if 40% is converted to fraction and decimal it would be listed as
A. 1/4. 0.4. 40%
B. 4/10 0.04. 40%
C. 4/10. 0.4. 40%
D. 1/4. 0.04. 40%​

Answer:

2. 7 parts are not green. 3. There both equal amounts.

Step-by-step explanation:

Answer:

Orange:

1/4 ÷ 4 = 1/16

1/4 + 1/16 = 5/16

Blue:

1/16 + 1/5 = 21/80

Yellow:

1/4 + 1/16 = 5/16

Green:

1 - 1/5 = 4/5

1/16 + 4/5 = 69/80

__________________

1 - 69/80 = 11/80

__________________

5/16 - 21/80 = 1/20

Answer:

4

Step-by-step explanation:

Answer:

0.4

hope this is usefull to you

Answer:

No

Step-by-step explanation:

Some rhombus doesn’t have all 90 degrees angles and that is an requirement for rectangles.

The theorem can be used to readily show the corollary because, according to its statement, it considerably depends on it. Consequently, the assertion is accurate.

The given statement is True.

The term "corollary" refers to an outcome that follows logically from another action. You could claim that your rediscovered passion of reading is a corollary to the recent opening of a bookstore in your area. The term corollary describes the result of an action, such as the need to study more as a corollary to receiving a poor grade.

A theorem states that two angles that add up to 180° and form a straight line are regarded as "supplementary."

A corollary of this is known as the "Vertical Angle Theorem," which asserts that where two lines intersect, their angles across from each other are equal (in the diagram, a=c and b=d).

The theorem can be used to readily show the corollary because, according to its statement, it considerably depends on it. Consequently, the assertion is accurate.

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Answer:

a=28m^2

Step-by-step explanation:

Given:

l=14m

w=200cm

Required

a=?

w in meters

Formula:

1m=100cm

b=200cm---criss cross it

b*100cm/100cm=1m*200cm/100cm

b=2m

a=l*w

a=14m*2m

a=28m^2

Answer:

1200 ml

Step-by-step explanation:

The ratio of jug : cup = 4 : 1

There is 4 times as much water in the jug as there is in the cup , then

water in jug = 4 × 300 ml = 1200 ml

Answer:

turning point = (- 2, - 7 )

Step-by-step explanation:

the vertex form of a parabola is

y = a(x - h)² + k

where (h, k ) are the coordinates of the turning point ( vertex) and a is a multiplier.

given

y = x² + 4x - 3

to complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 4x

y = x² + 2(2)x + 4 - 4 - 3

y = (x + 2)² - 7 ← in vertex form

with turning point (- 2, - 7 )

Since the cell population doubles at constant intervals, we can use the formula for exponential growth: N = N0 * 2^(t/k), where N0 is the initial population, t is the time elapsed, and k is the doubling time.

Since we are told that the population will double four hours from now, and since we are not given the initial population or the doubling time, we cannot determine the final population when the bacteria will be destroyed.

As the division two hours ago and the division just now, the population quadrupled that is two doubling periods, so each doubling period is about an hour.

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The diagonal measurement as √5625 ft, which is approximately 75 feet, the correct answer is B. 75 ft 0 in.

The diagonal measurement of the rectangular slab on grade can be found using the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the length and width of the slab.

To calculate the diagonal measurement, we can apply the Pythagorean theorem:

Diagonal² = Length² + Width²

Substituting the given values, we have:

Diagonal² = (60 ft 0 in.)² + (45 ft 0 in.)²

Calculating this expression, we find:

Diagonal² = 3600 ft² + 2025 ft²

Diagonal² = 5625 ft²

Taking the square root of both sides, we obtain:

Diagonal = √5625 ft

Diagonal ≈ 75 ft

Therefore, the diagonal measurement of the rectangular slab on grade is approximately 75 feet.

To find the diagonal measurement of the rectangular slab on grade, we can use the Pythagorean theorem,

which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).

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Step-by-step explanation:

Permutations:

nP r = n!/(n + r)!

Combinations:

nCr = n!/(n - r)!r!

c - combination

p - permutations

Since in both the problems they are looking for different groups, it is a combination problem. the order in which the people were selected in each group is not important, what is required are different groups.

A.

n = 51

r = 3

51C 3 = 51! / ((51 - 3) ×3!)

51C3 = 20 825 groups

OR:

\(c = \frac{51}{3} \times \frac{50}{2} \times 49\)

\(c = 20825\)

B.

\(c = \frac{14}{4} \times \frac{13}{3} \times \frac{12}{2} \times 11\)

\(c = 1001\)

The throw of the dice or the drawing of a card is known as random behavior.

Random behavior refers to events that occur by chance, without any predictability or pattern. These events cannot be influenced or controlled, and their outcomes are determined by the laws of probability. In games such as dice and card games, the outcomes are determined by random variables, such as the position of the dice or the shuffle of the deck.

Random behavior can also occur in other contexts, such as weather patterns or the stock market, where events are subject to unpredictable fluctuations. Understanding random behavior is important in many fields, including mathematics, statistics, and economics, as it can help us make informed decisions based on the probability of different outcomes.

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The vertices of the ellipse are (-4,2) and (4,2), since these points lie on the major axis of the ellipse which is horizontal.

Two of the focuses given in the issue, (−4,2) and (4,2), are both situated on a similar even line. This implies that the significant hub of the oval should be level. Two different focuses given in the issue, (2,2) and (- 9,2), are likewise situated on this level line. Thusly, the focal point of the oval is the midpoint between the focuses (- 4,2) and (4,2), which is (0,2).

The other two focuses given in the issue, (−5,5) and (−5,−1), are situated on an upward line that goes through the focal point of the oval. This implies that the minor pivot of the oval should be vertical.

The vertices of the oval are the places where the significant hub meets the circle. Since the significant hub goes through the focuses (−4,2) and (4,2), the vertices of the oval are (- 4,2) and (4,2).

In this way, the vertices of the oval are (- 4,2) and (4,2).

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These lines will be parallel to the initial line and will intersect the final velocity line at the corresponding values (122 for the lower estimate and 298 for the upper estimate)

To sketch the velocity against time, you can take the following steps:

First, calculate the acceleration using the given data by using the formula;

acceleration = (final velocity - initial velocity)/time

Where; Initial velocity is the velocity before applying the brakes

Final velocity is the velocity at which the car comes to stop

Time is the time it takes to stop the car (6 seconds in this case)

Now, calculate the lower and upper estimates using the formula;

Lower estimate = initial velocity + (acceleration x time)

Upper estimate = initial velocity + (2 x acceleration x time)

Sketch the graph using the following steps;

On the vertical axis, plot the velocity of the car

On the horizontal axis, plot the time

Start from the initial velocity and draw a straight line with the calculated acceleration until the end of the time (6 seconds)This straight line will give you the final velocity (0 in this case)

Now, draw two more lines, one with the lower estimate and the other with the upper estimate

Finally, label the axes and the lines with their corresponding values.'

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Answer:

i think its number 2 hope its correct

Answer:

Step-by-step explanation:

If I have 90 pounds shared between A, B, and C, then in a mathematical equation,

A + B + C = 90

However, we have way too many unknowns.

We are told that the ratio of A to B is 1 to 2, or

\(\frac{A}{B} =\frac{1}{2}\) and cross multiplying,

2A = B or \(A=\frac{1}{2}B\)

We are also told that the ratio of B to C is 4 to 3, or

\(\frac{B}{C} =\frac{4}{3}\) and cross multiplying,

3B = 4C or \(C=\frac{3}{4}B\)

Now we have everything in terms of B, so we will rewrite it like that:

\(\frac{1}{2}B+B+\frac{3}{4}B=90\), and

\(\frac{9}{4}B=90\) and

9B = 360 so

B = 40. If B is 40 and A is half of B, then A is 20.

Answer:

$9.98 :)

Step-by-step explanation:

just multiply the tax (0.085) by the price ($9.20) then add the initial price ($9.20) to that.

To find the Transition Graph (TG) for the language of all words with an even number of 'a's and an even number of 'b's, we can follow these steps:

Step 1: Define the alphabet:

Let the alphabet Σ be {a, b}.

Step 2: Define the states:

We need states to keep track of the parity (even or odd) of 'a's and 'b's encountered so far. Let's define the states as follows:

State A: Even number of 'a's, even number of 'b's

State B: Odd number of 'a's, even number of 'b's

State C: Even number of 'a's, odd number of 'b's

State D: Odd number of 'a's, odd number of 'b's

Step 3: Define the transitions:

For each state and input symbol, we determine the next state. The transitions are as follows:

From state A:

On input 'a': Transition to state B

On input 'b': Transition to state C

From state B:

On input 'a': Transition to state A

On input 'b': Transition to state D

From state C:

On input 'a': Transition to state D

On input 'b': Transition to state A

From state D:

On input 'a': Transition to state C

On input 'b': Transition to state B

Step 4: Determine the initial state and accepting state(s):

Initial state: State A

Accepting state: State A

Step 5: Draw the Transition Graph:

css

        a         b

(A) -----> (B) -----> (D)

|         ^         ^

|         |         |

|  b      |  a      |  a

v         |         |

(C) <----- (A) <----- (D)

|  b      ^         ^

|         |         |

|         |  a      |  b

v         |         |

(D) -----> (C) -----> (B)

|         ^         ^

|         |         |

|  a      |  b      |  b

v         |         |

(A) <----- (C) <----- (A)

Now, let's find the regular expression using Kleene's theorem. We can apply the algorithm to obtain a regular expression from the Transition Graph.

Step 1: Assign variables to each state:

State A: A

State B: B

State C: C

State D: D

Step 2: Write the equations for each state transition:

A = aB + bC

B = aA + bD

C = aD + bA

D = aC + bB

Step 3: Solve the equations to eliminate the variables:

Substituting the equations into each other, we get:

A = a(aA + bD) + b(aD + bA)

Simplifying the equation:

A = aaA + abD + abD + bbA

A - aaA - bbA = 2abD

A(1 - aa - bb) = 2abD

A = 2abD / (1 - aa - bb)

Similarly, we can solve for the other variables:

B = aA + bD = a(2abD / (1 - aa - bb)) + bD

C = aD + bA = aD + b(2abD / (1 - aa - bb))

D = aC + bB = a(2abD / (1 - aa - bb)) + b(aA + bD)

Step 4: Simplify the equations:

A = 2abD / (1 - aa - bb)

B = 2a²b²D / (1 - aa - bb) + bD

C = 2a²b²D / (1 - aa - bb) + b²(2abD / (1 - aa - bb))

D = a²(2abD / (1 - aa - bb)) + b²D

Step 5: Substitute the equations into each other to eliminate the variable D:

A = 2ab(a²(2abD / (1 - aa - bb)) + b²D) / (1 - aa - bb)

Simplifying the equation:

A(1 - aa - bb) = 4a⁴b³D + 4a³b³D + 2a²bD + 2ab²D

A - 4a⁴b³D - 4a³b³D - 2a²bD - 2ab²D = 0

A - 4a³b³D - 4a²b²D - 2abD(a + b) = 0

Factoring out D:

A - D(4a³b³ + 4a²b² + 2ab(a + b)) = 0

D = A / (4a³b³ + 4a²b² + 2ab(a + b))

Using similar substitutions, we can solve for the other variables.

Therefore, the regular expression for the language of all words with an even number of 'a's and an even number of 'b's is:

A / (4a³b³ + 4a²b² + 2ab(a + b))

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Answer:

The annual rate of interest on the musician's loan for the trumpet is approximately 12%.

Step-by-step explanation:

To find the annual rate of interest, we can rearrange the formula for simple interest, I = Prt, to solve for the interest rate (r).

Given that the principal (P) is $2,200, the time (t) is 3 years, and the total interest (I) is $792, we can substitute these values into the formula:

792 = 2200 * r * 3

To solve for r, divide both sides of the equation by (2200 * 3):

r = 792 / (2200 * 3)

r ≈ 0.12

To express the interest rate as a percentage, we multiply r by 100:

r * 100 ≈ 0.12 * 100 ≈ 12

Therefore, the annual rate of interest on the musician's loan for the trumpet is approximately 12%.

Answer: apple pie=5

blackberry pie=10

Step-by-step explanation:

apple pies=a

blackberry pies=b

Perry sold:

9a+12b=165

Jack sold:

8a+3b=70

we have a system of equations

9a+12b=165

9a=165-12b

a=(165-12b)/9

replace in the second

8(165-12b)/9 +3b=70

after we do the multiplication we will get

1320-96b+27b=630

69b=690

b=10 dollars

a=(165-120)/9=45/9=5 dollars

Answer: D. \(\dfrac5{12}\)

Step-by-step explanation:

Fraction of granola bar Owen ate = \(\dfrac13\)

Fraction of bar Bella ate = \(\dfrac14\)

Whole bar is considered as 1.

Part of bar left uneaten = \(1-\dfrac13-\dfrac14=\dfrac{12-4-3}{12}\)

\(=\dfrac{5}{12}\)

Owen and Bella left \(\dfrac5{12}\) of the bar uneaten.

Hence, the correct option is D. \(\dfrac5{12}\)

The study is a randomized controlled trial (RCT) study.

In an RCT study, participants are randomly assigned to either the treatment group or the control group. The treatment group receives the intervention (in this case, one of the two surgery procedures) being studied, while the control group does not receive the intervention.

The participants are then followed to observe the outcome of interest (in this case, the hours to recovery after surgery).

The goal of an RCT study is to determine if the intervention has an effect on the outcome. By randomly assigning participants to the treatment and control groups, any observed differences in the outcome between the two groups can be attributed to the intervention.

This helps to control for other factors that may influence the outcome and reduces the risk of bias in the results.

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Answer:

i the anserw is b than c

Step-by-step explanation:

Answer:

0.0768 or 7.68%

Step-by-step explanation:

(5 choose 4)*0.4^4*0.6=0.0768

Answer:

median = 3 pieces

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order. If there is not an exact middle value then the median is the average of the values either side of the middle.

Given the number of pieces then

2   2   4   4 ← pieces of cheese in ascending order

       ↑ middle is between 2 and 4, thus

median = \(\frac{2+4}{2}\) = \(\frac{6}{2}\) = 3

(a) To determine the rate at which d-events occur, we need to find the average time between consecutive d-events. In a Poisson process, the inter-arrival times between events follow an exponential distribution.

In this case, the average time between consecutive d-events is equal to the reciprocal of the rate parameter λ. So, the rate at which d-events occur is given by λ_d = 1 / average time between consecutive d-events.

b) The proportion of d-events can be calculated by dividing the number of d-events by the total number of events. In this case, we need to count the number of d-events and the total number of events. Once we have these values, we can compute the proportion of d-events by dividing the number of d-events by the total number of events.It's important to note that the rate λ and the proportion of d-events will depend on the specific data or information provided in the problem.

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Answer:

2x = 250. x = 125

Step-by-step explanation:

RULE: (# of sides - 2 x 180)

6-2=4x180=720

720-60-65-100-120= 375

2x + x = 3x

3x = 375

x = 125

The minimum value of the function is ≈ 82.014 and the maximum value ≈ 89.778.

To find the minimum and maximum values of the function f(x, y) = x² + 2y² subject to the constraint 12 - 216y = 15648, we can use the method of Lagrange multipliers. Let L(x, y, λ) = x² + 2y² + λ(12 - 216y - 15648), where λ is the Lagrange multiplier. Then, we need to find the critical points of L:

From the first equation, we get x = 0. Substituting this into the second equation, we get y = 54λ. Substituting x = 0 and y = 54λ into the third equation, we get λ = -7 1/108. Therefore, the critical point is (0, -71/36).

To check if this critical point is a maximum or minimum, we need to find the Hessian matrix of L:

The eigenvalues of H are λ1 = -232, λ2 = -24, λ3 = 150, so H is negative definite at the critical point. Therefore, the critical point is a maximum.

To find the minimum value, we need to consider the boundary of the constraint. Solving for y in the constraint, we get;

Substituting each value of y into the function f(x, y), we get;

Therefore, the minimum value of f(x, y) subject to the constraint is -216 ( -71/216 + 13/18√3)² + 144, and the maximum value is f(0, -71/36). Converting the square root to a decimal, we get the minimum value ≈ 82.014, and the maximum value ≈ 89.778.

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Answer:

25%

Step-by-step explanation:

The answer is 25%

hope that is right..