A scale drawing of a rectangular park is 6 cm wide and 10 cm long. The actual park is 180 meters wide. What is the area of the actual park in square meters?

Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

As given in the question,

Condition for the expression:

Sally and Anne both went for a movie.

Each one purchased a drink.

Shared one popcorn and one veggie bought by them.

Consider movie ticket price = 9

drink price = 1.35

Popcorn price = 3.50

Veggie price = 1.74

Explanation for different expressions are:

1. one-half (9 + 1. 35 + 3. 50 + 1. 74)

Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.

2.  9 + 1. 35 + one-half (3. 50 + 1. 74)

This is correct option as it represents :

Movie ticket price = 9

Drink = 1.35

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

3. 18 + 2. 70 + one-half (3. 50 + 1. 74)

As per consideration of price this is not correct option.

Movie ticket price =18

Drink = 2.70

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

4. 9+1. 35+2(3. 50+1. 7)

This is not correct option as popcorn and veggie price is doubled.

Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

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Tashi is correct. The dilation was an enlargement. The rule (6/5x, 6/5y) indicates that the figure was dilated by a factor of 6/5. Since this is greater than 1, the figure was enlarged.

Dilation is a geometric transformation that changes the size of an object. In a dilation, the size of the object increases or decreases by a scale factor, which is a number greater than 0. Dilation is a type of transformation in which the original figure is expanded or contracted, but the shape is not changed. Dilation can be used to enlarge or reduce an object, or to find the scale factor of two objects. This transformation can also be used to solve problems such as finding the area or perimeter of a figure.

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The amount of money more that Key Club still need to earn in order to have reached their target is  $ 382. 50

To find the amount of money needed  by Kay Club to get to their target, first, find the amount of money earned from the bake sale :

= 2 / 5 x Target amount

= 2 / 5 x 1, 700

= $ 680

Then, they did a good sale and earned 3 / 8 of the amount :

= 3 / 8 x 1, 700

= $ 637. 50

The amount of money that Key Club still needs is:

= Total amount - amount raised

= 1, 700 - 680 - 637. 50

= $ 382. 50

In conclusion. Key Club would still need to engage in other activities to be able to reach their goal of $ 1, 700 as they have to raise $ 382. 50.

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We will use the "Either of the rules" to calculate the probability that either the top card is the ace of spades or the bottom card is the ace of spades.

The either of the rules states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities. In this case, the events are the top card being the ace of spades and the bottom card being the ace of spades. Since the two events are mutually exclusive (the ace of spades cannot be both at the top and at the bottom of the deck), we can add their probabilities to get the total probability.

The probability of the top card being the ace of spades is 1/52 (since there is only one ace of spades in the deck of 52 cards), and the probability of the bottom card being the ace of spades is also 1/52 (assuming that the deck has been sufficiently shuffled). Therefore, the probability of either the top card or the bottom card being the ace of spades is:

P(top or bottom is ace of spades) = P(top is ace of spades) + P(bottom is ace of spades)

= 1/52 + 1/52

= 2/52

= 1/26

So the chance that either the top card is the ace of spades or the bottom card is the ace of spades is 1/26 or approximately 0.038 or 3.8%.

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The probability is 2/52 or 1/26.

To find the chance that the top card is the ace of spades or the bottom card is the ace of spades, you will use the

Addition rule.

Calculate the probability of the top card being the ace of spades:

There are 52 cards in a deck, and 1 ace of spades, so the probability is 1/52.

Calculate the probability of the bottom card being the ace of spades:

This is also 1/52 since there's still 1 ace of spades among the 52 cards.

Apply the Addition rule:

Add the probabilities together, then subtract the probability of both events happening at the same time (which is 0, as

the ace of spades can't be in both positions).

So, the probability is (1/52) + (1/52) - 0 = 2/52 or 1/26.

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Answer: 4

Step-by-step explanation:

Using the 30°-60°-90° Triangle Theorem we know that the base side is half of the hypotenuse. That means it is half of 8 which is 4

Answer:

6n + 3 - 3 = 9 - 3

6n = 6

n = 1

Step-by-step explanation:

Answer:

step one: subtract 3 on both sides 6n=6

then divide 6 on both sides n=1

Answer:

4

Step-by-step explanation:

If I'm reading it correctly, x is multiplied by 6 to equal y.

So, 3(x) x 6 = 18(y)

Therefore, 24/6 = 4 OR,  4(x) x 6 = 24(y)

Given:

\(\begin{aligned}&x^2+y^2=16 \\&z=x y\end{aligned}\)

Express 16 as \(4^{2}\): \(x^2+y^2=16\)

\(x^2+y^2=4^2\\x^2+y^2=4^2 \times 1\)

Trignometry,

\(\cos ^2(t)+\sin ^2(t)=1\)

Now, substitute \(\cos ^2(t)+\sin ^2(t)\) for 1:

\(\begin{aligned}&x^2+y^2=4^2 \times 1 \\&x^2+y^2=4^2 \times\left[\cos ^2(t)+\sin ^2(t)\right]\end{aligned}\\x^2+y^2=4^2 \times \cos ^2(t)+4^2 \times \sin ^2(t)\)

Law of indicates:
\(\begin{aligned}&x^2+y^2=[4 \times \cos (t)]^2+[4 \times \sin (t)]^2 \\&x^2+y^2=[4 \cos (t)]^2+[4 \sin (t)]^2\end{aligned}\\x^2=[4 \cos (t)]^2 \text { and } y^2=[4 \sin (t)]^2\)

Taking positive square roots as follows:

\(x=4 \cos (t), y=4 \sin (t)\)

Recall that, z = xy.

Now, we have:

\(\begin{aligned}&z=4 \cos (t) \times 4 \sin (t) \\&z=16 \cos (t) \cdot \sin (t)\end{aligned}\)

Now, substitute the values:
\(r(t)=x_t i+y_t j+z_t k\)

So, the vector r(t) is: \(r(t)=(4 \cos (t)) i+(4 \sin (t)) i+(16 \cos (t) \cdot \sin (t)) i\)

Therefore, the vector function r(t) is written as: \(r(t)=x_t i+y_t j+z_t k\)

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Answer:

B

Step-by-step explanation:

6.5 * 24 = 156

Therefore B

Answer:

A.) 6:51

B.)The train at 6:42

C.)34 minutes

The Cayley-Hamilton Theorem states that every square matrix satisfies its own characteristic equation. In other words, if A is an n x n matrix with characteristic polynomial p(t), then p(A) = 0.

For a 2 x 2 matrix A = [a b] [c d], its characteristic polynomial is given by

p(t) = det(A - tI) = det([a-t b] [c d-t]) = (a-t)(d-t) - bc

Expanding this polynomial, we get

p(t) = t^2 - (a+d)t + (ad - bc)

Now, let's compute A^2 and A^3:

A^2 = [a b] [c d] [a b] [c d] = [a^2 + bc ab + bd] [ac + cd bc + d^2]

A^3 = A^2 A = [a^2 + bc ab + bd] [ac + cd bc + d^2] [a b] [c d] = [a^3 + abc + acd + bcd] [abc + abd + bcd + d^3]

Next, we can compute p(A) by substituting A^2 and A^3 into the characteristic polynomial p(t):

p(A) = A^2 - (a+d)A + (ad-bc)I

= [a^2 + bc ab + bd] [ac + cd bc + d^2] - (a+d) [a b] [c d] + (ad-bc) [1 0] [0 1]

= [a^2 + bc ab + bd] [ac + cd bc + d^2] - [a^2 + abd + acd + bcd ab + bd^2 + ac + cd bc + d^2] + [ad-bc] [1 0] [0 1]

= [-d^3 + a^2 d - abd - acd - bcd - abc - ac + bd^2 + ad^2 + abc + a^2 c - a^2 d - bc^2 - acd + bcd + abd + acd + cd^2 - ad^2 + bc^2 + bd^2]

= [-d^3 - abd - acd - bcd - abc - ac + bd^2 + a^2 c + acd + cd^2 + 2abc + 2bcd + 2abd + 2acd + 2bd^2 - ad^2]

Now, let's verify that p(A) = 0:

p(A) = [-d^3 - abd - acd - bcd - abc - ac + bd^2 + a^2 c + acd + cd^2 + 2abc + 2bcd + 2abd + 2acd + 2bd^2 - ad^2]

= -(d^3 + 3abc + acd + abd + bcd) + a^2(c + d) + bd(d + b)

= -(d^3 + 3abc + acd + abd + bcd) + (a+d)(ad-bc)

= -(d^3 + 3abc + acd + abd + bcd - ad^2 - abc - acd + abd + abc + bcd)

= 0

Therefore, we have verified the Cayley-Hamilton Theorem for a general 2 x 2 matrix A.

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The domain of the relation is the set of all possible first coordinates of the ordered pairs. The range of the relation is the set of all possible second coordinates of the ordered pairs.

The domain of the relation (11, -6), (10, -6), (9, -5), (9, 8) is the set {11, 10, 9}. This is because the first coordinate of each ordered pair must be one of these three numbers. The range of the relation is the set {-6, -5, 8}. This is because the second coordinate of each ordered pair must be one of these three numbers.

To find the domain and range of a relation, we can use the following steps:

List all of the possible first coordinates of the ordered pairs.

List all of the possible second coordinates of the ordered pairs.

The domain is the set of all possible first coordinates.

The range is the set of all possible second coordinates.

In this case, the possible first coordinates are 11, 10, and 9. The possible second coordinates are -6, -5, and 8. Therefore, the domain is {11, 10, 9} and the range is {-6, -5, 8}.

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Answer:

Your question is inadequate to provide an answer

Step-by-step explanation:

Please upload full question

The expression that represents the model is 450 - 200

The given parameters are:

Initial = 450

Check = 200

The balance after the 3 checks is:

Balance = 450 - 200

hence, the expression that represents the model is 450 - 200

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Answer:

4

Step-by-step explanation:

2x = 8

x = 4

Answer: x=4

Step-by-step explanation:

2x = 8

x = 8/2

x = 4

Check: 2(4)=8

The correct option is Option D) The consistency with which several individuals can complete the questionnaire without making an error is one technique to determine a questionnaire validity.

A questionnaire is a sort of research tool used to collect data from respondents for a survey or statistical analysis. It consists of a collection of questions (or other forms of prompts). Typically, a research questionnaire will have both closed-ended and open-ended questions. Long-term, open-ended inquiries provide the respondent the chance to go into more detail. The Statistical Society of London created the research questionnaire in 1838. Despite the fact that surveys are frequently created so that the answers may be statistically analyzed. Consequently, it may not be practical to conduct a survey using a questionnaire for some demographic groups.

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Answer:

y=-4

Step-by-step explanation:

A model without any simplifying assumptions b.is highly complex and likely unworkable.

As their call implies, simplifying assumptions are assumptions that are protected within the version to simplify the evaluation as tons as feasible. While a simplified version now does not predict the conduct of the actual issue within perfect bounds, too many simplifying assumptions have been made.

While a scientific version enables us to make predictions, it's more valued. As clinical models are representations of simplified explanations, they do not are looking for to explain each scenario or every detail. This means that medical models often aren't equal to the 'real international' from which they are derived.

Mathematical models can help college students apprehend and discover the that means of equations or valuable relationships.

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(a) With a significance level of α=0.05, we would fail to reject the null hypothesis because the p-value of 0.064 is greater than α.

(b) With a significance level of α=0.10, we would reject the null hypothesis because the p-value of 0.064 is less than α.

(c) With a significance level of α=0.01, we would fail to reject the null hypothesis because the p-value of 0.064 is greater than α.

(d) With a significance level of α=0.065, we would reject the null hypothesis because the p-value of 0.064 is less than α.

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Answer:

2^16 or 65,536

Step-by-step explanation:

First, you'll find the answers to 2^6 and 2^10

2^6=64 while 2^10=1024, then you multiply 1024 by 64 which gives you 65,536.

**or, the easier way is to just add the two exponents together since you see that the bases are the same.

Answer: its B) test statistic

Step-by-step explanation:

The answer is that regression analysis is the most appropriate method.

The most appropriate statistical method to justify building a new elementary school in the district would be regression analysis. This method can be used to examine the relationship between the expected number of students and the capacity of the schools in the district.



Regression analysis is a statistical method that helps to determine the relationship between two or more variables. In this case, the expected number of students would be the independent variable, while the capacity of the schools in the district would be the dependent variable. By analyzing the relationship between these variables, the school district can make predictions about how many students will need to be accommodated in the future and whether a new elementary school is necessary.

In contrast, binomial distribution is a statistical method that is used to calculate the probability of a specific number of successes in a set of trials, which would not be suitable for this situation. Confidence intervals and hypothesis tests are statistical methods used to draw conclusions about populations based on sample data, but may not be the most appropriate method for this situation.

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For the standard normal distribution , the probability will be 0.0401 which means option a is the correct choice.

A standard deviation (or σ) is a degree of ways dispersed the records is when it comes to the mean. Low general deviation approach records are clustered across the mean, and excessive general deviation suggests records are extra unfold out.

Using a standard normal table the area to the right of z = 1.75 is given by

P(z > 1.75) = .0401

Therefore, the correct option is a.

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Answer: $36

Step-by-step explanation:

Bill is $40, the 25% off coupon is used, and the 20% tip is left.

Step 1: Find 25% of 40

is/40=25/100 ------> 40(25)/100=10

Step 2: Find the new bill price after discount

40-10=30

Step 3: Find the 20% tip of 30

is/30=20/100 ---------> 30(20)/100=6

Step 4: Add the tip with the restaurant bill

30+6=$36

In this question we want to solve the equation. Hence we solved and simplified it to \(-\frac{11}{3}\).

To solve for w in the equation \(-\frac{7}{w+6}\), we can start by cross-multiplying:

-7 = -3(w+6)

Expanding the right side: −7=−3w−18

Next, we can isolate the variable w by moving the constants to the other side:  −7+18=−3w

11=−3w

Finally, we can solve for w by dividing both sides of the equation by -3: w= -11/3

Simplifying further, we get: w =− 11/3. Therefore, the solution for w is −11/3.

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.

Answer:

\(g(x) = 3x + 2 \\ f(x) = {x}^{2} + 1 \)

To determine the distance between the buildings, we can use trigonometry and the given information. Let's consider the triangle formed by Sari, building A, and building B. The side opposite the 40° angle is the distance between the buildings that we want to find.

Using the tangent function, we can set up the following equation: tan(40°) = opposite/adjacent. tan(40°) = distance between the buildings/20 meters. To find the distance between the buildings, we rearrange the equation: distance between the buildings = 20 meters * tan(40°). Using a calculator, we can evaluate the expression: distance between the buildings ≈ 20 meters * 0.8391 ≈ 16.782 meters. Therefore, the buildings are approximately 16.782 meters apart. To determine the distance between the buildings, we can use trigonometry and the given information. Let's consider the triangle formed by Sari, building A, and building B. The side opposite the 40° angle is the distance between the buildings that we want to find.

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Answer:(2.5,5)

Step-by-step explanation: Just find the average of those 2 x’s or those 2 y’s