If breadth of a cuboid is one-fourth of its length,height is 5cm and total surface area is 328 cm²,find the length and breadth of cuboid
​

Answer:

True

Step-by-step explanation:

f'(3) = 0 says the tangent line at x = 3 is horizontal.

f"(3) = 0 means the graph of  f  is concave up at x = 3.

Together, these tell you the graph has a local minimum at x = 3.  The graph is  U-shaped at the point where x = 3.

The distribution is symmetric or skewed, and if there are any outliers among the states.

The distribution of adjusted number of nursing home residents can be determined by analyzing the data. To check if it is symmetric or skewed, follow these steps:
1. Obtain the data on the adjusted number of nursing home residents for each state.
2. Create a frequency distribution or histogram of the data.
3. Analyze the shape of the histogram.
If the histogram has a roughly symmetrical shape, then the distribution is symmetric. If it is not symmetrical and shows a longer tail on one side, then the distribution is skewed (either positively or negatively).
To identify potential outliers:
1. Calculate the mean and standard deviation of the data.
2. For each state, calculate the z-score (the number of standard deviations away from the mean).
3. States with z-scores greater than +2 or less than -2 may be considered outliers.

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To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:

21 years

Step-by-step explanation:

$1.76. A sales tax is a sum of money that a government organization takes in on the sale of particular goods. For instance, a state might impose a tax on all cars bought there. The tax rate is frequently expressed as a percentage of the price.

How to Determine Sales Tax:

Add the tax rate to the cost of your good or service. If the tax rate is expressed as a percentage, convert it to decimal form by multiplying the result by 100. 

1. Find the list price and the tax rate.

2. To obtain the tax rate as a decimal, divide the tax percentage by 100.

3. To calculate tax, multiply the list price by the decimal tax rate.

4. For the final price, multiply the list price by the tax rate.

=> Price before tax: $ 1.61

=> + Sales tax (9.5%): $ 0.15

=> Total price including tax: $ 1.76.

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we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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Answer:

B,D

Step-by-step explanation:

waiting for brainlist

Answer:

The correct answer here is B.

Step-by-step explanation:

Took the test

Answer:

Step-by-step explanation:

Let the larger number = 6

Let the smaller number = 4

Ratio

The greater number = 6

The smaller number = 4  

The ratio is 6/4 = 3/2

Isn't that a bit amazing? If you multiply 6 * 4 you get 24. You would think that that is the lowest common multiple. It isn't.

6: 3 * 2

4: 2 * 2

The lowest common multiple is one with 1 three and 2 twos.

Answer:

-45x - 18

Step-by-step explanation:

distributive property

Answer:

x = 18/45 (or, in a decimal, 0.4). Someone correct me if I'm wrong. :)

Step-by-step explanation:

We have to use the distributive property here. That means that you multiply -5x by 9 and -2 by 9. So...

9*-5x = -45x

9*-2 = -18

-45x = -18

Now, divide both sides by 45...

-45x/45 = -18/45

x = 18/45 should be the answer.

a) The recurrence relation for the number of ways to deposit n dollars in the vending machine can be expressed as follows:

W(n) = W(n-1) + W(n-1) + W(n-5)

b) The initial conditions for the recurrence relation are as follows:

W(0) = 1 , W(1) = 2 , W(2) = 4

c) There are 17 ways to deposit $10 for a book of stamps.

a) The recurrence relation for the number of ways to deposit n dollars in the vending machine, where the order matters, can be defined as follows: Let f(n) be the number of ways to deposit n dollars. We can break down the problem into three cases: depositing a $1 coin, depositing a $1 bill, or depositing a $5 bill. The recurrence relation is f(n) = f(n-1) + f(n-1) + f(n-5), where f(n-1) represents the number of ways to deposit n-1 dollars and f(n-5) represents the number of ways to deposit n-5 dollars.

b) The initial conditions for the recurrence relation are as follows: f(0) = 1 (there is one way to deposit $0, which is not depositing anything), f(1) = 1 (one way to deposit $1, using a $1 coin), f(2) = 2 (two ways to deposit $2, either using two $1 coins or a $1 coin and a $1 bill), f(3) = 4 (four ways to deposit $3, using three $1 coins, a $1 coin and a $1 bill, or a $1 coin and a $5 bill).

c) To find the number of ways to deposit $10 for a book of stamps, we use the recurrence relation. Plugging in n = 10, we get f(10) = f(9) + f(9) + f(5). Using the initial conditions and recursively applying the relation, we can calculate f(10) to find the answer.

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The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

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The maximum percentage of the channel bandwidth peak for pure ALOHA occurs at (E) one attempt every 2 slots.

What is ALOHA?

ALOHA is a computer networking term that refers to a random access protocol for wireless networks. It was created in the 1970s at the University of Hawaii. It is a protocol for transmitting packets on a shared communication channel that does not have collision detection. Each packet is transmitted with the hope of successfully reaching the destination without being obstructed by another packet or station in the network.

What is Pure ALOHA?

Pure ALOHA is a type of ALOHA protocol that is unslotted. A station may send frames at any time, and collisions are resolved by detecting them. Pure ALOHA has a maximum throughput of 18%.

When it comes to the question, the maximum percentage of the channel bandwidth peak for pure ALOHA occurs at (E) one attempt every 2 slots.

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Answer:

13

Step-by-step explanation:

70 - 5 = 65

125 - 8 = 117

Find the Greatest Common Divisor of 65 & 117

65 = 5 * 13

117 = 3 * 3 * 13

GCD = 13

13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively

Answer:

B

Step-by-step explanation:

8 weeks, 2 sessions per week =16 sessions

45mins each = 16*45=720 mins = 12 hours

52 /12 =4.33 / hour

B: $4.33/hour is the closest to the charge per hour for the courses. Hence, the correct option is (B)

The total charge for the 8-week course is $52, which means each 45-minute session costs $52 / (2 sessions/week * 8 weeks) = $1.67.

To convert this to an hourly rate, we divide by 45 minutes to get an hourly rate of $1.67 / (45 minutes/hour) = $3.93/hour.

Therefore, the answer closest to this is $4.00/hour, which is not one of the options, but we can see that $3.93/hour is closest to option B: $4.33/hour.

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Step 1: Use slope formula* to determine slope (or m) using both points given.

\(\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2\)

Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.

\(1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b\)

Step 3: Now we can set up an equation of this line in slope-intercept form.

\(y = 2x + 5\)

*Slope formula: y₂ - y₁/x₂ - x₁

**Slope-intercept formula: y = mx + b

Answer:

The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

X+Y=4 -i

2X+Y=3 -ii

solving 1

X=4-Y -iii

equating eq iii and eq ii

2(4-y)+y=3

8-2y+y=3

-1y=3-8

-1y=-5

y=5

equating value of y in eq iii

x=4-y

x=4-5=-1

Answer:

2/3=More

1/4=less

7/8=more

2/6=less

2/4=equal

Step-by-step explanation:

Look at each model that shows each fraction and also look at the denominators and the numerators of each fraction.

#1

Greater than 1/2

#2

Less than 1/2

#3

Greater than 1/2

#4

Less than 1/2

#5

Equal to 1/2

Answer:

B. (-2, 3).........................

Answer:

Rotation turns a shape around a fixed point called the center of rotation. Rotation is an example of a transformation. A transformation is a way of changing the size or position of a shape.

hope this helps!!:)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

If he scored 7 goals with each goal being worth 2 stars, that's 14 stars. If he missed 6 times, then he lost 3 stars. So the answer is 11.

1) the constant value of the pdf on the rectangle is c = 1/2.

2) Pr(X ≥ Y) is equal to 1.

a plane figure with four equal sides and four right angles, especially one with unequal adjacent sides, as opposed to a square

a. To find the constant value of the probability density function (pdf) on the given rectangle, we need to ensure that the pdf integrates to 1 over the entire range of the random variables (X, Y).

The area of the rectangle is given by:

Area = (2 - 0) * (1 - 0) = 2

Since the pdf is constant on the rectangle, let's denote the constant value as c. Then, the integral of the pdf over the rectangle should be equal to 1:

∫∫c dxdy = 1

Integrating with respect to x from 0 to 2, and with respect to y from 0 to 1, we have:

c ∫[0 to 1] ∫[0 to 2] dxdy = 1

c * [2y] [0 to 1] * [x] [0 to 2] = 1

c * (2 - 0) * (1 - 0) = 1

c * 2 = 1

Therefore, the constant value of the pdf on the rectangle is c = 1/2.

b. To find Pr(X ≥ Y), we need to determine the probability that X is greater than or equal to Y. This can be calculated by integrating the joint pdf over the region where X ≥ Y.

Pr(X ≥ Y) = ∫∫[X ≥ Y] f(x, y) dxdy

Since the joint pdf is constant on the rectangle, the region where X ≥ Y is the lower triangular part of the rectangle. Therefore, we need to integrate the pdf over this region.

∫∫[X ≥ Y] f(x, y) dxdy = ∫∫[X ≥ Y] (1/2) dxdy

To set up the limits of integration, we can observe that for any given y value, x can vary from y to 2. Similarly, y can vary from 0 to 1. Thus, the integral becomes:

∫[0 to 1] ∫[y to 2] (1/2) dxdy

Integrating with respect to x first, we get:

∫[0 to 1] [(1/2)(x)] [y to 2] dy

= ∫[0 to 1] [(x/2) - (y/2)] dy

Evaluating this integral, we have:

= \([(x/2)y - (y^2/2)] [0 to 1]\)

= [(x/2) - (1/2)] - [0 - 0]

= (x/2) - 1/2

Substituting the limits of integration, we find:

Pr(X ≥ Y) = [(2/2) - 1/2] - [(0/2) - 1/2]

= 1/2 - (-1/2)

= 1/2 + 1/2

= 1

Therefore, Pr(X ≥ Y) is equal to 1.

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Answer:

Option B is the correct option.

Step-by-step explanation:

\( \sf{ \frac{3}{5} = \frac{x - 1}{8} }\)

Apply cross product property

⇒\( \sf{ 5(x - 1) = 3 \times 8}\)

Distribute 5 through the parentheses

⇒\( \sf{5x - 5 = 3 \times 8}\)

Multiply the numbers

⇒\( \sf{5x - 5 = 24}\)

Move 5 to right hand side and change it's sign

⇒\( \sf{5x = 24 + 5}\)

Add the numbers

⇒\( \sf{5x = 29}\)

Divide both sides of the equation by 5

⇒\( \sf{ \frac{5x}{5} = \frac{29}{5} }\)

⇒\( \sf{x = \frac{29}{5} }\)

Hope I helped!

Best regards!!

Answer:

I would say -F=0.4

Step-by-step explanation:

if F=-0.4 and -F is the opposite of F then the opposite of -0.4 is 0.4

Answer:

There are 14 marbles in each red jar and 2 marbles in the blue jar

Step-by-step explanation:

There are two red jars of marbles and one blue jar of marbles.

Let the number of marbles in the red jar be x.

Let the number of marbles in the blue jar be y.

There are 30 marbles in total. This means that:

2x + y = 30 _____________ (1)

The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. This means that:

x - y = 12 ______________(2)

We have a system of simultaneous equations:

2x + y = 30 _____________ (1)

x - y = 12 ______________(2)

Add them together:

3x = 42

=> x = 42/3= 14

Put the value of x in (2)

14 - y = 12

=> y = 14 - 12 = 2

Therefore, there are 14 marbles in each red jar and 2 marbles in the blue jar.

We are given that:

Circumference = 19.4 cm

Formula:

2πr = Circumference

Rewrite the equation:

The "r" variable represents the radius of the circle. Thus, we need to isolate it on one side to determine the radius. This can be done with the four mathematical operations (+  -  ×  ÷). Since the "÷" is included, we can divide both sides by 2π to isolate the "r" variable.

Divide both sides by 2π:

Substitute the radius as 22/7:

The required, there is no highest common factor between 4454 and 121j²k. None of the options are correct.

The highest common factor (HCF) of two or more numbers is the largest number that divides all of the numbers exactly.

Here,
To find the greatest common factor (GCF) of 4454 and 121j²k, we need to factor both numbers into their prime factors and then identify the common factors.

Since 4454 is an even number and 121 is an odd number so there is no prime highest common factor between the given number.

Thus, none of the options are correct.

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Answer:

#565 is the best answer I can give you

Answer:

b) 2x=9=>x=9/2=4.5

c)x/5=7=>x=5×7=35

d)x/2=6.5=>x=6.5×2=13

Answer:

1. Just do 36-9=27 so 36-27=9. The answer would be 27

Step-by-step explanation:

Answer:

4)

Plug it in and Just subtract 36 with 9.

You get 27.

So, 36 - 27 = 9

5)

Part A: 6/30

Part B: It changes because since another space was occupied there are now 5/30 parking spaces.

:)