Answer:
8/14
Step-by-step explanation:
All of the other ratios can be simplified to 2/3
Mary has shorted 1,000 shares of XYZ. XYZ is trading at $100. She has already made significant gains and would like to protect these. Of the choices listed, which of the following would be the best strategies to protect these gains?
I. Buy calls on XYZ
II. Buy puts on XYZ
III. Close out her short position
IV. Use leverage to buy more XYZ
A. I and III
B. I and IV
C. II and III
D. II and IV
The best answer is C: II and III.
To protect her gains, Mary should consider strategies that limit her potential losses. Of the choices listed, the best strategies to protect Mary's gains would be to close out her short position (III) or buy puts on XYZ (II).
Buying calls on XYZ (I) would not protect Mary's gains, as it would only allow her to potentially make more money if the price of XYZ goes up. Buying more XYZ using leverage (IV) would also not protect Mary's gains, as it would expose her to even more risk if the price of XYZ goes down.
Therefore, The best answer is C: II and III.
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A spinner divided into six equal parts. It has three green parts, two purple parts, and one white part. What is the probability of spinning green twice in 2 spins
Answer:
1/4
Step-by-step explanation:
Given that :
Number of green = 3
Number of purple = 2
Number of white = 1
Probability of spinning green twice in 2 spins :
Probability = required outcome / Total possible outcomes
P(green on first spin) = 3 / 6 = 1/2
P(green on second spin) = 3/6 = 1/2
Hence, Probability of spinning green twice in 2 spins will be :
1/2 * 1/2 = 1/4
Which of the following is a subspace of R^3? (A) All vectors of the form(0, a, a^2), (B) All vectors of the form(a+2, a, 0), (C) All vectors of the form (a, b, 2), (D) All vectors of the form(a, b, a-2b)
All vectors of the form(a, b, a - 2b) is a subspace of R³. So, the correct option is option(D).
Subspace:If W is a set of one or more vectors from a vector space V, then W is a subspace of V if and only if
If u and v are vectors in W, then u + v in W. ku is in W if k is any scalar and u is any vector in W.Now, check the options and find out the option which satisfy the subspace conditions.
A) All the vectors are of form (0, a,a²)
let (0,1,1) = u and v=(0,2,4) and both are belongs to { 0, a,a² : a∈R }, (0,0,0)∈ {0, a,a² : a∈R }.
u + v = (0,1,1) + (0,2,4) = (0,3, 5) not belongs to
{ 0, a,a² : a∈R }. So, this is not correct option.
B) Here, (0,0,0) does not belongs to
{0, a, a+2 : a∈R } because if a= 0 then a+2 =/ 0 .
So, it is also not subspace.
C) All vectors of the form (a, b, 2)
The third tuple is 2 which never be equal to zero. Hence, (0,0,0) does not belongs to (a, b, 2) and it is not form subspace.
D) All vectors of the form (a, b, a - 2b)
When a = 0 , b = 0 => (0,0,0) ∈(a, b, a - 2b)
let u = ( a1, b1 , a1- 2b1) and v = ( a₂, b₂ , a₂ - 2b₂)
and α∈R
u + v = ( a₁, b₁ , a₁- 2b₁ ) + ( a₂, b₂ , a₂ - 2b₂)
= ( a₁ +a₂ , b₁+b₂ , a₁+a₂ -2(b₁ - b₂)) €(a, b, a - 2b)
αu = α(a₁ , b₁ , a₁- 2b₁)
=( αa₁ , αb₁ , α(a₁ - 2b₁))∈(a, b, a - 2b)
both the conditions are satisfied, so it is Subspace of R³.
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What is the value of angle b?
Evaluate the expression for x = -1, y = 4 and z = -2.
Write your answer as an integer or round to the nearest hundredth, if needed.
2x — (xy+1)^2 – 2
Answer:
xy(12388)=(87)+7
Step-by-step explanation:
i am stuck and need help:(((
9514 1404 393
Answer:
(c) 2x -6 ≥ 6x -12
Step-by-step explanation:
The first step in the solution process is elimination of parentheses. Doing that makes use of the distributive property of multiplication over addition. The factor outside parentheses (2) multiplies each value inside parentheses: x, -3. The result is ...
2(x -3) ≥ 6x -12
2(x) +2(-3) ≥ 6x -12 . . . . . show how the factor is applied to each term
2x -6 ≥ 6x -12 . . . . . . simplify
Danny's gross earnings for the week are $1655.25 His deductions comprise 25% of his total compensation.
What is his net pay?
Enter your answer rounded to the nearest cent, such as: $4253.64.
A. $1655.50
B. $413.81
C. $2069.06
D. $428.85
EXPLAIN HOW YOU GOT THE ANSWER AS WELL!
Given:
Danny's gross earnings for the week = $1655.25.
His deductions comprise 25% of his total compensation.
To find:
His net pay.
Solution:
We need to find the Danny's net pay, so we have to subtract the deductions from his gross earnings.
So, the net pay is:
\(\text{Net pay}=\text{Gross earnings}-25\%\ of\ \text{Gross earnings}\)
\(\text{Net pay}=1655.25-\dfrac{25}{100}\times 1655.25\)
\(\text{Net pay}=1655.25-413.8125\)
\(\text{Net pay}=1241.4375\)
Round the value to the nearest cent (two decimal places).
\(\text{Net pay}\approx 1241.44\)
Therefore, the the net pay is $1241.44.
Note: All options are incorrect.
Based on the information given, the net pay will be $1241.44.
From the information given, Danny's gross earnings for the week are $1655.25 and his deductions comprise 25% of his total compensation.
Therefore, his net pay will be:
= $1655.25 - (25% × $1655.25)
= $1241.44
In conclusion, the correct option is $1241.44.
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Debbie and Rick are each making a strawberry-rhubarb pie for the Hazelton pie-baking contest. Debbie and Rick use the same amount of strawberries, but Rick uses more rhubarb than Debbie. Whose pie will taste more like strawberries? I would like someone to tell me what the answer is.
Answer:
Debbie have like tasted like strawberry and Rick no he don't
Which equation will solve the following word problem? One small pitcher and one large pitcher can hold 12 cups of water. If the large pitcher is twice the size of the small pitcher, how much does the small pitcher hold? 2S + S = 12 2S = 12/S 2S - S = 12 S = 12/2S
Answer:
Option (1).
Step-by-step explanation:
Amount of water hold by both the pitchers (Large + small) = 12 cups
Let the small pitcher holds the water = S cups
If the water hold by the large pitcher is twice the size of the small pitcher, then the amount of water hold by large pitcher = 2S
Total amount water hold by both = S + 2S
Equation for this situation will be,
S + 2S = 12
Therefore, Option (1) will be the answer.
need help!!!!!!!!!!!!!!!
Answer:
You probably already got this answer
Step-by-step explanation:
!
evaluate the expression when x=4/5 and y=-2/9: 3y-x
Answer:
-2/15
Step-by-step explanation:
h3lp pl34ssssssssssssssssssssssssss
Answer:
n
Step-by-step explanation:
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
m represents the slope.c represents the y-intercept.x and y are the data points.What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the information provided regarding the equations and graphs, the y-intercept are as follows:
The y-intercept of y = 4x + 5 is equal to 5.The y-intercept of this graph with point (0, 4) is 4.Read more on y-intercept here: brainly.com/question/19576596
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Please help I need this will give 100 points please help
The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:
-∞ < x < 1 or 1 < x < 6 or 6 < x < 2
Solving Inequality in a given domainGiven the inequality,
f(x²-2) < f(7x-8) over D₁ = (-∞, 2)
We need to find the values of x that satisfy this inequality.
Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.
First, we can find the values of x that make the expressions inside the function equal:
x² - 2 = 7x - 8
Simplifying, we get:
x² - 7x + 6 = 0
Factoring, we get:
(x - 6)(x - 1) = 0
So the values of x that make the expressions inside the function equal are x = 6 and x = 1.
We can use these values to divide the domain (-∞, 2) into three intervals:
-∞ < x < 1, 1 < x < 6, and 6 < x < 2.
We can choose a test point in each interval and evaluate
f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.
Let's choose -1, 3, and 7 as our test points.
When x = -1, we have:
f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)
Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.
When x = 3, we have:
f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)
Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.
When x = 7, we have:
f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)
Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.
Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:
-∞ < x < 1 or 1 < x < 6 or 6 < x < 2
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how to find coefficient of x²in 2+x²+c
Answer:
1 is cofficient of X ²
I hope it's helpful for u ...Help me solve these two problems! Show the work
Answer:
see explanation
Step-by-step explanation:
2
4x² + 64 ← factor out the common factor of 4 from each term
= 4(x² + 16)
3
(a - 10)² = 121 ( take square root of both sides )
a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )
a = 10 ± 11
then
a = 10 - 11 = - 1
a = 10 + 11 = 21
the 2017 market shares are: honda civic 20%, toyota corolla 17%, nissan sentra 12%, hyundai elantra 10%, chevrolet cruze 10%, and ford focus 8%, with other small car models making up the remaining 23%. suppose a sample of 400 compact car sales in a certain large city showed the following number of vehicles sold. honda civic 99 toyota corolla 73 nissan sentra 53 hyundai elantra 45 chevrolet cruze 41 ford focus 26 others 63
There is evidence to suggest that the market share for the Honda Civic in the city is different from its national market share of 20% by using Hypothesis test. 95% confident that the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra is between 0.512 and 0.613.
Conduct a hypothesis test at the 5% level of significance to determine if the market share for the Honda Civic in the city is different from its national market share of 20%. First, we need to calculate the expected frequencies for each category based on the national market shares:
Honda Civic: 0.20 x 400 = 80
Toyota Corolla: 0.17 x 400 = 68
Nissan Sentra: 0.12 x 400 = 48
Hyundai Elantra: 0.10 x 400 = 40
Chevrolet Cruze: 0.10 x 400 = 40
Ford Focus: 0.08 x 400 = 32
Others: 0.23 x 400 = 92
Then, we can use the chi-squared goodness-of-fit test to determine if the observed frequencies in the sample are significantly different from the expected frequencies.
The test statistic is calculated as follows:
chi-squared = sum((observed - expected)^2 / expected)
Using the observed and expected frequencies from the sample, we get:
chi-squared = ((99-80)^2/80) + ((73-68)^2/68) + ((53-48)^2/48) + ((45-40)^2/40) + ((41-40)^2/40) + ((26-32)^2/32) + ((63-92)^2/92) = 14.68
The degrees of freedom for this test are df = k - 1 = 7 - 1 = 6, where k is the number of categories. Using a chi-squared distribution table with 6 degrees of freedom and a significance level of 0.05, the critical value is 12.59.
Since our calculated chi-squared value of 14.68 is greater than the critical value of 12.59, we reject the null hypothesis and conclude that there is evidence to suggest that the market share for the Honda Civic in the city is different from its national market share of 20%.
b) Construct a 95% confidence interval for the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra.
We can use the formula for a confidence interval for a proportion:
CI = p ± zsqrt(p(1-p)/n)
where p is the proportion of interest, z is the critical value from the standard normal distribution (1.96 for a 95% confidence interval), and n is the sample size.
We want to find the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra. From the sample, the total number of sales for these three models is 99 + 73 + 53 = 225. The total sample size is 400.
So, the proportion we are interested in is:
p = 225/400 = 0.5625
Plugging in the values, we get:
CI = 0.5625 ± 1.96sqrt(0.5625(1-0.5625)/400) = 0.512 to 0.613
Therefore, we can be 95% confident that the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra is between 0.512 and 0.613.
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_____The given question is incommplete, the complete question is given below:
Based on 2017 sales, the six top-selling compact cars are the Honda Civic Toyota Corolla_ Nissan Sentra Hyundal Elantra_ Chevrolet Cruze; and Ford Focus (New York Daily News) . The 2017 market shares are Honda Civic 20 %, Toyota Corolla 17%, Nissan Sentra 12 %, Hyundar Elantra 10 %, Chevrolet Cruze 10%_ and Ford Focus 8% with other small car models comprising the remaining 23%. sample of 400 compact car sales in Chicago showed the following number of vehicles sold_ Excel File: datal2-27xlsx Honda Civic Toyota Corolla Nissan Sentra Hyundai Elantra Chevrolet Cruze Ford Focus Others Use goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales_ Using 0.05 level of significance what is the P-value? Use Table of Appendix The p-value Select your answer What is your conclusion? Conclude that the markets shares for the seven compact cars in Chicago Select your GMAAT the market shares reported_ What market share differences, if any; exist in Chicago? Round your answers to three decimal places Enter negative values as negative numbers_ Sample Hypothesized Market Share Compact Car Market Share Honda Civic Difference Toyota Corolla Nissan Sentra Hyundai Elantra Chevrolet Cruze 0.10 0.10 Ford Focus Others 0.23
Solve the inequation x - 12 ≤ 3 - 2x and graph its solution.
Let's do these one-by-one.
The solution to x - 12 ≤ 3 - 2x is:
Answer:
Step-by-step explanation:
x - 12 ≤ 3 - 2x
3x ≤ 15
x ≤ 5
To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT
1/13
Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be
used to find how much money Sandra has on her giftcard after x months?
Answer:
y=20-3x
Step-by-step explanation:
The equation that can be used will be y = 20 - 3x
Amount of gift card that Sandra has = $20
Amount spent each month = $3
Let the remaining amount be represented by y
Therefore, the amount that will remain after x months will be deducted from the original amount that she has which will be:
y = 20 - (3 × x)
y = 20 - 3x
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MATH QUIZ PLEASE HELP <3
Determine whether the following relation is a function.
y= - 3x - 4
Ed has 2 green apples and 6 red apples in a bag. He
randomly grabs an apple for his friend and then randomly
grabs another apple for himself. What is the probability
that they both get a red apple?
The probability that they both get a red apple is, 15/28
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The probability of Ed's friend grabbing a red apple is,
= 6 red apples / (2 green apples + 6 red apples)
= 6/8
= 3/4.
Then, the probability of Ed grabbing a red apple from the remaining apples is,
= 5 red apples / (2 green apples + 5 red apples)
= 5/7.
So, the probability that both Ed and his friend get a red apple is,
= 3/4 x 5/7
= 15/28
Hence, the probability is 15/28
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The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago. The following table shows the approximate number of tiger gars living in the lake since 2016:
2016 2017 2018 2019 2020 2021
322 399 507 618 785 975
Using the TI-nspire calculator, write an exponential function that models the population of tiger gar in the lake. (Round all numbers to the nearest hundredth.)
y=blank(blank)x
The exponential function that models the population of tiger gar in the lake is given as follows:
\(y = 322.63(1.25)^x\)
How to define an exponential function?An exponential function has the definition presented as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.Considering x as the number of years since 2016, the points are given as follows:
(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).
Inserting these points into an exponential regression calculator, the equation is given as follows:
\(y = 322.63(1.25)^x\)
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What are 5 characteristics of George from mice and men
Answer:
George Milton is the somewhat unlikeable protagonist of Of Mice and Men. While Lennie Small, George's companion, is simple-minded and friendly, George is sharp in every way: his physical features are slim and sharp; he has a sharp mind and wit; he is quick-tempered and sharp when dealing with Lennie.
Characters: George Milton, Lennie Small, Curley's Wife
Authors: John Steinbeck
4(2m-5)=2(3m-4)-6m what is the value of M
Answer:
\( \frac{3}{2} \)
Step-by-step explanation:
\(4(2x - 5) = 2(3x - 4) - 6x = \\ 8x - 20 = 6x - 8 - 6x = \\ 8x = 20 - 6 \\ \frac{8x}{8} = \frac{20 - 8}{8} \\ x = \frac{3}{2} \)
hope its clear ♡
Find the area of the shaded regions:
area of Arc subtending \(360^{\circ}\) (i.e. the whole circle) is $\pi r^2$
so area of Arc subtending $\theta^{\circ}$ is, $\frac{ \pi r^2}{360^{\circ}}\times \theta^{\circ}$
$\theta =72^{\circ}$ so the area enclosed by one such arc is $\frac{\pi (10)^272}{360}$
abd there are 2 such arcs, so double the area.
\( \LARGE{ \underline{ \boxed{ \rm{ \purple{Solution}}}}}\)
Given:-Radius of the circle = 10 inchesAngle of each sector = 72°Number of sectors = 2To FinD:-Find the area of the shaded regions....?How to solve?For solving this question, Let's know how to find the area of a sector in a circle?
\( \large{ \boxed{ \rm{area \: of \: sector = \frac{\theta}{360} \times \pi {r}^{2} }}}\)
Here, Θ is the angle of sector and r is the radius of the circle. So, let's solve this question.
Solution:-We have,
No. of sectors = 2Angle of sector = 72°By using formula,
⇛ Area of shaded region = 2 × Area of each sector
⇛ Area of shaded region = 2 × Θ/360° × πr²
⇛ Area of shaded region = 2 × 72°/360° × 22/7 × 10²
⇛ Area of shaded region = 2/5 × 100 × 22/7
⇛ Area of shaded region = 40 × 22/7
⇛ Area of shaded region = 880/7 inch. sq.
⇛ Area of shaded region = 125.71 inch. sq.
☄ Your Required answer is 125.71 inch. sq(approx.)
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Can I get some help plz
PLEASE HELP AND DO NOT SEND A LINK IF YOU DO YOU WILL BE REPORTED
I need help with this I don't know if I'm getting this right please help and give explanations as well
Step-by-step explanation:
Answer 1 :\( \to 3 \times \dfrac{1}{3} \\ \\ \to\dfrac{3 \times 1}{3} \\ \\ \to\dfrac{3}{3} \\ \\ \to\pmb{1}\)
Answer 2 :\( \to5 \times \dfrac{2}{4} \\ \\ \to \dfrac{5 \times 2}{4} \\ \\ \to \dfrac{10}{4} \\ \\ \to \dfrac{5}{2} \\ \\ \to \pmb{2 \dfrac{1}{2} }\)
Answer:
Number 1 : Answer is 1
Number 2: Answer is 2 1/2
Step-by-step explanation:
1)
We are multiplying 3 and 1/3
3 can be written as 3/1
Multiply:
\(\frac{3}{1} * \frac{1}{3} = \\\\\frac{3 * 1}{1 * 3} = \\\\\\\frac{3}{3} = 1\)
2)
We are multiplying 5 and 2/4
2/4 can be written as 1/2 because 2 is the half of 4
\(\frac{5}{1} * \frac{1}{2} = \\\\\\\frac{5}{2} = 2 \frac{1}{2}\)
If my answer is incorrect, pls correct me!
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-Chetan K
Which shape depicts the cross-section?
O A.
OB.
O C.
D.
The shape generated by the cross-section is a rectangle. So the correct option is D.
Which shape depicts the cross-section?Notice that the cross-section goes through two opposite sides of the cube.
Then the shape that we will get will also be a quadrilateral of parallel sides. Notice that if the plane was parallel to the square, the cross-section would be also a cube, but because it is slanted, one of the sides will be larger, then we will get a rectangle, thus, the correct option is the last one.
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Which statement is correct about the system of linear equations graphed below?
VX
+
2
1
1
2
2
The system of equations has one solution because the lines will eventually intersect.
O The system of equations has one solution because the lines will never intersect.
The system of equations does not have one solution because the lines will eventually intersect.
The name rintinnn dannnathavannenlistinn hann the linell RAUA internant
Answer:
The two lines are coincident (essentially the same line) so every point on the line is a solution. Normally you would say they have infinitely many solutions.
An example of this would be:
y = 2x + 3
2y = 4x + 6
The statement that matches this situation would be D.
Answer:
D. The system of equations does not have only one solution (it has infinitely many) because the lines do not intersect at *only* one point.
Step-by-step explanation:
Subtract and reduce to lowest terms: 4 - 5/8
Answer: 3 3/8
Hope this helps!