The returns from an investment are 4% in Year 1, 7% in Year 2, and 11.8% in the first half of Year 3. Calculate the annualized return for the entire period. (Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Annualized return 6.77%

Answer:

92

Step-by-step explanation:

its 92 because its is a 2-digit number and is considered composite because its divisible by 2, 4, 23 and 46

The largest 2-digit composite number divisible by 46 is 92 and this can be determined by using the definition of composite numbers and by arithmetic operations.

Given :

Number - 46

The following steps can be used to determine the largest 2-digit composite number divisible by 46:

Step 1 - Remember that composite numbers are those numbers that are divisible by more than two numbers.

Step 2 - The two-digit composite numbers which are divisible by 46 are 46 and 92.

Step 3 - The largest number between 46 and 92 is 92.

So, the largest 2-digit composite number divisible by 46 is 92.

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Therefore , the solution of the given problem of function comes out to be  a linear function is the sort of function represented in the table.

The questions on the midterm exam will address each subject, including mathematics, variable design, and real and fictitious locations. a list of relationships between different elements that collaborate to create the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input. Each postbox also has a distinct spot, which might be an enclave.

Here,

When we look at the table, we can see that for every rise of 1 in x, the values of y change at a constant rate.

As a result, it is possible that the function is linear.

=> f(1) = 2 = 1*2

=> f(2) = 4 = 2*2

=> f(3)= 6 = 2*3

The change in y is proportional with the change in x because linear functions change at a constant pace.

As a result, a linear function is the sort of function represented in the table.

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Answer:

a+4b

Step-by-step explanation:

Solution:

7a-b-6a+5b

=7a-6a-b+5b

=1a+4b

So, the answer is 1a+4b

The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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Answer:

last one

Step-by-step explanation:

the first one doesn't have any solution, the second one has infinite solutions.

Answer:

Solution given:

12+3v=27

3v=27-12

3v=15

v=\(\frac{15}{3}=5\)

v=5

12 + 3v = 27

⇛ 3x = 27 – 12

⇛ 3x = 15

⇛ x = 15/3

⇛ x = 5

A) The probability that half of the six employees score more than 85 and half score less is 5/16.

B) The probability that two employees score less than 80, two between 80 and 90, and two above 90 is 105/134217728.

C) The expected number of employees who need to be tested before 3 scores are higher than 90 is 4.

What is probability?

Probability is a measure of the likelihood or chance that a particular event will occur. It quantifies the uncertainty associated with an outcome in a specific situation or experiment.

A) The probability that half of the six employees score more than 85 and half score less is 5/16. This means that out of the six employees, there is a 5/16 chance that exactly three of them will score more than 85 and the other three will score less.

B) The probability that two employees score less than 80, two between 80 and 90, and two above 90 is 105/134217728. This means that out of the six employees, there is a very small chance, approximately 105 in 134 million, that two will score less than 80, two will score between 80 and 90, and two will score above 90.

C) The expected number of employees who need to be tested before 3 scores are higher than 90 is 4. This means that, on average, it will take testing approximately 4 employees until three of them score higher than 90.

These probabilities and expected values are derived based on the given conditions and assumptions about the scoring distribution and independence of the scores.

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Answer:A

Step-by-step explanation:

Answer:

Let n be the number of nickels and q be the number of quarters, then

n + q = 36 . . . (1)

0.05n + 0.25q = 6 . . . (2)

From (1): q = 36 - n . . . (3)

Putting (3) into (2) gives:

0.05n + 0.25(36 - n) = 6

Step-by-step explanation:

The rotation R C, 90° ccw (P) = Q means 90 degrees counterclockwise rotation

The rotation transformation involves moving a shape or point in a circular path about a fixed point.

The rotation statement is given as:

R C, 90° ccw (P) = Q

ccw means counterclockwise rotation

So, the rotation R C, 90° ccw (P) = Q means that:

90 degrees counterclockwise rotation of point P to get point Q

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In this stem and leaf plot, the median of the data is 6.15 and the range is 8.3.

To find the median and range of the data from the stem and leaf plot, we need to first arrange the data in ascending order.

Arranging the data in ascending order:

1.3, 1.5, 3.2, 3.6, 3.9, 5.4, 5.7, 5.7, 5.8, 5.8, 6.0, 6.3, 6.3, 6.3, 7.4, 7.4, 7.5, 7.6, 8.0, 8.1, 8.1, 8.4, 9.5, 9.6

The median is the middle value of the data set. Since there are 24 values, the median is the average of the 12th and 13th values, which are 6.0 and 6.3. Therefore, the median is (6.0 + 6.3) / 2 = 6.15.

The range is the difference between the largest and smallest values in the data set. The largest value is 9.6 and the smallest value is 1.3. Therefore, the range is 9.6 - 1.3 = 8.3.

Thus, the median of the data is 6.15 and the range is 8.3.

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a=6–1b

a=5 ans

b=a/1

b=5/1

b=5ans

.

\( = 1.540 \: {cm}^{3} \)

.

.

Use this formula :

\( = \pi \times {r}^{2 } \times t\)

\( = \frac{22}{7} \times {( \frac{14}{2} )}^{2} \times 10 \\ \)

\( = \frac{22}{7} \times {7}^{2} \times 10 \\ \)

\( = \frac{22}{ \cancel7} \times \cancel{49} \times 10 \\ \)

\( = 22 \times 7 \times 10\)

\( = 154 \times 10\)

\( = 1.540 \: {cm}^{3} \)

.

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Answer:

The probability is 0.5 tiles will be green

Step-by-step explanation:

Hope this helps

Answer:

\( \frac{6 {x}^{2}y - 12 {x}^{4} y + 15 {x}^{3} {y}^{2} - 3 {x}^{2} {y}^{2} }{3 {x}^{2}y } \\ \frac{2 \times 3 {x}^{2}y - 6 {x}^{2} 3 {x}^{2} y + 5xy3 {x}^{2} y - y3 {x}^{2} y}{3 {x}^{2}y } \\ cancel3 {x}^{2} y \: from \: all \: term \\ = \frac{2 - 6 {x}^{2} + 5x y - y }{1} \\ = 2 - 6 {x}^{2} + 5xy - y \\ thank \: you\)

Answer:

1) y=2x-4

2) y=1/4x+2

The chain rule is a formula used in calculus to find the derivative of a composition of functions. It is an important tool for solving problems in many areas of mathematics and science.

The chain rule formula can be stated as follows:

If y = f(g(x)), then the derivative of y with respect to x is given by:

dy/dx = (df/dg) * (dg/dx)

In other words, the derivative of y with respect to x is equal to the derivative of f with respect to g, multiplied by the derivative of g with respect to x.

Here, f and g are functions of x, and y is a function of g. The chain rule formula tells us how to find the derivative of y with respect to x, by taking into account the effect of both f and g on the function y.

The chain rule can be extended to more complex compositions of functions, by applying the formula repeatedly. For example, if y = f(g(h(x))), then the chain rule can be applied twice, as follows:

dy/dx = (df/dg) * (dg/dh) * (dh/dx)

This formula tells us how to find the derivative of y with respect to x, by taking into account the effects of all three functions f, g, and h on the function y.

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Both figures meet the conditions of Cavalieri's Principle because the height of both figures is the same with a value of 16 cm.

Cavalieri's Principle is a geometric principle, which states that if two three-dimensional objects have the same height and their cross-sectional areas are equal at every level, then the two objects have the same volume.

In other words, if two solids have the same height and the same cross-sectional area at every level parallel to the base, then they have the same volume. This principle can be applied to various geometric shapes, such as cylinders, cones, pyramids, cubs and spheres.

The height of figure is 16 cm and the height of figure 2 is 16 cm, so we can conclude that the two figures meet the conditions of Cavalieri's Principle.

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The composition of function is g ( x ) f ( x ) = 5x⁴ - 40x

Given data ,

Let the first function be g ( x ) = x³ - 8

Let the second function be h ( x ) = 5x

So, the composition of functions , g(x) x h(x) would be:

(x³ - 8) (5x)

We can distribute the multiplication to get:

5x ( x³ ) - 5x ( 8 )

On simplifying , we get

A = 5x⁴ - 40x

Hence , the result of the operation g(x) x h(x) is 5x⁴ - 40x

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Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Answer:

47,141

Step-by-step explanation:

I'm pretty sure that's right. Hope I helped <3

Answer:

Its this $47,141

Answer: 11/16

Step-by-step explanation:

1/8=2/16

1/4=4/16

5/16=5/16

add it all together

Answer:

2a+ −11/2

Step-by-step explanation:

Let's simplify step-by-step.

1/4 (16a − 46) − (2a − 6)

Distribute the Negative Sign:

= 1/4 (16a − 46) + −1 (2a − 6)

= 1/4 (16a − 46) + −1 (2a) + (−1) (−6)

= 1/4 (16a − 46) + −2a + 6

Distribute:

= (1/4) (16a) + (1/4) (−46) + −2a + 6

=4a + −23/2 + −2a + 6

Combine Like Terms:

= 4a + −23/2 + −2a + 6

= (4a + −2a) + (−23/2 + 6)

= 2a + −11/2

Answer:

=2a + −11/2

hope this helps. p.s. i really need brainliest :)

Answer:

2a - 5.5

Step-by-step explanation:

1/4(16a - 46) - (2a - 6)

Use the distributive property to multiply 1/4 by 16a−46.

1/4 * 16a + 1/4(-46) - (2a - 6)

4a - 11.5 - (2a - 6)

To find the opposite of 2a - 6, find the opposite of each term.

4a - 11.5 - 2a -(-6)

4a - 11.5 - 2a + 6

Combine 4a and -2a to get 2a.

2a - 11.5 + 6

Add 6 to -11.5 to get -5.5

2a - 5.5

1/4(16a - 46) - (2a - 6) simplified is 2a - 5.5.

Answer:

The degree of overlap between the two distributions is moderate.

Step-by-step explanation:

I got this answer on the test. It is right I promise!

Answer:

The degree of overlap between the two distributions is moderate.

Step-by-step explanation:

i took the test. Also, have a Hamburger while your at it.

The probability of getting a difference in sample means xF − xM of at least 1 minute is 0.1160 or 11.60%.

To find the probability of getting a difference in sample means xF − xM, we need to use the Central Limit Theorem.

For the female students, the sample mean running time x¯f follows a normal distribution with a mean of 8.8 minutes and a standard deviation of 3.3 minutes divided by the square root of 8 (since we are selecting 8 students). Similarly, for the male students, the sample mean running time x¯m follows a normal distribution with a mean of 7.3 minutes and a standard deviation of 2.9 minutes divided by the square root of 8.

Now, we need to find the difference in sample means xF − xM or we want to find the probability of getting a difference of at least 1 minute between the sample means of the two populations.

Using the formula for the difference in sample means, we have:

xF − xM = 8.8 - 7.3 = 1.5

The standard deviation of the difference in sample means is the square root of the sum of the variances of the two populations, which is:

sqrt[(3.3^2/8) + (2.9^2/8)] = 1.255

The z-score for a difference of 1.5 minutes is:

z = (1.5 - 0) / 1.255 = 1.195

Using a standard normal table or a calculator, we can find that the probability of getting a z-score of 1.195 or greater is approximately 0.1160.

Therefore, the probability of getting a difference in sample means xF − xM of at least 1 minute is 0.1160 or 11.60%.

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Answer:

pain

Step-by-step explanation:

The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

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Given:

In ΔDEF, d = 5.3 cm, e = 2.4 cm and f=4.7 cm.

To find:

The measure of ∠F to the nearest 10th of a degree.

Solution:

According to the law of cosine:

\(\cos A=\dfrac{b^2+c^2-a^2}{2bc}\)

In ΔDEF,

\(\cos F=\dfrac{d^2+e^2-f^2}{2de}\)

Putting the given values d = 5.3, e = 2.4 and f=4.7, we get

\(\cos F=\dfrac{(5.3)^2+(2.4)^2-(4.7)^2}{2(5.3)(2.4)}\)

\(\cos F=\dfrac{11.76}{25.44}\)

\(\cos F=0.46226\)

Taking cos inverse on both sides, we get

\(F=\cos^{-1}(0.46226)\)

\(F=62.4669^\circ\)

\(F\approx 62.5^\circ \)

Therefore, the measure of angle F is 62.5 degrees.

Answer:

62.5

Step-by-step explanation: