You take your family out to dinner and the total on the bill is $45.25. You want to leave a 20% tip. How much will the tip be for this dinner?

Proportional ratio to the ratio 1/8 = 2/16 or 4/32 or 3/24 and so on.

What is proportional ?

A proportionality is a ratio which thus examines two numbers. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. Proportions are denoted by the symbols "::" or "=".

According to Question

As long as you multiply or divide by the same number to both the numerator and denominator you will get a proportional ratio

Therefore:

When we Multiple 2 to numerator and denominator

we get 2/16.

When we Multiple 3 to numerator and denominator

we get 3/24.

When we Multiple 4 to numerator and denominator

we get 4/64/.

AND So on

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Answer:thr lerrkmaf

Step-by-step explanation:

and we are so cool DEA

Answer:

y=50

Step-by-step explanation:

Answer

the area is 26 cm

Step-by-step explanation:

for the first part well call it box C box c is 2 cm by 1 cm the area of that box is 2 because 2 x 1 =2

for box B which is 2 cm by 6 cm because you add the 3 on the bottom to the 3 on the top so box B = 12

for box A  it is 3 by 4 so that would be 12

you add the results together 12+12+2=26cm

Answer:

3Meter Per Second Square

Step-by-step explanation:

Accelaration=Vf-vi/t

A=21-6/5

A=3

1. Everyone has a carrying capacity

     carrying capacity means is the total frequency of individuals within a    community a habitat can sustain.

2. Limiting factor are biotic or abiotic factors which limit the carrying capacity.

complete question:

When living conditions in an area are good, a population will generally grow. But eventually some environmental factors will cause the population to stop growing. A limiting factor is an environmental factor that causes a population to decrease. Some limiting factors for populations are food and water, space, and weather conditions.

1. Everyone has _____________

2.What is a limiting factor? please answer in a complete sentence by restating the question​

Answer:  

    1. Everyone has a carrying capacity

     carrying capacity means is the total frequency of individuals within a    community a habitat can sustain.

2. Limiting factor are biotic or abiotic factors which limit the carrying capacity.

The maximum population size that an ecosystem can support is called carrying capacity. Limiting factors determine carrying capacity. The availability of abiotic factors (such as water, oxygen, and space) and biotic factors (such as food) dictates how many organisms can live in an ecosystem. Carrying capacity is also impacted by the availability of decomposers. Decomposers breakdown and recycle dead organisms and organic matter. They prevent dead matter from accumulating and taking up space in an ecosystem.

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Answer: Let's solve this problem step by step.

First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.

According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:

For An:

Income of An = Salary of An + Savings of An

Income of An = 5x + 2600

For B:

Income of B = Salary of B + Savings of B

Income of B = 3x + 1800

Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:

(Expenditure of An)/(Expenditure of B) = 9/5

Since expenditure is the complement of savings, we have:

[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5

Substituting the previously derived expressions for income, we get:

[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5

Simplifying the equation, we have:

5x / 3x = 9/5

Cross-multiplying, we get:

5 * 3x = 9 * 3x

15x = 27x

Subtracting 27x from both sides, we have:

0 = 12x

This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.

Answer:

Option A

Step-by-step explanation:

From the question given in the picture attached,

Directrix of the parabola → y = 2

Focus of the parabola → (-5, 0)

Since, focus is below the directrix, parabola will open open downwards.

Equation of the parabola will be in the form of,

y - k = -4p(x - h)²

Here, (h, k) is the vertex of the parabola

p = Distance between vertex and focus or distance between vertex and directrix

Since, distance between vertex and focus = Distance between vertex and directrix

Therefore, vertex of the parabola → (-5, 1)

Now distance (p) between vertex (-5, 0) and focus (-5, 1) = 1 unit

By substituting these values in the equation,

y - 1 = -4(1)[x - (-5)]²

y - 1 = -4(x + 5)²

y = -4(x + 5)² + 1

Option A will be the answer.

s = rθ

24.6 = r×250

r = 24.6÷250

r = 0.098

I'm not sure

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

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Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)

We know that the angles opposite to equal sides of a triangle are equal.

∴ AB = AC ⇒ ∠B = ∠C

Now, Side BA of Triangle ABC has been produced to D.

∴ ∠CAD = ∠B + ∠C (Exterior angle = sum of int. opp. angles)

⇒ 3x - 10 = 25 + x + 15

⇒ 3x - 10 = 40 + x

⇒ 3x - x = 40 + 10

⇒ 2x = 50

⇒ x = 50/2

⇒ x = 25

∴ The value of 'x' in the given figure is 25!

The greatest area that can be covered with the given tiles is 63 square inches using the 1x9 arrangement.To find the greatest area that can be covered with the given tiles, we need to determine how to arrange the tiles to maximize the area.

The tiles measure 3 and 1/2 inches long and 2 inches wide. Let's assume that the tiles can be arranged in a rectangular shape.

To maximize the area, we want to find the dimensions that allow us to use all nine tiles without leaving any gaps. Since the tiles are rectangular, we need to find a whole number of rows and columns that multiply to nine (the number of tiles).

Possible arrangements for nine tiles are:

1 row and 9 columns (1x9)

3 rows and 3 columns (3x3)

To calculate the area, we multiply the length by the width:

For the 1x9 arrangement:

Area = 3.5 inches * (2 inches * 9) = 63 square inches

For the 3x3 arrangement:

Area = (3.5 inches * 3) * (2 inches * 3) = 31.5 square inches

Therefore, the greatest area that can be covered with the given tiles is 63 square inches using the 1x9 arrangement.

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Answer:

25.2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

that what goggle told me

Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation:

Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia

Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.

The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.

by the pythagorean theorem:

Answer: 13 km

Answer:

C

Step-by-step explanation:

There were 33 questions on Clytie's test and she got a grade of 85%.

The number of right answers was:

The result is approximately 28, thus:

Clytie got 28 answers right

Answer:

answer is y = -2x + 18

Step-by-step explanation:

D, ive done this worksheet yesterday actually! lol

Answer:

y = -2x + 18

Step-by-step explanation:

m = -2, (2,14)

y - 14 = -2(x - 2)

y - 14 = -2x +4

y = -2x + 18

Answer:

35

Step-by-step explanation:

find area of each rectangle then add

Answer:

841.8

Step-by-step explanation:

The most probable number of hits is 4, with a probability of 0.25 or 25%.

Given that p = 0.35 and the number of shots fired is 10,

The most probable number of hits will be 10 x 0.35 = 3.5 hits.

Since we can't have half a hit, the most probable number of hits is either 3 or 4.

Using the formula above, we can find the probability of getting exactly 3 hits:

P(x = 3) = C(10,3)(0.35)3(1 - 0.35)10 - 3= 0.218

Using the formula above, we can find the probability of getting exactly 4 hits:

P(x = 4) = C(10,4)(0.35)4(1 - 0.35)10 - 4= 0.250

Therefore, the most probable number of hits is 4, with a probability of 0.25 or 25%.

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The 90% confidence interval for the mean price of an adult single-day ski lift ticket is (46.311, 53.889).

Given the data:

59, 54, 53, 52, 52, 39, 49, 46, 49, 48

We need to calculate the sample mean (x) and the sample standard deviation (s).

Sample mean (x) = (59 + 54 + 53 + 52 + 52 + 39 + 49 + 46 + 49 + 48) / 10 = 501 / 10 = 50.1

Next, we calculate the sample standard deviation (s).

To do this, we'll first calculate the sum of squared deviations from the mean.

Sum of squared deviations = (59 - 50.1)² + (54 - 50.1)² + (53 - 50.1)² + (52 - 50.1)² + (52 - 50.1)² + (39 - 50.1)² + (49 - 50.1)² + (46 - 50.1)² + (49 - 50.1)²+ (48 - 50.1)²

Sum of squared deviations = 477.6

Then, we calculate the sample variance (s²) by dividing the sum of squared deviations by (n-1), where n is the sample size.

Sample variance (s²) = Sum of squared deviations / (n-1) ≈ 477.6 / (10-1)= 53.067

Finally, we calculate the sample standard deviation (s) by taking the square root of the sample variance.

Sample standard deviation (s) = √53.067 = 7.286

Now, we need to find the z-score corresponding to the 90% confidence level.

The z-score can be obtained from the standard normal distribution table or using statistical software.

For a 90% confidence level, the z-score is approximately 1.645.

Plugging in the values into the confidence interval formula:

Confidence Interval = 50.1 ± 1.645(7.286 / √10)

Confidence Interval = 50.1 ± 1.645 (2.302)

Confidence Interval = 50.1 ± 3.789

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If (2, 0) is a solution of the linear equation \(\displaystyle\sf 2x - 5y = k\), we can substitute the values of \(\displaystyle\sf x = 2\) and \(\displaystyle\sf y = 0\) into the equation to find the value of \(\displaystyle\sf k\).

Substituting \(\displaystyle\sf x = 2\) and \(\displaystyle\sf y = 0\) into the equation, we get:

\(\displaystyle\sf 2(2) - 5(0) = k\)

Simplifying:

\(\displaystyle\sf 4 - 0 = k\)

\(\displaystyle\sf 4 = k\)

Therefore, the value of \(\displaystyle\sf k\) is 4 when (2, 0) is a solution of the linear equation \(\displaystyle\sf 2x - 5y = k\).

The answer is:

4 = k

Work/explanation:

Since we know the values of both x and y, we can plug them into the equation and solve for k:

\(\sf{2x-5y=k}\)

\(\bf{2(2)-5(0)=k}\)

Simplify:

\(\bf{4-0=k}\)

\(\bf{4=k}\)

\(\rule{300pt}{3pt}\)

Note : how do we know which number to plug in for x or y?

Well, if we remember the form of a point on the x-y plane, we'll know.

The form of the point is (x,y).

And here we have the point (2,0) where 2 = x and 0 = y.

None of the given sequences could be the beginning of a geometric sequence.

To determine which sequence could be the beginning of a geometric sequence, we need to check if there is a common ratio between consecutive terms.

A. \(125, 150, 180, 215\): The common differences between the terms are \(25\), \(30\), and \(35\), which indicates an arithmetic sequence, not a geometric sequence.

B. \(125, 150, 180, 216\): The common differences between the terms are \(25\), \(30\), and \(36\), which also suggests an arithmetic sequence, not a geometric sequence.

C. \(125, 155, 185, 215\): The common differences between the terms are \(30\), 30, and 30, indicating an arithmetic sequence, not a geometric sequence.

D. \(124, 175, 205, 215\): The common differences between the terms are 51, 30, and 10, suggesting an arithmetic sequence, not a geometric sequence.

None of the given sequences exhibit a constant ratio between consecutive terms, indicating that none of them could be the beginning of a geometric sequence.

NOTE: The given question is incomplete. The complete question is:

Which Of The Following Could Be The Beginning Of A Geometric Sequence?

\(A. 125, 150, 180, 215\\B. 125, 150, 180, 216\\C. 125, 155, 185, 215\\D. 124, 175, 205, 215\)

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Answer:

y=x+2

Step-by-step explanation:

what do you want us to solve for? Step-by-step explanation:

The factors which would be considered while constructing a road for a steep slope are the terrain of the area, the estimated daily traffic, minimum and maximum sight distance, and the design speed.

Constructing roads on a steep slope is a challenge for every civil engineer. It is because such slopes which are possibly found in hilly areas have less access to main land from where the resources/ material for construction are to be transported and also need specific calculations to estimate maximum durability of the roads and also prevent accidents which might occur due to steep slopes.

Hence, an engineer has to keep in mind several factors which can help to reduce the accident cases, provide road safety and better connectivity with major areas.  It is essential that roadway engineers design roads that allow drivers to travel at the right speed. Topography determines the terrain, the different gradient and the construction cost. Every roadway should be built with illuminated raised pavement markings for facilitating safe travel during the night.

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The p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis that the news is read equally for both age groups.

To test whether the proportion of individuals who read newspapers to find out the news is the same for both age groups, we can use a hypothesis test for two proportions. Let p1 be the true proportion of individuals who read newspapers in the age group 36-50, and let p2 be the true proportion of individuals who read newspapers in the age group over 50.

The null hypothesis is that the proportions are equal, i.e., H0: p1 = p2. The alternative hypothesis is that the proportions are not equal, i.e., Ha: p1 ≠ p2.

We can use a significance level of 5%, which means that we will reject the null hypothesis if the p-value is less than 0.05.

To conduct the test, we can calculate the sample proportions of individuals who read newspapers in each age group:

p-hat1 = 25/50 = 0.5

p-hat2 = 30/50 = 0.6

We can also calculate the pooled proportion, which is the weighted average of the two sample proportions:

p-hatp = (25 + 30) / (50 + 50) = 0.55

Using the sample proportions and the pooled proportion, we can calculate the test statistic:

z = (p-hat1 - p-hat2) / √(p-hatp × (1 - p-hatp) × (1/50 + 1/50))

= (0.5 - 0.6) / √(0.55 × 0.45 × (1/50 + 1/50))

= -1.52

The p-value for this test is the probability of getting a test statistic as extreme or more extreme than the observed value of -1.52, assuming the null hypothesis is true. Since this is a two-tailed test, we need to calculate the probability of getting a z-score less than -1.52 or greater than 1.52.

Using a standard normal table or a calculator with a normal distribution function, we can find the p-value:

p-value = P(Z ≤ -1.52) + P(Z ≥ 1.52) ≈ 0.129

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