Determine the values of P and E. for each of the following signals: (a) x1(t) = e^-2r (t)

Answer:

D. 4

Step-by-step explanation:

\( [(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\

=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\

=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\

=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\

=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\

=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\

=p^{2}\times q^{-4} \\\\

= \frac{p^2}{q^4}\\\\

= \frac{(-2)^2}{(-1)^4}\\\\

= \frac{4}{1}\\\\

= 4\)

Tariq paid $35.52 for the sunglasses after the discount and processing fee, rounded to the nearest cent. To get how much Tariq paid for the sunglasses after the discount and processing fee, we'll follow these steps:

1. Calculate the 20% discount on the original price of $37.
2. Subtract the discount from the original price to get the price after the discount.
3. Calculate the 20% processing fee on the price after the discount.
4. Add the processing fee to the price after the discount to get the final price Tariq paid. Then, round to the nearest cent.
Step 1: 20% of $37 = 0.20 * 37 = $7.40 (discount)
Step 2: $37 - $7.40 = $29.60 (price after discount)
Step 3: 20% of $29.60 = 0.20 * 29.60 = $5.92 (processing fee)
Step 4: $29.60 + $5.92 = $35.52 (final price)
So, Tariq paid $35.52 for the sunglasses after the discount and processing fee, rounded to the nearest cent.

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Answer:

Step-by-step explanation:

The problem shows a 90° angle split by a ray, we know that both angles are equal to 90° because the whole is equal to the sum of its parts therefore adding 6b+7 and 7b-8 gives us 90° which is simplified as

13b°-1°= 90°

add 1  to both sides

13b°-1° + 1° = 90° +1°

13b° = 91°

divide by 13

13b°/13 = 91°/13

b= 7°

chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

Given n = 93, u =24, x' = 23, α=5.5

z = x'- u / α(/√n) = (23-24/5.5/√5) = -1.75

Hence, chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

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The probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights is 0.3375.

What is Probability:

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Math's to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Now,

PDF of a Binomial (n, x) distribution is

given as

p(X=x).\(C^n_x P^x (1-p)^(n-x)\)    x =  0,1,2,

Here n = 9, 2:4, p = 0.3

P(x-4)= 9^c_4(0.3)^4 (0.75)^5 = 0·1715 Ans

R Code

We will use the function pGnom() which gives the Cumulative probability of an

Probability  of getting exactly 4 heads is

x <- pGnom (4,9, 0.3) - pGnom (3,9, 0.3)

(We substract 3 to get P(X = 4) since above we have P(X<4) - P(X ≤3)

b)

Expected number in a binomial distribution = np

We  have to equate the Expected values

So

9x0.3 = 8xp

os, p = 0.3375.

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Answer:  The image height is 28.20 cm.

Step-by-step explanation:

Using the mirror formula:

1/f = 1/v + 1/u

where f is the focal length, v is the image distance and u is the object distance.

We have f = -6.6 cm, u = -17 cm (since the object is placed in front of the mirror) and v is what we need to obtain

1/v = 1/f - 1/u1/v

= 1/-6.6 - 1/-171/v

= -0.1515v

= -6.6 / 0.1515v

= -43.56 cm

Since the image is formed behind the mirror and is virtual, the image height will be negative.

Using the magnification formula:

m = -v/um = (-43.56)/(-17)m = 2.5635

The magnification is positive, indicating that the image is upright. T

he height of the image is:

h_i = m * h_oh_i

= 2.5635 * 11

cmh_i = 28.20 cm (rounded to two decimal places

Therefore, the image height is 28.20 cm.

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The expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

The expected probability of a head coming up next given the results of the 25 coin flips is 15/25 = 0.6.

This is due to the fact that 15 of the 25 flips were heads, so the probability of the next head is 15 out of the 25 total flips which is equal to 0.6 or 60%.

However, since the probability of heads (m) is unknown, the expected probability of a head coming up next is still unknown.

Therefore, the expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

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Answer:

4/5÷3/10÷1/8

= 21.33

Step-by-step explanation:

4/5 = 0.8

3/10 = 0.3

1/8 = 0.125

0.8 ÷ 0.3 ÷ 0.125

= 21.33

Answer:

64/3

Step-by-step explanation:

(3/10): (10/3)

(1/8): (8/1) or 8

(4/5) ÷ (3/10) ÷ (1/8) = (4/5) × (10/3) × 8

                               = (4 × 10 × 8) / (5 × 3)

                               = 320 / 15 (divide each by 5)

                               → 320 ÷ 5 = 64

                               → 15 ÷ 5 = 3

Therefore, (4/5) ÷ (3/10) ÷ (1/8) = 64/3.

The average time Americans spend watching TV per day is reported to be approximately 300 minutes, following a normal distribution with a standard deviation of 26 minutes.

To address this question, we can use the provided information to describe the distribution of minutes per day spent watching TV by Americans.

Given that the distribution follows a normal distribution, we can assume that the data is symmetrically distributed around the mean. The mean of the distribution is given as 300 minutes.

The standard deviation, which measures the spread of the data, is stated as 26 minutes. This indicates that most people fall within one standard deviation of the mean.

Using the properties of a normal distribution, we can make various probabilistic statements. For example, approximately 68% of Americans would spend between 274 minutes (mean - 1 standard deviation) and 326 minutes (mean + 1 standard deviation) watching TV per day.

By understanding the characteristics of the normal distribution and the provided parameters (mean and standard deviation), we can analyze and make predictions about the amount of time Americans spend watching TV on a daily basis.

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In summary, the normal distribution is symmetric, its mean and median are equal, and it is described by its mean and standard deviation. However, it is not bimodal, as it does not exhibit multiple peaks.

The statement "d. It is bimodal" is not true about the normal distribution. The normal distribution is a symmetric probability distribution that is bell-shaped. It does not have multiple peaks or modes, making it unimodal rather than bimodal.

Here are explanations for the other statements:

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Answer:

  4x^2 +12x +44 remainder 161x +84

Step-by-step explanation:

At each step, the quotient term is the ratio of the leading dividend term to the leading divisor term. The first quotient term, for example, is ...

  (4x^4)/(x^2) = 4x^2

The quotient term found this way is multiplied by the divisor and subtracted from the dividend. The difference is the new dividend and the process repeats.

You're done when the degree of the dividend is less than the degree of the divisor. This remainder can be expressed as a fraction with the divisor as the denominator.

  \(\dfrac{4x^4+5x-4}{x^2-3x-2}=4x^2+12x+44+\dfrac{161x+84}{x^2-3x-2}\)

Answer:

7

Step-by-step explanation:

42/6=7

The inverse of the function (1/2)^x/3

Given function,

y = 3\(log_{1/2}\) x

Now,

y = 3\(log_{1/2}\) x

Let y = f(x)

then,

x = \(f^{-1} (y)\)

Now put \(f^{-1} (y)\) in the place of x,

y = 3\(log_{1/2}\) \(f^{-1} (y)\)

Simplifying,

y/3 = \(log_{1/2} f^{-1} (y)\)

\(f^{-1} (y) = 1/2^{y/3}\\\)

Replace y variable with x,

\(f^{-1} (x)\) = \((1/2)^{x/3}\)

Hence the inverse of function is \((1/2)^{x/3}\) .

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Answer: A , C and F

Step-by-step explanation:

Answer:

90000

Step-by-step explanation:

this baby has big brain

Answer:

60 Degrees

Step-by-step explanation:

Supplementary means it equals 180 together, so you divide it by 3 because the one is twice as big and you take the smaller answer

\(\frac{180}{3} =60\)

Small and large angle are 60° and 120°.

Given that;

Angles are supplementary

Computation:

Assume;

Smaller angle = a

So,

Large angle = 2a

So,

In supplementary

a + b = 180

a + 2a = 180

3a = 180

a = 60

Smaller angle = 60°

Large angle = 2(60)

Large angle = 180°

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The correct choice is (B) The limit does not exist. To understand why the limit does not exist, we need to examine the behavior of the expression (4x) / (x - 4) as x approaches 4 from both sides.

If we approach 4 from the left side, that is, x gets closer and closer to 4 but remains less than 4, the expression becomes (4x) / (x - 4) = (4x) / (negative value) = negative infinity.

On the other hand, if we approach 4 from the right side, with x getting closer and closer to 4 but remaining greater than 4, the expression becomes (4x) / (x - 4) = (4x) / (positive value) = positive infinity.

Since the expression approaches different values (negative infinity and positive infinity) from the left and right sides, the limit does not exist. The behavior of the function is not consistent, and it does not converge to a single value as x approaches 4. Therefore, the correct answer is that the limit does not exist.

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Answer: Once spliting and sharing the lasagna, there will be 3 1/2 or 3.5 left. :)

the number 1 transform to R squared, by LCM method.

The least Common Multiple is referred to as LCM. The lowest number that is both a multiple of both of the other two numbers is the least frequent multiple of those two numbers. The smallest positive integers that seem to be divided by both a and b is referred to in mathematics and number theory as that of the least common multiple (LCM), or the lowest common multiple of two numbers a and b.

the number 1 transform to R squared, by LCM.

The step by step detailed solution is given below:

cosθ = √(1 - sin²θ

= √1 - (Rθ + Rθ)² / R²

Here through LCM method the denominator becomes R² and in numerator 1, it becomes multiplied by R²

= √R² - (Rθ + Rθ)² / R²

= √R² - (Rθ + Rθ)² /√ R²

= √R² - (Rθ + Rθ)² / R

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The probability that a particular death is due to an automobile accident is 4%

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

total deaths in recent years = 1158

automobile accident resulted = 46 accidents

cancer deaths resulted = 226 accidents

heart disease deaths resulted = 388 accidents

the probability that a particular death is due to an automobile accident = 46/1158

                     = 0.04 or 4 % chances

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The statement 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value' is True.

In this question, we have been given a statement - 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.'

We need to state whether it is true or false.

We know that, the minimum value of the objective function Z = ax + by in a linear programming problem can also occur at more than one corner points of the feasible region.

Therefore, when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.

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The measure of the segment xy of the given right angle triangle is; 36 units

This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;

Cos f = Adjacent / Hypotenuse

Thus;

Cos f = 4/9

From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;

4/9 = 16/XY

Where XY is the unknown side

By cross multiplication, you now arrive at,

4XY = 9 * 16

XY = 144/4

XY = 36

Therefore, XY measures 36 units

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This Graph represents all the real numbers which are less than or equal to 8.(Please see the attached image.)

Graphing Inequalities -

While graphing inequalities, we have to keep the following things in mind.

If the endpoint is included(i.e., incase of ≤ or ≥ ) use a closed circle.

If the endpoint is not included (i.e., in case of < or >), use an open circle.

Use open circle at either ∞ or -∞ .  

Draw a line from the endpoint that extends to the right side if the variable     is greater than the number.

Draw a line from the endpoint that extends  to the left side if the variable is lesser than the number.

Writing Inequality in Interval Notation-

If the endpoint is included (i.e., in case of ≤ or ≥) use the closed brackets '[' or ']'.

If the endpoint is not included(i.e., in case of < or > ), use the open brackets '(' or ')'

Use always open bracket at either ∞ or - ∞

inequality form = q ≤ 8

interval notation = ( -∞, 8]

It means q = (-∞......................... -4,-3,-2,-1,0,1,2,3,4,5,6,7,8] (Please see the attached image).

Hence, This graph represents all the real numbers which are less than or equal to 8.

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Answer:

3.7

Round 5 up

Answer:

as decimal is approximately: 3.69231

Step-by-step explanation:

Answer:

purple

Step-by-step explanation:

Answer:

To create a "mini-triangle", we could use any number pairs (coordinates matter). We can use the side lengths of 4, 6, and 7 as they are the smallest pairs. It's a pretty easy concept which I'm sure you'll be able to grasp (I know you're smart! :) ). Ask your teacher if you have more questions. <3

Good luck!,

Answer:

Side Lengths of 4,6, & 7

Side Lengths of 8,9, &4

Step-by-step explanation:

According to the image given.

We must know that in order to be a triangle the following below must be include:

Note:

< ⇒ less than

> ⇒ greater than

= ⇒ equal

Solving all the given :

-------------------------------------------------------------------------------------------------------------

Side Lengths of 4,6, & 7

4 + 7 > 7

10 > 7

True

-------------------------------------------------------------------------------------------------------------

Side Lengths of 2,10,&3

2 + 3 > 10

5 <10

False

-------------------------------------------------------------------------------------------------------------

Side Lengths of 15, 7 , &8

7+8=15

15 = 15

False

-------------------------------------------------------------------------------------------------------------

Side Lengths of 1,4,&3

1+3>4

4=4

False

-------------------------------------------------------------------------------------------------------------

Side Lengths of 8,9,&4

8+4>9

12>9

True

-------------------------------------------------------------------------------------------------------------

Side Lengths of 6,7,&1

1+6=7

7=7

False

-------------------------------------------------------------------------------------------------------------

Kavinsky

Answer:

it all depends on how many squares they actually equal but if they are equal to 1 the slope is -1

Step-by-step explanation:

you will probably be asked later so if you need it the y-intercept it is -2 and the complete equation would be y = -1x - 2

Answer:i need more explaining

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

it just math