PLS HELP QUICK!!

The volume V of a cylinder with radius r and height h is given by the formula V = (pi)r^2h. Solve the formula for r. Then find the radius of a cylinder with a height of 15 centimeters and a volume of 750cubic centimeters. Round to the nearest hundredth.

a) Simulate rolling a pair of dice many times, count the number of times a sum of 5 occurs, and divide by the total trials.

b) Simulate tossing five coins many times, count the number of times exactly 2 tails occur, and divide by the total trials.

a) To determine the probability of rolling a sum of 5 when tossing a pair of dice without using a computer, you can simulate the experiment by physically rolling the dice a large number of times and counting the number of times a sum of 5 is obtained. The probability can then be estimated by dividing the number of successful outcomes (sum of 5) by the total number of trials.

1. Take a pair of dice: Start by obtaining a pair of standard six-sided dice.

2. Define the experiment: Clearly define the event of interest, which is rolling a sum of 5.

3. Set up the simulation: Decide on the number of trials you will perform. The more trials, the more accurate the estimate will be.

4. Roll the dice: Begin rolling the dice and record the outcome (sum of the numbers on the two dice) for each trial.

5. Count successful outcomes: Keep track of the number of times you obtain a sum of 5.

6. Calculate the probability: Divide the number of successful outcomes by the total number of trials to estimate the probability of rolling a sum of 5.

On a computer, the steps can be implemented through programming:

1. Define the experiment: Write a code that simulates rolling a pair of dice and calculates the sum of the numbers.

2. Set up the simulation: Determine the number of trials you want to perform.

3. Implement a loop: Use a loop to repeat the simulation for the specified number of trials.

4. Count successful outcomes: Within each trial, count the number of times a sum of 5 is obtained.

5. Calculate the probability: Divide the count of successful outcomes by the total number of trials to estimate the probability.

By running the program with a large number of trials, the estimated probability will approach the actual probability of rolling a sum of 5.

b) To determine the probability of getting exactly 2 tails when tossing five fair coins without using a computer, you can simulate the experiment by physically tossing the coins a large number of times and counting the number of times exactly 2 tails are obtained. The probability can then be estimated by dividing the number of successful outcomes (exactly 2 tails) by the total number of trials.

1. Obtain five fair coins: Gather a set of five identical fair coins.

2. Define the experiment: Clearly define the event of interest, which is obtaining exactly 2 tails when tossing the five coins.

3. Set up the simulation: Decide on the number of trials you will perform. The more trials, the more accurate the estimate will be.

4. Toss the coins: Begin tossing the five coins simultaneously and record the outcome (number of tails) for each trial.

5. Count successful outcomes: Keep track of the number of times you obtain exactly 2 tails.

6. Calculate the probability: Divide the number of successful outcomes by the total number of trials to estimate the probability of getting exactly 2 tails.

On a computer, the steps can be implemented through programming:

1. Define the experiment: Write a code that simulates tossing five coins and counts the number of tails.

2. Set up the simulation: Determine the number of trials you want to perform.

3. Implement a loop: Use a loop to repeat the simulation for the specified number of trials.

4. Count successful outcomes: Within each trial, count the number of times exactly 2 tails are obtained.

5. Calculate the probability: Divide the count of successful outcomes by the total number of trials to estimate the probability.

By running the program with a large number of trials, the estimated probability will approach the actual probability of getting exactly 2 tails.

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Answer:

x to the 2 power-9x+14

Step-by-step explanation:

Answer:

lets first multiply with the terms then we will add them up

-x*x = -x²

-x*-7=7x

2*x=2x

2*-7=-14

-x²+7x+2x-14

simplified to

-x²+9x-14   = answer

Thanks, HOPE IT HELPS :)

Answer:

Review the images

Step-by-step explanation:

Remember, the "x" is the hypotenuse.

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Mathematics, this is called as function inside another function, just we have replace the condition of x here,

1)g(f(4)) = here, f(4) = 4-7= -3

so now, g(-3) = (-3)^2 =9

g(f(4)) = 9

2) f(g(4)) = 16-7 = 9

f(g(4))= 9

3) g(f(-1)) = 64

4) f(g(-1)) = -6

done.

The closest point to y in the subspace w spanned by u1 and u2 is [14/9, 46/9, 5/3], which is closest to option B.

The closest point to y in the subspace w spanned by u1 and u2 can be found using the formula:

proj_w(y) = [(y dot u1)/(u1 dot u1)]u1 + [(y dot u2)/(u2 dot u2)]u2

where dot denotes the dot product.

Substituting the given values, we get:

proj_w(y) = [(112 + 92 - 22*(-1))/(22 + 22 + (-1)(-1))] [2 2 -1] + [(11(-1) + 93 + 224)/(11 + 33 + 4*4)] [-1 3 4]

= [14/9, 14/9, -7/9] + [0, 16/3, 14/3]

= [14/9, 46/9, 5/3]

Therefore, the closest point to y in the subspace w spanned by u1 and u2 is [14/9, 46/9, 5/3], which is closest to option B.

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Answer:

x^2 -14x+49

Step-by-step explanation:

(x-7) ^2

(x-7)(x-7)

FOIL

first ( x*x) = x^2

outer -7x

inner -7x

last -7*-7 = 49

Add these together

x^2 -7x-7x+49

Combine like terms

x^2 -14x+49

The probability that the taxi was actually blue is 0.61.

Witnesses are right 77% of the time. This means that they are incorrect 23% of the time. Furthermore, 25% of the taxis were blue while the rest were green. Since these are the only two choices, it follows that 75 percent of the taxis are green.

Using Bayes' Theorem, we can calculate the probability that the taxi was blue:

P (Taxi is blue|Witness said it was blue)

P (Witness said it was blue|Taxi is blue)

P (Taxi is blue)

P (Witness said it was blue|Taxi is green)

P (Taxi is green)

To begin, we must determine the probabilities of each of these:

P (Taxi is blue) = 0.25

P (Taxi is green) = 0.75

P (Witness said it was blue|Taxi is blue) = 0.77

P (Witness said it was blue|Taxi is green) = 0.23

To get the result we multiply all of them together:

P (Taxi is blue|Witness said it was blue) = P (Taxi is blue) × P (Witness said it was blue|Taxi is blue) / [P (Taxi is blue) × P (Witness said it was blue|Taxi is blue) + P (Taxi is green) × P (Witness said it was blue|Taxi is green)]P (Taxi is blue|Witness said it was blue) = 0.25 × 0.77 / (0.25 × 0.77 + 0.75 × 0.23)

P (Taxi is blue|Witness said it was blue) = 0.61

Therefore, the probability that the taxi was actually blue is 0.61.

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Answer:

We can use the formula for the volume of a cylinder:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

Plugging in the given values, we get:

6,430.72 = π(16)^2h

Simplifying:

6,430.72 = 256πh

Dividing both sides by 256π:

h = 6,430.72 / (256π)

h ≈ 8.05

Therefore, the height of the cylinder is approximately 8.05 yards.

First find height using Pythagorean theorem.

\(h^2+4^2=13^2\implies h=\sqrt{153}\approx12.37\).

Then use cone surface area formula and compute the result:

\(A=\pi r(r+\sqrt{h^2+r^2})\approx\boxed{68\pi}\mathrm{units^2}\).

Hope this helps.

Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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The term that best depicts the flow of messages and data flows is  Dotted arrows.(B)

Dotted arrows are used in various diagramming techniques, such as UML (Unified Modeling Language) sequence diagrams, to represent the flow of messages and data between different elements.

These diagrams help visualize the interaction between different components of a system, making it easier for developers and stakeholders to understand the system's behavior.

In these diagrams, dotted arrows show the direction of messages and data flows between components, while solid arrows indicate control flow or object creation. Diamonds are used to represent decision points in other types of diagrams, like activity diagrams, and are not directly related to the flow of messages and data.(B)

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Answer:

$85

Step-by-step explanation:

445-20=425 425 ÷5= 85

Answer:

4/8thes

Step-by-step explanation:

1.The total cost would be:50 cash registers x 450 AED per cash register = 22,500 AED

2.the cost of one new cash register at the end of 8 years would be approximately 661.39 AED.

3. the value of one old cash register after 8 years would be approximately 222.19 AED.

4.It is not possible to determine whether the money from selling the old cash registers is enough to pay for the new ones without knowing the selling price of the old cash registers.

5.It would take approximately 19 years for the value of the cash registers to reach 95 AED.

1. The company needs to buy at least 50 cash registers, each costing 450 AED. Therefore, the total cost would be:

50 cash registers x 450 AED per cash register = 22,500 AED

 2. The continuous compounding formula is A = \(Pe^(^r^t^)\), where A is the resulting amount, P is the initial amount, e is Euler's number, r is the annual interest rate, and t is the time in years. We can apply this formula here by setting P = 450 AED, r = 6%, t = 8 years and solving for A:

A = 450*e^(0.06*8) = 661.39 AED (rounded to two decimal places)

 3. The value of each old cash register decreases at a rate of 7.5% per year. We can use the formula for exponential decay, P = , where P is the resulting amount, P is the initial amount, e is Euler's number, r is the rate of change, and t is the time in years. Setting P to 450 AED, r to -7.5%, and t to 8 years, we can solve for the resulting value:

P = 450*e^(-0.075*8) = 222.19 AED (rounded to two decimal places)

 4. If the selling price is greater than the value of the old cash registers after 8 years (i.e., 222.19 AED), then the company would make a profit on each old cash register sold to help pay for the new ones; if the selling price is less than 222.19 AED, then the company would incur a loss on each old cash register sold.

 5. To find when the value of the cash register will be approximately 95 AED, we can use the formula from part (3).

95 = 450*e^(-0.075t)

Dividing both sides by 450 and taking the natural logarithm of both sides, we get:

ln(95/450) = -0.075t

Solving for t, we get:

t = -(1/0.075) * ln(95/450) ≈ 19.01 years

With a lifespan of only 8 years, it is not a realistic scenario for the cash registers to depreciate to such a low value. Therefore, it is important for the company to properly maintain and replace the cash registers on a regular cycle to ensure that their value remains close to the original purchase price.

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Answer:

The solution of the given inequality is y>-2.

Step-by-step explanation:

The given inequality is :

2(4y-3) > -22

Using distributive property on LHS of the above inequality.

8y-6 >-22

Add 6 both sides of the inequality

8y-6+6 >-22+6

8y>-16

y>-2

So, the value of y is more than -2.

Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.

This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.

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The answer is $12.50

You can see on the graph that if the weight is 20 pounds, it will cost $10. We are looking for how much it will cost to ship a 25 pound package. It can’t be $20.00 either.

hope this helps!

Give me Brainliest please!

The number of students who participated in Band and Orchestra only according to the Venn diagram are 41 and 36 students respectively.

Let :

Therefore, 41 students participated in Band only while 36 students participated in orchestra only.

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Answer:yes. For every month $16 is added

Step-by-step explanation:

Step-by-step explanation:

ML = (-6+(-6). (-1+(-3))

---------. +. --------

2. 2

=. (-6 ; -2)

i think

Answer:

48 :)

Step-by-step explanation:

120 divided by 10 = 12

12 x 4 = 48

Answer:

yo momma

Step-by-step explanation:

ha

Answer:

200 miles

Step-by-step explanation:

if its 40 miles per hour then multiply 5 with 40 and you'll end up with 200 miles

Answer:

1:2

Step-by-step explanation:

When 5:10 is simplified by 5 which would be...

10/5=2 and 5/5=1

Which equals to 1:2

Answer

The equivalent ratios are 1:5 and 2:10.

Explanation

To get from 5 to 10 you multiply by 2.

Do the same thing to the 1.

1 times 2 is 2.

For every one boy there are 5 girls. For every 2 boys, there are 10 girls.

P.S. LOLOLOL you use Big Ideas on an iPad?

Answer:

x = 10

Step-by-step explanation:

64 + 23 + 60

=

147

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

The appropriate statistical test to use is the two-sample t-test. This test compares the means of two independent samples and determines if there is a significant difference between them.

In this scenario, the goal is to compare the mean amount of money spent on food for two groups: students who live on campus and students who live off campus. Since the two groups are independent of each other, the two-sample t-test is the appropriate choice.

The two-sample t-test compares the means of the two groups and calculates a t-statistic and a p-value. The t-statistic measures the difference between the means relative to the variability within each group, while the p-value indicates the probability of observing such a difference by chance alone.

By conducting a two-sample t-test on the collected data from the random samples of 40 students from each group, we can determine if there is evidence of a significant difference in the mean amount of money spent on food between the two groups. The null hypothesis assumes that there is no difference between the means, while the alternative hypothesis suggests that there is a significant difference. The p-value obtained from the test will determine if there is sufficient evidence to reject the null hypothesis and conclude that there is a difference in the mean amount spent on food between the two groups.

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The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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