A lawn is shaped like a parallelogram with a base of 30 feet and a height of 12 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass?

Exp prob (red)   = 24 / 60  =  4 / 10   = 2/5

Theoretical prob (red)  = (1/2)

Exp prob (blue)   =  14 / 60  =  7 / 30

Theoretical prob (blue)  = 1/6

Exp prob ( yellow)  =  22/ 60  = 11/30

Theoretical prob ( yellow)  =   2/6  =  1/3

Answer:

Experimental probability:experimental probability is when you actually experiment to see the results of a real life problemExample:There is a coin and you decide to toss it to see what were the results. Say you toss it 10 times but it lads on tails only 3 times but head on 7 times. So the experimental probability for tails is 3/10 and for heads it is 7/10.That is what experimental probability is.Mathematically:number of favorable trialstotal number of trialsTheoretical probability:theoretical probability is when you decide what will probably happen with the information given about the topicExample:You have a bag full of blocks. There are 3 red, 6 yellow, 1 pink, and 10 blue. The theoretical probability is this:(P)red = 3/20 (P)yelllow = 6/20 (P) pink = 1/20 (P)blue = 10/20Mathematically:number of favorable outcomesnumber of possible outcomes

Step-by-step explanation:

Answer:

n=20

Step-by-step explanation:

1/2n+6=16

1/2n=16-6

1/2n=10

n=10x2

n=20

When calculating the total area of this unknown figure, you should use (π - r²)/4 for the area of both the semicircle (half circle) and the larger square.

By critically observing this unknown figure, we can logically deduce that it comprises a semicircle, squares, a rectangle and a triangle. Thus, its total area should be calculated by adding the area of each of the geometric figures together.

Total area = A₁ + A₂ + A₃ + A₄

However, you should take note that the diameter of the semicircle (half circle) is equal to the side length of the larger square.

Area of a semicircle = πr²/4

Thus, the total area of both the semicircle (half circle) and the larger square is given by:

Area = πr²/4 - d²

Note: d = 2r

Area = πr²/4 - (2r)²

Area = πr²/4 - 4r²

Area = (π - r²)/4 sq. units.

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a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.

To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.

We shade the area where the circles for D and E overlap because the equation (D ⋃ E)  denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.

The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.

The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.

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Answer: 12

Step-by-step explanation:

1/3 and 3/4 least common denominator is 12

And then the fractions would be converted to 4/12 and 9/12

4/12+9/12 is 13/12 or 1 1/12

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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Answer:

Pedro made 54 ounces of coffee in total.

Step-by-step explanation:

Identify what you know:

1) Pedro gave his friend 34 ounces of coffee.

2) There was 20 ounces of coffee left over after!

So, we need to add the amount of coffee that his friend had, to the amount that's left, to get the total amount that he made.

Let's make an equation, where x equals the total amount!

34 + 20 = x

OR

x - 34 - 20 = 0

Hope this helps!

Answer:

54

Step-by-step explanation:

34+20= 54 ounces of coffee

A. Can the relationship between the price and the number of avacados be described with a constant rate? Explain

The relationship between the number of avocados and their price can be described as a constant rate because there is a direct proportionality between the price and the number of avocados.

To get the value of the ratio we have to find that constant number among all the values in the table, for that we divide the value of the price by the number of avocados, If this value is the same for all values, the ratio is constant:

Then the ratio between the price and the number of avocados is 1.25 and is constant.

B. Can the relationship between the weight and the number of avacodos be described with a constant rate? Explain

Following the explanation of the previous problem, we are going to divide the weight of the avocados by the number of avocados to verify what the ratio is and thus be able to determine if it is constant or not.

As we can see, the ratio for each of the measures is different, this happens because the sizes of the avocados are never the same. For this there cannot be a constant rate

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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The correct function that models the balance B of Lily’s account as a function of time in months is option A, which is B(t) = 325(1 − 0.005)ᵗ.

To see why, we can start with the initial balance of $325 and note that each month, the bank charges a monthly fee of 0.5%, which is equivalent to a monthly interest rate of 0.005. This means that after one month, the balance will be reduced by 0.5% or 0.005 times the original balance, giving:

B(1) = 325 - 0.005(325)

Similarly, after two months, the balance will be reduced by another 0.5% of the new balance, giving:

B(2) = (325 - 0.005(325)) - 0.005(325 - 0.005(325))

We can simplify this expression by factoring out the common factor of 325(1 - 0.005) after each term, giving:

B(2) = 325(1 - 0.005)²

Generalizing this pattern, we can see that after t months, the balance will be:

B(t) = 325(1 - 0.005)ᵗ

Therefore, option A is the correct function that models the balance of Lily’s account.

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Answer:

d

Step-by-step explanation:

Answer:

D B ?? i think this is correct

Step-by-step explanation:

The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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9514 1404 393

Answer:

  $55,811.91

Step-by-step explanation:

The amount with interest is given by the formula ...

  A = P(1 +r)^t

where r is the annual interest rate and t is the number of years.

  A = $25000(1.055^15) ≈ $55,811.91

The amount due at the end of 15 years will be $55,811.91.

Answer:

2 x 3 matrix

Step-by-step explanation:

Sathish will be going to pay a total of $64.8 for the gas.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

The First 150 and last 150 km will cover by Satish only

Since 6 liters covers 100 km

So,

Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6

Now,

The journey 2100 - 300 = 1800 km has been covered by all three

Split 1800/3 = 600 km of money Satish will pay

So,

Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2

Total paid = 21.6 + 43.2 = 64.8.

Hence "Satis will be going to pay a total of $64.8 for the gas".

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Answer:

(a)0.16

(b)0.588

(c)\([s_1$ s_2]=[0.75,$ 0.25]\)

Step-by-step explanation:

The matrix below shows the transition probabilities of the state of the system.

\(\left(\begin{array}{c|cc}&$Running&$Down\\---&---&---\\$Running&0.90&0.10\\$Down&0.30&0.70\end{array}\right)\)

(a)To determine the probability of the system being down or running after any k hours, we determine the kth state matrix \(P^k\).

(a)

\(P^1=\left(\begin{array}{c|cc}&$Running&$Down\\---&---&---\\$Running&0.90&0.10\\$Down&0.30&0.70\end{array}\right)\)

\(P^2=\begin{pmatrix}0.84&0.16\\ 0.48&0.52\end{pmatrix}\)

If the system is initially running, the probability of the system being down in the next hour of operation is the \((a_{12})th$ entry of the P^2$ matrix.\)

The probability of the system being down in the next hour of operation = 0.16

(b)After two(periods) hours, the transition matrix is:

\(P^3=\begin{pmatrix}0.804&0.196\\ 0.588&0.412\end{pmatrix}\)

Therefore, the probability that a system initially in the down-state is running

is 0.588.

(c)The steady-state probability of a Markov Chain is a matrix S such that SP=S.

Since we have two states, \(S=[s_1$ s_2]\)

\([s_1$ s_2]\left(\begin{array}{ccc}0.90&0.10\\0.30&0.70\end{array}\right)=[s_1$ s_2]\)

Using a calculator to raise matrix P to large numbers, we find that the value of \(P^k\) approaches [0.75 0.25]:

Furthermore,

\([0.75$ 0.25]\left(\begin{array}{ccc}0.90&0.10\\0.30&0.70\end{array}\right)=[0.75$ 0.25]\)

The steady-state probabilities of the system being in the running state and in the down-state is therefore:

\([s_1$ s_2]=[0.75$ 0.25]\)

Answer:

So the value of b is 7

Step-by-step explanation:

We can use the formula for the slope of a line given two points:

slope = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the two points on the line. We can plug in the given points (-2, B) and (B, 5) to get:

-2/9 = (5 - B)/(B - (-2)) = (5 - B)/(B + 2)

Multiplying both sides by (B + 2), we get:

-2(B + 2) = 9(5 - B)

Expanding and simplifying, we get:

-2B - 4 = 45 - 9B

7B = 49

B = 7

Answer:

1

Step-by-step explanation:

1

Answer:

1575

Step-by-step explanation:

3/8 as a decimal is .375. Multiply 4200 by .375 to get your answer.

The amount that she owes after she factors in interest will be $33,455.64.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.

Then the amount is given as,

A = $25,000 x (1 + 0.06)⁵

A = $25,000 x (1.06)⁵

A = $25,000 x 1.3382

A = $33,455.64

The amount that she owes after she factors in interest will be $33,455.64.

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Answer:

hello your question is incomplete attached below is the complete question

answer :

for  I1 =     \(\frac{1}{x^2} + \frac{4}{x^3}\)    The integral converges

for  I2 =    \(\frac{2x + 6}{2(x^2 + 6x + 4 )}\)  The integral diverges

for  I3 =  \(\frac{1}{x^2}\)  The integral converges

for  I4 = 1  The integral diverges

Step-by-step explanation:

The similar integrands and the prediction ( conclusion )

for  I1 =     \(\frac{1}{x^2} + \frac{4}{x^3}\)    The integral converges

for  I2 =    \(\frac{2x + 6}{2(x^2 + 6x + 4 )}\)  The integral diverges

for  I3 =  \(\frac{1}{x^2}\)  The integral converges

for  I4 = 1  The integral diverges

attached below is a detailed solution

Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

The result is 16, which matches the information given in the problem. Thus, our solution is correct. Thao originally had 30 coins.

Let's solve this problem step by step.

Let's assume the number of coins Thao originally had is x.

According to the problem, Thao gives two fifths of her coins to her sister. Two fifths of x can be represented as (2/5)x.

After giving away two fifths of her coins, Thao receives 4 coins for her birthday. So, the number of coins she has now is (2/5)x + 4.

The problem states that she now has 16 coins. Therefore, we can set up the following equation:

(2/5)x + 4 = 16

To solve for x, we need to isolate x on one side of the equation. We can start by subtracting 4 from both sides:

(2/5)x = 16 - 4

(2/5)x = 12

To get rid of the fraction, we can multiply both sides of the equation by 5:

5 * (2/5)x = 5 * 12

2x = 60

Next, divide both sides of the equation by 2 to solve for x:

(2x)/2 = 60/2

x = 30

Therefore, Thao originally had 30 coins.

To verify our answer, we can substitute x = 30 back into the equation (2/5)x + 4 and see if it equals 16:

(2/5) * 30 + 4 = 12 + 4 = 16

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Answer:

25 percent

Step-by-step explanation:

There is 12 spots on the chart

3 of these spots are green or 3/12

3/12 is equivalent to 1/4

1/4 of 100 in 25 percent

Answer:

Step-by-step explanation:

it would take 30minutes

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

4/5

Step-by-step explanation:

y is 5 times as big as x

When y is 4, divide it by 5 to find x

x = 4/5

Answer:

I would say 20 or 30

Step-by-step explanation:

if y=15 and x=3 and than x=4 than y would be 20 or 30

The first partial product = 4

The second partial product = 80

The final product =  84

When we divide two integers into smaller portions, we refer to the partial product. In other words, we utilize the enlarged version of the integers and separately multiply tens by tens, tens by ones, ones by ones, etc. instead of executing the entire multiplication all at once. A partial product is what we name each of these pieces. After that, we sum them all together to arrive at the result.

Partial product of 21 × 4,

The first partial product = 1 × 4 = 4

The second partial product = 20 x 4 = 80

The final product = First partial product  +  Second partial product

Substitute the values

The final product = 4 + 80

The final product = 84

Therefore, the partial product of 21 × 4 is 4 and 80.

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