please do this for me

a) P20 is the 20th percentile, which separates the lowest 20% of the data from the highest 80%. To find P20, you would need to put the data in numerical order and find the value at the 20th percentile.

b) P67 is the 67th percentile, which separates the lowest 67% of the data from the highest 33%. To find P67, you would need to put the data in numerical order and find the value at the 67th percentile.

c) 34 is the 34th percentile, which separates the lowest 34% of the data from the highest 66%. It is the value at the 34th percentile

d) A boxplot is a graphical representation of a dataset that shows the minimum, first quartile, median, third quartile, and maximum of the data. To create a boxplot, you would need to put the data in numerical order, then calculate the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of the data. These values are then plotted on a graph, with the box representing the interquartile range (Q3 - Q1) and the whiskers representing the minimum and maximum values. The outliers(if any) will be plotted as dots

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While linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

This is an example of using linear regression to predict the weight of a kitten at a specific time (10 weeks in this case) based on the given linear model ŷ = 1.7 + 1.48t.

Using linear regression to make predictions is a common practice and can provide reasonable estimates in many cases. However, whether it is considered a best practice for prediction depends on various factors. Here are a few considerations:

Data quality: The accuracy and reliability of the predictions heavily depend on the quality of the data used to build the linear model. If the data used for training the model is representative and accurately reflects the underlying relationship, the predictions are likely to be more reliable.

Linearity assumption: Linear regression assumes a linear relationship between the predictor variable (in this case, time) and the response variable (kitten weight). If the relationship is not truly linear, the predictions may be less accurate. It is important to assess the linearity assumption and consider alternative models if needed.

Extrapolation: When making predictions outside the range of the observed data (such as predicting the weight at 10 weeks when the data only goes up to 8 weeks), caution should be exercised. Extrapolating beyond the observed range can introduce more uncertainty and may lead to less accurate predictions.

In summary, while linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

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Answer: True

Step-by-step explanation:

This triangle has 2 legs

leg a and leg b

and the longest side which is called the hypotenuse

Therefore this triangle fits the criteria of a right triangle

The triangle ΔWXY is a right angle triangle with sides √18 , √18 , √36

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the triangle be ΔWXY

Now , the sides of the triangle is

WX = √36

WY = √18

XY = √18

Now , for the triangle WXY to be a right angle triangle

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the value in the equation , we get

WX² = XY² + WY²

( √36 )² = ( √18 )² + ( √18 )²

36 = 18 + 18

36 = 36

Therefore , it is a right angle triangle

Hence ,

The triangle ΔWXY is a right angle triangle

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Answer:

P(-5) = 109

Step-by-step explanation:

     If the polynomial p(x) is divided by the linear polynomial (x-a), the remainder is p(a).

   Dividend = divisor * quotient + remainder.

   p(x) = (x-a) * q(x) + p(a)

Here, q(x) is the quotient and p(a) is the remainder.

      P(x) = 4x² - x + 4

     P(-5) = 4*(-5)² - 1*(-5) + 4

              = 4*25 + 5 + 4

              = 100 + 5 + 4

              = 109

The values of x such that (8, x, −10) and (2, x, x) are orthogonal are x = 2, 8.

Two vectors are orthogonal if their dot product is equal to zero. The dot product of two vectors (a₁, a₂, a₃) and (b₁, b₂, b₃) is given by:

a₁b₁ + a₂b₂ + a₃b₃ = 0

So we need to find x such that the dot product of (8, x, −10) and (2, x, x) is zero:

(8)(2) + (x)(x) + (−10)(x) = 0

16 + x² − 10x = 0

This is a quadratic equation, which we can solve by factoring or using the quadratic formula:

x² - 10x + 16 = 0

(x - 2)(x - 8) = 0

x = 2 or x = 8

Therefore, the values of x such that (8, x, −10) and (2, x, x) are orthogonal are x = 2, 8.

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Answer:

Volume = Length × Width × Height. Use this formula.

a) Same-side interior angles

b)

\(m\angle 1=6(10)+18=\boxed{78^{\circ}}\\m\angle2=9(10)+12=\boxed{102^{\circ}}\)

c) They are parallel by the same-side interior angles theorem.

Answer:

x= 3 so it should be 22 but thats not an option....

Step-by-step explanation:

        You were close, and have the right idea, but I think you did it a bit backwards! You want to "flip" it over the y=x line (picture attached below)

       To solve for the inverse, you will find the equation of the original, switch the x and y, then solve for y.

      We can (mostly, I think?) tell the equation for f(x) is as follows, so we switch the y and x for the steps following to solve for y:

[f(x)] y = -2x + 2

[switch] x = -2y + 2

[subtract 2 from both sides / flip equation] -2y = x - 2

[divide both sides by -2] y = -2x -4

So our equation for g(x) will be about y = 2x -4

(inverse so the negative is weird)

Photos:

- first is y=x

- second is the general idea of the inverse for what g(x) should look like

- third is kinda what the graph will look like (digitally)

I know this isn't a *perfect* answer, but I hope it explains it some and helps. Good luck! :D

Answer:

5 + 2x=2x + 6

Subtract 5 from both sides.

2x =2x + 6 - 5

Combine like terms (numbers).

2x = 2x + 1

Subtract 2x from both sides.

0 = 1

Since 0 doesn’t equal 1, there is no real solution to the problem.

:)

Step-by-step explanation:

\(5 + 2x = 2x + 6 \\ \\ 2x = 2x + 6 - 5 \\ \\ 2x = 2x + 1 \\ \\ 2x - 2x = 1 \\ \\ x = 1\)

Answer:

Yes, the answer is 'True'

Answer:

3.357

Step-by-step explanation:

18.8 / 5.6 = 3.357

Answer:

4,000

Step-by-step explanation:

Answer:

less than

\(1 \frac{1}{2} \)

I believe

4.

The volume of a cube equals its side cubed. Since the side of the cube is 12ft long, then its volume is given by:

Then, the volume of the cube, is:

5.

The volume of the prism equals the product of each of its dimensions. Then:

Then, the volume of the rectangular prism, is:

We can change the base formula by:

                           logₐ b = logₓ a /logₓ b

                                         OR

                           logₓ a, logₓ b = logₓ a

The change of base formula is used to change the base of a logarithm.  We know that "log" stands for a logarithm of base 10 and "ln" stands for a logarithm of base e. But there is no option to calculate the logarithm of a number with any other bases other than 10 and e.

The change of base formula solves this issue of changing base from e to 10, and from base 10 to e. Also, it is used in solving several logarithms problems.

Base Formula: -

The change of base formula is used to write a logarithm of a number with a given base as the ratio of two logarithms each with the same base that is different from the base of the original logarithm. This is a property of logarithms. You can see the change of base formula here.

Change of base formula

                            logₐ b = logₓ a /logₓ b

                                         OR

                            logₓ a, logₓ b = logₓ a

Change of Base Formula

Change of base formula can be represented as follows. Here the base of the given logarithm is also changed to a logarithm with a new base. The basic logarithm with a base is transformed to two logarithms with a new and same base. The change of base formula is:

                          logₐ  b = [logₐ x] / [logₐ y]

In this formula,

Change of Base Formula Derivation

Change of base formula derivation can be understood from the following steps. Let us assume that

log ₐ b = p, logₙ a = q, and logₙ b = r.

By converting each of these into exponential form, we get,

a = \(b^{p}\), a = \(x^{q}\), and b = \(n^{r}\)

From the first two equations,

\(x^{q}\) = \(n^{r}\)

Substituting b =  \(n^{r}\) (which is from third equation) here,

(\(n^{r}\))\(^{p}\) = \(x^{q}\)

\(n^{r}\))\(^{p}\) = \(x^{q}\)(Using a property of exponents)

p r = q

p = q / r

Substituting the values, we get,

logₐ  b = [logₐ x] / [logₐ y]
For Example:

Evaluate the value of log₆₄ 8 using the change of base formula.

Solution:

We will apply the change of base formula (by changing the base to 10). Note that log₁₀ is same as log.

log₆₄ 8 = [log 8] / [log 64]

            = [log 8] / [log 82]

            = [log 8] / [2 log 8]              [∵ log am = m log a]

            = 1 / 2

Answer: log₆₄ 8 = 1 / 2

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Answer:

Yes! Water is moist.

Step-by-step explanation:

Water is moist because water is a liquid.

From the dictionary:

moisture:

"water or other liquid diffused in a small quantity as vapor, within a solid, or condensed on a surface."

moisture is a type of liquid, and water can be 'diffused in a small quantity as vapor'

So, logically, water is moist.

Jimmy's age = (serena age + tyler age) - 1

Answer:

44 °

Step-by-step explanation:

In a right triangle such as this

  sin B = opposite leg / hypotenuse

  sin B =   20 / 29

   B = arcsin (20/29) = 44 degrees

A stadium brought in an average revenue of $11,000 per night for a professional sports tournament. Total receipts for the period of time the tournament took place was $132,000. This means the tournament took place throughout is 12 days

How to find the number of members ?

When the teachers joined the members of the chess club for a tournament, the number of members that Alan counted was 31 people which means that the number of members in the chess club would be this number, less the number of teachers.

A stadium brought in an average revenue of $11,000 per night for a professional sports tournament.

Total receipts for the period of time the tournament took place was $132,000.

This means the tournament took place throughout how many days?

since total divide by per night is equal to number of days

now 132000/11000= 12

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Answer: no answer

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.

\(\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}\)

Therefore, the correct answer is choice A. Hope this helps!

Answer:

ΔABC ~ ΔEDF

Step-by-step explanation:

ΔABC ~ ΔEDF

Given:

∠A = ∠E

∠B = ∠D

So,

We say that;

∠C = ∠F

By AAA;

Rule

ΔABC ~ ΔEDF

Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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Given the gross pay: $404.25

To calculate the federal tax which is 10%, we have:

Therefore, the federal tax is $40.425

ANSWER:

$40.425

Answer:

Escribí esto, así que espero que quede claro.

Step-by-step explanation:

Maybe 256x square 8

Answer:

im not sure i understand but i think you mean put them in order? if i get this wrong then i can answer it down in the comments under this answer

12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 4

please let me know if i got it wrong so i can try to answer it correctly. try adding a picture of the question cus i dont understand

Answer:

\((c)\ f(5) < g(3)\)

Step-by-step explanation:

Given

\(f(n) = 2(n-1) -1\)

\(g(n) = 3n + 6\)

Required

Which is correct

\((a)\ g(6) < f(6)\)

Calculate g(6) and f(6)

\(f(n) = 2(n-1) -1\)

\(f(6) = 2(6 - 1) -1 = 2*5-1=9\)

\(g(n) = 3n + 6\)

\(g(6) =3*6 +6 =24\)

(a) is false, because g(6) > f(6) i.e. 24 > 9

\((b)\ f(7) > g(10)\)

Calculate f(7) and g(10)

\(f(n) = 2(n-1) -1\)

\(f(7) = 2*(7-1)-1=2*6-1=11\)

\(g(n) = 3n + 6\)

\(g(10) =3*10+6=36\)

(b) is false, because f(7) < g(10) i.e. 11 <36

\((c)\ f(5) < g(3)\)

Calculate f(5) and g(3)

\(f(n) = 2(n-1) -1\)

\(f(5) =2 *(5-1)-1 = 2*4-1=7\)

\(g(n) = 3n + 6\)

\(g(3) = 3*3+6=9+6=15\)

(c) is true, because f(5) < g(3) i.e. 7 <15

Answer:

the answer is f(7) > g(10) because 63 > 36.

Step-by-step explanation: