The weighted mean takes into account the weight of each investment and can provide a more accurate measure of the overall rate of return on the portfolio than the mean or median.
The weighted mean, mean, and median overall rate of return on this investment portfolio can be calculated using the following formulas:
Weighted Mean: Weighted mean = (R1 x W1) + (R2 x W2) + (R3 x W3) + ...
Mean: Mean = (R1 + R2 + R3 + ...) / N
Median: Median = (N + 1) / 2
where R1, R2, etc. are the returns on individual investments, W1, W2, etc. are the weights assigned to each investment, and N is the total number of investments in the portfolio.
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Which of the following would not be used to describe a slope?
steepness of a line.
ratio of rise to run of a line.
ratio of the vertical change to the horizontal change of a line.
Attempted
ratio of the horizontal change to the vertical change of a line.
The ratio of the horizontal change to the vertical change of a line would not be used to describe a slope. Thus the correct option is option C.
The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run) of a line.
Slope=Vertical Change/Horizontal Change
This is also represented as the "ratio of rise to run of a line".
Slope=Rise/Run
In the given question, however, option C states that the "ratio of the horizontal change to the vertical change of a line".
Horizontal Change/ Vertical Change= 1/slope
This is an incorrect statement since the ratio of the horizontal change to the vertical change of a line is the reciprocal of the correct ratio.
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a little boy is placing 20 of his marbles in a row. if 12 are red and 8 are blue and he decides not to place 2 blue marbles next to each other, how many arrangements of the marbles are possible?
There are 1287 ways of arranging 8 blue marbles and 12 red marbles without placing 2 blue marbles next to each other.
What is a combination?
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
Here, we
Consider lining up all the blue marbles and placing one red marble in between them. Let that arrangement be fixed. The remaining red marbles will be 5 red marbles. Note that the arrangement will be:
x BR x BR x BR x BR x BR x BR x BR x B x
Note that this is the same even if our arrangement is
x B x RB x RB x RB x RB x RB x RB x RB x
There is a total of 13 places to arrange 8 blue marbles among 12 red marbles.
8 marbles can be placed in ¹³C₈ ways
Total possible arrangements = ¹³C₈ = 1287
Hence, there are 1287 ways of arranging 8 blue marbles and 12 red marbles without placing 2 blue marbles next to each other.
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can 2 2/3 be simplified
Answer:
2 and 2/3 is the simplest form
Step-by-step explanation:
2 and 2/3 is the simplest form. Other forms are listed below.
A mixed number is an addition of its whole and fractional parts.
Addition 2 + 2/3
Improper Fraction: 8/3
Decimal Form: 2.(6 recurring)
Mixed Number Form: 2 and 2/3
what is the value of r of the geometric series?
Value of r is different for every series
let
a , b , c , d ..... be geometric series then
r = b/a or d/c and so on
where r is common ratio
Which description explains how the graph of f(x)=√x could be transformed to form the graph of g(x)=√x+4?
a)horizontal shift of 4 units right
b)horizontal shift of 4 units left
c)vertical shift of 4 units up
d)vertical shift of 4 units down
The graph of f(x)=√x could be transformed to form the graph of g(x)=√x+4 c) vertical shift of 4 units up.
What is Graph Transformation?When functions are changed, the graph's representational curve "moves to the left/right/up/down," "expands or compresses," or "reflects."
A vertical movement of 4 units up is the explanation for how the graph of f(x)=x might be changed to become the graph of g(x)=x+4.
What are a function's 4 transformations?Translations, reflections, and dilations are the three different forms of transformations. A function can be transformed in one of two ways: vertically (affecting the y-values) or horizontally (affects the x-values). The function's equation, which includes the four transformation variables, is shown below (a, b, h, and k).
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Find x and find angle b
Name a pair of vertical angles, a straight angle, and two acute angles
other than
Step-by-step explanation:
While there are no examples available, there is the room to understand each angle type you listed, vertical angles are angles that are opposite from each other, and they are congruent (they have the same angle in degrees) now, imagine that for vertical angles, they are in an X top and bottom are equal, and the two sides are equal. For a straight angle, that is usually two angles that are right angles (90 degrees) back to back, meaning when you add 90 and 90 degrees together, you get a straight line or a 180 degree angle. An example of an acute angle is any angle less than 90 degrees, that is a real number, so imagine 25, 40, and 60 as all acute angles.
Hope this helps you identify them in your problem!
Find the mode
12,14,12,16,15,13,14,18,19,12,14,15,16,15,16,16,15,17,13,16,16,15,15,13,15,17,15 14,15,13,15,14.
Answer:15 i think
Step-by-step explanation:
mode is the number that occurs the most
You decide to make homemade lemonade for your party. You make x gallons of lemonade and decide to make 3 more gallons. You then pour all the lemonade equally into 5 pitchers. How much lemonade, in gallons, is in each pitcher?
Answer:
(x+3)/5
Step-by-step explanation:
Answer:c
Step-by-step explanation:
A certain dining room can be described by the region bounded by the y axis, z axis and the lines y-25-52 and y-z+3. The dining room has to be tiled by linoleum, which costs P100.00/m². Find the cost of linoleum needed to cover the dining room
The cost of linoleum needed to cover the dining room is P296,450.00 for the region.
The given problem is related to the "region" and "cover". We have to find the cost of linoleum needed to cover the dining room.
Let's solve this problem step by step:
Given, the region bounded by the y-axis, z-axis and the lines y - 25 - 52 and y - z + 3.
We know that the formula of area bounded by the curve is given by \(`∫ f(y) - g(y) dy`\) where f(y) is the upper curve and g(y) is the lower curve. In this problem, the lower curve is z = 0. The upper curve y - 25 - 52 = y - 77 => y = 77 is the upper curve.
Therefore, the area bounded by the curve is given by: \(∫0^77 y-77dy= [(77)^2/2] - [(0)^2/2] = 2964.5 m²\)The linoleum costs P100.00/m², therefore the cost of linoleum needed to cover the dining room is:
Cost = 100 x 2964.5= P296,450.00
Therefore, the cost of linoleum needed to cover the dining room is P296,450.00.
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How much do you think a 12lb cat would weight on the moon? How did you decide that mathematically (bases on the information from the picture of a bunny and dog above)
Answer:
1.98
Step-by-step explanation:
Weight on earth/ 9.81 m/s^2 * 1.622m/s^2
Answer:
the moon has a gravitational force of 1.622m/s2 you multiply the object by the quantity to get the answer you need for how much it weighs on the moon
Step-by-step explanation:
What is the slope of this line?
Answer:
3
Step-by-step explanation:
The slope is rise/run and for this case, it is 3/1 which equals 3!!!
Select the correct formula to solve for x.
cos (33) = x/14
sin (33) = x/14
cos (33) = 14/x
sin (33) = 14/x
Answer: Choice B) sin (33) = x/14
This is because the sine of an angle is equal to the opposite side over the hypotenuse
sin(angle) = opposite/hypotenuse
sin(33) = x/14
We can't use cosine because we don't have a variable for the adjacent side.
NEED HELP! [URGENT] Submit the worksheet with your constructions to your teacher to be graded.
give me more details. that's a bit confusing
For a dinner party, Myra is creating individual servings of appetizers. She has 15 carrot sticks
and 18 celery sticks. If she wants each serving to be identical, with no food left over, what is
the greatest number of servings Myra can create?
Answer:
We’ll, 18 and 15 have only 1 number in common and that’s 3. So if you go back a little (divide by 3) you get to 6 and 5. So she only gets 3 servings
Step-by-step explanation:
Emily has $40 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much interest will she earn in 2 years?
Answer:
$48.
Step-by-step explanation:
Annual means yearly.
The question is asking how much will Emma earn after 10% interest for 2 years.
To solve:
Find 120% of $40. This represents 100% (40) and 20% interest for the 2 years.
Round to the nearest cent if it's necessary.
Let's solve:
Let's find 20% of $40 first.
Divide 40 by 5:
$8 is 20% of 40.
Add 8 to 40:
8 + 40
= 48.
48 is your answer.
*48 represents 10% interest for 2 years.
What number is a multiple of both 5 and 15?
Answer:
five because 5×3 is 15 and 5×1 is 5
I seriously hate my fat finger xd help
Answer:
They are equal to one another
Step-by-step explanation:
1/2 is equal to .5, so id you have 6.5 on one side and 6.5 on the other, they are equal.
Answer: =
6 \(\frac{1}{2}\) = 50/100
=6.5
so 6.5 = 6 \(\frac{1}{2}\)
jacob and elizabeth are 210 feet apart when they begin walking directly toward one another. jacob travels at a constant speed of 2.5 feet per second and elizabeth travels at a constant speed of 4.5 feet per second. let t represent the number of seconds that have elapsed since jacob and elizabeth started walking toward one another. write an expression in terms of t that represents the number of feet jacob has traveled since he started walking toward elizabeth.
The number of feet Jacob has traveled since he started walking toward Elizabeth is 2.5t .
Let the distance between Jacob and Elizabeth is 210 feet
Distance = speed x time
Jacob is walking at the constant speed of 2.5 feet per second
and Elizabeth is walking at a constant speed of 4.5 feet per second
Let the distance traveled by jacob be x and distance traveled by Elizabeth be (210 - x)
Let t be time passed when they both started walking towards each other
So the time taken by Jacob to cover x amount of distance is t
so by formula Distance = speed x time
x = 2.5 x t
So number of feet jacob has traveled since he started walking toward elizabeth is 2.5t.
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
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Solve the equation for Y. Then find the value of y for each value of X.
y+2x=5;x=-2,0,4
help me on this pls
Answer:
y=5-2x
2 5-2(2)=5-4=1
0 5-2(0)=5
4 5-2(4)=5-8=-3
what’s the answer ??
pls help!!
can u plz take a more clearer photo of the problem and also try to elaborate
please help me to solve this problem
Answer:
\(\sqrt{3} + \frac{5\sqrt{3} }{6}\)
Step-by-step explanation:
tan(30°) = \(\frac{\sqrt{3}}{3}\)
cot(30°) = \(\sqrt{3}\)
sin(60°) = \(\frac{\sqrt{3}}{2}\)
\(\frac{\sqrt{3} }{3} +\sqrt{3} +\frac{\sqrt{3}}{2} = \sqrt{3} +\frac{5\sqrt{3} }{6}\)
Answer:
4\(\sqrt{3}\)/3
Step-by-step explanation:
tan 30 = \(\sqrt{3}\) /3
cos 30 = \(\sqrt{3}\)/2
sin 60 = \(\sqrt{3}\)/2
=> Total = \(\sqrt{3}\) /3 + \(\sqrt{3}\)/2 x 2 = 4\(\sqrt{3}\)/3
A certain brand of flat white interior latex paint claims one-coat coverage of 430 square feet per gallon. The standard deviation is known to be 18. A sample of 27 gallons is tested.
(a) At α = .01 in a left-tailed test, find the β risk and power assuming that the true mean is really 410 square feet per gallon.
In a left-tailed test with α = .01, the β risk (Type II error) and power are calculated for a sample of 27 gallons of flat white interior latex paint, with a claimed coverage of 430 square feet per gallon and a known standard deviation of 18. Assuming the true mean is 410 square feet per gallon, the β risk is approximately 0.268 and the power is approximately 0.732.
To calculate the β risk and power, we need to determine the critical value for the test statistic and compare it to the true mean. In this case, it is a left-tailed test with α = .01, which means we reject the null hypothesis if the sample mean is significantly lower than the claimed mean.
First, we find the critical value corresponding to α = .01. Since the sample size is large (n = 27), we can use a Z-test. The critical value is found using the standard normal distribution table, giving us a critical Z-value of -2.33 (approximately).
Next, we calculate the standard error of the mean, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is 18 / √27 ≈ 3.46.
Then, we calculate the test statistic, which is the difference between the sample mean and the claimed mean, divided by the standard error. The test statistic is (410 - 430) / 3.46 ≈ -5.78.
Using the critical value and the test statistic, we find that the test statistic is less than the critical value, indicating that we reject the null hypothesis. This means that there is evidence to suggest that the true mean coverage is lower than the claimed mean.
To calculate the β risk, we need to find the Z-value corresponding to the difference between the true mean (410) and the claimed mean (430), divided by the standard error. The Z-value is (410 - 430) / 3.46 ≈ -5.78. Looking up this Z-value in the standard normal distribution table, we find the corresponding probability is approximately 0.000, which is the β risk.
Finally, the power is calculated as 1 minus the β risk, giving us a power of approximately 1 - 0.000 = 0.999 or 99.9%. This means that there is a high probability (99.9%) of correctly rejecting the null hypothesis when the true mean is 410 square feet per gallon.
In conclusion, at α = .01 in a left-tailed test, assuming the true mean is 410 square feet per gallon, the β risk is approximately 0.268 (26.8%) and the power is approximately 0.732 (73.2%). These values indicate that there is a moderate risk of committing a Type II error (failing to reject the null hypothesis when it is false) and a relatively high power to correctly detect a significant difference between the claimed and true means.
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−8x 4y>3 6x−7y<−5 is (2,3) a solution of the system?
The ordered pair (2,3) is not a solution of the system
How to determine if (2,3) a solution of the system?From the question, we have the following parameters that can be used in our computation:
−8x + 4y > 3
6x - 7y < −5
The solution is given as
(2, 3)
Next, we test this value on the system
So, we have
−8(2) + 4(3) > 3
-4 > 3 --- false
This means that (2,3) is not a solution of the system
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7. What is the volume of a cylinder with a radius of 5and a height of 3?A. 30mB. 45mC. 75mD. 120m
Given
\(\begin{gathered} r=5 \\ h=3 \end{gathered}\)The formula of the volume of a cylinder
\(Volume\text{ of a cylinder=}\pi r^2h\)Substitute the given to the volume
\(\begin{gathered} Volume=\pi\times5^2\times3 \\ Volume\text{ =75}\pi \\ Volume=\text{ 235.62 unit}^3 \end{gathered}\)The volume of a cylinder with a radius of 5 and a height of 3 is
\(235.62\text{ unit}^3\)please help me with this question
Answer:
About -6
Step-by-step explanation:
In a standard deck of 52 cards, you are getting two cards. Find the probability of picking a king, and then another king.
Answer: P(King AND King) = 1/221
Step-by-step explanation:
There are 4 Kings in a deck of 52 cards total
Probability of getting a King first time:
P(King) = 4/52 > 4 Kings out of 52 total cards
P(King) = 1/13 >reduced fraction by dividing top and
bottom by 4
Probability of getting another king:
P(King) = 3/51 > You took out a king so there are 3 left and 1
less to the total making 51
P(king) = 1/17 >Reduced by dividing top and bottom by 3
Probability of getting king and then king again. The second king is dependent on you getting a king the first time. Because it is dependent, you multiply the 2 probabilities
P(King AND King) = (1/13)(1/17)
P(King AND King) = 1/221
the waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 6 minutes. find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
The probability of a person being randomly choosing having waiting time greater than 4.25 is 0.2917 or 29.17%.
To answer this question we need to know about-
Probability is the measure of the likelihood of an event to happen. The probability value ranges between 0 and 1.
When the probability value is 0, it means that the event is impossible to happen.
When the probability value is 1, it means that the event is certain to happen.
Uniform distribution is when the values of a probability distribution are spread uniformly across the interval, it is called a Uniform distribution
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 6 minutes.
The probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is found as follows:
Let X = Waiting time of a randomly selected passenger P(X > 4.25) = ?
Now we have to use the uniform distribution formula to find the probability:
P(C< X >D)=C-D/B-A
where C = lower value of the selected interval
D= upper value of the selected interval
B= highest value of the selected interval
A= lowest value of the selected interval
putting above values in the formula -
P(X > 4.25) = 6 - 4.25/6-0= 0.2917
Hence the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is 0.2917.
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One week, Brody earned $396.10 at his job when he worked for 17 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $699.00?
Answer:
13 in addition to his first shift, or...
30 without counting his first shift.
Step-by-step explanation:
He gets paid $23.30 per hour ($396.10/ 17), so divide $699.00 by 23.3 to get how many hours he would need to work in order earn the $699.00. (starting from $0)
if you need to know how many MORE hours he would need to work to get to $699.00 then you do the following
$699.00 - $396.10 = $302.90 (how much more money he needs)
$302.90 / $23.30 = 13 (how many more hours he will need to work after his first shift of 17 hours)
Answer:
Step-by-step explanation:
First you have to divide 396.10 by 17 to get $23.30 which is how much he earns per hour. Then you divide 699.0 by 23.30 to get 30 hours.
In the result x2(3) = 8.4, p < 0.05, what is x2? significance level chi square critical value degrees of freedom
The 3 represent the degree of the freedom in the given equation.
According to the statement
we have to find that the in the given statement the digit is 3 is represented the term and we have to find that term.
So, For this purpose, we know that the
The given statement is:
X^2(3) = 8.4, p < .05,
From this it is clear that the
Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.
This represent the independent values in the given statement also.
So, The 3 represent the degree of the freedom in the given equation.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
In the result X^2(3) = 8.4, p < .05, what is 3 represent from the given questions?
a. the observed value
b. the critical value
c. the significant level
d. degrees of freedom
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