What is the range of the function shown in the graph?
у
A
8
6
4
2
-8
f
- 2
X
4
6
8
-2
-4
-64
-8-1

The result of each operation is given as follows:

a) a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

b) a ∩ b = {}.

c) a - b = {0, 2, 4, 6, 8}.

The union and intersection sets of multiple sets are defined as follows:

Item a:

The union set is composed by the elements that belong to at least one of the sets, hence:

a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

Item B:

The two sets are disjoint, that is, there are no elements that belong to both sets, hence the intersection is given by the empty set.

Item c:

The subtraction is all the elements that are on set a but not set b, hence:

a - b = {0, 2, 4, 6, 8}.

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Answer:

√89 or 9.43 units is the distance between Sophia's house and library

Step-by-step explanation:

H (1 ,1)  ⇒ House

L(6 , 9) ⇒ Library

Leg₁ = OH = 6 - 1 = 5 units

Leg₂ = OL = 9 - 1 = 8 units

            Hypotenuse² = leg₁² + leg₂²

                                   = 5² + 8²

                                    = 25 + 64

                                    = 89

              hypotenuse = √89 units  (radical form)

               hypotenuse = 9.43 units  

Random sampling is preferred over non-random sampling processes because it promotes sample representativeness, group equivalency for experiments, and reduces the likelihood of sample bias.

Random sampling does not necessarily promote external validity.

As the external validity depends on various other factors such as the sample size, sampling frame, and the research design.

Random sampling allows every member of the population to have an equal chance of being selected.

Which helps to ensure that the sample is representative of the population, and therefore promotes group equivalency for experiments.

Random sampling can also promote group equivalency for experiments.

As it helps to ensure that the groups being compared are similar in terms of their composition and characteristics.

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The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable).

It is denoted by r-squared and typically takes values between 0 and 1. A value of 0 indicates that the independent variable does not explain any of the variance in the dependent variable, while a value of 1 indicates that the independent variable explains all of the variance in the dependent variable. The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable). A higher R-squared value indicates a stronger regression relationship between the two variables.

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Answer:

13 units

Step-by-step explanation:

\(3^2+2^2=\sqrt{13^2} \\9+4=13\)

Answer:

The length of BC is 3.61 units.

Step-by-step explanation:

√13=3.60555128=3.61 (Round off to two places)

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Perpendicular given=3 units

Base given=2 units

H²=3²+2²

H²=9+4

H²=13

H=√13 units

H=3.61 units (approx)

Step 1. The two functions we have are:

And we are asked to find the composite function f(g(x)) and the domain.

Step 2. The function that we need to find is:

To find this, we substitute g(x) into the x value of f(x):

Step 3. Simplifying:

The square root and the power of two cancel each other

Distributing the multiplication by 2:

Combining the like terms:

Step 4. Find the domain. The domain is the set of possible values that the x variable can take.

Remember the two original functions:

for f(x) x can take any value. But for g(x) the square root cannot be a negative number, therefore, x-2 has to be equal to or greater than 0:

Solving for x:

This domain also applies to the composite function f(g(x)), and it can be written as follows:

Answer: Option four

Answer:

633.94 squared inches

Step-by-step explanation:

15.75 x 15.75 = 248.0625

12.25 x 15.75 x 1/2 = 96.46875

since there are 4 triangles and they are equivalent...

96.46875 x 4 = 385.875

Surface area is...

385.875 + 248.0625 = 633.9375

changing my answer hh

Answer:

2nd option

Step-by-step explanation:

the domain is from 0 to infinity

we count 0 because

f(0)=1 (just look in the graph)

so

\(x \geq 0\)

which is the 2nd option

Answer:

y = 5x - 23

Step-by-step explanation:

Slope: 5

Point (4, - 3)

y-intercept: -3 - (5)(4)

= -3 -20 = -23

y = 5x - 23

To meet the client's need for the same volume, the new radius of the cylindrical can should be approximately 4.9 cm.

What is the required new radius, rounded to the nearest tenth of a centimeter, for a cylindrical can with the same volume as the given can but a height of 15 cm?

To find the new radius that meets the client's needs, we can use the formula for the volume of a cylinder:

Volume = π * (radius)\(^2\) * height

Let's denote the current radius as r and the current height as h. We are given that r = 6 cm and h = 10 cm.

Using the given volume, we can set up the following equation:

π * (6 cm)\(^2\) * 10 cm = π * (new radius)\(^2\) * 15 cm

Simplifying the equation:

360π cm\(^3\) = 15π * (new radius)\(^2\) cm\(^3\)

Dividing both sides by 15π cm\(^3\):

24 cm\(^2\) = (new radius)\(^2\)

Taking the square root of both sides:

new radius = √24 cm ≈ 4.9 cm

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Determined by various factors such as sample size, statistical significance, and the chosen level of confidence. the probability that the test will fail to decide that the true value is 72.5 when it is indeed 72.5.  

In order to calculate the probability of a Type II error, one would need to know the specific details of the test being used, such as the sample size, the statistical power of the test, and the chosen level of significance.

In general, the probability of a Type II error increases as the sample size decreases and the level of significance decreases. This means that if the test being used is not sufficiently powered or if the level of confidence is too low, there is a higher probability of failing to detect a true effect.

If the test is not able to accurately determine if the statement is true or not when the actual value is 72.5, then there is a possibility that a Type II error has occurred. The probability of this error depends on the specific details of the test being used and cannot be determined without further information.

The probability of a test failing to decide a certain hypothesis is true, when it is actually true, can be determined using the concept of Type II error or false negative rate. In statistical hypothesis testing, Type II error (β) refers to the probability of failing to reject a false null hypothesis. These factors influence the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. The power of the test (1 - β) is complementary to the probability of making a Type II error.

In this case, the null hypothesis (H0) could be that the value is not equal to 72.5,

while the alternative hypothesis (H1) states that the value is equal to 72.5.

The probability you are looking for is the Type II error rate when the true value is 72.5.

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The feature NOT associated with the function h(x) is that the domain of h(x) is [0.).

The function h(x) is defined as (x - 5)² - log₁ x + 6.

Let's analyze each given option to determine which one is NOT a key feature of h(x).

Option 1 states that the domain of h(x) is [0, ∞).

However, the function h(x) contains a logarithm term, which is only defined for positive values of x.

Therefore, the domain of h(x) is actually (0, ∞).

This option is not a key feature of h(x).

Option 2 states that the x-intercept of h(x) is (5, 0).

To find the x-intercept, we set h(x) = 0 and solve for x. In this case, we have (x - 5)² - log₁ x + 6 = 0.

However, since the logarithm term is always positive, it can never equal zero.

Therefore, the function h(x) does not have an x-intercept at (5, 0).

This option is a key feature of h(x).

Option 3 states that the y-intercept of h(x) is (0, 25).

To find the y-intercept, we set x = 0 and evaluate h(x). Plugging in x = 0, we get (0 - 5)² - log₁ 0 + 6.

However, the logarithm of 0 is undefined, so the y-intercept of h(x) is not (0, 25).

This option is not a key feature of h(x).

Option 4 states that the end behavior of h(x) is as x approaches infinity, h(x) approaches infinity.

This is true because as x becomes larger, the square term (x - 5)² dominates, causing h(x) to approach positive infinity.

This option is a key feature of h(x).

In conclusion, the key feature of h(x) that is NOT mentioned in the given options is that the domain of h(x) is (0, ∞).

Therefore, the correct answer is:

O The domain of h(x) is (0, ∞).

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In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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To approach this type of problem, you have to make a couple of reasonable assumptions - first, that each worker works at the same pace, and second, that the effort to build each wall is the same.

Next, figure out how much effort is required to build one wall. The effort is measured in “working days”. So, how many days does one worker need to build one wall, or how many workers would be required to build one wall in one day? We can calculate this by dividing the 25 worker days used to build five walls by the number of walls (5). So we need five worker days per wall.

(5 workers) x (5 days) = 25 worker-days;

25 worker days/5 walls = 5 worker days per wall.

With 100 workers, it will take five days to build 100 walls. Each worker will build one wall in 5 days. So it will also take 5 days for all 100 workers to build all 100 walls.

100 x 5 = 500 worker days;

500 worker-days / 100 workers = 5 days (answer)

Using the normal distribution, it is found that 1234 pairs of jeans produced separates the lowest 33% of the means of jean production from the highest 67% in a sampling distribution of 12 factories.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

For this problem, the parameters are given by:

\(\mu = 1250, \sigma = 125, n = 12, s = \frac{125}{\sqrt{12}} = 36.08\)

The desired amount is the 33rd percentile, which is X when Z = -0.44, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

-0.44 = (X - 1250)/36.08

X - 1250 = -0.44 x 36.08

X = 1234.

1234 pairs of jeans produced separates the lowest 33% of the means of jean production from the highest 67% in a sampling distribution of 12 factories.

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Answer:

c 3×10⁹

Step-by-step explanation:

because the answer is 3000000000

Answer:

48 1/8s

Step-by-step explanation:

a whole is 8/8 so u multiply 8 by 16 to get 48

hope this helps

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\(\longrightarrow{\green{A.\:5.5 \: n - \frac{1}{2} \: p - 2}}\) ✔

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\(1 + 4.25 \: n + \frac{3}{2} \: p - 3 + ( - 2 \: p) + \frac{5}{4} \: n \)

Combining like terms, we have

\( = 4.25 \: n + \frac{5}{4} \: n + \frac{3}{2} \: p - 2 \: p + 1 - 3 \\ \\= 4.25 \: n + 1.25 \: n + 1.5 \: p - 2 \: p - 2 \\\\ = 5.5 \: n - 0.5 \: p - 2 \\ \\ = 5.5 \: n - \frac{1}{2} \: p - 2\)

\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)

The double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

The iterated integral to compute the double integral over the rectangle r = {(x,y) : 0 ≤ x ≤ π, 0 ≤ y ≤ a} of sin(xy) is given by:

∫∫r sin(xy) dA = ∫₀^a ∫₀^π sin(xy) dx dy

Integrating with respect to x first, we have:

∫₀^a ∫₀^π sin(xy) dx dy = ∫₀^a [-cos(πy) + cos(0)] dy

= ∫₀^a (1 - (-1)^n) dy

= a - (a/π)sin(πa)

For what values of a is ∫∫r sin(xy) dA equal to 1?

We need to solve the equation:

a - (a/π)sin(πa) = 1

Multiplying both sides by π, we get:

aπ - a sin(πa) = π

Now, let f(a) = aπ - a sin(πa) - π. We need to find the values of a such that f(a) = 0.

Using numerical methods, we can find that there is only one solution in the interval [0,π], which is approximately a = 0.986.

Therefore, the double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

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The integral of f(x, y) = 4x over the region D bounded above by y = x(2−x) and below by x = y(2−y) is equal to 2/3.

To find the integral of f(x, y) over the given region D, we need to set up the double integral over D and evaluate it. The region D is bounded above by the curve y = x(2−x) and below by the curve x = y(2−y).

To determine the limits of integration, we need to solve the equations x = y(2−y) and y = x(2−x) simultaneously. By rearranging the first equation, we have y² - 2y + x = 0. Applying the quadratic formula, we find that y = 1 ± sqrt(1 - x).

Since the lower boundary curve is quadratic, we choose y = 1 - sqrt(1 - x) as the lower limit of integration and y = x(2−x) as the upper limit. The limits for x are determined by the intersection points of the curves, which are x = 0 and x = 1.

Now, we set up the double integral: ∫∫D 4x dy dx. The integral is evaluated by integrating with respect to y first, then integrating with respect to x. Integrating 4x with respect to y yields 4xy. Evaluating this from y = 1 - sqrt(1 - x) to y = x(2−x) and integrating with respect to x from 0 to 1 gives us the final result:

∫[0,1] ∫[1-sqrt(1-x), x(2-x)] 4x dy dx = 2/3.

Therefore, the integral of f(x, y) = 4x over the region D is equal to 2/3.

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Answer:

if five integers are selected from the first eight positive integers, there must be a pair of these integers with a sum equal to 9

Step-by-step explanation:

Answer:

8.2 cm

Step-by-step explanation:

The given shows us that we will be using CAH from SOH CAH TOA where

cos theta = adjacent / hypotenuse

in this case it will be

. cos 47 = h / 12

we want h to be the subject so we will multiply both sides by 12

. h = cos 47 * 12

. h = 8.184

now all you have to do is round to 1d.p

. h = 8.2cm

Answer:

The questions does not make any sense

Step-by-step explanation:

You need to say how much they make an hour

Answer:4 hours

Step-by-step explanation:

Q1. p=a-i

Q2. l= 1/2p-w

Q3. t=d/s

I think that these are correct

TT is equal to T-1, so the given matrix is an orthogonal matrix.

What is an orthogonal matrix?

Here, the determinant of T,

 |T| = cos²∅ + sin²∅

      = 1

Now, its cofactors,

\(T_{11}\) = cos ∅

\(T_{12\) = sin ∅

       \(T_{21\)= -sin ∅

\(T_{22\) = cos ∅

Now, the adjoint matrix of cofactors matrix transpose \(T^T\) is equal to \(T^{-1.\)

Hence, the given matrix is an orthogonal matrix.

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Answer:

cannot factor further

Step-by-step explanation:

step 1: search online for factoring calculator

step 2: pick a site to use

step 3: enter problem and hit enter

step 4: see full solutions.

sorry I couldn't help more