Giovanna deposited $1600 into two different savings account she deposited half of the money at first Oak and the other half at West United how much interest will she have earned from both accounts at the end of five years ?

Answer:

4(6) + 4(5) + 4(4) = 24 + 20 + 16 = 60 ft^2

Answer:

15 feet and 9 inches

Step-by-step explanation:

9 feet and 5 inches + 6 feet and 4 inches = 15 feet and 9 inches

Answer:

s=3

Step-by-step explanation:

Equation: s=(50-44)/2

First, do the operation(s) in parenthesis:

s=(50-44)/2

s=(6)/2

Next, do the division, since it's the last operation:

s=6/2

s=3

So, your answer is s=3

The bearing of A from B is 253 degrees

The bearing of B from A is 073 degrees

Bearings are typically measured in a counterclockwise direction from north.

The reference direction for bearings is north, and then the angle is measured in a counterclockwise direction relative to north.

Using this method, we have that

The bearing of A from B is 253 degrees

The bearing of B from A is 073 degrees

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If each row behind the "row-A" has 6 more seats than row immediately in front of it, then there are (b) 46 seats in "Row-G".

The number of seats in "Row A" is = 10 seats,

We know that, each row behind the "row-A" has 6-more seats than the row immediately in front of it.

So, Number of seats in "Row-B" are =  10 + 6 = 16 seats,

Number-of-seats in "Row-C" are = 16 + 6 = 22 seats,

Number of seats in "Row-D" are = 22 + 6 = 28 seats,

Number of seats in "Row-E" are = 28 + 6 = 34 seats,

Number of seats in "Row-F" are = 34 + 6 = 40 seats,

So, According to the pattern,

Number of seats in "Row-G" will be = 40 + 6 = 46 seats.

Therefore, there are 46 seats in "Row-G", Option (b) is correct.

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Answer: Assuming that the proportion of patients cured by the drug is p = 0.6 and the sample size is n = 100, we can find the mean and standard error of the sampling distribution as follows:

Mean = p = 0.6

Standard error = sqrt[(p*(1-p))/n] = sqrt[(0.6*(1-0.6))/100] = 0.049

Rounding to three decimal places, the standard error is 0.049.

Step-by-step explanation:

Answer:

6.4

Step-by-step explanation:

Answer:

the correct answer is option D

Answer:

Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.

Step-by-step explanation:

According to the issue:

The deck contains 52 distinct cards.

There are 36 numbered cards ranging from 2 to 9.

There are four aces in the deck.

There are 12 face cards (including the jack, queen, and king).

If you draw half of the face cards, one ace, and one-fourth of the numbered cards, you will get the following:

Face cards in half: 1/2 * 12 = 6 face cards

1 ace: 1 ace

One-fourth of a deck of numbered cards: 1/4 * 36 = 9 decks of numbered cards

When you add these up, you get a total of 6 + 1 + 9 = 16 cards.

Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.

The probability that the spinner lands on an even number or a number greater than 10 is 11/18.

There are two cases where the spinner can land on an even number or a number greater than 10:

Case 1: The spinner lands on an even number.

There are 9 even numbers on the spinner: 2, 4, 6, 8, 10, 12, 14, 16, and 18. The probability of the spinner landing on an even number is 9/18 = 1/2.

Case 2: The spinner lands on a number greater than 10.

There are 7 numbers greater than 10 on the spinner: 11, 12, 13, 14, 15, 16, and 18. The probability of the spinner landing on a number greater than 10 is 7/18.

To find the probability of either event occurring, we add the probabilities of the two cases and subtract the probability of both occurring simultaneously (since the numbers 12, 14, and 16 are even and greater than 10). Therefore, the probability of the spinner landing on an even number or a number greater than 10 is:

(1/2) + (7/18) - (3/18) = 11/18

Thus, the probability that the spinner lands on an even number or a number greater than 10 is 11/18.

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Answer:

58

Step-by-step explanation: You add them all together

Answer:

To write the equation of a line parallel to AB through a given point, you need to follow these steps:

1. Find the slope of line AB using the formula:

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

where (x1, y1) and (x2, y2) are the given ordered pairs A and B.

2. Since the line you want to find is parallel to AB, it will have the same slope as AB.

3. Use the point-slope form of a linear equation to write the equation of the line. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope you found in step 1, and (x1, y1) is the given point through which the line passes.

4. Simplify the equation by distributing the slope and combining like terms if necessary.

5. Your final equation should be in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Answer:

(0, [tex]\frac{1}{2}[/tex] ) , (1, [tex]\frac{5}{4}[/tex] ) , (2, 2 )

Step-by-step explanation:

to determine which points are contained in the graph.

substitute the x- coordinate of each point into the equation and if the value obtained is equal to the y- coordinate of the point then it is contained in the graph.

(0, [tex]\frac{1}{2}[/tex] )

y = [tex]\frac{3}{4}[/tex] (0) + [tex]\frac{1}{2}[/tex] = 0 + [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] = y- coordinate ← contained in graph

(1, [tex]\frac{5}{4}[/tex] )

y = [tex]\frac{3}{4}[/tex] ( 1) + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{4}[/tex] + [tex]\frac{2}{4}[/tex] = [tex]\frac{5}{4}[/tex] = y- coordinate ← contained in graph

([tex]\frac{1}{2}[/tex], 0 )

y = [tex]\frac{3}{4}[/tex] ([tex]\frac{1}{2}[/tex] ) + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{8}[/tex] + [tex]\frac{4}{8}[/tex] = [tex]\frac{7}{8}[/tex] ≠ y- coordinate ← not contained in graph

(2, 2 )

y = [tex]\frac{3}{4}[/tex] (2) + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 = y- coordinate ← contained in graph

Answer:

Step-by-step explanation:

q – 3 = 7 q

-3=6q

q=-1/2

2p=2p

{p∈IR}

The equation models the cost of making different numbers of shirts, where y is the cost in dollars and x is the number of shirts produced is y = 7.5x - 750

To create an equation that models the cost of making different numbers of shirts, we need to determine the relationship between the number of shirts produced and the cost. One way to do this is to use the two-point form of the equation of a line, which is:

y - y₁ = (y₂ - y₁)/(x₂ - x₁) * (x - x₁)

where (x₁, y₁) and (x₂, y₂) are two points on the line.

Using the points (100, 600) and (250, 1387.50), we can find the slope of the line:

slope = (y₂ - y₁)/(x₂ - x₁) = (1387.50 - 600)/(250 - 100) = 7.5

Then, we can use the point-slope form of the equation of a line to write the equation:

y - y₁ = m(x - x₁)

where m is the slope and (x1, y1) is a point on the line. Using the point (100, 600), we get:

y - 600 = 7.5(x - 100)

Simplifying, we get:

y = 7.5x - 750

This equation models the cost of making different numbers of shirts, where y is the cost in dollars and x is the number of shirts produced.

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Answer:

Step-by-step explanation:

4,456,546

a. The probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. The probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. The probability of no flaws in a 25-yard piece of material is approximately 0.3679.

To find the probability of exactly two flaws in a 50-yard piece of material, we can use the Poisson distribution. Let λ be the average number of flaws per 50 yards of material, which is 2. Then, the probability of exactly k flaws occurring in a 50-yard piece of material is given by

P(k flaws) = (e^(-λ) × λ^k) / k!

So, for k=2, we have

P(2 flaws) = (e^(-2) × 2^2) / 2! ≈ 0.2707

Therefore, the probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. To find the probability of no more than two flaws in a 50-yard piece of material, we need to sum the probabilities of having 0, 1, or 2 flaws. So, we have

P(no more than 2 flaws) = P(0 flaws) + P(1 flaw) + P(2 flaws)

We already know P(2 flaws) from part (a). To find P(1 flaw), we can use the same formula as before with λ=2 and k=1

P(1 flaw) = (e^(-2) × 2^1) / 1! ≈ 0.2707

To find P(0 flaws), we use the same formula with λ=2 and k=0

P(0 flaws) = (e^(-2) × 2^0) / 0! ≈ 0.1353

Therefore, we have:

P(no more than 2 flaws) = 0.2707 + 0.2707 + 0.1353 ≈ 0.6767

So, the probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. To find the probability of no flaws in a 25-yard piece of material, we can again use the Poisson distribution, but with a different value of λ. Since the average number of flaws per 50 yards is 2, the average number of flaws per 25 yards is 1. So, we have:

P(0 flaws) = (e^(-1) × 1^0) / 0! ≈ 0.3679

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Answer:Range, because it measures the difference between the highest and lowest values in a datase........

Step-by-step explanation:

The median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.

The measure of center that should be used to determine which location typically has the cooler temperature is the Median, because Beach Town is skewed.

The median is a measure of center that represents the middle value of a data set when it is arranged in ascending or descending order. When comparing the two histograms, Sunny Town's data is symmetric, meaning that it has roughly equal frequencies on both sides of the center. In this case, the median could be a good representation of the typical temperature in Sunny Town.

However, Beach Town's data is skewed, meaning that it is not symmetrical and has a longer tail on one side of the center. This indicates that there are more occurrences of higher temperatures in Beach Town compared to Sunny Town. In skewed data, the mean can be affected by extreme values, making it less reliable as a measure of center. The median, on the other hand, is less influenced by extreme values and can give a better indication of the typical temperature in Beach Town.

Therefore, the median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.

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The proposed study is a randomized controlled trial (RCT). RCTs are considered the gold standard for evaluating the effectiveness of interventions.

In this study, the researcher will randomly assign subjects to either an exercise or non-exercise group, which helps to ensure that any observed differences in mental health outcomes can be attributed to the exercise intervention and not other factors. Stratified random sampling is also being used to ensure that the study includes representative proportions of different age groups. By conducting a mental health exam at the beginning and end of the study, the researcher can compare changes in mental health outcomes between the two groups. Overall, this RCT has a strong design that will enable the researcher to draw meaningful conclusions about the effects of exercise on mental health.

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The popcorn box can hold 35 cubic inches of popcorn when it is full.

To find the volume of the popcorn box modeled as a right rectangular prism with dimensions 2 inches by 2.5 inches by 7 inches, you need to multiply the three dimensions together:

Volume = Length × Width × Height

In this case, the dimensions are:

Length = 2 inches; Width = 2.5 inches ; Height = 7 inches

Now, multiply the dimensions:

Volume = 2 × 2.5 × 7

Volume = 5 × 7

Volume = 35 cubic inches

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The unit digit of 725 unit digit of (325)​ is given as 5

Unveiling the unit digit of a number raised to an exact power can be done by analyzing the pattern of the unit digits of said power sequence.

For instance, given the task of ascertaining the unit digit of 325^725, let us observe the recurrent pattern concerning 5's power line:

[tex]5^1 = 5\\5^2 = 25\\5^3 = 125\\5^4 = 625\\5^5 = 3125[/tex]

It is readily evident that the final digit of 5 raised to any affirmative integer power shall invariably remain as 5. Correlatively, the end figure for 325^725 is also 5.

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If the total trip takes 12 hours, the speed of the current is 1 mph.

The speed of an object is described as  the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time.

The downstream trip:

distance = rate × time

96 = (18 + x) × t ( 18 + x)

The upstream trip:

distance = rate × time

96 = (18 - x) × (12 - t)

96 = (18 - x) × (12 - t)

8 = x - (x/6)t

We have two equations and two unknowns, so we can solve for x and t.

We solve for x by making t subject fomula and substituting into the equation.

Where x = 1

In conclusion, if the total trip takes 12 hours, the speed of the current is 1 mph.

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The value of  51. 2 divided by 6. 4 using long division is 8.0

To find the value of 512 divided by 64, we can use long division. We start by dividing 5 (the first digit of 512) by 6 (the first digit of 64). Since 5 is less than 6, we bring down the next digit (1) to form the new dividend, 51. We then add a decimal point to the quotient and bring down the next digit (2) to form 512.

We repeat the process of dividing 51 by 6, which gives us 8 with a remainder of 3. We write the quotient (8) above the next digit of the dividend (2) and bring down the next digit (0) to form the new dividend, 30. We continue this process until we have brought down all the digits of the dividend.

At the end of the process, we get a quotient of 8.0, which is the value of our original expression, 51.2 divided by 6.4.

Therefore, 512 divided by 64 is equal to 8.0.

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The order of the given fractions after arranging from least to greatest is 1/5, 2/5, 4/5.

To put the fractions 1/5, 2/5, and 4/5 in order from least to greatest, we can either convert them to decimals or find a common denominator and compare the numerators. Here, we will use the latter method.

First, we need to find a common denominator. The smallest denominator that all three fractions share is 5. So, we can rewrite the fractions as follows:

1/5 = 1/5

2/5 = 2/5

4/5 = 4/5

Now, we can compare the numerators since the denominators are the same. Clearly, 1/5 is the smallest, followed by 2/5, and then 4/5 is the largest.

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As a result, they would pay: 5/6 x $36 = $30 as Kendie's family would shell out 1/6 less than the standard admission price.

In mathematics, the linear approach is a way when resolving issues with direct or negative proportion. It entails figuring out the value of one unit of a quantity and utilising that value to figure out the value of any given quantity divided by that number of units. For instance, using the unitary technique, if we know that 5 oranges cost $10, we may calculate the price of 10 apples by first dividing $5 by 5 to get $2 per apple, multiplying $two by 10 to get $20 for 10 apples, and then using the result to get the price of 5 apples. In industries where proportional correlations are regularly found, like banking, business, and science, the unitary technique is frequently employed.

given

On Sunday, Kendie's family would shell out 1/6 less than the standard admission price, or 5/6 of the standard admission price.

As a result, they would pay: 5/6 x $36 = $30 as Kendie's family would shell out 1/6 less than the standard admission price.

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In the above scenario, it can be estimated with 95% confidence that the true proportion of young adult novels that include a love triangle are between 0.6854 and 0.8890

First we compute the Point Estimate

PE = 59/75 = 0.7867

Next we compute the standard error

SE = √((- - hat x (1 - p- hat) )/n)

= √( (o.7867 x (1 - 0.7867 ))/ 75
= 0. 509

Since the expected confidence level is 95%,

Margin of error = t - critical x S E

= 1.99 x 0.0509
= 0.101291

Thus,

point estimate ± margin of error

0.7867  ±  0.1013

(0.6854, 0.8880)

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(a) To solve this problem, we need to apply the concept of combinations.  We can find the total number of combinations by using the formula:

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

where n is the total number of objects, r is the number of objects we want to select.

Let's assume that we have x pennies, y nickels, z dimes, and w quarters. Since we want to select 25 coins, we can write the equation as x + y + z + w = 25

To find the number of ways to select 25 coins, we need to find the number of solutions to this equation. The total number of combinations is given by: (25 + 4 - 1)C(4 - 1) = 28C3

where we have 25 coins to select and four piles to choose from. Thus, the answer is 28C3.

(b) To solve this problem, we need to use the concept of counting with restrictions. Since we must select at least 5 quarters, we can assume that we have selected 5 quarters and we need to select the remaining 20 coins from the remaining piles. Let's assume that we have x pennies, y nickels, and z dimes. We can write it as x + y + z = 20

To find the number of ways to select 20 coins from the remaining piles, we can use the concept of combinations. The total number of combinations is (20 + 3 - 1)C(3 - 1) = 22C2

Thus, the total number of ways to select 25 coins with at least 5 quarters is given as 10C5 x 22C2

where we have selected 5 quarters from 10 quarters and 20 coins from the remaining piles.

(c)To solve this problem, we need to use the concept of counting with restrictions. Since we can select at most 10 quarters, we need to consider two cases:

(i) We select 10 quarters, and we need to select 15 coins from the remaining piles.

For case (i), we need to select 15 coins from the remaining piles. We can assume that we have x pennies, y nickels, and z dimes. We can write the equation as x + y + z = 15

The total number of ways to select 15 coins is (15 + 3 - 1)C(3 - 1) = 17C2

(ii) We select fewer than 10 quarters, and we need to select the remaining coins from the piles.

For case (ii), To calculate the number of ways, we can use the combination formula to select i quarters out of 10, where i can vary from 0 to 9, and select the remaining (25-i) coins from the remaining piles. We can then sum up the number of ways for all possible values of i to get the total number of ways to select 25 coins with at most 10 quarters.

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the conditional probability of being from London, given that someone is dissatisfied with their city, is approximately 0.452.

what is conditional probability ?

Conditional probability is the probability of an event A occurring, given that another event B has occurred. It is denoted as P(A | B), read as "the probability of A given B"

In the given question,

Based on the provided information, it seems like you have a table showing the number of satisfied and dissatisfied residents in three cities: Tokyo, London, and Washington D.C. You also have the total number of satisfied residents across all three cities.

The expression P(London|no) represents the conditional probability of someone being from London, given that they are dissatisfied with their city.

Using the formula you provided, we have:

P(London|no) = (P(no and London and don)) / (P(London and don))

where "no" represents being dissatisfied with the city and "don" represents being from the city of interest.

From the table, we see that:

P(no and London and don) = 112

P(London and don) = 248

Substituting these values into the formula, we get:

P(London|no) = 112 / (1000 * 248 / 644) ≈ 0.452

Therefore, the conditional probability of being from London, given that someone is dissatisfied with their city, is approximately 0.452.

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The statement that is not true of unnormalized data is option (d) unnormalized data is multivalued data.

Unnormalized data refers to raw data that has not been organized or processed in any way. It may contain redundancies, inconsistencies, and other issues that make it difficult to work with. However, it does not necessarily involve multivalued data.

Multivalued data refers to data that has multiple values for a single attribute. For example, if a customer can have multiple phone numbers, that data would be considered multivalued. Unnormalized data may or may not have multivalued data, depending on the nature of the data itself.

Therefore, the correct option is (d) unnormalized data is multivalued data

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