = 2389 - 1112.83 = 1276.17

y = √1276.17

y = 35.72 km

Now, to calculate the surveyor's bearing from her base camp we must use the sine law:

[(Sin 58 °) / y] = [(Sin A) / 42]

Without A = (42 * without 58 °) /35.72

A = sin⁻¹ (0.9971)

A = 85.7 °

Bearing of the surveyor from the base camp = 270 ° - (85.7 ° - 64 °) = 248.3 °

To solve the given inequality, first we have to simplify the given inequality.38 < x + 10 After simplification we get, 38 - 10 < x or 28 < x.

The correct option is B.

The given inequality is 38 < 4x + 3 + 7 - 3x. Simplify the inequality38 < x + 10  - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. The given inequality is 38 < 4x + 3 + 7 - 3x. To solve the given inequality, we will simplify the given inequality.

Simplify the inequality38 < x + 10  - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. Combine the like terms on the right side and simplify38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18.So, the answer is  x > 28. In other words, 28 is less than x and x is greater than 28. Hence, the answer is x > 28.

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Answer:

Line A =   y = 8x – 6

Line B =  y = -4x + 8

Step-by-step explanation:

Answer:

14.04

Step-by-step explanation:

\(19^{2}\) - \(17^{2}\) = 72

\(\sqrt{72}\) = 8.48

8.48 + 8.48 = 16.96

31 - 16.96 = 14.04