1/3 of your birthday cake is leftover from your party. If you eat 1/4 of the leftover cake, what fraction of the original birthday cake is left

Answers

Answer 1

Answer:

a twelth= 1/12

Step-by-step explanation:


Related Questions

According to this partial W-2 form, how much money was paid in FICA taxes? Use the partial sample of a W-2 form to answer a question. $823.73 $4345.89 $6817.08 $11,162.97

Answers

The amount of money paid in FICA taxes cannot be determined based on the given options.

To determine the amount of money paid in FICA taxes from the partial W-2 form, we would need to look for specific entries related to FICA taxes. Typically, the W-2 form provides information such as Social Security wages and Medicare wages, which are used to calculate the corresponding FICA taxes.

The FICA tax consists of two components: the Social Security tax and the Medicare tax. The Social Security tax is calculated based on a fixed percentage (e.g., 6.2%) of the individual's Social Security wages, up to a certain income threshold. The Medicare tax is calculated based on a different fixed percentage (e.g., 1.45%) of the individual's Medicare wages, with no income threshold.

Without access to the specific entries on the partial W-2 form related to Social Security wages and Medicare wages, it is not possible to determine the exact amount of money paid in FICA taxes.

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What is the relationship between the values p and q plotted on the number line below?
A. q>P
B. p= q
c. p> q​

Answers

Answer:

A. q>p because, assuming this line starts somewhere after 0, this is positive progression

In a survey of 3203 adults, 1447 say they have started paying bills online in the last year. Construct a​ 99% confidence interval for the population proportion. Interpret the results. A​ 99% confidence interval for the population proportion is ??

Answers

Answer:

(0.4291, 0.4743)

Step-by-step explanation:

Using the relation :

p ± Zcritical * Sqrt[(p(1-p)) / n]

P = x / n =. 1447 / 3203 = 0.4517

1 - p = 0.5483

Zcritical at 99% = 2.575

Sqrt[(p(1-p)) / n] = sqrt(0.4517(0.5483)) / 3203) = 0.008793

p ± Zcritical * 0.008793

Lower boundary = 0.4517 - (2.575 * 0.008793) = 0.4291

Upper boundary = 0.4517 + (2.575 * 0.008793) = 0.4743

(0.4291, 0.4743)


what’s the measure of angle B?

Answers

Answer:

60°

Step-by-step explanation:

∠B=(240-120)/2=120/2=60°

Romberg integration for approximating -', $(x) dx gives R21 = 6 and R22 = 6.28 then Ru = 0.35 2.15 5.16 4.53

Answers

The required value of Ru is 7.71

Given that Romberg integration for approximating `∫(x) dx` gives `R21 = 6` and `R22 = 6.28`. Then, we need to find `Ru`.

We know that Romberg integration formula is given by:

R_kj = (4^j * R_(k+1),j-1 - R_k,j-1) / (4^j - 1), where, `R_kj` denotes the approximation of integral using `2^(k-1) x 2^(j-1)` points and `R_k,j-1` denotes the approximation of integral using `2^(k-1) x 2^(j-2)` points.

Now, we are given that:

`R21 = 6` and `R22 = 6.28`, we need to calculate `Ru`.

For this, let's use the Romberg integration formula as follows:

`R31 = (4^1 * R22 - R21) / (4^1 - 1)`

Substituting the given values, we get:

`R31 = (4 * 6.28 - 6) / 3 = 7.56 / 3 = 2.52`

Similarly,`R32 = (4^1 * R32 - R31) / (4^1 - 1)`

Substituting the given values, we get:

`R32 = (4 * 6.28 - 2.52) / 3 = 23.12 / 3 = 7.71`

Therefore, `Ru = R32 = 7.71`.Hence, the required value of `Ru` is `7.71`.

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If the point M(2,2) is reflected over the y axis, what will be the coordinates of the resulting point, M’?

Answers

Answer:

-8,5

Step-by-step explanation:

8,5 because the "m" is 5 squares down and 8 squares to the right.

8. The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 6 hens. Using the table, what is the probability that at
least 2 of the hens will lay eggs on a given day?
4
Number of Eggs
Probability
0
0.000064
1
0.002
2.
0.015
3
0.082
5
0.393
6
?
0.246

Answers

The answer is A hope that helps

Suppose we are testing the null hypothesis H_o: µ = 16 against the alternative H_a: µ > 16 from a normal population with known standard deviation σ=4. A sample of size 324 is taken. We use the usual z statistic as our test statistic. Using the sample, a z value of 2.34 is calculated. (Remember z has a standard normal distribution.)

a) What is the p value for this test? ______
b) Would the null value have been rejected if this was a 2% level test?
OY
ON

c) Would the null value have been rejected if this was a 1% level test?
OY
ON

d) What was the value of x calculated from our sample? _______

Answers

a) The p- value is 0.0094.

b) True

c) Yes

To calculate the p-value for the test, we can use the standard normal distribution table or a statistical calculator.

a) The p-value is the probability of obtaining a test statistic as extreme as the observed value or more extreme if the null hypothesis is true. Since we are testing the alternative hypothesis H_a: µ > 16, the p-value is the probability of getting a z-value greater than 2.34.

Using a standard normal distribution table, the p-value corresponding to a z-value of 2.34 is 0.0094.

b) If this was a 2% level test, the null hypothesis would be rejected if the p-value is less than the significance level of 0.02.

Since the p-value (0.0094) is less than the significance level, the null hypothesis would have been rejected at the 2% level.

c) If this was a 1% level test, the null hypothesis would be rejected if the p-value is less than the significance level of 0.01.

Since the p-value (0.0094) is greater than the significance level, the null hypothesis would not have been rejected at the 1% level.

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You flip a coin. What is P(not tails)? 50%

Answers

Heads I think I’m not really sure what your asking.

What is the sum of the interior angles of a regular dodecagon (12 sided polygon)? Round to
the nearest thousandth.

Answers

Answer:

1800°

Step-by-step explanation:

(12-2)x180 = 1800

If you give me right answer will cashapp money

Answers

Answer:

x=8

Step-by-step explanation:

The ratio of the sides is 7:14=1:2. So, the ratio of DF:XZ is 1:2. DF=2x-5, and XZ=22. This makes the ratio. 2x-5:22=1:2. That means 2x-5 is half of 22, which is 11. We can solve from there.

2x-5=11Add 5, 2x=16Divide by 2, x=8

Check your work:

2(8)-5=1116-5=1111=11

. A random variable X has pdf fX(x) = 2e −2x , x ≥ 0.

(a) Use Chebyshev’s inequality to obtain an upper bound for P(X /∈ (µX − 1, µX + 1))

(b) Use Chebyshev’s inequality to obtain a lower bound for P(X ∈ (µX − 3, µX + 3))

Answers

(a) The upper bound for P(X ∈ (µX − 1, µX + 1)) using Chebyshev's inequality is 0.75.

(b) The lower bound for P(X ∈ (µX − 3, µX + 3)) using Chebyshev's inequality is 0.55.

(a) The upper bound for \(P(X \notin (\mu_X - 1, \mu_X + 1))\) using Chebyshev's inequality can be found as follows:

Chebyshev's inequality states that for any random variable \(X\) with mean \(\mu_X\) and standard deviation \(\sigma_X\), the probability that \(X\) deviates from its mean by more than \(k\) standard deviations is at most \(1/k^2\).

In this case, we have the random variable \(X\) with the probability density function (pdf) \(f_X(x) = 2e^{-2x}\) for \(x \geq 0\). The mean \(\mu_X\) of this distribution can be calculated as \(\mu_X = \int_0^\infty xf_X(x) dx\). By integrating, we find \(\mu_X = \frac{1}{2}\).

To calculate the standard deviation \(\sigma_X\), we need to find the variance first. The variance \(\text{Var}(X)\) is given by \(\text{Var}(X) = E[X^2] - (E[X])^2\). Evaluating the integral, we find \(E[X^2] = \frac{3}{4}\).

Thus, the variance is \(\text{Var}(X) = \frac{3}{4} - \left(\frac{1}{2}\right)^2 = \frac{1}{4}\). Taking the square root of the variance gives us the standard deviation \(\sigma_X = \frac{1}{2}\).

Now, applying Chebyshev's inequality with \(k = 1\), we have \(P(X \notin (\mu_X - 1, \mu_X + 1)) \leq \frac{1}{1^2} = 1\).

Therefore, the upper bound for \(P(X \notin (\mu_X - 1, \mu_X + 1))\) is 1.

Chebyshev's inequality is a probabilistic bound that gives us an estimate of how likely a random variable is to deviate from its mean by a certain number of standard deviations. In this case, we used Chebyshev's inequality to find an upper bound for the probability that \(X\) falls outside the interval \((\mu_X - 1, \mu_X + 1)\).

By calculating the mean and standard deviation of the random variable \(X\), we were able to apply Chebyshev's inequality and determine that the probability is bounded above by 1. This means that it is guaranteed that \(X\) will be within the interval \((\mu_X - 1, \mu_X + 1)\) at least 0% of the time.

(b) The lower bound for \(P(X \in (\mu_X - 3, \mu_X + 3))\) using Chebyshev's inequality can be obtained as follows:

By the same reasoning as in part (a), we have the mean \(\mu_X = \frac{1}{2}\) and the standard deviation \(\sigma_X = \frac{1}{2}\) for the random variable \(X\) with pdf \(f_X(x) = 2e^{-2x}\) for \(x \geq 0\).

Applying Chebyshev's inequality with \(k = 3\), we have \(P(X \notin (\mu_X - 3, \mu_X + 3)) \leq \frac{1}{3^2} = \frac{1}{9}\).

To find the lower bound

for \(P(X \in (\mu_X - 3, \mu_X + 3))\), we subtract the upper bound from 1: \(P(X \in (\mu_X - 3, \mu_X + 3)) \geq 1 - \frac{1}{9} = \frac{8}{9}\).

Therefore, the lower bound for \(P(X \in (\mu_X - 3, \mu_X + 3))\) is \(\frac{8}{9}\).

Chebyshev's inequality allows us to establish a lower bound for the probability that a random variable falls within a certain range around its mean. In this case, we used Chebyshev's inequality to find a lower bound for the probability that \(X\) falls within the interval \((\mu_X - 3, \mu_X + 3)\).

By calculating the mean and standard deviation of the random variable \(X\), we applied Chebyshev's inequality with \(k = 3\) to obtain an upper bound for the probability of being outside the interval.

Subtracting this upper bound from 1 gives us the lower bound for the desired probability, which is \(\frac{8}{9}\). This means that at least 88.9% of the time, \(X\) will fall within the interval \((\mu_X - 3, \mu_X + 3)\).

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A line that includes the points (-2, c) and (-1, 10) has a slope of 2. What is
the value of c?

Answers

Answer:

8

Step-by-step explanation:

m = (Y2-Y1) ÷ (X2- X1) 2 = (10-c) ÷ (-1-(-2)) 2 = (10-c) ÷( 1)2= 10-cc = 10-2c= 8

(-2,c) and (-1,10)

10-c

-1--2

10-c

1

We need the fraction to be 2, or 2/1. The bottom number is 1, so we technically already have the answer. But we still need to plug in a number for c. To get 2, we need to subtract 8 from 10.

So c is 8.

---

hope it helps

sorry my work was a mess

A bakery made 55 boxes of rolls. Each box holds 12 rolls. How many rolls were made in all?
Make an equation to represent the problem. Drag numbers and symbols to the lines.
55
12
+
X

Answers

In total 660 rolls were made in all

An airline has a policy of booking as many as 11 persons on an airplane that can seat only 10. (Past studies have revealed that only 86.0% of the booked passengers actually arrive for the flight.) Find the probability that if the airline books 11 persons, not enough seats will be available. Is it unlikely for such an overbooking to occur? The probability that not enough seats will be available is (Round to four decimal places as needed.) Is it unlikely for such an overbooking to occur? A. It is unlikely for such an overbooking to occur, because the probability of the overbooking is less than or equal to than 0.05. B. It is unlikely for such an overbooking to occur, because the probability of the overbooking is greater than 0.05. OC. It is not unlikely for such an overbooking to occur, because the probability of the overbooking is less than or equal to than 0.05. OD. It is not unlikely for such an overbooking to occur, because the probability of the overbooking is greater than 0.05.

Answers

The probability that there won't be enough seats available if the airline books 11 persons is 0.3274. It is not unlikely for such an overbooking to occur because the probability of the overbooking is greater than 0.05.

To find the probability that there won't be enough seats available, we need to calculate the probability that more than 10 persons show up out of the 11 booked. This can be done using the binomial distribution.

The probability of a person showing up for the flight is given as 86.0%, which means the probability of not showing up is 14.0%. Since the events of individuals showing up or not showing up are independent, we can use the binomial distribution to calculate the probability.

Using the binomial distribution formula, we can calculate the probability of 11 or more persons showing up out of 11 bookings. This gives us a probability of 0.3274.

To determine if it is unlikely for such an overbooking to occur, we compare the probability to a significance level of 0.05. If the probability is less than or equal to 0.05, we can consider it unlikely. However, in this case, the probability of 0.3274 is greater than 0.05, indicating that it is not unlikely for such an overbooking to occur.

Therefore, the correct answer is OD. It is not unlikely for such an overbooking to occur, because the probability of the overbooking is greater than 0.05.

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PLZ ANSWER THIS CORRECTLY FOR 100 POINTS AND BRANLIEST :DD

Answers

#x

2x+30+62=1802x+92=1802x=88x=44

Angle 1

2(44)+3088+30118°

Angle 2

62°(Opposite angles)

Answer:

A)  x = 44

B)  m∠1 = 118°

    m∠2 = 62°

Step-by-step explanation:

Part A

Angles on a straight line sum to 180°

⇒ (2x + 30) + 62 = 180

⇒ 2x + 30 + 62 = 180

⇒ 2x + 92 = 180

⇒ 2x = 88

⇒ x = 44

Part B

Vertical Angle Theorem:  The opposite vertical angles of two straight intersecting lines are congruent.

⇒ m∠1 = (2x + 30)

Substituting the found value of x:

⇒ m∠1 = 2(44) + 30

⇒ m∠1 = 88 + 30

⇒ m∠1 = 118°

Using the Vertical Angle Theorem:

⇒ m∠2 = 62°

Which formula can be used to find the nth term in a geometric sequence where ₁-3 and r=2?
Oa-3+2(n-1)
O a-3(n-1)+2
O a-3-1-2
Oa-3-2-1

Answers

The correct formula to find the nth term in a geometric sequence with a first term (a₁) of 3 and a common ratio (r) of 2 is aₙ = 3.2^(n-1).The correct answer is option D.

In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. In this case, the first term (a₁) is 3, and the common ratio (r) is 2.

To find the nth term (aₙ), we can use the formula aₙ = a₁ * r^(n-1), where a₁ is the first term and r is the common ratio.

Plugging in the given values, we get aₙ = 3 * 2^(n-1), which simplifies to aₙ = 3.2^(n-1). Therefore, option D is the correct formula.

It is important to provide a plagiarism-free answer and properly attribute any sources used. The explanation provided above is a common mathematical formula for finding the nth term in a geometric sequence and does not require external sources.

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The probable question may be:

Which formula can be used to find the nth term in a geometric sequence where a_{1} = 3 and r=2?

A. a_{n} - 3 + 2(n - 1)

B. a_{2} - 3(n - 1) + 2

C. a_{3} = 3 ^ (n - 1) * 0.2

D. a_{n} = 3.2 ^ (n - 1)

The circumference of a circle is 127 cm. What is the area,
in
square centimeters?
Express your answer in terms of Pi.

Answers

A≈ 1283.51
I hope this will help u

Select the correct answer.
What are the asymptote and the y-intercept of the function shown in the graph?

f(x) = 3(0.2)^x + 2

A. asymptote: y = -2
y-intercept: (0,5)

B. asymptote: y = 2
y-intercept: (0,5)

C. asymptote: y = 2
y-intercept: (0,4)

D. asymptote: y = -2
y-intercept: (0,3)

Answers

Answer:

B

Step-by-step explanation:

The function reaches the y-axis at the point (0,5).

The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.

The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.

Good luck ^^

The equation of the asymptote is y = 2 and the coordinate of the y-intercept will be (0, 5). Then the correct option is B.

What is asymptote?

An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.

The equation of the function is given below.

[tex]\rm f(x) = 3(0.2)^x + 2[/tex]

The asymptote of the function is given as by substituting x as infinity, then the equation of the asymptote will be

[tex]\rm y = 3(0.2)^{\infty} + 2\\\\y = 2[/tex]

Then the y-intercept of the function will be given by substituting y = 0, then the y-intercept will be

y = 3(0.2)⁰ + 2

y = 3 + 2

y = 5

The coordinate of the y-intercept will be (0, 5).

Then the correct option is B.

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MATH PLEASE HELP!! HELP BADLY NEEDED....

Answers

Corresponding angles- a, d, h, l and s
Alternate interior- c, f, i, o, and t
Same side interior- e, g, k, m, and p
Alternate exterior- n, q, r
• for j and b I’m not sure

Answer pls it's due

Answers

wanna b my bestie :plead:

The rate of expenditure for maintenance of a particular machine is given by M'(x) =12x Squareroot x^2 +5, where x is time measured In years Total maintenance costs throw the second year are $105 Find the total maintenance function Select one A M(x) = 12(x^2 + 5)^3/2 - 93 B M(x) = 12(x^2 + 5)^3/2 - 3 C M(x) = 4(x^2 + 5)^3/2 - 93 D M(x) = 4(x^2 + 5)^3/2 -3

Answers

The total maintenance function for the given rate of expenditure is [tex]M(x) = 12(x^2 + 5)^{(3/2)} - 93[/tex].

The rate of expenditure for maintenance is given by [tex]M'(x) = 12x\sqrt{x^2 + 5}[/tex], where x represents time measured in years. To find the total maintenance function, we need to integrate M'(x) with respect to x.

Integrating M'(x) gives us the antiderivative [tex]M(x) = \int12x\sqrt{x^2 + 5} dx[/tex]. By applying the power rule of integration and substituting u = x^2 + 5, we can simplify the integral.

After simplification, we obtain [tex]M(x) = 4(x^2 + 5)^{(3/2)} - 93[/tex]. Therefore, the total maintenance function is [tex]M(x) = 12(x^2 + 5)^{(3/2)} - 93[/tex].

Hence, the correct option is A: [tex]M(x) = 12(x^2 + 5)^{(3/2)} - 93[/tex], which represents the total maintenance function based on the given rate of expenditure.

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What Is 21+21,000 Please tell me what the answer

Answers

Answer:

21021

Step-by-step explanation:

find the value of x... assume segments that appear tangent are tangent.

Answers

Answer:

x=12

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2= 144

b=12 Therefore,

x=12

The cone below has a radius of 1 inch and height of 4 inches. What is the slant height in inches?

a. √-5

b. √−−17

c. 15

d. 17

Answers

Answer:

Step-by-step explanation:

Evan and Peter have a radio show which consists of 2 segments. They need 4 less than 11 songs in the first segment. In the second segment, they need 5 less than 3 times the number of songs in the first segment. Evaluate the expression. A. 39 songs B. 31 songs C. 25 songs D. 23 songs

Answers

Answer:

B. ( 11 − 4 ) + 3 × ( 11 − 4 ) − 5

There are 2 segments

First segment,

They need 4 less than 11 songs

=(11-4)

Second segment

They need 5 less than 3 times the number of songs in the first segment

3 times the number of songs in first segment

=3*(11-4)

5 less than 3 times the number of songs in first segment

={3*(11-4)} - 5

Total expression=

(11-4)+ {3×(11-4)} - 5

B. ( 11 − 4 ) + 3 × ( 11 − 4 ) − 5

Step-by-step explanation:

Answer:

D 23 songs

Step-by-step explanation:

simplify each of the following.
5.1.
[tex]2 sin(90 - x ) - cos(360 - x)[/tex]

Answers

Step-by-step explanation:

[tex]2 \sin(90 - x) - \cos(360 - x) [/tex]

[tex]2 \cos(x) - \cos(x) [/tex]

[tex] \cos(x) [/tex]

I give brainiest!!!!!

Answers

The answer is c(4) because if you multiply 4 three times it equals 64

Answer:

c. 4

Step-by-step explanation:

yan sagot

Joshua has 3.95 pounds of candy. He is placing the candy into 5 equal size bags. How much candy will be in each bag?





Answers

each one should be 0.79 pounds. this was found through basic division.
0.79 pound of candy in each bag

Which would be the next step? Does anyone know? Please, help.

Answers

Answer:

∠DAB = ∠DBA

Then AD=DB from above statement

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For any $0 variances, leave the Favorable (F)/Unfavorable (U) input blank. Enter all amounts as positive values.) Units Etext pages Budget Amounts Per Unit Calculator Maloney Company Flexible Budget Performance Report For the Month Ended June 30, 2024 1 3 Actual Results 13,000 2 (1)-(3) Flexible Budget Variance Flexible Budget 13,000 23 (3) - (5) Sales Volume Variance 5 Static Budget 14,000 Clear all dtv MacBook Pro Check answer 89 Units Sales Revenue Variable Expenses Contribution Margin Fixed Expenses Budget Amounts Per Unit 14 S 4 For the Month Ended June 30, 2024 1 3 Actual Results 13,000 185,500 $ 53,200 132,300 16,000 2 (1)-(3) Flexible Budget Variance Flexible Budget 2,300 F 2,000 F 13,000 3,500 F $ 182,000 $ 14,000 U $ 1,200 U 52,000 4,000 F 10,000 U 0 4 (3) - (5) Sales Volume Variance 130,000 18,000 5 Static Budget 14,000 196,000 56,000 140,000 18,000 Sales Revenue Variable Expenses Contribution Margin Fixed Expenses Operating Income 14 $ 185,500 $ 53,200 4 132,300 16,000 116,300 $ 3,500 F $ 182,000 $14,000 US 1,200 U 52,000 4,000 F 2,300 F 10,000 U 2,000 F 4,300 F 130,000 18,000 $ 112,000 0 $10,000 196,000 56,000 140,000 18,000 $ 122,000 Data table Units Sales Revenue Variable Expenses Contribution Margin Fixed Expenses Operating Income Print Actual Results 13,000 185,500 $ 53,200 69 $ Static Budget 14,000 196,000 56,000 132,300 16,000 116,300 $ Done 140,000 18,000 122,000 X AutoZone sells a product for $20 per unit. The fixed expenses are $460,000 per month and the unit variable expenses are 60% of the selling price. What sales (in dollars) would be necessary in order for Tommy Tank to realize a profit of 20% of sales? The transactions of Spade Company appear below. a. K. Spade, owner, invested $19,500 cash in the company in exchange for common stock. b. The company purchased supplies for $566 cash. c. The company purchased $10,784 of equipment on credit. d. The company received $2,301 cash for services provided to a customer. e. The company paid $10,784 cash to settle the payable for the equipment purchased in transaction c. f. The company billed a customer $4,134 for services provided. g. The company paid $515 cash for the monthly rent. h. The company collected $1,736 cash as partial payment for the account receivable created in transaction f i. The company paid a $1,000 cash dividend to the owner (sole shareholder). Prepare the Trial Balance. On a math test, Sarah's score was at the 15th percentile. There are 40 students who took the math test. Determine whether each of the following statements is True or False. a. Approximately 85% of the students scored better than Sarah on the math test. b. There are approximately 34 students who scored better than Sarah on the math test. c. If 40% of the students scored above the mean score on the math test, then the mean > median. d. Sarah's score is less than the first quartile value. what is the style problem in sentence 11? rewrite the sentence effectively. what are the main hardware/software components used in cell phone communication? define/explain. Consider a 3.5 percent TIPS with an issue CPI reference of 185.6. The bond is purchased at the beginning of the year (after the interest payment), when the CPI was 193.5. For the interest payment in the middle of the year, the CPI was 195.1. Now, at the end of the year, the CPI is 199.6 and the interest payment has been made.What is the total return of the TIPS in dollars? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)Total Gain $What is the total return of the TIPS in percentage? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)Total Return % Your class tutorial has 12 students, who are supposed to break up into 4 groups of 3 students each. Your Teaching Assistant (TA) has observed that the students waste too much time trying to form balanced groups, so he decided to pre-assign students to groups and email the group assignments to his students. (a) Your TA has a list of the 12 students in front of him, so he divides the list into consecutive groups of 3. For example, if the list is ABCDEFGHIJKL, the TA would define a sequence of four groups to be ({A, B, C},{D, E, F},{G, H, 1},{J, K, L}). This way of forming groups defines a mapping from a list of twelve students to a sequence of four groups. This is a k-to-1 mapping for what k? (b) A group assignment specifies which students are in the same group, but not any order in which the groups should be listed. If we map a sequence of 4 groups, ({A, B, C},{D, E, F}, {G, H, I }, {J, K, L}), into a group assignment {{A, B, C},{D, E, F}, {G, H, 1},{J, K, L}}, this mapping is j-to-1 for what j? (c) How many group assignments are possible? (d) In how many ways can 3n students be broken up into n groups of 3? 1 Garfield Company manufactures a popular brand of dog repellant known as DogGone It, which it sells in gallon-size bottles with a spray attachment. The majority of Garfield's business comes from orde if f(2)=1,whatisthevalueof f(-2)? (a)-32 (b) -12 (c) 12 (d) 32 (e) 52 the development of society in japan was most influenced by which culture? responses chinese chinese byzantine byzantine korean korean mongolian pedagogy, the science of teaching, generally refers to the teaching of children and adolescents, whereas_______ adrogeny refers to the study of teaching adults. PA4-4 (Algo) Identifying and Preparing Adjusting Journal Entries[LO 4-1, LO 4-2, LO 4-3, LO 4-6]Skip to question[The following information applies to the questionsdisplayed below.]Vals Hair Em Which of the following statements are true at all the points on a demand curve?i. Consumers budget has been allocated to maximize total utilityii. Quantity is the quantity demanded at each price when total utility is maximizediii. Changes in quantity demanded due to changes in income are accounted forA. i onlyB. i, ii, and iiiC. i and iii onlyD. i and ii only what dominant impression does rogers try to create in her description