These are some more questions

Answer:

This will be your answer. I hope this helps, good luck! :)

Answer:

5/11

Step-by-step explanation:

1 5/6= 11/6

5/6 ÷ 11/6

5/6×6/11

30/66 = 5/11

Answer:

d, you go up for and over 3

The volume of cuboidal blocks B and D is 24 cubic units each. Therefore, option D is the correct answer.

The formula to find the volume of a cuboidal block is l×b×h.

The dimensions of cuboidal block A are length=6 units, breadth=2 units and height=1 units

Now, the volume of a cuboidal block A=6×2×1=12 cubic units.

The dimensions of cuboidal block B are length=4 units, breadth=2 units and height=3 units

Now, the volume of a cuboidal block B=4×2×3=24 cubic units.

The dimensions of cuboidal block C are length=5 units, breadth=3 units and height=3 units

Now, the volume of a cuboidal block C=5×3×3=45 cubic units.

The dimensions of cuboidal block D are length=6 units, breadth=2 units and height=2 units

Now, the volume of a cuboidal block D=6×2×2=24 cubic units.

The volume of cuboidal blocks B and D is 24 cubic units each. Therefore, option D is the correct answer.

To learn more about the volume of cuboidal blocks visit:

https://brainly.com/question/23118276.

#SPJ2

Answer:

2x+10=20 so x=5

Step-by-step explanation:

To implement heap-delete operation in a max-heap, we need to remove the maximum element from the heap. Here are the steps to achieve that:

Replace the root node (maximum element) with the last element of the heap.

Remove the last element from the heap.

Check if the heap property is violated. If yes, swap the root node with the larger of its two children. Repeat until the heap property is restored.

This algorithm runs in O(lg n) time because each swap operation reduces the distance between the node and its correct position in the heap by a factor of at least 2. Therefore, at most O(lg n) swaps are required to restore the heap property.

Let's look at the worst-case scenario where we have to swap the root node all the way down to the leaf level. In this case, we need to perform log_2 n swaps. Each swap takes constant time, so the total time complexity of the algorithm is O(lg n). Therefore, the implementation of heap-delete operation runs in O(lg n) time for an n-element max-heap.

For more questions like node visit the link below:

https://brainly.com/question/30478234

#SPJ11

The basic present value equation includes the present value, future value, discount rate, and the life of the investment.

The basic present value equation is a financial concept used to determine the value of an investment or cash flow in today's dollars. It involves four key components

1. Present value, This represents the current worth of an investment or cash flow. It takes into account the time value of money, which means that a dollar received in the future is worth less than a dollar received today. The present value is calculated by discounting future cash flows using an appropriate discount rate.

2. Future value, This refers to the expected value of an investment or cash flow at a future point in time. It represents the amount of money that an investment will grow to over a specific period, taking into consideration factors such as interest or investment returns.

3. Discount rate, The discount rate is the rate of return or interest rate used to determine the present value of future cash flows. It reflects the opportunity cost of investing in a particular investment or project. The discount rate takes into account factors such as the riskiness of the investment, inflation, and alternative investment opportunities.

4. Life of the investment, This represents the duration or time period over which the investment or cash flow will occur. It is important to consider the length of time involved as it affects the magnitude and timing of cash flows, which in turn impacts the present value calculation.

By considering these four components - present value, future value, discount rate, and the life of the investment - the basic present value equation allows individuals and businesses to assess the current worth of future cash flows and make informed financial decisions.

Learn more about basic present value

brainly.com/question/32311176

#SPJ11

Answer:

x > 1, x5 < - 2/5

Step-by-step explanation:

Answer:

the answer is 260

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

Using the z-distribution, as we are working with a proportion, it is found that the margin of error for a 95% confidence interval would be of 0.0008.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

The margin of error is given by:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

Considering the 99% confidence interval, which has z = 2.575, the estimate and the sample size are given by:

\(\pi = \frac{0.67 + 0.74}{2} = 0.705\)

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.74 - 0.705 = 2.575\sqrt{\frac{0.705(0.295)}{n}}\)

\(0.035 = 2.575\sqrt{\frac{0.705(0.295)}{n}}\)

\(0.035\sqrt{n} = 2.575\sqrt{0.705(0.295)}\)

\(\sqrt{n} = \frac{2.575\sqrt{0.705(0.295)}}{0.035}\)

\((\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.705(0.295)}}{0.035}\right)^2\)

\(n = 1126\)

Hence, the margin of error is given by:

\(M = 1.96\sqrt{\frac{0.705(0.295)}{1126}} = 0.0008\)

More can be learned about the z-distribution at https://brainly.com/question/25890103

The value of the place occupied by the digit 2 (hundreds place) is 10 times greater than the value of the place occupied by the digit 5 (thousandths place).

To determine the value of the place occupied by the digit 2 compared to the value of the place occupied by the digit 5 in the number 823.4956, we need to examine the place value of each digit.

In the given number, 823.4956, the digit 2 is in the hundreds place, while the digit 5 is in the thousandths place.

The place value of a digit is determined by its position relative to the decimal point. Moving one place to the left or right of the decimal point represents a tenfold increase or decrease in value, respectively.

Therefore, the value of the place occupied by the digit 2 (hundreds place) is 10 times greater than the value of the place occupied by the digit 5 (thousandths place).

In other words, the digit 2 represents a value that is 10 times greater than the value represented by the digit 5 in the given number.

Hence, the value of the place occupied by the digit 2 is 10 times as great as the value of the place occupied by the digit 5.

for more such question on value visit

https://brainly.com/question/843074

#SPJ8

We conclude  the hypothesis test as Alternative Hypothesis if the data would be very unusual if the original assumption about our parameter were correct.

Learn more about Alternative hypothesis here: https://brainly.com/question/17173491

#SPJ4

Answer:

10

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

see above

Answer:

10

Step-by-step explanation:

10 and 8 would be in between 10 and 9 hope this can help

Prove that :

\( \sf \: { |\vec{A} + \vec{B}| }^{2} - { |\vec{A} - \vec{B}| }^{2} = 4 \: \vec{A} \: . \: \vec{B}\)

\( \green{\large\underline{\sf{Solution-}}}\)

Consider, LHS

\(\rm :\longmapsto\: { |\vec{A} + \vec{B}| }^{2} - { |\vec{A} - \vec{B}| }^{2} \)

We know,

\(\rm :\longmapsto\:\boxed{\tt{ |\vec{x}| ^{2} = \vec{x}.\vec{x}}}\)

So, using this, we get

\(\rm \:  =  \: (\vec{A} + \vec{B}).(\vec{A} + \vec{B}) - (\vec{A} - \vec{B}).(\vec{A} - \vec{B})\)

\(\rm \:  =  \:[ \vec{A}.\vec{A} + \vec{A}.\vec{B} + \vec{B}.\vec{A} + \vec{B}.\vec{B}] - [\vec{A}.\vec{A} - \vec{A}.\vec{B} - \vec{B}.\vec{A} + \vec{B}.\vec{B}]\)

\(\rm \:  =  \: [ { |\vec{A}| }^{2} + \vec{A}.\vec{B} + \vec{A}.\vec{B} + { |\vec{B}| }^{2}] - [ { |\vec{A}| }^{2} - \vec{A}.\vec{B} - \vec{A}.\vec{B} + { |\vec{B}| }^{2}]\)

\(\red{ \bigg\{  \sf \: \because \: \vec{A}.\vec{B} = \vec{B}.\vec{A} \bigg\}}\)

\(\rm \:  =  \: [ { |\vec{A}| }^{2} + 2\vec{A}.\vec{B} + { |\vec{B}| }^{2}] - [ { |\vec{A}| }^{2} -2 \vec{A}.\vec{B} + { |\vec{B}| }^{2}]\)

\(\rm \:  =  \: { |\vec{A}| }^{2} + 2\vec{A}.\vec{B} + { |\vec{B}| }^{2}- [{ |\vec{A}| }^{2} + 2 \vec{A}.\vec{B} - { |\vec{B}| }^{2}\)

\(\rm \:  =  \: 4 \: \vec{A}.\vec{B}\)

Hence,

\( \sf \:\boxed{\tt{ \: \: { |\vec{A} + \vec{B}| }^{2} - { |\vec{A} - \vec{B}| }^{2} = 4 \: \vec{A} \: . \: \vec{B} \: \: }}\)

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

\(\boxed{\tt{ \vec{A}.\vec{B} = \vec{B}.\vec{A}}}\)

\(\boxed{\tt{ \vec{A}.\vec{A} = { |\vec{A}| }^{2} }}\)

\(\boxed{\tt{ \vec{A} \times \vec{B} = - \vec{B} \times \vec{A}}}\)

\(\boxed{\tt{ \vec{A} \times \vec{A} = 0}}\)

\(\boxed{\tt{ \vec{A}.\vec{B} = 0 \: \rm\implies \:\vec{A} \: \perp \: \vec{B}}}\)

\(\boxed{\tt{ \vec{A} \times \vec{B} = 0 \: \rm\implies \:\vec{A} \: \parallel \: \vec{B}}}\)

The correct answer is: 2. y = 26

To solve for the dependent variable (y), we need to use the given information that the individual wants to have two hot dogs for each guest and 6 extra hot dogs for potential friends.

If the independent variable is 10, then the total number of guests would be 10.

So, the equation to find the number of hot dogs needed (y) would be:

y = (2 hot dogs per guest) x 10 guests + 6 extra hot dogs

y = 20 + 6

y = 26

.
An individual is hosting a cookout for the kickball team and wants to have two hot dogs for each guest (x), and 6 extra hot dogs in case some teammates bring friends. The independent variable (x) is 10. To solve for the dependent variable (y), we use the equation:

y = 2x + 6

Now, substitute the value of x:

y = 2(10) + 6

y = 20 + 6

y = 26

Know more about dependent variable here:

https://brainly.com/question/29430246

#SPJ11

Answer:

\(x = 1.3788\)

Step-by-step explanation:

Use the sin rule

\(Sin (50) = \frac{Q}{H} \\0.7660=\frac{x}{1.8} \\x=0.7660 *1.8\\x = 1.3788\)

Hope this helps you..

Let me know if you have any other questions :-)

Answer:

  C.  17 units

Step-by-step explanation:

You want the hypotenuse of a right triangle with legs 8 and 15.

The Pythagorean theorem tells you the relation between the sides of a right triangle is ...

  c² = a² +b² . . . . . . where c is the hypotenuse, and a, b are the legs

  c² = 8² +15² = 64 +225 = 289

  c = √289 = 17 . . . . units

The missing side length is 17 units.

__

Additional comment

A set of integers that satisfies the Pythagorean theorem is called a "Pythagorean triple." Perhaps the first one you run across is {3, 4, 5}. Other triples commonly seen are {5, 12, 13}, and {7, 24, 25}. This one, {8, 15, 17} also shows up in algebra and trig problems. It can be worthwhile to remember a few of these.

Their multiples are also seen. For example, {6, 8, 10} is the {3, 4, 5} triple times 2.

Answer:

f. 85

Step-by-step explanation:

All triangles add up to 180 degrees

BCE=25

then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60

isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)

we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees

since 70 (angle DBC) + 25 (Angel BCA)= 95

we just subtrract 95 from 180 to get the answer 85 (:

Answer:

85 degrees

Step-by-step explanation:

if Δ ABD is equilateral  then the 3 sides and three angles are equal

sum of angles of Δ=180

180/3=60 degrees (∠A,∠B,∠D)

ΔBCA is isosceles then the two angles A and C are equal = 25

∠B=180-50=130

∠B in Δ BEC=130-60=70

∠E+∠B+∠C in Δ BEC=180

∠E= 180-70-25=85 degrees

Answer:

o.593

Step-by-step explanation:

The required value of the decimal equivalent of the given fraction is 0.592.

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

If the fractions have the same denominators then their numerators are added keeping the denominators as the same.

For fractions with different denominators the LCM of the denominators are taken then that is divided by the numerators of each fraction and the number obtained is multiplied to each of them to get the equivalent fraction.

The given fraction is 16/27.

In order to convert it into decimal divide 16 by 27 upto 3 decimal places to obtain,

16/27 = 0.592

Hence, the given fraction 16/27 can be written as decimal as 0.592.

To know more about fraction click on,

https://brainly.com/question/10354322

#SPJ2

The building have to rent 14 offices with area 500 ft² each so that the total acquired space is  7000 ft².

What is division?

One of the four fundamental mathematical operations—the others being addition, subtraction, and multiplication—is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

The area of one office is 500 ft².

The total space acquired by the office building is 7000 ft².

To find the number of offices the building is renting, use the formula of division -

Number of office = Total space rented / Area of one office

Let the value of number of office rented be x.

Substituting the values in the equation -

x = 7000/500

x = 14

Therefore, the number of offices being rented is 14.

To learn more about division from the given link

https://brainly.com/question/25289437

#SPJ1

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To know more about polar form visit

https://brainly.com/question/30824428

#SPJ11

The appropriate choice about the display technique in case of two continuous variables is the scatter plot.

A scatter plot is a graph used to plot two variables, usually as the horizontal and vertical axis, to check for a correlation or connection between them.What is a variable?A variable is a statistical concept that is used to measure the characteristics of a population or a sample.

A variable is an attribute or a feature of an object, event, or person that can be quantified or described numerically. The pie chart is appropriate when you want to display a distribution of a continuous variable. But this technique is not appropriate in this case because you cannot see the distribution of a single continuous variable using a pie chart. A pie chart is best suited for showing percentages of a whole.C.E. A scatter plot is a graphical representation of the relationship between two variables. This technique is appropriate when you want to display two continuous variables. A treemap is best suited for showing the distribution of one categorical variable. F. A pie chart is appropriate when you want to display the distribution of a single continuous variable. A contingency table is appropriate when you want to display the frequency distribution of one categorical and one continuous variable.

To know more about variables visit :

https://brainly.com/question/29521826

#SPJ11

When a coal fired Power Plant, in rural countryside, is emitting SO₂ at the rate of 1500gm/s, from an effective stack height of 120 m, the estimated ground level concentration of SO₂ at the specified location is 26.39 µg/\(m^3\), rounded to two decimal places.

Industrial Source Complex (ISC) model will be used to estimate the ground level concentration of SO₂

Given parameters for the calculation:

Emission rate of SO₂ = 1500 gm/s

Effective stack height = 120 m

Distance downwind = 1.5 km

Distance perpendicular to wind direction = 100 m

Wind speed at 10 m = 4 m/s

Sampling time = 10 minutes

Atmospheric stability = Neutral

The first step is to calculate the effective stack height, and it is given as

He = H + 0.67ΔH

where H is the physical stack height and ΔH is the vertical dispersion height.

Vertical dispersion height is given as

\(\Delta H = 0.4H (1 + 0.0001UH)^(2/3)\)

where U is the wind speed at the stack height (120 m), and H is the physical stack height.

Plugin the given values

U = (4 + 0.04 × 120) m/s = 8.8 m/s

ΔH = 0.4 × 120 (1 + 0.0001 × 8.8 × 120\()^(2/3)\) = 92.6 m

He = 120 + 0.67 × 92.6 = 181.96 m

The next thing is to calculate the Pasquill-Gifford (P-G) stability class

Using the ISC model with stability class C, we can estimate the ground level concentration of SO₂ using the following formula

C = (E × Q × F × G) / (2πUσyσz)

where

C is the ground level concentration of SO₂ in µg/\(m^3\), E is the emission rate in g/s,

Q is the effective stack height in m,

F is the downwash factor,

G is the Gaussian dispersion coefficient,

U is the wind speed in m/s, and

σy and σz are the lateral and vertical dispersion coefficients in m, respectively.

Downwash factor F = 0.95

Gaussian dispersion coefficient G = 0.25

The lateral and vertical dispersion coefficients can be estimated as

\(\sigma y = 0.09 * x^(2/3) + 0.67 * x / (H + 0.67\Delta H)\\\sigma z = 0.16 * x^(2/3) + 0.67 * x / (H + 0.67\Delta H)\)

where x is the distance downwind from the source in km.

Plug in the given values

x = 1.5 km

\(\sigma y = 0.09 * (1.5)^(2/3) + 0.67 * 1.5 / (120 + 0.67 * 92.6) = 0.06 m\\\sigma z = 0.16 * (1.5)^(2/3) + 0.67 * 1.5 / (120 + 0.67 * 92.6) = 0.12 m\)

Substitute the calculated values in the formula for C

\(C = (1500 * 181.96 * 0.95 * 0.25) / (2\pi * 4 * 0.06 * 0.12) = 26.39 \mu g/m^3\)

Thus, the estimated ground level concentration of SO₂ at the specified location is 26.39 µg/\(m^3\), rounded to two decimal places.

Learn more on Power Plant on https://brainly.com/question/13960354

#SPJ4