Answer:
1)
the mean rate of return is 17 %
the standard deviation of return is 17.06055
2)
the probability that Marvin's portfolio will make at least 20% over the next 12 months is 0.4325
Step-by-step explanation:
Given the data in the question;
1)
For the portfolio, the mean return and standard deviation are computed as follows;
Mean = Return = 0.65 × 10 + 0.35 × 30
= 6.5 + 10.5
= 17 %
Therefore, the mean rate of return is 17 %
Standard deviation will be;
σp = √( 0.65² × 15² + 0.35² × 40² )
= √( 0.4225 × 225 + 0.1225 × 1600 )
= √( 95.0625 + 196 )
= √291.0625
= 17.06055
Therefore, the standard deviation of return is 17.06055
2)
probability that Marvin's portfolio will make at least 20% over the next 12 months.
P( X > 20 )
we convert to a standard normal variable;
Z = [tex]\frac{20-17}{17.06055}[/tex] )
Z = 0.17
from z table, p-value is;
p( X < 20 ) = 0.5675
P( X > 20 ) 1 - 0.5675 = 0.4325
Therefore, the probability that Marvin's portfolio will make at least 20% over the next 12 months is 0.4325
kalya walks 3 7/10 miles each day what is the total of miles she walks 31 days
Answer:
114.7
Step-by-step explanation:
im smart fam
Consecutive angles in a parallelogram
are
A. supplementary
B. convex
C. congruent
D. acute
E parallel
The consecutive angles in a parallelogram are supplementary
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , In a parallelogram, consecutive angles are always supplementary, which means the sum of two consecutive angles is always 180 degrees
This property holds true for all parallelograms
Hence , the consecutive angles are supplementary
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pretty please help me!!! i’ll mark brainliest! i tried putting this at 13 points!
Answer:
m∠T = 54°
Step-by-step explanation:
The measure of a straight line is 180°. (Linear angles theorem)
So, m∠WMT + 117° = 180°
m∠WMT = 180 - 117 = 63°
The base angles in an isoceles triangle are equal in measure (base angle theorem)
So,
m∠MWT = m∠WMT
m∠MWT = 63°
The sum of angles in a triangle is 180°. (Sum of angles in a triangle theorem) So,
m∠MWT + m∠WTM + m∠WMT = 180°
Substitute the measures we already found.
63 + m∠WTM + 63 = 180
Simplify.
126 + m∠WTM = 180
m∠WTM = 54°
m∠T = 54°
I hope this helps! Feel free to ask any questions!
Answer:
54°
Step-by-step explanation:
First calculate Angle WMT as: 180° - 117° = 63°
And note that Angle WMT = Angle MWT = 63°
Therefore, Angle T = 180° - 63° - 63°
Angle T = 54°
What is the remainder when 20152015 is divided by 2014?
Answer:
.9657
Step-by-step explanation:
The figure below shows a line graph ad two shaded triangles that are similar
Solve by elimination:
-20x-20y=0
-8x-8y=0
Answer:
Step-by-step explanation:
-20x-20y=0 -8x-8y=0
Substitute
-8(-y)-8y=0
simplify
0=0
x=-y
What is the solution to this system of equations? x+y=2 y-7=2 x+y-7=3
Answer:
Use photo math, it will explain all the steps
A theatre has 46 rows.
There are 42 seats in each row.
During a show at the theatre, there are 50 empty seats.
Work out how many people are watching the show.
Answer:
1882
Step-by-step explanation:
46x42=1932 1932-50=1882
Solve 7x – 9 = 28 + 4(x – 1).
A cone shaped ice cream cone is 6.0 inches tall the base of ice cream cone has a circumference of 9.5 inches what is the approximate volume of the ice cream cone
Answer:
14.32
Step-by-step explanation:
I rounded the answer slightly btw
Jada was at the state fair from 8:45 am until 11:00 am. How much time did Jada spend at the state fair?
Answer:
Jada spent 3 hours and 15 minutes at the state fair.
Step-by-step explanation:
She started at 8:45 am and left at 11:00 am.
So 8:45 to 9 is 15 minutes.
So how far away is 9 am to 11 am?
11 - 9 = 3
3 hour difference
But remember to add the 15 minutes from the 8:45 to 9
Jada spent 3 hours and 15 minutes at the state fair.
You pick one tile without looking from a bag that has 2 blue, 3 red, and 5 yellow tiles. Find each probability. Write your answer in simplest form.
Answer:
Blue: 1/5
Red: 3/10
Yellow: 1/2
if y/8=4,then y/8x 8=4x
Answer:
y = 32
Step-by-step explanation:
y/8 = 4
multiply both sides by 8:
y = 4 x 8 = 32
Miguel is making trail mix. He uses 5 1/3 ounces of nuts and 2 3/4 ounces of raisins. Which
of these is a reasonable estimate for how much more nuts Miguel uses than raisins?
HELP FAST
Help very urgent!!!!
I think it's B
But it could be C
Or maybe A
Perhaps it might be D
Step-by-step explanation:
Suppose Y is a random variable with = 0, and = 1, skewness = 0, and kurtosis = 100. Explain why n random variables drawn from this distribution might have some large outliers. A. There might be some outliers because the skewness of the distribution equals 0. B. There might be some large outliers because both, the population variance and standard deviation , are equal to 1. C. There might be some outliers because the kurtosis of the distribution equals 100. D. There might be some large outliers because the population equals 0.
Answer:
C. There might be some outliers because the kurtosis of the distribution equals 100.
Step-by-step explanation:
Kurtosis is about the tail of the distribution. High kurtosis means that the data is heavily in the tails or outliers. The kurtosis of the distribution is 100 means there are outliers and the data lies in the tails. The skewness of the data set is determined by the outliers.
Help me find m angle k
Answer:
angle k is equal to 58 and angle is equal to 60
Write the rule for the nth term of the sequence 2, 6, 18, 54, ... Then find a8.
Answer:
Multiply by 3
a8 = 4,374
Step-by-step explanation:
Which of the following could not be a value for x?
Answer: its B or D
Step-by-step explanation: please tell if im wrong
help pls all the questions i dont get it :(
Answer:
A. The graph is not proportional, although it has a consistent slope, it does now go through the point of origin or (0,0). The equation of a proportional line is y=kx, so the y-intercept must be at (0,0).
B. Slope is found by [tex]\frac{rise}{run}[/tex], from 1 point to the next, the y-value (rise) increases by 2 and the x-value (run) increases by 1, [tex]\frac{4}{1} = 4[/tex] giving us a slope of 4.
C. The y-intercept is the lines point of intersection with the y-axis. In the graph, this point is (0,10).
D. y = mx + b is the slope-intercept form where m is the slope and b is the y-intercept, the slope (m) is 4 and the y-intercept (b) is 10. y = 4x + 10
E. The equation is not proportional because the b value is 10 rather than 0.
Answer:
A. The graph is not proportional. I know this because the line doesn't go through the origin (0, 0). B. The slope (m) of the graph is 4. C. The y-intercept is 10. D. The equation in slope-intercept form is y=4x+10. E. The equation is not proportional. I know this because the line began from 10.
Step-by-step explanation:
The graph will be proportional when the line goes through the origin, (0, 0). The equation [tex]m=\frac{y2-x2}{y1-x1}[/tex] is used to solve for the slope (m). Pick any given points from the graph that's on the line to solve for slope (m). (0, 10) and (1, 14) makes it easier to solve for "m".
[tex]m=\frac{14-10}{1-0} =\frac{4}{1} =4[/tex] (4 is the slope)
Substitute x and y with any point given to find the y-intercept:
[tex]14=4(1)+b[/tex]
[tex]14=4+b[/tex]
[tex]-4[/tex] [tex]-4[/tex]
----------------
[tex]10=b[/tex]
*Note that the y-intercept is always (0, any number)
Example: (0, -24)
Once you know what the slope and the y-intercept are, you'll have the equation set as y=4x+10.
2x + 5 3x - 2 find the value that would make A||B
Answer:5x + 3
Step-by-step explanation:
Write 5 x 10^6 in standard notation.
Thank you for taking the time to read this!
And I hope you have a good day, Loves!
Also if I'm right can you let me know, please?
Also Also if I am right can I please have Brainliest??
You don't need to, I'm just glad I could help. ^^
(If I did help-)
And don't forget to eat a full meal, and have at least one cup of water today!
The standard notation of the number 5 × 10⁶ would be 50,00,000.
Used the concept of scientific notation that states,
Scientific notation is a way of writing very large or very small numbers.
For example; 230,000,000 can be written in scientific notation as
2.3 x 10⁸.
Given that the number is,
5 × 10⁶
Now it can be written in standard notation,
5 × 10⁶
5 × 10 × 10 × 10 × 10 × 10 × 10
5 × 1000000
50,00,000
Therefore, The standard notation of the number is 50,00,000.
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Darnell rented a moving truck, the weight of the truck was 7,860 pounds but the truck is empty, nothing is in there. When he puts the items of his own in the truck, it weighs 6 tons. What was the weight in pounds of the item that Darnell placed in the truck?
Answer:
The item weighed 4140 pounds.
Step-by-step explanation:
1 ton = 2000pounds, 6 tons=12000pounds.
12000-7860=4140pounds.
Evaluate b(x)=5x-5/3x-16 for b(7)
Step-by-step explanation:
5(7) - 5/3(7) - 16
35 - 35/3 -16
19 - 35/3 = 22/3 or 7 1/3
a. Identify the relationship between the two
angles.
b. Write the equation used to represent the
relationship between the two angles.
c. Solve for the unknown variable.
Answer:
a - Mutual
b - (x+21)+(2x+3)=90
c - 3x +24 =90
3x=90-24
3x=66
X=22
What is -456 divided by -18
Answer:
25.3333333
Step-by-step explanation:
Answer: 25.33
Step-by-step explanation:
First yo divide -456 / -18
Last is the result (what you get): 25.33
Find the mean absolute deviation (MAD) of the data in the dot plot below.
Mass of each rock
in Ricardo's collection
numbers 35 36 37 38 39 40 41 42 43 44
Answer: 2 grams
Step-by-step explanation:
Answer:
ANSWER IN THE PHOTO: 2
pls answer asap I'll mark u brainliest
Answer:
a)29
b)70
Step-by-step explanation:
The sum of the interior angles in a triangle is 180.
a)95+56+a=180 b)40+2b=180
151+a=180 2b=180-40
a=180-151 2b=140 /2
a=29 b=70
The ordered pair (2, 25) is a solution for which equation(s)? Check all that
apply.
A. y= (x + 2)2
B. y = (2x + 1)2
o c. y = 2x2 + 5
D. y = (x + 3)2
Answer A is correct. C is correct.
Step-by-step explanation:
evaluate this surd √50+√18-√98
.......the answer is 7.26
