Sherry spins the spinner and rolls a standard number cube. Find the probability that the spinner will stop on purple and the cube will show nine.

There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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If total sales were $624 and customers bought 7 times as many pens as flashlights, then the number of pens sold is 84.

Let's start by assigning variables to represent the unknown quantities.

Let x be the number of flashlights sold.

Then, since "customers bought 7 times as many pens as flashlights," the number of pens sold would be 7x.

The total sales can be expressed as the sum of the sales of each item:

10x (sales from flashlights) + 6(7x) (sales from pens) = 624

Simplifying this equation

10x + 42x = 624

52x = 624

x = 12

So, the number of flashlights sold is 12.

And the number of pens sold would be 7x = 7(12) = 84.

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The answer is 5 hours.

The distance traveled by Wendy is 630 miles. The bus averaged 40 mi/h and the train averaged 90 mi/h. The entire trip took 9 1/2 hours. We can use the formula d = rt, where d is the distance, r is the rate, and t is the time. We can create two equations, one for the bus and one for the train:

Bus: 40t = d
Train: 90(9.5 - t) = 630 - d

We can solve for d in the first equation and substitute it into the second equation:

40t = d
90(9.5 - t) = 630 - 40t

We can then solve for t:

90(9.5 - t) = 630 - 40t
855 - 90t = 630 - 40t
50t = 225
t = 4.5

So Wendy spent 4.5 hours on the bus and 9.5 - 4.5 = 5 hours on the train. Therefore, the answer is 5 hours.

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The inequality to determine how much more money he needs to save so he can buy the shoes is x ≥ $45

Let x be the amount of money Jordan still needs to save to buy the shoes.

The total cost of the shoes is $75, and Jordan has already saved $30. Therefore, the amount of money he still needs to save is:

x = $75 - $30

Simplifying the right side:

x = $45

So, the inequality that represents how much more money Jordan needs to save is:

x ≥ $45

This means that Jordan needs to save at least $45 more to be able to buy the shoes.

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Answer:

answer is 2

Step-by-step explanation:

20/10

divide both answers by ten

2/1

then one is meaningless so u remove it

Answer:

0 or - 5

Step-by-step explanation:

x^2+5x=0

x(x+5)=0

x=0 or - 5

Full question attached:

Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?

Expression: 2x^2 - 4x - 9 - x^2 + 2x + 3

Simplified expression: x^2 - 6x - 6

ANSWER CHOICES:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Mickey should have added 2 and 1 when combining the x^2 terms.

Mickey should have added 9 and 3 when combining the constant terms.

Mickey should have added –4 and –1 when combining the x terms.

Answer

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Explanation:

To simplify an expression means to group and organize the expression in a such a way that it becomes more understandable, and can now easily be solved

Given the expression 2x² - 4x - 9 - x² + 2x + 3 to simplify

We first group and find like terms and then add and cancel out

2x²-x²- 4x+2x - 9+ 3

=x²-2x-6

Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients

Therefore the correct option is

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Answer:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Step-by-step explanation:

Answer:

a. x = 1.2, b. A = 32.1°

Step-by-step explanation:

1.41²-.75²=x²

a. x = 1.2

sin A = 0.75/1.41

b. A = 32.1°

Answer:

1. area
2. multiply
3. 2
4. circumference
5. multiply
6. height
7. add

Step-by-step explanation:

The formula for surface area of a cylinder is 2πrh + 2π\(r^{2}\), which consists of the formula for curved surface area, 2πrh, and 2 bases for the top and bottom of the cylinder, which is the formula 2π\(r^{2}\).

To solve for the degrees of freedom when the sample size is not given, you need to have additional information about the problem. The degrees of freedom (df) represent the number of values in a calculation.

In statistical analyses, it is typically calculated as the difference between the total number of observations and the number of parameters estimated in the model.

If the sample size is not explicitly provided, you can determine the degrees of freedom based on the specific statistical test or analysis being conducted. Each statistical test has its own formula for calculating the degrees of freedom. For example, in a t-test, the degrees of freedom are determined by subtracting 1 from the sample size. In ANOVA (analysis of variance), the degrees of freedom are calculated based on the number of groups and the total number of observations.

Therefore, to solve for the degrees of freedom when the sample size is not given, you need to identify the specific statistical test or analysis being performed and use the corresponding formula to calculate the degrees of freedom.

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Answer: step 1

Step-by-step explanation:

Answer:

Tiffany's mistake is step one.

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Its A

Answer: D.

Hope it helps

Answer:

200-178=22

22/200*100=2200/200

2200/200=11

11%

9514 1404 393

Answer:

  90 cm

Step-by-step explanation:

The lateral area of a cylinder is given by the formula ...

  LA = πdh

Filling in the given information, we can solve for h:

  11,880 cm^2 = π(42 cm)h

  h = 1180 cm^2/(42π cm) ≈ 90.0 cm

The height of the cylinder is about 90 cm.

Answer:

parallelogram

Step-by-step explanation:

Looks like a rectangle, but then angles should be marked =90

But two sides are marked equal that makes it a parallelogram.

(a parallelogram is 4 sided figure where 2 opposite sides are =

\(the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

Step-by-step explanation:

Notice the vertex and focus have the same y coordinate so this means we will have sideways parabola.

Equation of a sideways parabola is

\((y - k) {}^{2} = 4p(x - h)\)

Since the vertex is (0,0), we can get rid of h and k.

\( {y}^{2} = 4px\)

Next Section: Value of P:

The value of P is the displacement between the focus and vertex.

So we do

\(p = x _{focus} - x _{vertex}\)

\( p = - 6 - 0\)

\(p = - 6\)

\( {y}^{2} = 4( - 6)x\)

\( {y}^{2} = - 24x\)

or

\( - \frac{ {y}^{2} }{24} = x\)

The expression for the division of the two functions is equal to (f / g) (x) = - x² + x - 1. (Correct choice: C)

In this question we have two polynomic functions, the function f(x) is a quartic equation and the function g(x) is a quadratic equation. The division between functions is a binary operator defined as:

(f / g) (x) = f(x) / g(x)       (1)

If we know that f(x) = x⁴ - x³ + x² and g(x) = - x², then we obtain the expression for the division by algebraic handling:

(f / g) (x) = (x⁴ - x³ + x²) / (- x²)

(f / g) (x) = x⁴ / (- x²) - x³ / (- x²) + x² / (- x²)

(f / g) (x) = - x² + x - 1

The expression for the division of the two functions is equal to (f / g) (x) = - x² + x - 1. (Correct choice: C)

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Answer:

your answer is b

Step-by-step explanation:

Answer:

-98

Step-by-step explanation:

I hope this help

Answer:

The discriminant is 0

There is 1 real solution

Step-by-step explanation:

Use the discriminant formula, D = b² - 4ac

In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.

Plug in these values into the formula:

D = b² - 4ac

D = (-4)² - 4(1)(4)

D = 16 - 4(4)

D = 16 - 16

D = 0

So, the discriminant is 0.

With a discriminant of zero, there is one real solution.

So, the number of real solutions is 1.

Any number apart from 3 can be used to replace the ? to create a function.

In a function, the inputs do not repeat that is the input in all cases should be unique in nature.

The inputs are assigned to exactly one output for each.

Three is one of the options to create a non function as three is already an input in the given function.

Replacing the ? with 3 would create the a function would be to replace it with any number but 3.

(3,5) (2, 4) (9, 0) (3,6)

Any number apart from 3 can be used to replace the ? to create a function.

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Answer:

Shauna can buy 4 games because if you multiply 5 by itself to see hom many times it goes into 23 and 5 goes into 23 4 times

The distance from the runner in 2nd place to the point directly below the helicopter is given as follows:

304.26 feet.

The three trigonometric ratios are defined as follows:

The parameters for this problem are given as follows:

Hence the distance is obtained applying the tangent function as follows:

tan(60º) = 527/x

x = 527 / tangent of 60 degrees

x = 304.26 feet.

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Answer:

\(87.0051, ~ 87.05, ~ 87.5, ~87.505\)

Step-by-step explanation:

\(87.0051<87.05<87.5<87.505\)

In shape (i), there are two electron domains around the central atom. This means that the electron-domain geometry is linear. However, there are two bonding pairs and no lone pairs of electrons around the central atom, resulting in the molecular geometry also being linear.

The concept of electron-domain geometry and molecular geometry is essential in understanding the properties of molecules. The electron-domain geometry is determined by the number of electron domains (bonding or lone pairs) around the central atom in a molecule. On the other hand, the molecular geometry is determined by the arrangement of atoms in the molecule, taking into account the presence of lone pairs.

Knowing the electron-domain geometry and molecular geometry of a molecule is crucial in predicting its polarity and reactivity. For instance, polar molecules have an asymmetric distribution of electron density, while nonpolar molecules have a symmetric distribution. This difference in polarity affects the physical and chemical properties of a molecule, such as boiling point, melting point, and solubility.

In summary, in shape (i), both the electron-domain geometry and molecular geometry are linear, which means that the central atom has two bonding pairs and no lone pairs. Understanding the electron-domain and molecular geometry of molecules is essential in predicting their properties and behavior.

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Management by objectives (MBO) is a management system that incorporates goal setting as its central principle.

It emphasizes the establishment of clear, measurable objectives for individuals and teams within an organization, aligning their efforts with overall organizational goals and strategies. MBO provides a framework for performance management and evaluation, allowing managers and employees to work together to define objectives, set targets, and track progress towards achieving those goals.

The goal-setting aspect of MBO is supported by various theories and principles. Firstly, the concept of goal setting itself is a fundamental component of MBO. It is based on the idea that setting specific, challenging, and attainable goals can motivate individuals and enhance performance. The expectancy theory comes into play as well, as MBO assumes that individuals are motivated to achieve their goals when they believe that their efforts will lead to successful performance and desired central outcomes.

Additionally, cognitive dissonance theory suggests that MBO can help reduce cognitive dissonance by providing individuals with clear objectives and performance expectations, minimizing conflicts between their attitudes and behaviors. While hedonism and equity theory are not directly incorporated into MBO, they may indirectly influence individuals' motivation and satisfaction as they work towards their objectives within the MBO framework.

In summary, Management by Objectives (MBO) is a management system that revolves around goal setting. It incorporates various theories and principles such as goal setting theory, expectancy theory, and cognitive dissonance theory. By setting clear objectives, aligning efforts, and tracking progress, MBO provides a structured approach to performance management and encourages individuals and teams to work towards achieving organizational goals.

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The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

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