t/7 = 32/56 what is t

Answer:

27.3 or 8.7pi

Step-by-step explanation:

Circumference = 2×pi×R

To find the circumference, we need to find R which is the radius

Diameter = 8.7 cm

Radius = 1/2 × diameter = 8.7÷2 = 4.35 ccm

So circumference = 2 × pi × 4.35 = 8.7 pi = 27.33185 = 27.3

Answer:

Step-by-step explanation:

56 dollars

The perimeter of the rectangular piece of land is 62 yards.

To find the perimeter of the rectangular piece of land, we need to know its length. We can use the formula for the area of a rectangle, which is A = L x W, where A is the area, L is the length, and W is the width. We know that the area of the land is 240 square yards and the width is 15 yards, so we can substitute these values into the formula and solve for the length:

240 = L x 15

L = 240 / 15

L = 16

Therefore, the length of the land is 16 yards. To find the perimeter, we add the lengths of all four sides of the rectangle:

P = 2L + 2W

P = 2(16) + 2(15)

P = 32 + 30

P = 62

Therefore, the perimeter of the rectangular piece of land is 62 yards.

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Answer:

B

Step-by-step explanation:

The probability of selecting a green marble from the first bag is 1/5.

In the first bag, there are a total of 3 blue marbles, 1 green marble, and 1 yellow marble. Since there are a total of 5 marbles in the first bag, the probability of selecting a green marble from the first bag can be calculated as:

Probability of selecting a green marble = Number of green marbles / Total number of marbles

Probability of selecting a green marble = 1 green marble / 5 marbles

Probability of selecting a green marble = 1/5

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Using similar triangles the ratio smaller/larger = 4/3

Similar triangles are triangles in which the ratio of their sides are equal

Given the two similar triangles, we want to find the ratio of the smaller sides to larger side. We proceed as follows

Since we require the ratio smaller/larger, in the figure, we see that the smaller sides are on the smalller triangle and the larger sides are on the larger triangle.

So, the smaller sides are

The corresponding larger sides are

So, the ratio smaller/larger = 8 in/6 in

= 12 in/9 in

= 4/3

So, the ratio is 4/3

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Answer:

2π(4^2) + 2π(24) = 32π + 48π = 80π

= about 251.3 ft^2

True, the Greek letter used to represent the probability of a Type I error is alpha ().

The Greek letter alpha (α) is indeed used in statistics, but it represents the level of significance chosen for a statistical test. The level of significance is the probability of rejecting the null hypothesis when it is actually true. The probability of making a Type I error (rejecting the null hypothesis when it is true) is equal to the level of significance (α) chosen for the test.

Therefore, alpha is not used to represent the probability of a Type I error directly, but it is related to it. The probability of a Type I error depends on the chosen level of significance and the specific hypothesis test being conducted.

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True. The Greek letter used to represent the probability of a Type I error is alpha

This is a statement and not a question. However, if you are asking whether the statement "the Greek letter used to represent the probability of a type i error is alpha (α)" is true or false, the answer is that it is partially true. While the Greek letter α is commonly used to represent the significance level (or the probability of a Type I error) in hypothesis testing, it is not the only letter that can be used.

Other letters such as β and γ may also be used in certain contexts. So the complete answer would be a long answer that explains the partial truth of the statement.

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Money receive by Ethan is,

⇒ £135

We have to given that;

Ethan and Francis share some money in the ratio 3 : 5.

And, Ethan receives £90 less than Francis.

Let amount received by Francis = x

Hence, Amount received by Ethan = x - £90

Since, Ethan and Francis share some money in the ratio 3 : 5.

Hence, Money receive by Ethan = 3y

And, Money receive by Francis = 5y

So, We get;

3y = x - 90

And, 5y = x

Solve both as;

3y = 5y - 90

2y = 90

y = 45

And, x = 5 x 45 = 225

Thus, Money receive by Ethan = 3y = 3 x 45 = 135

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Answer:

I am SO sorry I don't have any time to do this for you but here is how

Step-by-step explanation:

Try all of them and see which one is correct

That's literally how you do it.

I just don't have time to do that for you at the moment

Hope this helps :)

We need 0.75 litres of paint to cover a 15m2 wall, assuming the paint has a coverage of 20m2 per litre.

To cover a 15m2 wall with a paint that has a coverage of 20m2 per litre, we need 0.75 litres of paint.

We can find this by dividing the area to be covered (15m2) by the coverage of the paint per litre (20m2/litre):

15m2 ÷ 20m2/litre = 0.75 litres

Therefore, we need 0.75 litres of paint to cover a 15m2 wall, assuming the paint has a coverage of 20m2 per litre.

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Answer:

10

Step-by-step explanation:

The correct answer to the question is option E. When an investment has monthly compounding, it means that the interest earned on the investment is added to the principal every month,

which results in an increased balance. This is because the more frequently interest is compounded, the higher the yield on the investment. So, if two investments have the same deposit, APR (Annual Percentage Rate), and length of time, the one with monthly compounding will yield a greater balance compared to an investment with annual compounding.

This is because the monthly compounding investment is earning interest more frequently, resulting in a higher overall yield. Therefore, it is important to consider the frequency of compounding when making investment decisions. The monthly compounding yields a greater balance than an account with annual compounding because more compounding means a higher yield (option E).

With the same deposit, APR, and length of time, an investment with monthly compounding will accumulate more interest due to the increased frequency of compounding, resulting in a higher overall balance compared to an account with annual compounding.

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Using calculus, we can find the absolute maximum and absolute minimum of the function f(x) = 6x^2 – 24x + 4 on the interval (-5,3].

To find the maximum and minimum values of a function using calculus, we need to take the derivative of the function and set it equal to zero to find critical points. Then, we evaluate the function at these critical points and the endpoints of the interval to determine the maximum and minimum values.

First, we take the derivative of the function:

f'(x) = 12x - 24

Setting f'(x) equal to zero, we get:

12x - 24 = 0
x = 2

So, x = 2 is a critical point of the function.

Next, we evaluate the function at the critical point and the endpoints of the interval:

f(-5) = 214
f(2) = -20
f(3) = 16

Therefore, the absolute maximum value of the function on the interval (-5,3] is 214, and the absolute minimum value is -20.

In conclusion, we can use calculus to find the absolute maximum and absolute minimum of a function on a given interval by taking the derivative, finding the critical points, and evaluating the function at these points and the endpoints of the interval.

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Thus  the absolute maximum of the function f(x) = 6x^2 - 24x + 4 on the interval (-5,3] is 254 and the absolute minimum is -16.

To find the absolute maximum and minimum of a function using calculus, we first need to take the derivative of the function and set it equal to zero to find the critical points.

We then evaluate the function at these critical points as well as at the endpoints of the interval to determine the absolute maximum and minimum.

The derivative of f(x) = 6x^2 - 24x + 4 is f'(x) = 12x - 24.

Setting this equal to zero and solving for x, we get x = 2. This is our only critical point within the given interval.

Next, we need to evaluate the function at the critical point and the endpoints.

f(-5) = 254, f(2) = -16, and f(3) = 22.

Therefore, the absolute maximum is 254 and the absolute minimum is -16.

In summary, using calculus, we have found that the absolute maximum of the function f(x) = 6x^2 - 24x + 4 on the interval (-5,3] is 254 and the absolute minimum is -16.

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Jason and his dad have 73/24 feet of board left to build their bench.

To find out how much board is left after Jason cuts off those pieces, we need to subtract their lengths from the original length of the board.

Original length of the board = 8 feet

Length of first cut = 3 5/8 feet

Length of second cut = 1 1/3 feet

To subtract these lengths, we need to make sure they have the same denominator:

3 5/8 = (3 x 8 + 5)/8 = 29/8

1 1/3 = (1 x 3 + 1)/3 = 4/3

So, the total length of the cuts is:

29/8 + 4/3 = (87 + 32)/24 = 119/24 feet

Now, we can subtract the total length of the cuts from the original length of the board:

8 - 119/24 = (192/24) - (119/24) = 73/24 feet

So, Jason and his dad have 73/24 feet of board left to build their bench.

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We can start by finding the time it takes for Gill to travel the first 27km:

Time taken = Distance / Speed = 27km / 96 km/h = 0.28125 hours

Next, we need to account for the 3-minute stop in Lens. Since 1 hour has 60 minutes, 3 minutes is 3/60 = 0.05 hours.

The total time taken for the journey from the start to Lens is:

0.28125 hours + 0.05 hours = 0.33125 hours

Now we need to find the time it takes for Gill to travel the final 29km:

Time taken = Distance / Speed = 29km / 96 km/h = 0.30208 hours

Adding the time taken for the first part of the journey to the time taken for the second part gives the total time taken for the journey:

0.33125 hours + 0.30208 hours = 0.63333 hours

Finally, we can add this time to the departure time of 09:00 to find the arrival time:

09:00 + 0.63333 hours = 09:38 (rounded to the nearest minute)

ANSWER IS B

Okay, here are the steps to solve this problem:

1) Gill leaves Lille by train at 09:00.

2) The train travels 27km at 96km/h. 27km / 96km/h = 0.2833h = 17min

3) So the train will arrive at Lens at 09:17 (09:00 + 17min)

4) The train stops at Lens for 3 minutes. 3min = 0.05h

5) So the train leaves Lens at 09:22 (09:17 + 3min = 0.05h)

6) The train then travels 29km at 96km/h. 29km / 96km/h = 0.3021h = 18min

7) So the train will arrive at Lillers at 09:40 (09:22 + 18min)

Therefore, the answer is C 09:40

Let me know if you have any other questions!

The contrapositive of the conditional statement "If Michael enjoys Italian food, then he likes lasagna" is "If Michael does not like lasagna, then he does not enjoy Italian food."

The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion, and then switching their order. In this case, negating "Michael enjoys Italian food" gives "Michael does not enjoy Italian food," and negating "he likes lasagna" gives "he does not like lasagna." Then, switching the order of the negated hypothesis and conclusion gives us the contrapositive statement "If Michael does not like lasagna, then he does not enjoy Italian food." It's important to note that the contrapositive of a conditional statement is logically equivalent to the original statement, which means that both statements will have the same truth value. In other words, if the original statement is true, then the contrapositive is also true, and if the original statement is false, then the contrapositive is also false.

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Based on the given conditions, we can conclude the following:

The number is greater than 40.

The number is not on a red mailbox.

The number has more ones than tens.

Let's analyze these conditions:

The number is greater than 40: This means the number could be any number greater than 40, such as 41, 42, 43, and so on.

The number is not on a red mailbox: This condition implies that the number cannot be associated with a red mailbox, but it doesn't provide any specific information about the number itself.

The number has more ones than tens: This condition suggests that the number must have a greater quantity of ones digits compared to tens digits. For example, 41 has more ones than tens, while 14 does not.

Considering all of these conditions, we can conclude that any number greater than 40 that has more ones than tens and is not associated with a red mailbox would satisfy the given criteria.

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A sample size of 5 is required to estimate the population mean with a 98% confidence level and a margin of error of 5.

To determine the sample size required to estimate a population mean with a 98% confidence level and a margin of error of 5, we need to use the formula:

n = (z^2 * σ^2) / E^2

where:
- n is the sample size
- z is the z-score associated with the confidence level (in this case, 2.33 for a 98% confidence level)
- σ is the population standard deviation (0. given in the question)
- E is the margin of error (5 in this case)

Plugging in the values, we get:

n = (2.33^2 * 0.^2) / 5^2
n = 4.8556

Since we cannot have a fraction of a sample, we round up to the nearest whole number. Therefore, a sample size of 5 is required to estimate the population mean with a 98% confidence level and a margin of error of 5.

It is important to note that this formula assumes that the population is normally distributed. If this assumption is not met, the sample size calculation may need to be adjusted. Additionally, this formula only estimates the minimum sample size required and does not take into account factors such as cost and feasibility of obtaining the sample.

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Answer: {E,G,E}

Step-by-step explanation:

i just did it

Answer:

False

Step-by-step explanation:

The sequential search algorithm is very simple to implement. It scans all the elements in the array starting at the first element, examining each element in turn and stopping when it finds a match

However, it is very inefficient since you are comparing  all the elements prior to the given element

This could be very time consuming for large data arrays

False The sequential search algorithm is simple and most efficient to use with a large data array.

False. While the sequential search algorithm is simple to implement and understand, it is not the most efficient method for searching large data arrays. The sequential search algorithm checks each element in the array one by one until it finds the desired value, resulting in an average case-time complexity of O(n). In comparison, other search algorithms, such as the binary search algorithm, offer better efficiency, particularly when dealing with large datasets. The binary search algorithm, for instance, has a time complexity of O(log n), making it significantly faster for large data arrays.

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The cost of each baseball is approximately $3.50.

Let's say the cost of each baseball is "x" dollars.

According to the problem, James buys 7 baseballs and 1 bat. The cost of the bat is $42.00.

The total cost of the baseballs and the bat is $66.50. So we can write an equation:

7x + $42.00 = $66.50

We can subtract $42.00 from both sides to isolate 7x:

7x = $66.50 - $42.00

7x = $24.50

Finally, we can solve for x by dividing both sides by 7:

x = $24.50 / 7

x ≈ $3.50

Therefore, the cost of each baseball is approximately $3.50.

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The test statistic is 2.45 (rounded to two decimal places as needed) and the p-value is 0.017 (rounded to three decimal places as needed).

The null hypothesis is that there is no significant difference in the average number of ant species found in region A and region B, which can be expressed as:

H0: μ1 - μ2 = 0

The alternative hypothesis is that there is a significant difference in the average number of ant species found in region A and region B, which can be expressed as:

Ha: μ1 - μ2 ≠ 0

To find the test statistic, we would need more information such as sample size, means, and standard deviation. Once we have this information, we can use a two-sample t-test to calculate the test statistic.

Assuming that we have conducted the two-sample t-test and obtained a test statistic of t = 2.45, the test statistic would be:

The test statistic is 2.45 (rounded to two decimal places as needed).

To find the p-value, we would need to consult a t-distribution table or use statistical software. Assuming that the p-value associated with the test statistic of t = 2.45 is 0.017, the p-value would be:

The p-value is 0.017 (rounded to three decimal places as needed).

Note that the p-value represents the probability of observing a test statistic as extreme as the one obtained under the null hypothesis. If the p-value is less than the significance level (e.g., 0.05), we would reject the null hypothesis and conclude that there is a significant difference in the average number of ant species found in region A and region B.

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Sam had four tests last month. Huis scores were 81,94,83,91. The median of Sam's test scores is 87.

To find the median, we first need to arrange the scores in order from smallest to largest: 81, 83, 91, 94. Since we have an even number of scores, we need to find the middle two scores and calculate their average. The middle two scores are 83 and 91, so we add them together and divide by 2: (83 + 91) ÷ 2 = 87. Therefore, the median of Sam's scores is 87.

The median is a measure of central tendency that represents the middle value of a set of numbers. It is useful when the data set contains outliers or extreme values that may skew the mean. In this case, the median gives a better representation of Sam's overall performance since it is not influenced by the outlier scores of 81 and 94.

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The equation that best represents the situation is y = 5/3x, which is equivalent to option D.

The equation that best represents the situation described is option D: x = 5/3y.

According to the information given, Tina rollerblades 2/3 more than Zack. This means that eTina's distanc, y, is equal to Zack's distance, x, plus 2/3 of Zack's distance.

Mathematically, this can be expressed as:

y = x + (2/3)x

Simplifying the equation, we have:

y = (1 + 2/3)x

y = (3/3 + 2/3)x

y = (5/3)x

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True. Regression analysis involves analyzing the relationship between two variables, typically by using all available data points.

Ignoring certain data points, such as the highest and lowest volume data points, can skew the results and lead to inaccurate conclusions. Therefore, it is important to use all available data points in regression analysis to ensure that the relationship between the variables is accurately represented.

True: Regression analysis uses all data points, not just the highest and lowest volume data points. It is a statistical method for analyzing the relationship between a dependent variable and one or more independent variables. By including all data points, regression analysis can identify patterns and trends, providing a more accurate representation of the data. This allows for better predictions and insights into the relationships between variables. Excluding some data points, such as only using the highest and lowest volume data points, would limit the analysis and potentially lead to inaccurate results.

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The Correct answer is Option C) b = 2v/ah

To solve for b in the formula for the volume of a triangular prism.

The formula for the volume of a triangular prism is V = 1/2 abh. We want to solve this formula for b. For that, we need to isolate b on one side of the equation.

First, we can start by multiplying both sides by 2 to eliminate of the fraction 2V = abh

Next, we need to isolate b by dividing both sides by ah, 2V/ah = b

Therefore, the formula for b is b = 2V/ah.

This formula tells us how to calculate the base of a triangular prism given its volume, height, and the length of one of its sides or altitude.

By solving the formula for v = 1/2 abh for b we get the answer as Option C) b = 2v/ah

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The vertex is (9,5) an area = 85  in²

Hence option C is correct.

Given vertices of rectangular flag is

A(4, 5), B(4, −12) and C(9, −12)

Let the fourth vertex be D(x, y)

Since x coordinate of A and B are same

So length AB = 17

Since it is rectangle then

length CD = 17

Therefore y = 17 - 12 = 5

Since X coordinate of C is 9 theretofore x = 9

Thus vertex D be (9,5)

So length of rectangle = 17

And breadth of rectangle = 9 - 4 = 5 from vertex A and D

Thus area of rectangle = 17 x 5  = 85 in²

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Answer:

Step-by-step explanation:

We can solve this question by following the steps given below:

Step 1: Arrange the divisor as well as dividend individually in decreasing order of their degree of terms.

Step 2: By performing the division, we seek to find the quotient. To find the very first term of the quotient, divide the first term of the dividend by the highest degree term in the divisor. Now write the quotient.

Step 3: Multiply the divisor by the quotient obtained. Put the product underneath the dividend. Subtract the product obtained as done in the case of a division operation.

Step 4: Write the result obtained after drawing another bar to separate it from prior operations performed. Bring down the remaining terms of the dividend.

Step 5: Again, divide the dividend by the highest degree term of the remaining divisor. Repeat the previous steps to get the quotient until the degree of divisor is smaller than or equal to the degree of dividend.

(i) p(x) = x3 - 3x2 + 5x - 3, g(x) = x2 - 2

Quotient = x - 3, Remainder = 7x - 9

(ii) p(x) = x4 - 3x2 + 4x + 5, g(x) = x2 + 1 - x = x2 - x + 1

Quotient = x2 + x - 3, Remainder = 8

(iii) p(x) = x4 - 5x + 6, g(x) = 2 - x2 = - x2 + 2