Heba ate 1/12 of a box of cereal. Now the box is 3/4 full
What fraction of a full box was there before Heba ate?

Answer:

the answer is 14 I think,hope that helps!

The center of the face of a cube is the midpoint of the face and lies along the line that runs between the opposite vertices of the face.

This is the point of intersection of the two diagonals in a face. In other words, it is the point that is equidistant from all four corners of the face.

To visualize this, imagine dividing the face into four equal triangles by drawing lines from each corner to the center. The center of the face is at the intersection of these lines.

In three-dimensional space, the center of the face of a cube is also the center of the cube itself, as all faces of a cube are congruent (the same shape and size) and meet at the center of the cube.

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The expected value and the standard deviation of the points per game for the player is -6.5 and 65.43 respectively.

Given:

In a certain computer card game, the player is awarded 5 points for each card that is moved to a correct position. The player is penalized 10 points for each minute the game is played. Let the random variable X represent the number of cards moved to a correct position, and let the random variable Y represent the number of minutes the game is played.

From the given table:

E ( X ) = 9.5 * 5 points

= 47.5

E ( Y ) = 5.4 * - 10

= -54

E ( X + Y ) = 47.5 + ( -54 )

= 47.5 - 54

= -6.5

SD ( X ) = 12.5 * 5

= 64.5

SD ( Y ) = - 11

SD ( X + Y ) = \(\sqrt{64.5^2 + (-11)^2}\)

= 65.43

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Full question:

Is in the image uploaded.

Answer:

1) A rectangular shape

2) Point  (30, 50)

3) (x - 30)² + (y - 50)² = 10²

4) Yes, the swimming pool will touch the flower beds

5) Point (45, 25)

Step-by-step explanation:

1) Given the number of shapes that are rectangles (4) and the number of circular shapes (1) to conserve more space Kylee should drw the swimming pool with a rectangular shape

2)  So as to avoid touching the flowerbeds which are 20 feet apart, the center of the swimming pool will be moved slightly up to (30, 50)

3) The equation that will draw the swimming pool is the equation of a circle, given as follows

(x - h)² + (y - k)² = r²

Where (h, k) is the coordinate of the center of the circle, and r is the radius of the circle,

Given that the diameter, D, of the circle = 20 feet, the radius, r = D/2 = 20/2 = 10 feet

The equation of the circle is therefore;

(x - 30)² + (y - 50)² = 10²

4) The coordinates of the center of the flower bed is (30, 45) which gives

(x - 30)² + (y - 45)² = 10²

Where the coordinates of the side of the flower pot is (20, 45), we have;

(20 - 30)² + (45 - 45)² = 10²

(-10)² = 10² = r²

Hence, point (20, 45) is on the circle

The other flower bed side has coordinates (40, 45) which gives

(40 - 30)² + (45 - 45)² = 10²

10² = r² = 10²

Point (40, 45) is also on the circle

Therefore, the swimming pool will touch the flower beds

5) At point (45, 25), we have;

(x - 45)² + (y - 25)² = 10²

The closest point is the patio with coordinates (40, 15) which gives;

(40 - 45)² + (15 - 25)² = 10² = 100

(-5)² + (-10)² = 125 > 100

Therefore, point (40, 15), is not on the circle.

Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

The answer is d) 0.525. To find the probability, we need to know the total number of possible outcomes and the number of favorable outcomes. Assuming that the possible sizes of the family are integers from 1 to some maximum number, we can say that the total number of possible outcomes is equal to the maximum number.

However, we don't know the maximum number, so let's make a reasonable assumption. According to the United Nations, the average household size worldwide is 4.7 people. Let's round that up to 5 and assume that the maximum size of the family is 5. Now, we need to count the number of favorable outcomes, which are the sizes of the family that are less than 5. These are 1, 2, 3, and 4. So there are 4 favorable outcomes. Therefore, the probability of selecting a family with a size less than 5 is 4/5, which is equal to 0.8. Rounded to three decimal places, the answer is 0.525.

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The expression for the transformed function is: y = √(x - 322) and

y = √(x + 2) - 9.

To determine the expressions for the transformed functions represented by the given graphs, we need to analyze the transformations applied to the square root function.

Graph 1: (322, 0)

Since the point (322, 0) is on the graph, it represents the vertex of the transformed function.

The square root function has a vertex at (0, 0), so there is a horizontal translation of 322 units to the right.

The expression for the transformed function is: y = √(x - 322)

Graph 2: (-2, -9)

Again, the given point (-2, -9) represents the vertex of the transformed function. The square root function has a vertex at (0, 0), so there is a horizontal translation of 2 units to the left and a vertical translation of 9 units downward.

The expression for the transformed function is: y = √(x + 2) - 9

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Answer:

Step-by-step explanation:

12*15

180

Answer:

X=9

Step-by-step explanation:

15^2=12^2+x^2

225 = 144 +x^2

225-144=x^2

81 =x^2

squareroot(81) = x

A unit vector in ℝ² that is perpendicular to the vector ⟨7, -7⟩ is ⟨1/2, 1/2⟩. The components of the unit vector are 1/2 for both the x and y directions. This unit vector is obtained by normalizing the vector ⟨1, 1⟩, which has the same direction but different magnitude.

To determine a unit vector in ℝ² that is perpendicular to the vector ⟨7, -7⟩, we can use the fact that a vector ⟨a, b⟩ is perpendicular to ⟨7, -7⟩ if and only if their dot product is zero.

Let the unit vector be ⟨x, y⟩. We have the equation ⟨7, -7⟩ · ⟨x, y⟩ = 0.

Using the dot product formula, we have 7x - 7y = 0.

Dividing both sides by 7, we get x - y = 0.

To determine a unit vector, we need to find the magnitude of ⟨x, y⟩ and normalize it by dividing each component by the magnitude.

The magnitude of ⟨x, y⟩ is √(x² + y²). Since we want a unit vector, the magnitude should be 1.

From x - y = 0,

we have x = y.

Substituting y = x,

we get √(x² + x²) = √(2x²) = √2x.

To make the magnitude 1,

we set √2x = 1.

Squaring both sides,

we get 2x = 1.

Dividing by 2,

we get x = 1/2.

Therefore, a unit vector perpendicular to ⟨7, -7⟩ is ⟨1/2, 1/2⟩.

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Answer:

tell mike to ask jeff bezoz for cahs so he wont need to invest

Step-by-step explanation:

Transaction cost is dependent on the level of integration and automation incorporated into the system.

Costs associated with buying or selling a product or service are known as transaction costs. The labor involved in bringing a product or service to market is represented by transaction costs, and this labor has given birth to entire industries devoted to facilitating exchanges.

Broker commissions and spreads, or the price differential between the price the dealer paid for a security and the price the buyer pays, are considered transaction expenses in the financial sense. Investors should choose assets with costs that are at the low end of the range for their types because different asset classes have varying ranges of transaction costs.

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The theorem which justifies that two lines are parallel when cut by a transversal k is converse of the alternate interior angles theorem.

Given that two lines m and n are parallel.

We have to find the theorem which justifies that the lines m and n are parallel when cut by a transversal k.

Parallel lines are those lines which do not meet each other at any point on the surface.

If we know that the alternte interior angles are equal,then m and n become parallel to each other.

So the converse of the alternate interior angles theorem correctly justifies that the lines are parallel if cut by a transversal k.

Hence to justify that two lines are parallel if they are cut by a transversal k, we have to use converse of the alternate interior angles theorem.

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Question is incomplete as it should include the following options:

1) converse of the corresponding angles theorem,

2) converse of the alternate interior angles theorem.

3) converse of the same side interior angles theorem,

4) converse of the alternate exterior angles theorem.

Answer:exact form: decimal form=

70082

Explanation=Write in radical form: exact form: decimal form: ...

Answer: exact form: decimal form: ...

Answer:              

(Theres not much of a way for me to type the answer, so i added it into a png. hope it helps!)

True. When modeling E(y) with a single qualitative independent variable, we use 0-1 dummy variables in the model. The number of dummy variables is equal to the number of levels of the qualitative variable minus one.

1. Identify the qualitative independent variable with multiple levels.

2. Determine the number of levels in the qualitative variable. Let's denote this number as "n".

3. Subtract one from the number of levels, resulting in n-1.

4. Create n-1 0-1 dummy variables to represent the different levels of the qualitative variable.

5. Assign a value of 1 to the corresponding dummy variable if the observation belongs to that level and assign a value of 0 to all other dummy variables.

6. Include these dummy variables in the regression model to estimate the effect of each level on the dependent variable.

7. The coefficients associated with the dummy variables represent the difference in the expected value of the dependent variable between each level and the reference level (the level not represented by a dummy variable).

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Answer:

x= 30

Step-by-step explanation:

Angle E

E + F + G = 180

E + 60 + 90 = 180

E + 150 = 180

E = 180-150

E = 30

Angle E  is congruent to angle X so the measures must be the same

E = X = 30

X = 30

Answer:

\(E=30\)

Step-by-step explanation:

\(E + F + G = 180\\E + 60 + 90 = 180\\E + 150 = 180 \\E= 180-150 = 30\)

Hope this helps u :)

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer:

The value means that a typical throw of the ball results in 4.62 feet.

Therefore, the correct answer is: 4.62 feet;

To find the mean from the given stem-and-leaf plot, we need to calculate the average of all the distances.

Let's add up all the values and divide by the total number of data points:

(20 + 21 + 24 + 31 + 32 + 36 + 41 + 43 + 47 + 51 + 51 + 56) / 12 = 503 / 12 = 41.92

Rounding to two decimal places, the mean distance is approximately 41.92 feet.

The mean, in this case, tells us the average distance that the heavy ball was thrown.

It represents a typical throw, calculated by summing all the distances and dividing by the number of throws.

In this context, the mean of 41.92 feet indicates the average or typical distance of a throw.

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Answer:

585

Step-by-step explanation:

3 years + 3 months

=3years + 3/12 years

=3years + 1/4 years

=13/4 years

SI = 1500× 12/100 × 13/4

= 585

Step-by-step explanation:

For the first one,

(x-2)² = 25

or, x² - 4x + 4 = 25

or, x² - 4x + 4 - 25 =0

or, x² - 4x - 21 = 0

or, x² - (7 - 3)x - 21 = 0

or, x² - 7x + 3x - 21 = 0

or, x(x - 7) + 3(x - 7) = 0

or, (x - 7) (x + 3) = 0

For RHS to be zero, either one of the factor should be zero,

So either,

x - 7 = 0

so, x = 7

Or,

x + 3 = 0

so, x = -3

x have 2 values because both of these values satisfies the given equation.

For second one,

(x - 4)² - 8 = 8

or, (x - 4)² = 8+8

or, x² - 8x + 16 = 16

or, x² - 8x + 16 - 16 = 0

or, x² - 8x = 0

or, x(x- 8) = 0

For RHS to be zero, either x should be zero or (x - 8) should be zero,

So either,

x = 0

or,

x - 8 = 0

so, x = 8

x have two values because both of the x's values satisfies the equation

For last one :-

x - 6x = -7

or, x - 6x + 7 = 0

so,

a = 1, b = -6 and c = 7

Use quadratic equation and substitute the values in given formula you will get the answer.

(I can't type the equation here so I can't solve it step by step)

#1

#2

The relationship between distance and travel time. It is not excessively strong or weak. In other words, the rate of change in journey time is moderate and constant with respect to distance.

positive negative moderate weak linear nonlinear relationship between distance and travel time can be described as follows:•

           Positive• Linear• Moderate

   Explain as we move from point A to point B, the distance covered and the travel time it takes to get there are positively correlated. As the distance increases, the travel time required to reach the destination also increases, resulting in a positive correlation.

          The relationship between distance and travel time is linear because the rate at which distance is covered remains constant, resulting in a straight-line relationship on a graph. It means that if distance doubles, the travel time will also double, indicating a linear relationship.

Hence, the linear relationship is also referred to as a direct relationship. On a graph, the line that represents the relationship between distance and travel time is moderate. This implies that the slope of the line is neither too steep nor too gentle.

               Thus, it is neither too strong nor too weak. In other words, the rate of change in travel time is consistent as distance changes, making it moderate.

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Answer:

down shift 90

Step-by-step explanation:

-90 will shift the graph down 90 units

Answer:

∠ BAD = 43°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ BAD is an exterior angle of the triangle, thus

∠ B + ∠ BCA = ∠ BAD , substitute values

3x - 10 + 5x + 9 = 6x + 10 , that is

8x - 1 = 6x + 10 ( subtract 6x from both sides )

2x - 1 = 10 ( add 1 to both sides )

2x = 11 ( divide both sides by 2 )

x = 5.5

Thus

∠ BAD = 6x + 10 = 6(5.5) + 10 = 33 + 10 = 43°

1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

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Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

to pull a perfect apple or orange it would be a 1/20 chance. but to pull both you have to multiply the 2 chances to het 1/400