HELP PLS
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?

Answers

Answer 1
1 1/2+3 1/4
convert 1 1/2 to 1 2/4
1/4 + 2/4 = 3/4
1+3=4 + 3/4 = 4 3/4
turn 6 1/2 to 6 2/4
6 2/4 - 4 3/4 = 1 3/4

Related Questions

match each correlation to the corresponding scatterplot. 13. true or false: r = 0.49 → (2) 14. true or false: r = −0.48 → (2) 15. true or false: r = −0.03 → (4) 16. true or false: r = −0.85 → (1)

Answers

Based on the given statistics, we will shape each correlation to the corresponding scatterplot as follows:

13.True or False: r = 0.49 → (2)

14.True or False: r = -0.48 → (4)

15.True or False: r = -0.03 → (3)

16.True or False: r = -0.85 → (1)

Based on the given records, we need to match each correlation fee to the corresponding scatterplot. Let's analyze every correlation and its corresponding scatterplot in more detail:

13.True or False: r = 0.49 → (2)

A correlation coefficient of 0.49 shows a tremendous correlation among the variables. This means that as one variable will increase, the alternative variable tends to grow as nicely, albeit not flawlessly. In the scatterplot categorized as (2), we'd assume to look at a trendy upward fashion wherein the factors are quite scattered around the road of satisfactory fit.

14.True or False: r = -0.48 → (2)

A correlation coefficient of -0.48 indicates a bad correlation between the variables. This manner that as one variable increases, the opposite variable has a tendency to lower. In the scatterplot labeled as (2), we'd expect to see a standard downward fashion wherein the points are rather scattered around the line of fine match.

15.True or False: r = -0.03 → (4)

A correlation coefficient of -0.03 shows a very weak terrible correlation between the variables. This method that there is almost no relationship between the variables. In the scatterplot categorized as (four), we would count on seeing factors scattered randomly, with no discernible pattern or fashion.

16. True or False: r = -0.85 → (1)

A correlation coefficient of -0.85 shows a sturdy poor correlation between the variables. This method that as one variable increases, the other variable has a tendency to decrease substantially. In the scatterplot labeled as (1), we might count on to peer a clear downward trend in which the factors are tightly clustered around the road of the first-rate match.

By analyzing the strengths and instructions of the correlations, we can suit each correlation value to its corresponding scatterplot as follows:

13. True or False: r = 0.49 → (2)

14.True or False: r = -0.48 → (2)

15.True or False: r = -0.03 → (4)

16.True or False: r = -0.85 → (1)

Please notice that scatterplots provide visible representations of statistics and relationships between variables, and the interpretations might also vary relying on the context and the statistics being analyzed.

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The sum of the first nine terms in a sequence is 49,205. Each term is 3 times the previous term. What is the third term?

Answers

Answer:

       a₃ = 32 805

Step-by-step explanation:

Each term is 3 times the previous term:  

                                                                r = 3

The sum of the first nine terms in a sequence is 49,205:

                                                      [tex]S_n=a_1\cdot\dfrac{1-q^n}{1-q}\\\\\\49205=a_1\cdot\dfrac{1-3^9}{1-3}\\\\49205=a_1\cdot\dfrac{1-19683}{-2}\\\\49205=a_1\cdot9841\\\\a_1=5[/tex]

What is the third term?

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_3=5\cdot3^8=32805[/tex]

HA
2
-X
- 2
2
-2
-4
A.
ys1
B.
1 sys 6
Oc.
y21
D.
all real numbers

Answers

Answer:

Can you please explain this question more thoroughly?

Step-by-step explanation:

it is difficult to understand

The simplified expression is 4x - 23.

Option A is the correct answer.

We have,

To simplify the expression 3(2x - 5) - 2(x + 4), we need to apply the distributive property and combine like terms.

First, distribute the 3 to the terms inside the parentheses:

3 * 2x = 6x

3 * (-5) = -15

Next, distribute the -2 to the terms inside the parentheses:

-2 * x = -2x

-2 * 4 = -8

Now, let's simplify the expression by combining like terms:

6x - 15 - 2x - 8

Combine the x terms: 6x - 2x = 4x

Combine the constant terms: -15 - 8 = -23

Thus,

The simplified expression is 4x - 23.

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The complete question:

Simplify the expression 3(2x - 5) - 2(x + 4).

A. 4x - 23

B. 4x - 7

C. 4x + 13

D. 4x + 7

ill put this up for 50 just please someone help me.

Answers

Answer:

1) Let the dimensions be x for greater size and 1 for unit size

Product is:

x² + 3x + 2x + 6 = x² + 5x + 6

Factors are:

(x + 3) and (x + 2)

2)

Product is:

2x² + 3x + 2x + 3 = 2x² + 5x + 3

Factors are:

(2x + 3) and (x + 1)

can anyone guess what game i was playing by the looks of it

Answers

Answer:

A VR car game and an iphone

Step-by-step explanation:

:)

Please help meee! I will give brainleiest!

Answers

Answer:

64? I'm not sure but because if 1= girls (8 girls) and boys is 8 times more you do 8x8 I think sorry if I'm wrong

Answer:

There are 64 boys

Step-by-step explanation:

If there are 8 girls it would be 8*1

so you would have to multiply 8 by the ratio of boys which is 8*8

which equals 64 boys to 8 girls (8:1)

Your welcome

You are interested in estimating the thic THCurwis of the local adult population of female white-tailed deer (doe). From past data, you estimate that the standard deviation of all adult female white-tailed deer in this region to be 18 pounds. What sample size would you need to in order to estimate the mean weight of all female white-tailed deer, with a 90% confidence level, to within 5 pounds of the actual weight?

Answers

The sample size required to estimate the mean weight of all female white-tailed deer with a 90% confidence level within 5 pounds of the actual weight is 43.

In order to estimate the sample size required to estimate the mean weight of all female white-tailed deer with a 90% confidence level within 5 pounds of the actual weight, the following steps are to be followed:

Step 1: Determine the confidence level and the maximum allowable error

The given confidence level is 90%.

The maximum allowable error is 5 pounds.

Step 2: Determine the population standard deviationThe population standard deviation is given as σ = 18 pounds.

Step 3: Determine the critical value

The critical value corresponding to a 90% confidence level is 1.645.

Step 4: Calculate the sample size formula to calculate the sample size is given as

n = [(z-value)² × σ²] / E² Where n = sample size

z-value = critical value

σ = population standard deviation = maximum allowable error

Substituting the given values in the above formula, we get,n = [(1.645)² × (18)²] / (5)²= 42.68≈43 (approx)

Therefore, the sample size required to estimate the mean weight of all female white-tailed deer with a 90% confidence level within 5 pounds of the actual weight is 43. Answer: 43

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Solve the differential equation
dR/dx=a(R²+16)
Assume a is a non-zero constant, and use C for any constant of integration that you may have in your answer.
R = ?
If anyone helps me, I will give away points.

Answers

the given differential equation dR/dx = a(R² + 16), where a is a non-zero constant, is R = -4/√[tex](16 - e^(2ax + C))[/tex], where C is the constant of integration.

In the first part, the solution to the differential equation is R = -4/√[tex](16 - e^(2ax + C)).[/tex]

In the second part, let's solve the differential equation step by step. We start by separating variables:

dR/(R² + 16) = a dx.

Next, we integrate both sides:

∫(1/(R² + 16)) dR = ∫a dx.

To integrate the left side, we can use a substitution. Let u = R² + 16, then du = 2R dR. This gives us:

(1/2) ∫(1/u) du = ∫a dx.

Simplifying the left side and integrating, we have:

(1/2) ln|u| = ax + C.

Substituting back for u and rearranging, we get:

ln|R² + 16| = 2ax + 2C.

Taking the exponential of both sides, we have:

|R² + 16| = [tex]e^(2ax + 2C).[/tex]

Considering the absolute value, we can rewrite it as:

R² + 16 = [tex]e^(2ax + 2C).[/tex]

Solving for R, we get:

R = ±√(e^(2ax + 2C) - 16).

Simplifying further:

R = ±√(e^(2ax + C) - 16).

Finally, we can rewrite it as:

R = -4/√(16 - e^(2ax + C)).

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A car dealership offers two types of discounts.
• Discount 1: Take 5% off the original price of a car built last year and then receive a
$3,500 rebate.
• Discount 2: Take 10% off the original price of a car built this year and then receive a
$1,250 rebate.
A customer is deciding between two cars.
• Car R was built last year and has an original price of $25,340.
• Car S was built this year and has an original price of $22,860.
Based on this information, which statement is true?
A The customer would pay $19,324 for Car S.
B The customer would pay $24,073 for Car R.
C The customer would pay $21,824 for Car S.
D The customer would pay $23,107 for Car R.

Answers

The best answer to go with is b

Answer:

The customer would pay $19,324 for Car S.

Step-by-step explanation:

Take Car S

$22,860 x .1 (ten percent) = $2,286

$22,860 (original car price) - $2,286 (minus the 10%) = $20,574 (new car price)

$20,574 - rebate of $1,250 = $19,324

The customer would pay $19,324 for Car S.

All other do not come out but this one does, so that is the only option for this!

-2( 3x - 1) = -6x - 1

Answers

Answer:

Yes, that equation is right

Step-by-step explanation:

I don’t know why this is a question, however

Answer:

0 = -3

Step-by-step explanation:

Distribution

− 2 ( 3 − 1 ) = − 6 − 1

− 6 + 2 = − 6 − 1

Subraction (2 from both sides)

− 6 + 2 = − 6 − 1

− 6 + 2 − 2 = − 6 − 1 − 2

Simplify

− 6 = − 6 − 3

Add 6 to both sides

− 6 +6 = − 6 − 3+6

Combine like terms

− 6 +6 = − 6 − 3+6

0=-(6)-3+(6)

0=-3

You put the names of all the students in your class in a paper bag. There are 14 boys and 20 girls. If you draw a name at random, what is P(boy’s name)?

Answers

Answer:

7/17

Step-by-step explanation:

you add the number of students which is 34. Then you take the number of boys and put it over 34 which would be 14/34. when you reduce it the answer will be 7/17.

let me know if this helps!

Solve the equation −6 +x/4 = −5
Pls help

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

-6 + x/4 = -5

-6+6 + x/4 = -5+6

x/4 = 1

x/4 *4 = 1*4

x = 4

hope this helped :)

What is the main cause of tides?

A.
Earth's gravitational pull

B.
the moon's gravitational pull

C.
the moon's rotation around its axis

D.
Earth's revolution around the sun

Answers

I'm not exactly sure on this one but please bare with me haha

High tides and low tides are caused by the moon and tides are really all about gravity(hence why all of these answers have gravitational in them). And, when we are talking about "daily tides" it's the moon that causes them.

The moon's gravity draws in various areas of our world as it rotates. Since the moon is just 1/100th the mass of the Earth, it has enough gravity to shift objects about. The ocean on the moon's far side is still trying to bulge out against it. A high tide is what we term this bulge. (Water is easy to move around too)

This is tidal force, and there are differences between high tides and low tides.
Hello, the answer is:-

The main cause of tides is the moon's gravitational pull.

Hope it helps you...

Answered by Benjemin ☺️








1. Write the following function using unit step functions and then find its Laplace transform: 0

Answers

The Laplace transformation in the given function is = 5 - 8e⁻⁷ˣ/ x

Rewrite f in terms of the unit step function:

f(t) = { y = 5 for 0 ≤ t ≤ 7

    = { x = - 3 t > 7

f(t) = 5{u(t) -u(t -7) - 3u (t -7)}

     = 5u(t) - 8u (t-7)

Recall the time-shifting property of the Laplace transform:

L I u(t - c)f(t -c) I

= e⁻ᵃˣ L[f(t)]

and the Laplace transform of a constant function,

L(K) = k/a

So we have

L{f(t)} = 5u(t) - 8u (t-7)

       = 5 L[1] - 8e⁻⁷ˣ

       = 5 - 8e⁻⁷ˣ/ x

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The given question is incomplete, the complete question is below

Write the following function using unit step functions and then find its Laplace transform:

f(t) = { y = 5 for 0 ≤ t ≤ 7

    = { x = - 3 t > 7

Please help, promise I will mark ya if ur right

Answers

The answer option is D
The answer is D.) h= A/2xr -r

PLEASE HELP!!!! Jul is using the graph of an exponential function to represent the value of an investment where x is the number of years Jul has owned the investment. Which statement correctly describes a key feature of the function?

Answers

Answer: the answer is D

Step-by-step explanation:

Trust me

the domain of the function is x greater than equal to 0.

Answer: The domain of the function is x>0. So D just took the test, got it right!

Step-by-step explanation:

The equation for a parabola has the form y=az? + bz +c, where a, b, and care constants and a 70. Find an equation for the parabola that passes through the points (-1,0), (1,6), and (-3,-14). Answer: y = __

Answers

The equation for the parabola that passes through the points (-1,0), (1,6), and (-3,-14) is y = -2x² + 3x + 1.

To find the equation of a parabola, we need to substitute the given points into the general form of the equation, y = az² + bz + c, and solve for the unknown constants a, b, and c. In this case, we have three points: (-1,0), (1,6), and (-3,-14). We can plug in the x and y values of each point into the equation to obtain three equations.

For the point (-1,0):

0 = a(-1)² + b(-1) + c

For the point (1,6):

6 = a(1)² + b(1) + c

For the point (-3,-14):

-14 = a(-3)² + b(-3) + c

Now we have a system of three equations with three unknowns (a, b, and c). Solving this system will give us the values of a, b, and c, which we can then substitute back into the general equation to obtain the specific equation of the parabola.

To solve the system, we can use various methods such as substitution, elimination, or matrices. However, to keep the explanation concise, I'll provide the solution directly.

Solving the system of equations, we find:

a = -2b = 3c = 1

Substituting these values back into the general equation, we get:

y = -2x² + 3x + 1

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Two angles in a triangle have measures of 18 and 77º.
What is the measure of the third angle

Answers

Answer:

85 ° is the answer to the question

Answer:

85 degrees

Step-by-step explanation:

Angles in a triangle add up to 180 in total so to solve it add the two angles you know so 18+77 which is 95 than you subtract it from 180 so 180 - 95 is 85

Enter values to complete the table below.

PLEASE HELP, DUE IN ONE HOUR AND HAVE LOTS TO DO.
20 POINTS!!

Answers

Answer:

6, 0, 2

Step-by-step explanation:

Divide y by x.

Answer:
6
0
2


If this helped please mark brainliest :)

the area of a rhombus is 24 square inches. What is the are of a similar rhombus that is 7 times as big?

Answers

Answer: 1176

Step-by-step explanation: 7 times as big is an ambiguous term; it could mean that each side is 7 times larger, or that the shape as a whole is made 7 times larger. We'll assume that each side is made larger, because that is typically the type of question asked. The area is given as base times height, and obviously, if you dilate the non-base side by 7, the height will also become 7, because those two lines from a triangle with the third side being the base extended. I wish I could draw you a diagram but i can;t. Either way, think of it as a square, and if we dilate each side by 7, then we have lx7xwx7=Area, which is lw*49=49 times the given area, which is 24; 24*49=1176

Aliyah spent half of her weekly allowance playing arcade games. To earn more money her parents let her mow the lawn for $7. What is her weekly allowance (W) if she ended up with $16? The variable should always go in the first term

Answers

Answer:

who mows the lawn for 7 dollars :/

Step-by-step explanation:

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

A) (2,5)

Step-by-step explanation:

longest side is between points (1,4) and (3,6)

so midpoint is ((1+3)/2), ((4+6)/2), which equals (2, 5)

What is the slope of the line that passes through the
points (4,-7) and (9, 1)?
A) 5/8
B) 8/5
C) -6/12
D)-13/6

Answers

Answer:

C) -6/12

Step-by-step explanation:

Sana nakatulong

martin has read ​20% of a book. He has 8 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

10 pages are in the page if im correct

At a hospital emergency room, a doctor has determined that for every 14
patients injured in a car accident, 6 were not wearing seat belts.
6 no seat belts
14 injured total
If the emergency room saw 420 patients injured in car accidents last
month, what is the best prediction for how many patients were not wearing
seat belts? Round to the nearest WHOLE person.

6 no seat belts = ? no seat belts
___________ ___________
14 injured total 412 injured total​

Answers

Answer:

A prediction of 177 people.

Step-by-step explanation:

6x412=2472

2472/14=176.571428571

Rounded to nearest whole person=177

Please mark me as brainliest.

Please help I'm begging a ACE OR GENES To help me please please help please please ASAP please please help please please ASAP please please help

Answers

Answer:

3/2

Step-by-step explanation:

WX/AB = 12/8 = 3/2

Answer: 3/2

Find the value of x that makes the quadrilateral a parallelogram.
6x
3x + 2
X=

Answers

Answer:

15

Step-by-step explanation: simple math

Answer:

2/3

Step-by-step explanation:

6x = 3x+2

3x = 2

x = 2/3

plssss help

use the property that it says to solve the proportion ty​

Answers

Answer:

the answer is 45 over 6

Step-by-step explanation:

A shortcut is "2 x _____ is 6", which is 3.

Multiply 15 by 3 also, to get 45,

45/6

What is the area of this shape can someone please help

Answers

Answer 10x8=80+3

Step-by-step explanation:

i.d.k 83?????


In the experiment of throwing a dice and flipping a coin,
given:
A: getting a number less than 4
B: getting T on a coin

Answers

The probabilities of:

A: Getting a number less than 4 on the dice is 1/2

B: Getting tails (T) on the coin is 1/2

In the experiment of throwing a die and flipping a coin, let's define the following events:

A: Getting a number less than 4 on the dice (possible outcomes: 1, 2, 3).

B: Getting tails (T) on the coin.

To determine the probabilities of these events, we need to consider the number of favorable outcomes and the total number of possible outcomes.

For event A:

Number of favorable outcomes: 3 (numbers 1, 2, 3)

Total number of possible outcomes on the dice: 6 (numbers 1 to 6)

So, P(A) = favorable outcomes / total outcomes = 3/6 = 1/2

For event B:

Number of favorable outcomes: 1 (tails T)

Total number of possible outcomes on the coin: 2 (heads H, tails T)

So, P(B) = favorable outcomes / total outcomes = 1/2

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Other Questions
A company makes a certain device. We are interested in the lifetime of the device. It is estimated that around 2% of the devices are defective from the start so they have a lifetime of 0 years. If a device is not defective, then the lifetime of the device is exponentially distributed with a parameters lambda = 2 years. Let X be the lifetime of a randomly chosen device. a. Find the PDF of X. b. Find P(X 1).c. Find P(X > 2|X 1). d. Find E(X) and Var(X). Consider a standard AD-AS model.If the marginal propensity to consume is zero, a temporary tax increase leads to a small increase in inflation in the short run but a large increase in inflation in the long run.Answer true or false. Please briefly explain your answer. what is the mass of 6.12 moles of arsenic (as)? 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Using the 68-95-99.7 rute, what is the approximate percentage of lightbulb replacement requests numbering between 21 and 377 Do not enter the percent symbol. ans = % Calculate the sample standard deviation of the data shown. Round to two decimal places. 30 19 29 16 26 25 sample standard deviation Let u(x, t) be the unique solution to the following Cauchy problem. Uttcuxx=0, t> 0, x (-00,00) x (-00,00) u(x,0) = f(x) (u, (x,0) = g(x) XE (-00,00) Where vx R: f(x) = 0, g(x) = {1 (0, |x| a xa for a given constant a > 0. (A) Draw the string profiles (i.e. the values of u vs. x) at the following times: t = 0,; a a 3a 2a Sa 2c' c'2c C for a = c = 1. (B) By using d'Alambert formula show that 1 vt > 0,VxER, u(x, t) = length((x-ct,x + ct) n (-a, a)), where length((a, b)) = b - a is the length of the interval (a, b). Discussion Questions Pick and answer at least three of these questions: What is a debtors union? Do you consider debt as connected to other issues? For example, democracy? How? What is the secondary debt market? Is there a hierarchy of debt? Or debt that is more, or less, good, moral, or worthy of protection by our fiduciary systems? Is there debt that you think is more or less valid? How would you rank these types of debt: Credit care, home loan, consumer, student loan, medical debt, yacht loan, secured debt, unsecured debt, auto loans, other loans? What sort of moral arguments surround debt? Are you in favor, or do you disagree, with canceling student loan debt? Explain why or why not? How do you pay for it? How much debt do you have? What type? (This one is optional:) In a market for used laptops, sellers value high (H) quality ones at $1,250 and low (L) quality ones at $750. Buyers value high quality ones at $1,450 and low quality ones at $910. Assume the buyers have perfect information and the price for H type is $1,300, while the price for L type is $860. The seller surplus on type L is then _____ and the buyer surplus on type H is _____. Group of answer choices110; 150110; 125105; 150105; 125 Eddie is having a mid-life crisis at age 50. In an attempt to prove that he is equivalent to a 20 year-old, Eddie decides to learn to ski jump at an outdoor ski jumping facility in Northern Michigan. In preparation for his jumping lessons, Eddie visits the local alpine ski shop, The Alps, and asks to speak to a trained associate. He specifies that he will be ski jumping in the U.P., and that he will need an affordable set of skis to use in his jumping lessons. The associate selects a pair of skis from a wide variety of possibilities and Eddie leaves the store a "happy flyer" after his purchase.Eddie begins his lessons the following day. Unfortunately, he has a horrific crash while using his new skis during his very first jump off a 40 foot jump ramp. Eddie awakens in the emergency room and sees in horror that both his legs have been broken, he needs extensive surgery and physical therapy afterward and he realizes with great disappointment that he will never be able to fulfill his dream of becoming the next Eddie the Eagle ski jumper, his hero from the Olympics years ago. Further, Eddies notices his skis are propped up next to his bed in his hospital room. They are trademarked-stamped "Terrain Park Beginner skis", with a sticker reading, "Gear intended for small tricks and jumps off beginner features no higher than 3 feet".As a result of this misfortune, Eddie incurs medical expenses of $550,000 for treatment and rehabilitation. His doctor informs him that he has a 20% partial but permanent disability of his legs.Under the UCC, is The Alps store legally responsible for Eddie's medical expenses and permanent disability? Why or why not? How does the UCC apply in this situation? Fully discuss ALL elements of applicable business laws in support of your answer utilizing proper legal terminology. 1) InductivereactanceXLincreases when the frequencyfof the applied voltageVTincreases. (True or False)2) The total impedanceZTin the circuit decreases when the frequency of the applied voltage increases. (True or False)3) The total currentIin the circuit increases when the frequency of the applied voltage increases. (True or False)4) If the frequency of the applied voltage is increased, what is the effect onVRandVL? (Check all that apply.)VRIncreases,VRDecreases,VRRemains constant,VLIncreases,VLdecreases,VLremains constant5) The phase angleZdecreases when the frequency of the applied voltage increases. (True or False) rewrite 12a 24ab using a common factor. 12a(0 2b) 12a(1 2b) 12ab(0 2) 12ab(1 24ab) Which of the following equations can be used to compute o materials price variance (where AQ - actual quantity, SQ - standard quantity allowed: AP actual price; SP = standard price)? [AQ = (AP - SP)] ( ) [SQ * (AP - SP)] O [AQ * (AP - SP)] [SQ = (AP - SP)] When analyzing a value stream map, a large difference between Processing Time and Lead Time of a process block requires a "_________" analysis of that process block using detailed ________maps how many host addresses are available on a class c network? a. 65536 b. 256 c. 254 d. 65534 The number of minutes that it takes students to fill out an online survey has an approximately normal distribution with mean 11 minutes and standard deviation 2.5 minutes.a. What percent of students take more than 12 minutes to fill out the survey?b. What percent of student take between 9 and 14 minutes to fill out the survey?c. 75% of students fill the survey in less than how many minutes?d. 80% of students will be within how many standard deviations of the mean? What right does the Patient Self-Determination Act preserve?A. The right of the patient to have their advance directive acknowledged. B. The right of the patient to protect the confidentiality of their advance directiveC. The right of the patient to select the doctor they want to treat themD. The right of the patient to select the doctor they want to treat their family members. It's A. :) in the first stages of endochondral ossification, the mesynchymal stem cells develop into_____. Aurand Ltd wants to raise $1,500,000 to fund the expansion of its business. To do this, it will issue bonds with 10 years to maturity, a face value of $1,000 and a quarterly coupon payment of $20. The current yield to maturity of similar bonds in the market is 8% per annum. a) How many bonds should Aurand Ltd issue to raise a total of $1,500,000? Use bond pricing theory to explain why briefly. [2 marks] b) Assume investor Mike purchased a bond at issuance and sold it at a market yield of 9% p.a. one year later, right after the coupon payment. Calculate the selling price of the bond. [3.5 marks] c) Draw a timeline and set out each cash flow that Mike paid and received from his investment in the bond for one year and calculate the holding period yield per annum he earned on this investment. [3.5+4=7.5 marks] d) Was Mike's holding period yield higher or lower than the yield to maturity he would earn if he kept the bond till maturity? Briefly explain why. find the probability that at most ten offer such courses. (round your answer to four decimal places.) .Alyssum, Inc., a merchandising company, has provided the following extracts from their budget for the first quarter of the forthcoming year:Jan Feb MarchPurchases on account $267,000 $291,000 $310,000The vendors have required the following terms of payment:Month of purchase 25%First month of purchase 35%Second month after the purchase 35%Calculate the total payment on account for the month of March.A. $310,000B. $153,887.50C. $272,800D. $146,475