An investment has probabilities 0.15, 0.34, 0.44, 0.67, 0.2 and 0.15 of giving returns equal to 50%,
39%, -4%, 20%, -25%, and 42%. What are the expected returns and the standard deviations of
returns?
The expected returns is 33.7% and the standard deviations of returns is 38.73%.
What is standard deviation?In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values.
Now given probabilities are,
probabilities P = 0.15, 0.34, 0.44, 0.67, 0.2 and 0.15
Given returns on the probabilities,
returns r = 50%, 39%, -4%, 20%, -25%, and 42%
So, Expected rate of returns = ∑Pr
⇒ Expected rate of returns = 0.15(50) + 0.34(39) + 0.44(-4) + 0.67(20) + 0.2(-25) + 0.15(42)
⇒ Expected rate of returns = 7.5 + 13.26 - 1.76 + 13.4 - 5 + 6.3
⇒ Expected rate of returns = 33.7%
Now standard deviation S is,
Square root of the difference squared between each value and the mean, multiplied by the probability.
S = √{0.15(50 - 33.7)² + 0.34(39 - 33.7)² + 0.44(-4 - 33.7)² + 0.67(20 - 33.7)² + 0.2(-25 - 33.7)² + 0.15(42 - 33.7)²}
⇒ S = √{0.15(16.3)² + 0.34(5.3)² + 0.44(-37.7)² + 0.67( - 13.7)² + 0.2(-58.7)² + 0.15(8.3)²}
⇒ S = √{0.15(265.69)+ 0.34(28.09) + 0.44(1421.29) + 0.67( - 187.69) + 0.2(3445.69)²\ + 0.15(68.89)}
⇒ S = √{39.85 + 9.55 + 625.36 + 125.75 + 689.13 + 10.33}
⇒ S = √{1499.97}
⇒ S = 38.73%
Thus, the expected returns is 33.7% and the standard deviations of returns is 38.73%.
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The store is selling lemons at $0.66 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies,each requiring half a cup of lemon juice?
Answer:
$7.92
Step-by-step explanation:
1 lemon = 2 tbsp = $0.66
1 pie = 1/2 cup
So take 3 x 1/2 = 1 1/2 cups. Now we know that we need 1 1/2 cups of lemon juice. So convert 1 1/2 cups into tbsp and you get 24 tbsp. Now since 1 lemon is equal to 2 tbsp divide the 24 tbsp by 2 and you get 12. This 12 represents the amount of lemons you need to buy. Since 1 lemon is $0.66 take that and multiply it by the amount of lemons you need (12x0.66) now you get $7.92.
You need $7.92 to but 12 lemons to make three 9 inch lemon pies.
I hope this helped :)
The cost to buy enough lemons to make three 9-inch lemon pies,each requiring half a cup of lemon juice is $7.92
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
1 cup of lemon juice requires around 16 tablespoons of of juice.
1 lemon = 2 tbsp = $0.66
1 pie = 1/2 cup
number of cups = 3 x 1/2 = 1 1/2 cups.
Now we know that we need 1 1/2 cups of lemon juice. convert 1 1/2 cups into tablespoons and you get 24 tablespoons .
Now since 1 lemon is equal to 2 tbsp divide the 24 tbsp by 2
number of tablespoons = 24/2 = 12.
This represents the amount of lemons you need to buy.
Since 1 lemon is $0.66 take that and multiply it by the amount of lemons number of lemons = (12x0.66) = $7.92.
WE need $7.92 to but 12 lemons to make three 9 inch lemon pies.
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3) If g(x)= 3y - 2x+8, find g(y+10) in simplest form.
Answer:
10g
Step-by-step explanation:
is it me or are people wilden with inappropriate things today on brainly?
Answer: Man, I agree with u.
Step-by-step explanation:
Answer:
hmm havent noticed
Step-by-step explanation:
ppl are wierd that's why I'm an attack helicopter....
This morning, Dakota took a history test. She got 17 out of 34 problems right. What percentage did Dakota get right?
help please!! … help
Answer:
True ................
(b) Find the value of k such that point (3,-2) lies on the locus 2x²-3y² + 2k-6y + 2 = 0
Answer:
[tex]{ \tt{ {2x}^{2} - {3y}^{2} + 2k - 6y + 2 = 0 }} \\ { \tt{ \{x = 3 \: \: and \: \: y = - 2 \}}} \\ { \tt{ {2(3)}^{2} - {3( - 2)}^{2} + 2k - 6( - 2) + 2 = 0}} \\ { \tt{18 - 12 + 2k + 12 + 2 = 0}} \\ { \tt{2k + 20 = 0}} \\ { \tt{2k = - 20}} \\ { \tt{k = - 10}}[/tex]
Answer:
⇒ k=−9
Step-by-step explanation:
then put P(−2, 2) and we get,
x
2
−7x+ky=0
(−2)
2
−7(−2)+k(2)=0
⇒ 4+14+2k=0
⇒ 18+2k=0
⇒ 2k=−18
⇒ k=−9
again point Q(3, a) lies on the locus
the, put Q(3, a) and k=−9. We get
x
2
−7x+ky=0
(3)
2
−7(3)+(−9)×a=0
9−21−9a=0
−9a=+12
a=
9
−12
a=
3
−4
What’s the next number in the pattern, and what is the formula to find the next number in the pattern? 7, 28, 63, 112...
Answer:
7x3
the next number is 336
Step-by-step explanation:
The chart below contains the results of a survey of 25 students who were asked which musical instrument they play best. Instrument Played Best Instrument Students Violin 1 Piano 6 Guitar 2 Drums 3 What percent of the students responded to the survey? 12% 21% 48% 52%
Answer:
12%
Step-by-step explanation:
Add each number of students in the graph together. 1 + 6 + 2 + 3 = 12, so it's 12%.
Percentage of students who responded to the survey is 48 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The total number of students in the survey = 25 students
The number of students who played Violin = 1 student
The number of students who played Piano = 6 students
The number of students who played Guitar = 2 students
The number of students who played Drums = 3 students
So ,
Total number of students who played instruments =
Number of students who played Violin + Number of students who played Piano + Number of students who played Guitar + Number of students who played Drums
Total number of students who played instruments = ( 1 + 6 + 2 + 3 )
= 12 students
Now ,
Percentage of students who played the instruments = Percentage of students who responded to the survey
And ,
Percentage of students who responded to the survey =
( Total number of students who played instruments / Total number of students in the survey ) x 100
Percentage of students who responded to the survey = ( 12 / 25 ) x 100
= 12 x 4
= 48 %
Therefore , percentage of students who responded to the survey = 48 %
Hence , percentage of students who responded to the survey is 48 %
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Please help with these asap
The perimeter of a rectangle is 58 cm. The length is 4x cm, and the width is 9 cm. Find the value of x and write out an equation that you could set up to solve for x.
The first three terms of an arithmetic sequence are as follows 9,4,-1 find the next two terms
The following two terms of an arithmetic progression are -6 and -11.
What is an arithmetic sequence?
An arithmetic sequence is defined as a progression of numbers such that the difference between successive terms is consistent. It is also called Arithmetic Progression. The formula for tthe last term of an AP is given as: an = a + (n-1)d, here, a is the first term, n is the number of terms and d is the difference between two successive terms.
Finding the two terms of an arithmetic sequence
The first three terms of an arithmetic sequence are given by:
a1 = 9
a2 = 4
a3 = -1
Now, we want to calculate a4 and a5
Using the formula for calculating the next term of an arithmetic progression, we get,
a4 = a + (n-1)d, where n = 4 and d = 5
a4 = 9 + (4-1)(-5)
a4 = 9 - 15
a4 = -6
Further, a5 = a + (n-1)d, where n = 5 and d = 5
a5 = 9 + (5-1)(-5)
a5 = 9 - 20
a5 = -11
Hence, the next two terms of an AP are -6 and -11.
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Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 80 sandwiches in all, 8 of which were turkey. What percentage of the sandwiches were turkey sandwiches?
Answer:
10%
Step-by-step explanation:
To find the percent that were turkey sandwiches, divide 8 by 80:
8/80
= 0.1
So, 10% were turkey sandwiches
integers -50-3-(-8) please answer correctly
Answer:
-45
Step-by-step explanation:
Because 2 negatives become a positive:
-50-3 + 8 =
-53 + 8 =
-45
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Bonnie withdrew $1,200 from her savings account. She spent of the money on travel arrangements. She spent of the remaining amount at the hardware store. Finally, she treated her friend to lunch with some of the remaining money. After lunch, Bonnie had $300.50 left. How much money did Bonnie spend on lunch?
Bonnie spent $______on lunch.
Answer:
the answer is 19.50
Step-by-step explanation:
lets start by by reviewing the problem
bonnie withdrew 1200 dollars
she spend 240 on travel agents
then she spends 640 at the hardware store
so if we add all of that up we get 880
then we will subtract that from the total of her money
=320 left but we aren't finished
then she spend some money on lunch
so we would subtract 320 from
300.50
hence getting
19.50 since
mark me as brainiest!!!!
Answer:
the answer is 19.50
Step-by-step explanation:
Write an equation of the line with the given slope and y-intercept.
Answer:
A. [tex] y = \frac{1}{4}x + 2 [/tex].
Step-by-step explanation:
Equation of a line in slope-intercept form, is given as [tex] y = mx + b [/tex].
Given a slope (m) of ¼, and y-intercept (b) of 2, we can get the equation if the line by substituting m = ¼, and b = 2 into [tex] y = mx + b [/tex].
Thus, the equation of the line would be:
[tex] y = \frac{1}{4}x + 2 [/tex].
BRAINLYEST SHALL BE FOR FIRST AWNSER I SEE
Answer:
me
Step-by-step explanation:
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax? +bx+c=0.
The solutions are -11 and 4.
The equation is
= 0.
Luca hired a plumber to fix his sink. She charged $95.50 per hour. If the job took 1.5 hours, how much did Luca owe the plumber?
Answer:
143.25
Step-by-step explanation:
First, you know that 95.50 is an hour well it's 1 hour and 30 minutes( because 1 is the hour and the 5 is half of ten so the 5 would equal 30) so 95.50 divided into 2 is 47.75 so 95.50+47.75=143.25
Answer: 143.25
Step-by-step explanation:
What type of angle is a 31° angle?
A acute angle
obtuse angle
C right angle
Answer:
an acute an angle
Step-by-step explanation:
the angel of 31 is smaller than 90 so that would make it an acute angle
A 31° angle is an acute angle because it measures less than 90 degrees.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
We know that a right angle is always equal to 90 degrees.
Any angle less than 90 degrees is an acute angle
Any angle greater than 90 degrees is an obtuse angle.
A 31° angle is an acute angle because it measures less than 90 degrees. An acute angle is any angle that measures between 0 and 90 degrees.
Hence, A 31° angle is an acute angle because it measures less than 90 degrees.
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Question
Simplify: (-12az2-22³)+(-2a³ +7a²z)-(-4a²z+8az²).
Step-by-step explanation:
if I take the expression as you wrote it literally, we have
(-12az2 - 22³) + (-2a³ + 7a²z) - (-4a²z + 8az²) =
= -24az - 10,648 - 2a³ + 7a²z + 4a²z - 8az² =
= -24az - 10,648 - 2a³ + 11a²z - 8az²
yet when I assume that there were several typos particularly in the first bracket, my guess about the real original expression is
(-12az² - 2a³) + (-2a³ + 7a²z) - (-4a²z + 8az²) =
= -12az² - 2a³ - 2a³ + 7a²z + 4a²z - 8az² =
= -20az² - 4a³ + 11a²z
Juan and his father went on a driving trip.
Juan drove 32 miles more than his father.
Together, they drove 260 miles. How many
miles did Juan drive?
Answer:
162
Step-by-step explanation:
260/2=130
130+32=162
I need help with this math please
Answer:
im answering for points
Step-by-step explanation:
sorry people who wanna answer
Suppose that the probability that it rains on Friday is 80% and the probability that it rains on Saturday is 70%, and the event that it rains on Friday is independent of the event that it rains on Saturday. Find the probability that it DOES NOT RAIN on Friday and it DOES NOT RAIN on Saturday.
A sample of five scores was taken. They were 82, 73, 61, 97, and 83. Find the SAMPLE standard deviation of the scores. (Round to 2 decimal places).
The scores on a nationwide are normally distributed with a mean of 120 and a standard deviation of 20. Find the probability that a randomly selected test-taker scored less than 105. (Round to 4 decimal places)
Answer:
0.06 (6%)
13.31
0.2266
Step-by-step explanation:
1)
Given that :
Probability that it rains on Friday ; P(FR) = 0.8
Probability that it rains on Saturday ; P(SR) = 0.7
P(FR) and P(SR) are independent events
Probability that it does not rain on Friday ; P(FR)' = 1 - P(FR) = 1 - 0.8 = 0.2
Probability that it does not rain on Saturday ; P(SR)' = 1 - P(SR) = 1 - 0.7 = 0.3
Hence, probability that it does not rain on Friday and on Saturday ;
P(FR)' * P(SR)' = 0.2 * 0.3 = 0.06 = 0.06 * 100% = 6%
2)
Given the scores :
82, 73, 61, 97, 83 ;
The sample standard deviation :
Sqrt(Σ(X - m)^2 ÷ n - 1)
n = sample size = 5
m = mean = ΣX / n
m = (82 + 73 + 61 + 97 + 83) / 5 = 79.2
Sqrt((82 - 79.2)^2 + (73 - 79.2)^2 + (61 - 79.2)^2 + (97 - 79.2)^2 + (83 - 79.2)^2) / (5 - 1)
Sqrt(177.2) = 13.311649
Hence, standard deviation = 13.31
3.)
Given that :
Mean(m) = 120
Standard deviation (s) = 20
Probability that randomly taken test taker scores less than 105
P(x < 105)
Obtain the standardized score :
Z = (x - m) / s
Z = (105 - 120) / 20
Z = - 15 / 20
Z = - 0.75
P(Z < - 0.75) = 0.22663 (Z probability calculator)
= 0.2266
Find the GFC of 28 and 30.
GFC =
Answer:
2
Step-by-step explanation:
Find the measure of line segment TR
Answer:
17
Step-by-step explanation:
Answer:
TR = 24 units
Step-by-step explanation:
Given 2 secants from an external point to a circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and whole of the other secant, that is
3x(3x + 5x) = 8(8 + 19)
3x × 8x = 8 × 27
24x² = 216 ( divide both sides by 24 )
x² = 9 ( take the square root of both sides )
x = ± [tex]\sqrt{9}[/tex] = ± 3
but x > 0, thus x = 3
Thus
TR = 8x = 8 × 3 = 24
The Ted Williams Tunnel under Boston Harbor is 2.57
kilometers long. How many meters is the length of the
tunnel?
Answer:m=2570
Step-by-step explanation:2.57kilos= 2570m
Select the better answer for the definition: Step Function.
1.A function that contains a variable under a radical symbol.
2.A function that uses different formulas for different parts of its domain.
3.A function that has a graph resembling a staircase.
4.There is no correct answer given.
5.A function that reverses another function.
Answer:
3
Step-by-step explanation:
it resembles a staircase when graphed
1/3(9x+3)=3x+1 whats the solution
Let's solve your equation step-by-step.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3x from both sides.
Step 3: Subtract 1 from both sides.
Let's solve your equation step-by-step.
1/3 (9x+3)=3x+1
Step 1: Simplify both sides of the equation.
1/3(9x+3)=3x+1
(1/3)(9x)+(1/3)(3)=3x+1(Distribute)
3x+1=3x+1
Step 2: Subtract 3x from both sides.
3x+1−3x=3x+1−3x
1=1
Step 3: Subtract 1 from both sides.
1−1=1−1
0=0
Answer:
All real numbers are solutions.
Catherine and Joseph together bought a play station for $16.4. If Joseph contributed $7.8, determine the amount contributed by Catherine.
Answer she contributed 8.6