the school will repave the play yard at a cost of $23.00 per yard squard yard. the yard measures 108 ft by 135 ft. what is the total square footage of the play yard how much will the paving cost

The expected number of defective toys when 2 toys are selected at random is 0.077 (rounded to three decimal places).

To find the expected number of defective toys when 2 toys are selected at random, we first need to find the probability of selecting a defective toy on each pick.

On the first pick, the probability of selecting a defective toy is 4/13 since there are 4 defective toys out of 13 total. On the second pick, the probability of selecting a defective toy depends on whether or not a defective toy was selected on the first pick.

If a defective toy was selected on the first pick, then there are only 3 defective toys left out of 12 total toys remaining. So the probability of selecting a defective toy on the second pick would be 3/12 or 1/4.

If a non-defective toy was selected on the first pick, then there are still 4 defective toys left out of 12 total toys remaining. So the probability of selecting a defective toy on the second pick would be 4/12 or 1/3.

To find the expected number of defective toys, we need to multiply the probabilities of each scenario and add them together:

Expected number of defective toys = (4/13 x 3/12) + ((9/13) x 4/12)

Simplifying this equation gives us:

Expected number of defective toys = 1/13

Therefore, the expected number of defective toys when 2 toys are selected at random is 0.077 (rounded to three decimal places).

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Given:

5× ______ = - 35

• -35/5

• -7

5 x -7 = -35

Answer:

The answer is 7

Step-by-step explanation:

Divide each term in 5x=-35 by 5 and simplify.x=−7

Answer:

The equation is

15x = 610

Step-by-step explanation:

A dime is 10 cents while a nickel is 5 cents

$6.10 is same as 610 cents

Let the number of dimes and number of nickels be x

10x + 5x = 610

15x = 610

Proportionately, if a party has food to sustain 200 people for 4 days, the food will sustain 160 people for 5 days.

The proportion refers to the ratio that one quantity, value, or expression has in comparison with another.

Proportion is a fractional value that is depicted using decimals, fractions, and percentages.

The number of people sustained by the food for 4 days = 200

The number of days the food sustained 200 people = 4 days

Proportionately, the food will sustain 200 for 5 days (200/160 x 4)

Thus, the food that sustains 200 people for 4 days will sustain 160 people for 5 days, based on the principle of proportional relationships.

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The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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The line that best fits the data has a value of around y=-1.98x+7.97 is False.

A line is defined as a straight, one-dimensional figure that extends infinitely in both directions. It is a basic geometrical object that has no thickness or width, and can be defined as the set of all points that are equidistant from two fixed points, called the endpoints. It is represented by y=mx+c.

given y=-1.98x+7.97

Number of passenger=75

Number of Suitcases=159

75=-1.98×159+7.97

75=-305.26

Hence, the line does not satisfy the data.

The line that best fits the data has a value of around y=-1.98x+7.97 is False.

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Considering the definition of an equation and the way to solve it, each cupcake cost $0.85.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it and the equality is true. To solve an equation, keep in mind:

Being "x" thecost of the cupcake, and knowing that:

the equation in this case is:

Amount spent by Michele= Amount spent by Myka

12.75 + 9x= 24x

Solving:

12.75= 24x - 9x

12.75= 15x

12.75÷ 15= x

0.85=x

Finally, each cupcake cost $0.85.

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Answer: 0.32% = 0.32/100 = 0.0032

Step-by-step explanation:

Answer: Hope This Helps!

Step-by-step explanation:

Changes in air pressure are determined by a variety of forces, including the density and temperature of air masses. When air moves from between areas of high pressure and low pressure, wind directions and speeds may change. The driving force behind changes in air pressure and therefore the creation of wind is gravity.

Answer:

Probably B.

Step-by-step explanation:

It's a 50% chance and the other ones seem less likely than that.

A. no clue what that means

B. 1/2 chance/ 50%

C. 1/6 chance which is not as great as B.

D. 1/3 chance which is closer to B but still not as good.

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Answer:

$5791.5

Step-by-step explanation:

13.5% = $526.5 each year

Answer:

common factors of 28 and 98, that are 1, 2, 14, and 7.

Step-by-step explanation:

hope it helps

Answer:

14

Step-by-step explanation:

28 = 2 x 2 x 7

98 = 2 x 7 x 7

Common factor of 28 and 98

= 2 x 7

= 14

Answer:

A) 20 square feet

B) 30 square feet

C) 34.5 square feet

D) 32 square feet

E) 28 square feet

Shape in the ascending order :

A , E , B , D , C

Step-by-step explanation:

Answer:

\(AB= \frac{97}{3}\)

Step-by-step explanation:

Properties of Rhombus

We are given two sides of the rhombus BC and CD. According to the first property:

4x + 15 = 7x + 2

Subtracting 4x:

15 = 3x + 2

Subtracting 2:

13 = 3x

Dividing by 3:

\(x=\frac{13}{3}\)

It's required to find the side AB. Applying the first property again:

AB= BC = CD = 4x + 15

\(AB =4*\frac{13}{3}+15\)

\(AB= \frac{52}{3}+15\)

\(AB= \frac{97}{3}\)

Answer: 5

Step-by-step explanation:

First we should do the first step: 7+2=9, The they lose 4 which then 9-4

which would equal 5

Answer:

7+2-4=?

7+2=9-4=5

among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.

A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.

The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.

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If Ethan watches fewer than 6 movies per month, Plan A would be more expensive. If he watches more than 6 movies per month, Plan B would be more expensive.

For Plan A, the monthly cost is composed of a fixed fee of $28 plus a variable fee of $2.50 per movie watched. So, if Ethan watches x movies per month, the monthly cost for Plan A can be represented by the equation:

A = 28 + 2.5x

Here, A represents the monthly cost of Plan A, and x represents the number of movies Ethan watches per month.

For Plan B, the monthly cost is also composed of a fixed fee of $37, but the variable fee per movie watched is only $1. So, if Ethan watches x movies per month, the monthly cost for Plan B can be represented by the equation:

B = 37 + 1x

Again, B represents the monthly cost of Plan B, and x represents the number of movies Ethan watches per month.

To find the number of monthly movies watched, x, that would make the two plans have an equal monthly cost, we need to solve the equation:

A = B

So, we can substitute the equations for A and B to get:

28 + 2.5x = 37 + 1x

Now we can solve for x:

2.5x - 1x = 37 - 28

1.5x = 9

x = 6

So, if Ethan watches 6 movies per month, the monthly cost of Plan A and Plan B would be equal, at $41 per month.

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From the angles sum , ∠1 + ∠3 and ∠1 + ∠2 it is obtained that ∠2 is congruent to ∠3.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

It is given that angles -

∠1 and ∠2 form a linear pair.

This means that they lie on the same plane.

And they have a sum of 180° as they are supplementary angles pair.

Now, t is given that angles -

∠1 + ∠3 = 180°

They are also a supplementary angles pair.

Now, since ∠1 + ∠3 = 180° and ∠1 + ∠2 = 180°

So, we can equate both these equations -

∠1 + ∠3 = ∠1 + ∠2

∠3 = ∠2

Therefore, it is prove that ∠3 = ∠2, they are congruent.

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Answer:

17

Step-by-step explanation:

Answer:

-7 × 10

Step-by-step explanation:

Explanation:

6.3

×

10

5

is the same value as

63

×

10

4

So we have:

63

×

10

4

9

×

10

3

ddd

→

ddd

63

9

×

10

4

10

3

ddddddddd.d

→

ddd

63

9

×

10

If the sum of the digits is exactly divisible by 3 then the actual number is also exactly divisible by 3

→

6

+

3

=

9

so we will divide both top and bottom by 3 to simplify the fraction.

ddddddddd.d

→

ddd

63

÷

3

9

÷

3

×

10

Note that:

63

÷

3

9

÷

3

=

21

÷

3

3

÷

3

=

7

1

=

7

so we have:

(

6.3

×

10

5

)

÷

(

9

×

10

3

)

=

7.0

×

10

Negative version works the same exact way but with a negative sign

The scientific notation of (6.3 × 10⁻⁵) / (9 × 10⁻³) on simplifying is 7 × 10⁻³.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as the standard form in the UK and scientific form, standard index form, and standard form.

Given:

The expression is (6.3 × 10⁻⁵) / (9 × 10⁻³),

The values in the negative power in the numerator go to the denominator and vice versa,

(6.3 × 10⁻⁵) / (9 × 10⁻³) = (6.3 × 10³) / (9 × 10⁵)

Divide the 6.3 by 9 as shown below,

(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 / 10²

(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 × 10⁻²

(6.3 × 10⁻⁵) / (9 × 10⁻³) = 7 × 10⁻³

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For this case, your interest rate will be (. 11 x 100 = 11) 11%. Step 3: Apart from this, you can also calculate your time period involved, principal amount and interest amount paid in a specific time period if you have other inputs available with you. Calculate interest amount paid in a specific time period, I = Prt

Answer:

918.50 in interest over 11 years.

Step-by-step explanation:

Comment

You have to make an assumption here. The assumption is that this is simple interest.

So if the brother pays 10% each year, he is paying

10/100 * 835 each year in interest

10/100 * 835 = 83.50 every year.

There are 11 years, so the total interest paid is 11 * 83.50 = 918.50 dollars in total.. That's more than what he borrowed!

In symmetric multiprocessor (SMP) scheduling using private queues, the specific type of action performed when the scheduler running on a processor seeks to change its workload because it has no tasks to run is called a "pull migration."

In pull-migration, the scheduler on a processor actively requests or "pulls" a task from another processor's queue when its local queue is empty or low on tasks. This allows the scheduler to obtain a new workload from a different processor within the SMP system.

The "Pull-Migration" enables dynamic load balancing in SMP systems by allowing processors to actively request tasks from each other when their local queues are depleted. This approach helps ensure that workloads are distributed evenly among processors, minimizing idle time and maximizing resource utilization across the system.

By utilizing pull-migration, SMP schedulers can effectively manage task distribution and adapt to changing workloads, resulting in improved performance and efficient utilization of resources within the SMP system.

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Answer:

Yes

Step-by-step explanation:

Money to put into Savings Account

20% of $250.00 = 0.2 × $250.00

                            = $50.00

Cost of Jeans with sales tax

$75.00 + 5% = 105% of $75.00

                      = 1.05 × $75.00

                      = $78.75

Cost of Coat with sale tax

$110.00 + 5% = 105% of $110.00

                      = 1.05 × $110.00

                      = $115.50

Total money spent

= $78.75 + $115.50

= $194.25

Money left

= $250.00 - $194.25

= $55.75

$55.75 > $50.00

As the money left is more than 20% of $250.00 she does still have the money she planned to put into her savings account.

Answer: (x-2),(2x+3), and (2x-1)

Step-by-step explanation: I just took the test and guessed but now I know the answer, so I'm helping everyone :)

Answer:

There are four possible outcomes for each spin: red, blue, yellow, green.

Step-by-step explanation:

This it two image answer,Chapter 3 i don't know

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm