1. Solve the following set of equations by using substitution or elimination. (1 point)
[2x+y=1
2x+3y=-41
O (9,-18)
O (10,-19.5)
O (11,-21)
O (12,-22)

A = {x|x ∈ U and is an even positive integer}

The universal set(U) consists of only positive integers.

Given,  A = {x|x ∈ U and x is an odd positive integer}.

That means the set A contains all those elements which belongs to the universal set and should be a positive odd number.

refers to the complement of A. It means that it will contain all those elements that belong to U but does not belong to A.

All  the positive odd integer is made up of two types of number ,i.e, positive and negative number.

So,this set will contain all the element belonging to U and should be an even positive integer.

Therefore,Ac = {x|x ∈ U and is an even positive integer}.

Learn more about Sets:

https://brainly.com/question/2166579

#SPJ4

Answer:D:Ac = {x|x ∈ U and is an even positive integer}

Step-by-step explanation:

edge 2022

Answer:

D.

Step-by-step explanation:

The length of the unmarked side of the triangle is found by using Pythagoras:

x sqrt (10^2 - 6^2)

= sqrt 64

= 8.

The length of the curved part = 1/2 * pi * 10 = 5pi

Perimeter = 8 + 6 + 5pi

= 14 + 5pi

Answer:

D.  14 + 5π  inches

Step-by-step explanation:

1.  solve for the side of  a triangle using Pythagorean = \(\sqrt{(10^2 - 6^2)}\) = 8 in.

2. circumference of a half circle = πd /2  = π*10 / 2 = 5π in.

3. total perimeter = (8 + 6) + 5π = 14 + 5π

therefore, the answer is D.  14 + 5π  inches

It (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

In statistics, a simple random sample (or SRS) is a subset of people (a sample) picked at random from a larger group of people (a population), all with the same probability.

It is a method of choosing a sample at random. Each subset of k people in SRS has the same chance of getting selected for the sample as any other subset of k people.  

An objective sampling strategy is a straightforward random sample. Simple random sampling is a fundamental kind of sampling that can be used in combination with other, more sophisticated sampling techniques.

So, in the given situation of Mr. Goodmain and with all the information given we can conclude that it cannot be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s.

Therefore, it (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

Know more about a random sample here:

https://brainly.com/question/24466382

#SPJ4

Complete question:

Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year, he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Departments?

Hypotheses:

H0: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

H1: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

Enter the test statistic - round to 4 decimal places.

Enter the p-value - round to 4 decimal places.

Can it be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s?

a. Yes

b. No

Answer:

x+1=7 (x=6)  

Step-by-step explanation:

you add to the right side of the equation, and you get 6. hope this helps!

The price of a ticket exceeds its expected value by $0.75.

In this raffle scenario, we need to find out by how much the price of a ticket exceeds its expected value.

Step 1: Determine the probability of winning each prize.
- The probability of winning the first prize: 1/1000 (1 winning ticket out of 1000)
- The probability of winning a second prize: 3/1000 (3 winning tickets out of 1000)
- The probability of not winning any prize: 996/1000 (996 losing tickets out of 1000)

Step 2: Calculate the expected value of each outcome.
- Expected value of winning the first prize: (1/1000) * $100 = $0.10
- Expected value of winning a second prize: (3/1000) * $50 = $0.15
- Expected value of not winning any prize: (996/1000) * $0 = $0

Step 3: Add the expected values together.
- Total expected value: $0.10 + $0.15 + $0 = $0.25

Step 4: Determine the difference between the price of a ticket and its expected value.
- Difference: $1.00 (ticket price) - $0.25 (expected value) = $0.75

To know more about the probability refer to

https://brainly.com/question/13604758

#SPJ11

To put the numbers in order from least to greatest, we can use the number line: -3.5 -2.1 -1 -0.5 0.5 2 4 4.2 5 5.8  Two numbers that are opposites and each more than 6 units away from 0 are -7 and 7.

First, let's put the numbers in order from least to greatest:

-3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4, 4.2, 4.8, 5

Now, let's find two numbers that are opposites and each more than 6 units away from 0. One example would be -7 and 7. These numbers are opposites (since they have the same magnitude but different signs), and they are both more than 6 units away from 0.

More on numbers: https://brainly.com/question/11286002

#SPJ11

Answer:

0

Step-by-step explanation:

To find the inverse, or \(G^{-1}\) , we must switch G(x) and x, and then make G(x) \(G^{-1} (x)\) as we are finding the inverse, and G(x) represents the starting equation.

\(x = 3G^{-1} (x)+1\\x -1 = 3G^{-1} (x)\\\\\frac{x-1}{3} = G^{-1} (x)\\\)

The steps used here are that we firt subtracted 1 from both sides, and then divided 3 from both sides.

To find \(G^{-1} (1)\), we simply plug 1 into x in the inverse function, so our answer is \(\frac{1-1}{3} =0\)

B is the correct answer

A,C,D are not true

The exponential equation that is equivalent to the logarithmic equation x-ln9.45 is the option D, which is e^9.45. The logarithmic equation ln 9.45 is equivalent to the exponential equation e^x = 9.45.To explain this, we will first define what a logarithmic equation is.

A logarithmic equation is a type of equation that involves logarithms of variables. A logarithm is the inverse of an exponential function, meaning it "undoes" an exponential function. The logarithmic function is defined as:loga (b) = x, where a is the base of the logarithm, b is the of the logarithm, and x is the value of the logarithm.The exponential equation is defined as e^x = y, where e is the natural base of logarithms and y is the value of the exponential function evaluated at x.

In this case, the logarithmic equation is x-ln9.45. To find the equivalent exponential equation, we can raise e to both sides of the equation:e^(x-ln9.45) = e^x / e^ln9.45= e^x / 9.45e^x= 9.45e^(ln9.45)= 9.45 * 9.45 = 89.1025This means that the equivalent exponential equation is e^x = 89.1025, which is not one of the options given. However, the closest option is D, e^9.45, which is the answer.

To know more about equivalent visit :

https://brainly.com/question/25197597

#SPJ11

Answer:

Step-by-step explanation:

Original 873  New 781

The new went down by about 10.5%

873*10.5%= 91.67

873-91.67= 781.33

It decreased 10.5%

Answer: 2

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

√7 ≈ 2.66

14/5 = 2.8

2.66 < 2.8

√7 < 14/5

Best of Luck!

The length of the 1 inch nail weighing 18 mg is 25.4 mm

An equation is an expression showing the relationship between numbers and variables.

Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.

1 inch = 0.0254 meter

1 m = 1000 mm

Given the nail is 1 inch, hence:

1 inch = 0.0254 m

0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm

The length of the nail is 25.4 mm

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Step-by-step explanation:

Given that,

12 over 30 and 18 over 45

We need to tell whether the ratios are Proportional or Not Proportional.

\(\dfrac{12}{30}=\dfrac{2}{5}\)

And

\(\dfrac{18}{45}=\dfrac{2}{5}\)

The ratio for both fraction is same i.e. 2/5 Hence, each ratios are Proportional.

Answer:

-27

Step-by-step explanation:

The 3, an x value, is an input. We can put it into the equation given to solve.

-> We can also graph it, see attached.

y = \(-3^{x}\)

y = \(-3^{3}\)

y = -27

-> 3 * 3 = 9, 9 * 3 = 27, then we take the negative into account giving us -27

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

  (3, -27), (-2, -1/9), (-1, -1/3), (6, -729)

Step-by-step explanation:

The number of minus signs in the problem makes it somewhat tricky. Every y-value will be negative. Negative x-values will result in a fraction for the y-value, where the denominator is the positive power of 3.

Relevant powers of 3 are ...

__

The missing y-values are ...

  -3^3 = -27

  -3^-1 = -1/3

The missing x-values are ...

  -1/9 = -3^(-2) . . . x = -2

  -729 = -3^6 . . . x = 6

__

The completed ordered pairs are ...

  (3, -27), (-2, -1/9), (-1, -1/3), (6, -729)

The inverse Laplace transform of ℒ^-1 8s - 16 (s^2 + s)(s^2 + 1) is:

\(-4(e^-t - 1) - 4e^(-t) sin(t) - 4cos(t)\)

To find the inverse Laplace transform of ℒ−1 8s − 16 (s2 s)(s2 1), we can first simplify the expression:

\(8s - 16 (s^2 + 1)(s^2 + s)= 8s - 16 (s^4 + s^3 + s^2 + s)= -16s^4 - 16s^3 + 8s^2 - 16s\)

We can then use partial fraction decomposition to write this expression as a sum of simpler fractions:

\(-16s^4 - 16s^3 + 8s^2 - 16s = (-4s^2 + 4s - 4)/(s + 1) + (-4s^2 - 8s)/(s^2 + 1) + (-4s)/(s^2 + 1)\)

To find the inverse Laplace transform of each term, we can use theorem

\(L^-1 (-4s^2 + 4s - 4)/(s + 1) = -4L^-1 (s + 1) + 4ℒ^-1 1 = -4(e^-t - 1)\\L^-1 (-4s^2 - 8s)/(s^2 + 1) = -4L^-1 (s + 2i)/(s^2 + 1) = -4e^(-t) sin(t)\\ℒ^-1 (-4s)/(s^2 + 1) = -4ℒ^-1 (s/(s^2 + 1)) = -4cos(t)\)
Therefore, the inverse Laplace transform of ℒ^-1 8s - 16 (s^2 + s)(s^2 + 1) is:

\(-4(e^-t - 1) - 4e^(-t) sin(t) - 4cos(t)\)

learn more about inverse Laplace transform

https://brainly.com/question/31322563

#SPJ11

The sample means are distributed along the x-axis for a sampling distribution of a sample mean.

A sample mean is an average of a set of data, that can be used to calculate the central tendency, standard deviation and the variance of a data set.

Now,

To learn more about sample mean, refer to the link:https://brainly.com/question/12892403

#SPJ4

Answer:

Due to having 24 divisors.

Step-by-step explanation:

360 has many factors which might be the reason it was chosen for the number of degrees in a full turn. There are total 24 divisors of 360 number which make it the highest factors among all numbers. All circles are divided into 360 even parts so that the Sun would move through 1 part each day. Each of these parts was describes 1 degree and this division give us the idea that a circle contains 360 degrees so we can say that this is the reason that 360 is chosen in degrees.

Answer:

37

Step-by-step explanation:

\(\tt Step-by-step~explanation:\)

To find the answer, we could plug in random numbers and see if the equation is true all the time, or only one works.

\(\tt First~try:~0\)

We'll plug in 0 for c and see if the equation is still true.

\(\tt 7(0)+3=3+7(0)\\0+3=3+0\\3=3\\TRUE\)

\(\tt Second~try:~1\)

Let's plug in 1 for c this time.

\(\tt 7(1)+3=3+7(1)\\7+3=3+7\\10=10\\TRUE\)

\(\tt Third~try:~2\)

Finally, plug in 2. We could have only done 2 numbers, but I'll do a third one to demonstrate.

\(\tt 7(2)+3=3+7(2)\\14+3=3+14\\17=17\\TRUE\)

\(\large\boxed{\tt Our~final~answer:~All~solutions}\)

Answer:

151 ft

48 ft/s

Step-by-step explanation:

h(t)=-16t^2+v₀t+h₀

v₀ = 96  and

h₀ = 7

h(t)=-16t^2+96t+7

The maximum height is at the vertex

The x values of the vertex is at

x = -b/2a = -96/ (2*-16) = -96/-32 =3

Substitute this into the function to find the maximum height

h(3) = -16 ( 3)^2 +96*3+7

    -16*9 +288+7

     151

The maximum height is 151 ft

Average rate of change from 0 to 3

h(3) - h(0)

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

3-0

151 -7

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

3

144/3

48ft/s

The probability that the sample mean will be larger than 49 can be calculated using the standard normal distribution.



Since we know the population mean and standard deviation, we can use the central limit theorem to assume that the distribution of sample means is normal with a mean of 52 and a standard deviation of 20/√50) = 2.83.

To find the probability that the sample mean will be larger than 49, we can standardize the distribution using the z-score formula:

z = (sample mean - population mean) / (standard deviation / √(sample size))

z = (49 - 52) / (20/√(50)) = -1.77

Using a standard normal distribution table or calculator, we can find that the probability of z being less than -1.77 is approximately 0.0384.

Therefore, the probability that the sample mean will be larger than 49 is:

1 - 0.0384 = 0.9616

or 96.16%.

Calculation:

z = (49 - 52) / (20/√50)) = -1.77

Probability of z being less than -1.77 = 0.0384

Probability of sample mean being larger than 49 = 1 - 0.0384 = 0.9616 or 96.16%.

To know more about central limit theorem visit:

brainly.com/question/18403552

#SPJ11

Answer:

$ 8.45

Step-by-step explanation:

3.85 * 3 = 11.55

20 - 11.55 = 8.45

A standard normal distribution table, or a calculator with a built-in CDF function for the standard normal distribution to calculate this probability.

To calculate the probability of an event occurring between two independent normally distributed variables, we can use the standard normal distribution and the properties of linear combinations of normal variables.

Suppose we have two independent random variables X and Y that are normally distributed with means μX and μY, and standard deviations σX and σY, respectively. Let Z be a linear combination of X and Y given by Z = aX + bY, where a and b are constants.

Then, Z is also normally distributed with mean μZ = aμX + bμY and standard deviation σZ = sqrt(a^2 * σX^2 + b^2 * σY^2).

To calculate the probability of an event occurring between two values, say a and b, for the variable Z, we first standardize Z to a standard normal variable Z* using the formula:

Z* = (Z - μZ) / σZ

Then, we can use the cumulative distribution function (CDF) of the standard normal distribution to calculate the probability of the event occurring between a and b as:

P(a < Z < b) = P[(a - μZ) / σZ < Z* < (b - μZ) / σZ]

We can use statistical software, a standard normal distribution table, or a calculator with a built-in CDF function for the standard normal distribution to calculate this probability.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(\(\sqrt{x}\) )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

Answer:

2 units

Step-by-step explanation:

From one crest (high point) to the next crest  point is one period....

  this covers 2 units on this graph

To determine the maximal velocity from an acceleration vs. time graph, you need to follow these steps:

Identify the time interval during which the acceleration remains constant or nearly constant. This interval can be identified as a straight line on the graph.

Calculate the acceleration value during this interval by finding the slope of the line. The slope is the change in acceleration divided by the change in time.

Use the acceleration value and the time interval to calculate the change in velocity during this interval using the formula:

Δv = aΔt

Where Δv is the change in velocity, a is the acceleration, and Δt is the time interval.

Add the change in velocity to the initial velocity at the start of the time interval to obtain the maximal velocity. If the initial velocity was zero, then the maximal velocity will be equal to the change in velocity.

vmax = vi + Δv

Where vmax is the maximal velocity and vi is the initial velocity.

Note that this method assumes that the acceleration is constant or nearly constant during the time interval of interest. If the acceleration changes significantly during this time interval, you will need to break it down into smaller intervals and repeat the above steps for each interval to determine the maximal velocity.

Know more about maximal velocity here:

https://brainly.com/question/30505958

#SPJ11

swipe the picture to the left ←

\( \mathfrak{WatanabeHaruto}\)