Can you please help me with this question.

In binary representation, each bit can be either 0 or 1. Using five binary bits, we can obtain 32 different numbers. Therefore, the correct answer is (B).

With five binary bits, we have five positions, and each position can have two possibilities (0 or 1). To calculate the total number of different numbers we can obtain, we need to raise 2 to the power of the number of bits. In this case, we have \(2^5,\) which equals 32. Therefore, we can obtain 32 different numbers using five binary bits. To understand this concept, we can think of each binary bit as a switch that can be either on (1) or off (0). With five switches, we have a total of 32 different combinations or numbers that can be represented. These numbers range from 0 (all switches off) to 31 (all switches on). Therefore, the correct answer is (B), which states that we can obtain 32 different numbers using five binary bits.

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Answer:

199

Step-by-step explanation:

(200-?)×200=200

Let ?=x

So we have (200-x)×200=200

open the bracket

40000-200x=200

collect like terms

40000-200=200x

39800=200x

divide both sides by 200

x=199

The missing number is - 201.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

The expression is,

(200 - ?) x 200 = 200

Now, Let a missing number is 'x'.

Then, Solve the equation as;

(200 - x) × 200 = 200

Divide both side 200 by,

(200 - x) = 1

200 - x = 1

Add 200 both sides,

200 - x + 200 = 1 + 200

- x = 201

x = - 201

Thus, The missing number is - 201.

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Answer:

\(18r+\frac{1}{2}(14)(r)=182\)

Step-by-step explanation:

Area of the composite figure ABCDE = Area of triangle ABE + Area of the rectangle BCDE

Area of triangle ABE = \(\frac{1}{2}(32-18)(r)\)

                                  = \(\frac{1}{2}(14)(r)\)

Area of rectangle BCDE = 18 × r

                                        = 18r

Total Area = \(\frac{1}{2}(14)r+18r\)

Therefore, equation to get the value of 'r' will be,

\(18r+\frac{1}{2}(14)(r)=182\)

Answer:

68.3%

Step-by-step explanation:

Using the relation :

Zscore = (x - Mean) / standard deviation

For, x between 46 and 54

Zscore = ((54 - 50) / 4) - ((46 - 50) / 4)

P(Z < 4/4) - P(Z < -4/4)

P(Z < 1) - P(Z <-1)

0.84134 - 0.15866

= 0.68268

= 0.68268 * 100%

= 68.3%

Answer:

A standardized test is designed so that scores have a mean of 50 and a standard deviation of 4. What percent of scores are between 42 and 58?

Step-by-step explanation:

about 95.4%

y = abᵗ

we know the initial amount is 6300 on 2006, that's on year 0, namely t = 0.

we also know that it became 8200 on 2010, that's 4 years later, namely t = 4.

what would its value be in 2019, well that's t = 13.

\(y = ab^t \\\\[-0.35em] ~\dotfill\\\\ \underset{t=0\hfill }{6300=ab^0}\implies 6300-a(1)\implies 6300=a~\hfill \underline{y=6300b^t} \\\\[-0.35em] ~\dotfill\\\\ \underset{t=4\hfill }{8200=6300b^4}\implies \cfrac{8200}{6300}=b^4\implies \cfrac{82}{63}=b^4\implies \sqrt[4]{\cfrac{82}{63}}=b \\\\\\ ~\hfill \underline{y=6300\left( \sqrt[4]{\frac{82}{63}} \right)^t} \\\\[-0.35em] ~\dotfill\\\\ \textit{when t = 13}\qquad \qquad y=6300\left( \sqrt[4]{\frac{82}{63}} \right)^{13}\implies y\approx 14838.1168\)

Answer:

if you are asking for them apart, then the first one is -22 and the second is 34, if i am wrong please correct me

Step-by-step explanation:

3-25= -22

32+2=34

Answer:

Step-by-step explanation:

3-25= -22

32+2= 34

-22+34=12

Answer:

x = 8    b = -1     m = 3     x = 4

k = 4  m = 5     n =  8     x = -3

p = -7   x = -3    x = 8       v =1           x = 0

Step-by-step explanation:

There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

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Given:

The given function is:

\(f(x)=11x-11\)

To find:

The value of \((f\circ f^{-1})(-11)\).

Solution:

We have,

\(f(x)=11x-11\)

First we have to find the inverse of this function.

Putting f(x)=y, we get

\(y=11x-11\)

Interchange x and y.

\(x=11y-11\)

Isolate the variable y.

\(x+11=11y\)

\(\dfrac{x+11}{11}=y\)

\(y=\dfrac{x+11}{11}\)

Putting \(y=f^{-1}(x)\), we get

\(f^{-1}(x)=\dfrac{x+11}{11}\)

Now,

\((f\circ f^{-1})(-11)=f(f^{-1}(-11))\)

\((f\circ f^{-1})(-11)=f\left(\dfrac{-11+11}{11}\right)\)        \(\left[\because f^{-1}(x)=\dfrac{x+11}{11}\right]\)

\((f\circ f^{-1})(-11)=f\left(\dfrac{0}{11}\right)\)

\((f\circ f^{-1})(-11)=f\left(0\right)\)

The given function is \(f(x)=11x-11\).

\((f\circ f^{-1})(-11)=11(0)-11\)

\((f\circ f^{-1})(-11)=-11\)

Therefore, the value of \((f\circ f^{-1})(-11)\) is \(-11\). Hence the correct option is A.

Answer: 1.935

Percentage solution with steps:

Step 1: Our output value is 90.

Step 2: We represent the unknown value with x

Step 3: From step 1 above,90=100%

Step 4: Similarly, x=2.15%

The values are as follows: (a) -0.52, (b) 0.68, (c) 0.7764, (d) the value of the PDF at 0.8 using the given parameters, and (e) 0.3300.

(a) The value at which the cumulative distribution function (CDF) of a standard normal distribution (N(0,1)) takes on the value of 0.3 is approximately -0.52.

(b) The value at which the CDF of a standard normal distribution (N(0,1)) takes on the value of 0.75 is approximately 0.68.

(c) The value of the CDF of a normal distribution N(-2,5) at 0.8 can be calculated by standardizing the value using the formula Z = (X - μ) / σ, where X is the given value, μ is the mean, and σ is the standard deviation. After standardizing, we find that Z ≈ 0.76. Using a standard normal distribution table or calculator, we can determine that the CDF value at Z = 0.76 is approximately 0.7764.

(d) The value of the probability density function (PDF) of a normal distribution N(-2,5) at 0.8 can be calculated using the formula f(x) = (1 / (σ * √(2π\(^(-(x -\) μ)))) * e² / (2σ²)), where x is the given value, μ is the mean, σ is the standard deviation, and e is Euler's number (approximately 2.71828). Plugging in the values, we can compute the PDF at x = 0.8.

(e) The value of the CDF of a normal distribution N(-2,5) at -1.2 can be calculated in a similar manner as in part (c). After standardizing the value, we find that Z ≈ -0.44. Using a standard normal distribution table or calculator, we can determine that the CDF value at Z = -0.44 is approximately 0.3300.

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Answer:

true

Step-by-step explanation:

Answer:

13/4

Step-by-step explanation:

Answer:

90+45 +? = 180

180 - 90 - 45 = x

x = 45

Step-by-step explanation:

Answer:

x = 45

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles.

The base angles are then congruent , so

x = 45

Answer:

Step-by-step explanation:

Given

Solution for f(3)

\(\text{To get the total surface area, all we have to do is multiply } 18 \text{ by } 12, \text{which gets us}\)\($18\cdot12 = \boxed{216\text{ ft}^2}\).

\(\text{So, our answer is } \boxed{216\text{ ft}^2}.\)

Larry needs 216 square feet of carpeting for her rectangular living room.

To find the amount of carpeting Larry needs, we need to calculate the area of her rectangular living room. The area of a rectangle can be found by multiplying its length by its width. In this case, the length of the living room is 18 feet and the width is 12 feet.

So, the area of the living room is:

Area = Length * Width

Area = 18 feet * 12 feet

Area = 216 square feet

Therefore, Larry needs 216 square feet of carpeting for her living room.

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If Reginald Wallace’s gross weekly salary is $515 and the Medicare tax is 1.45 percent of gross pay. The state tax is 1.5 percent of gross pay. The amount that is deducted from Wallace’s weekly wages for state tax and Medicare tax is: $15.19.

State tax=1.5 percent of gross pay

Medicare tax=1.45 percent of gross pay

State tax=$515 ×0.015

State tax= $7.725

Medicare tax=$515× 0.0145

Medicare tax = $7.4675

Hence:

State tax and Medicare tax=$7.725+$7.4675

State tax and Medicare tax=$15.1925

State tax and Medicare tax=$15.19 (Approximately)

Therefore If Reginald Wallace’s gross weekly salary is $515 and the Medicare tax is 1.45 percent of gross pay. The state tax is 1.5 percent of gross pay. The amount that is deducted from Wallace’s weekly wages for state tax and Medicare tax is: $15.19.

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Answer: Dilation, scale factor of 2.

Step-by-step explanation: The scale factor would be the number we multiply the 4 by 6 rectangle to get the 8 by 12 rectangle print.

Since we start with a rectangle with a length of 6 and a width of 4, and the measurements are changed to 8 and 12, we know the scale factor is 2. The scale factor is two because 4 • 2 is 8, and 6 • 2 is 12. Out of the transformations, (reflection, rotation, translation, dilation) the only one that includes a scale factor would be dilation. We also know it’s a dilation since the print is getting larger, and the pre image and image are not the same.

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Solution details:

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

There are four 2s and four 4s in the deck.

Therefore, the probability of drawing one of these cards is 4/52.

Simplifying it, 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

There are four Kings in the deck, and there are 13 spades in the deck, including the King of spades.

There are four Kings, including the King of spades.

Four plus 13 equals 16 total cards.

The probability of drawing one of these cards is 16/52.

Simplifying it, 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

There are 13 hearts in the deck, and we’re assuming that you’re drawing with replacement.

As a result, the probability of drawing two hearts is (13/52) × (13/52).

Simplifying it, 169/2704.  

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Since the first ace has a probability of 4/52, or 1/13, the probability of the second ace is 3/51.

This is since one card has been removed from the deck, making it 51 instead of 52.

Multiplying the two probabilities gives us (4/52) × (3/51) or 12/2652. Simplifying it, 1/221.

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It takes 350ms for the sender to receive the ack for the segment with the sequence number 12.

To calculate the time it takes for the sender to receive the ack for the segment with the sequence number 12, we need to consider the network latency for sending a segment from the sender to the receiver (30ms) and the network latency for sending an acknowledgment from the receiver to the sender (20ms). We also need to consider the initial sequence number (1) and the fact that the segment with sequence number 5 is lost once.

Here is a diagram showing the evolution of the TCP connection:

| Time (ms) | Event | cwnd | ssthresh | RTO |
|-----------|-------|------|----------|-----|
| 0 | Connection starts | 1 | 4 | 500 |
| 30 | Segment 1 sent | 1 | 4 | 500 |
| 50 | Ack for segment 1 received | 2 | 4 | 500 |
| 80 | Segment 2 and 3 sent | 2 | 4 | 500 |
| 100 | Ack for segment 2 received | 3 | 4 | 500 |
| 120 | Ack for segment 3 received | 4 | 4 | 500 |
| 150 | Segment 4, 5, 6, and 7 sent | 4 | 4 | 500 |
| 170 | Ack for segment 4 received | 5 | 4 | 500 |
| 190 | Ack for segment 6 received | 6 | 4 | 500 |
| 220 | Segment 8, 9, 10, 11, and 12 sent | 6 | 4 | 500 |
| 240 | Ack for segment 7 received | 7 | 4 | 500 |
| 260 | Ack for segment 8 received | 8 | 4 | 500 |
| 290 | Ack for segment 9 received | 9 | 4 | 500 |
| 310 | Ack for segment 10 received | 10 | 4 | 500 |
| 330 | Ack for segment 11 received | 11 | 4 | 500 |
| 350 | Ack for segment 12 received | 12 | 4 | 500 |

From the diagram, we can see that the sender receives the ack for the segment with the sequence number 12 at time t = 350ms. Therefore, it takes 350ms for the sender to receive the ack for the segment with the sequence number 12.

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Answer:

1/2 m

Step-by-step explanation:

It is because 4 = 4/1, 8 = 8/1 and 4/1 divided by 8/1 is also equal to 4/1 times by 1/8 which equals 4/8.

4/8 is simplified to make 1/2m

hope this helps mark brainliest

Answer:

the first step is wrong

it should be 4(x-4)/(x+1)(x-4) - (x+2)/(x-4)(x+1)

Answer:

hope I help

hope I help hope I help hope I help hope I help

Answer:

It would be a tie

Step-by-step explanation:

Skeir 1 in 5000 feet would go 45 seconds.

Skier 2 in 5000 feet would go 50 seconds

If skier 1 lets skeir 2 have a head start, then it means that that it would be 50-5, which would be 45.

To calculate the value of Kearney's retirement savings when he retired, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:
A = final amount
P = initial principal (the amount Kearney invested each month)
r = annual interest rate (5.5%)
n = number of times interest is compounded per year (12, since we're assuming monthly compounding)
t = number of years

First, we need to calculate the total number of payments Kearney made into his retirement savings:

68 - 30 = 38 years

Since Kearney made monthly payments, the total number of payments is:

38 years x 12 months/year = 456 payments

Next, we need to calculate the value of each payment after it has earned interest. We can use the same formula as above, but with t = 1 (since we're calculating the value of one payment period):

P' = P(1 + r/n)^(nt)
P' = 200(1 + 0.055/12)^(12*1)
P' = 200(1.00458333333)^12
P' = 200(1.00458333333)^12
P' = 200(1.00458333333)^12
P' = 243.382740047

So each $200 payment is worth $243.38 after one month of earning interest.

Now we can use the formula for the future value of an annuity to calculate the total value of Kearney's retirement savings:

A = P'[(1 + r/n)^(nt) - 1]/(r/n)
A = 243.38[(1 + 0.055/12)^(12*38) - 1]/(0.055/12)
A = 243.38[1.93378208462 - 1]/(0.055/12)
A = 243.38[34.3478377249]
A = $8,351.53

Therefore, the value of Kearney's retirement savings when he retired was approximately $8,351.53.

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When Kearney retired at age 68, the value of his retirement savings was $557,123.35.

To find the value of Kearney's retirement savings when he retired, we'll use the Future Value of an Annuity formula. Here are the given values and the formula:

Monthly investment (PMT) = $200

Annual interest rate (r) = 5.5% = 0.055

Monthly interest rate (i) = (1 + r)^(1/12) - 1 ≈ 0.004434

Number of years of investment (n) = 68 - 30 = 38 years

Number of months of investment (t) = 38 years * 12 months = 456 months

Future Value of Annuity (FV) formula:

FV = PMT * [(1 + i)^t - 1] / i

Now, we'll plug in the values and calculate the Future Value:

FV = 200 * [(1 + 0.004434)^456 - 1] / 0.004434

FV ≈ 200 * [12.2883] / 0.004434

FV ≈ 557123.35

The value of his retirement savings was approximately $557,123.35.

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Answer:1386cm2

Step-by-step explanation:

Answer:

4x - 36 feet

Step-by-step explanation:

The area A of a  square whose sides are s units is given as

A = s * s

Given that the area A = x^2-18x+81, factorizing

A = x^2-9x-9x+81

A= x(x-9)-9(x-9)

A = (x-9)(x-9)

A = (x-9)^2

This means that the size of each side of the square  courtyard is x-9 feet long

Recall that the perimeter P of a square whose side is s long is given as

P = 4s hence since the side of the courtyard is x - 9 feet, the perimeter of the courtyard

P = 4(x-9)

= 4x - 36 feet

The probability of exactly 8 out of 15 buyers preferring brown is 0.1967, or about 19.67%.

To calculate this probability, we first need to know the probability of a single buyer preferring brown. The problem states that 50% of the population prefers brown, so the probability of any one buyer preferring brown is 0.5 or 1/2. We can represent this probability as P(brown) = 0.5.

Now, we want to find the probability of exactly 8 out of 15 buyers preferring brown. This is an example of a binomial probability distribution, where we have a fixed number of trials (15 buyers) and each trial has only two possible outcomes (preferring brown or not preferring brown). We can use the formula for a binomial probability distribution to calculate the probability of exactly 8 buyers preferring brown:

P(X = 8) = (15 choose 8) x (0.5)⁸ x (0.5)¹⁵⁻⁸

where "15 choose 8" represents the number of ways we can choose 8 buyers out of 15, which is equal to 3003.

Using a calculator or statistical software, we can calculate this probability to be approximately 0.1967 or 19.67%

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