Twelve pounds of beans are distributed equally into 8 bags to give out at the food bank.

How many pounds of beans are in each bag?

Enter your answer in the simplest form.

Answer:

9

Step-by-step explanation:

g(x) = y

So to find x when g(x) = 3, go look at the y = 3 line and find the point, in this case (9,3) the x value (9) is your answer.

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

Answer:

Step-by-step explanation:

1. find the slope (m)

m=y2-y1/x2-x1

m=6-3/-1-2

m=3/-3

m=-1

2. y-y1=m(x-x1)

y-3=-1(x-2)

y-3=-1x+2

y=-1x+2+3

y=-1x+5

Answer:

150

Step-by-step explanation:

add 79+ 71 because you rounded to get that number then add :)

150

When estimating you just round off the numbers so, 78.9 becomes 79 and 71.2 becomes 71 so, 79 + 71 = 150.

Answer:

84 - 38 = 46

Step-by-step explanation:

Simple math just subtract to see how much longer the mail is then the post office.

Answer: The rate of change in the y coordinate is 75. 78 - 3= 75.

Answer:

Part a: Answer is 1/2

78 - 3/150 - 0 = 75/150

= 1/2

Part b: Answer is -1/2

3 - 78/300 - 150

= -75/150

= -1/2

Part c: No, the two rates aren’t the same, because one is positive and the other is negative.

Part d: The rate of change of the function determined by using the two pairs of coordinates is not the same. So, the function modeling the movement of the ball is a nonlinear function

Step-by-step explanation:

Answer:

5/6, 6/7, 7/8

Step-by-step explanation:

The numerators are going up by 1 and so are the denominators, just add 1 to each in the next one in the sequence.

Hope that helps

Answer:

d because every number power of zero is one ande the negative exponent defines to 1/that number

Answer:2

Step-by-step explanation:

The median of the probability distribution given in the table is 1.

Given that X, the value of a spin and the corresponding probability distribution.

X     :   0     1     2     5     10

P(X) :  0.4  0.2  0.2  0.1  0.1

CF   : 0.4   0.6  0.8  0.9  1

So the sum of the cumulative frequency = 1

We have to find the value where the half of the cumulative frequency lies in.

1/2 = 0.5

0.5 lies in between 0.4 and 0.6.

The value of the spin that corresponds to 0.6 is 1.

So the median of the distribution is 1.

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Answer: 73 3 and 3 makes up 73 so there's the answer

Step-by-step explanation:

Answer:

i believe it is c:50 if you add pi to the radius and of 8

Step-by-step explanation:

Answer:

C) 50 inches

Step-by-step explanation:

C = 2(3.14) x r

C = 6.28 x r

C = 6.28 x 8

C = 50.24

50.24 ≅ 50

The proportion of a normal distribution that falls between z = 1.16 and z = +1.16 is 0.3770, which corresponds to option A.

The area under the standard normal curve between two z-scores can be found using the standard normal distribution table.

Since the area under the curve is symmetric around the mean (which is 0 for the standard normal distribution), the area between z = -1.16 and z = 1.16 is the same as the area between z = 0 and z = 1.16, which is half the total area between z = -1.16 and z = 1.16.

Using the standard normal distribution table, we find that the area to the right of z = 1.16 is 0.1230. Therefore, the area between z = 0 and z = 1.16 is:

0.5 - 0.1230 = 0.3770

So the proportion of a normal distribution that falls between z = 1.16 and z = +1.16 is 0.3770, which corresponds to option A.

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Answer:

n=8

Step-by-step explanation:

57=8n-7

add 7 on both sides

64=8n

divide 8

n=8

Answer:

8

Step-by-step explanation:

57=8n-7

add 7 to both sides

64=8n

divide by 8 on both sides

n=8

Answer:

BD= 42 cm

CD= 42 cm

Step-by-step explanation:

because AD bisects CAB, 5x-3=3x+15

x=9

5(9)-3=42 cm

3(9)+15=42 cm

Answer:

Concept: Algebraic Manipulation

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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The area of the triangle is approximately 18 square yards (rounded to the nearest square unit).

To find the area of a triangle given the measurements B = 46°, a = 7 yards, and c = 5 yards, we can use the formula for the area of a triangle:

Area = (1/2) × a × c × sin(B).

Plugging in the values, we have:

Area = (1/2) × 7 × 5 × sin(46°).

Using the sine function, we need to find the sine of 46°, which is approximately 0.71934.

Calculating the area:

Area = (1/2) × 7 × 5 × 0.71934

= 17.9809 square yards.

Rounding the answer to the nearest square unit, the area of the triangle is approximately 18 square yards.

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Where the above are given,

(a) MLE of β: (nα + y₁ + y₂ + ... + yn)/n

(b) MLE of E(Y): (nα + y₁ + y₂ + ... + yn)/n

Maximum Likelihood Estimation (MLE) is   a statistical method used to estimate the parameters of a probability distribution by maximizing the likelihood function based on observed data.

(a) The MLE of β can be found by   maximizing the likelihood function. The likelihood function for  a gamma distribution is given by  -

L(β;  y₁, y₂, ..., yn) = (1/β^nαΓ(α))ⁿ * exp(-( y₁ + y₂ + ... + yn)/β)

Taking the logarithm of the likelihood function (log-likelihood) to simplify the calculations  -

log L(β;  y₁, y₂, ..., yn) =   n*log(1/β) + nα*log(β) - n*logΓ(α) - ( y₁ + y₂ + ... + yn)/β

To find the MLE of β, we differentiate the log-likelihood with respect to β, set it equal to zero, and solve for β  -

d/dβ(log L(β;  y₁, y₂, ..., yn)) = -n/β + nα/β² + ( y₁ + y₂ + ... + yn)/β² = 0

Simplifying the equation -

-n/β + nα/β^2 + ( y₁ + y₂ + ... + yn)/β² = 0

Multiplying through by β²

-nβ + nα + ( y₁ + y₂ + ... + yn) = 0

Rearranging  whave

nβ = nα + ( y₁ + y₂ + ... + yn)

Finally, solving for β -

β = (nα +  y₁ + y₂ + ... + yn)/n

Therefore, the MLE of β is (nα +  y₁ + y₂ + ... + yn)/n.

(b) The MLE of E(Y), the expected value of Y, is simply the MLE of β.

So, the MLE of E(Y) is (nα +  y₁ + y₂ + ... + yₙ)/n.

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The area of the window frame will be 136 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that a rectangular pane of glass measuring 12 inches by 18 inches is surrounded by a wooden frame that is 2 inches wide.

The area of the rectangular window will be calculated as below:-

Area of window = Area of outer layer - Area of the inner layer

Area of window = 22 x 16 - 18 x 12

Area of window = 352 - 216

Area of window = 136 square inches

Therefore, the area of the window frame will be 136 square inches.

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The value of M is 20.

What is Line segment?

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

M is the midpoint of line PQ.

The value of P = 14

The value of Q = 26

Now,

Since, M is the midpoint of overline PQ.

So, By the definition of midpoint, we can formulate;

M = 14 + 26 / 2

M = 40 / 2

M = 20

Therefore, The value of M is 20.

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The directional derivative of the function f(x,y) = 2xy - 3y^2 at the point P0 = (5,5) in the direction of the vector u = 4i + 3j is 6√2.

Explanation:

The directional derivative measures the rate of change of a function in a specific direction. It is denoted by ∇_u f(x,y), where u is the unit vector in the direction of interest. To compute the directional derivative, we need to take the dot product of the gradient of f with the unit vector u.

First, we need to find the gradient of f(x,y).

∇f(x,y) = [2y, 2x - 6y]

Next, we need to normalize the vector u to get the unit vector in the direction of interest.

|u| = √(4^2 + 3^2) = 5

u^ = (4/5)i + (3/5)j

Taking the dot product of the gradient of f with the unit vector u, we get:

∇_u f(x,y) = ∇f(x,y) · u^ = [2y, 2x - 6y] · (4/5)i + (3/5)j

At the point P0 = (5,5), we have:

∇_u f(5,5) = [2(5), 2(5) - 6(5)] · (4/5)i + (3/5)j = 10(4/5) + (-6)(3/5) = 8 - 3.6 = 4.4

Therefore, the directional derivative of f(x,y) at the point P0 = (5,5) in the direction of the vector u = 4i + 3j is:

∇_u f(5,5) = 4.4

Finally, we need to scale the result by the magnitude of the vector u to get the directional derivative in the direction of u.

Directional derivative = ∇_u f(5,5) / |u| = 4.4 / 5 = 0.88 * √(2)

Directional derivative = 6√2.

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Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

Answer:

336in^2

Step-by-step explanation:

6 x 4 x 14

"The buetiful thing about learning is that no one can take it away from you" :)

Answer: 336

Step-by-step explanation: I just multiplied them all

Answer:

Correct.

Step-y-step explanation:

Answer:

Step-by-step explanation:

because ( 90 - 100 ) frequency is greater than all other intervals.

The mode interval for the histogram is (90 - 100).

Option B is the correct answer.

A histogram is a representation of the distribution of data with intervals.

We have,

Mode interval in a histogram is the interval in which the values of the data occur the most.

Now,

From the histogram, we see that,

The interval (90 - 100) has the most date values.

Thus,

The mode interval is (90- 100).

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Answer:

Look below

Step-by-step explanation:

Well, earthquakes do really shake things up, don't they?

(5(12-2)2+7)/3

(5(10)2+7)/3

(50(2)+7)/3

(100+7)/3

107/3

35.66666...

Answer:

10 + 2c (i think)

Step-by-step explanation:

You do the $10 for his cores plus $2x The Amount of extra chores he did