4. In your own words, tell me what Ris. 5. Why do we need partial correlation?

Since the proposed side length of the square is between 6 and 7, we can assume that it is 6.5 hence, the lengths will be d = 6.5 and c = 9.19.

Here is what we were given:

Side length of square = 6 > x <7

A convenient assumption for this is 6.5

We also know that d and c and the base of two right triangles. where their hypotheses' are equal to the side lenght of the square = 6.5

we also know that the in between the line formed by D and C is a 90 degree angle.

Hence the sum of the other angle will be 45 degrees each.

This is  based on sum of angles in a triangle.

Hence,

c = b /sin(β)

= 6.5/sin (45)

= 6.5/0.70710678118

 c = 9.19

d = √c² - b²

 = √(9.19238815542512² - 6.52²)

= √42.25

d = 6.5

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Answer:

y= \(\sqrt{x}\)

Step-by-step explanation:

Answer:

seeing as no one is answering I will

Given data:

There is a fire = p

There is a smoke = q

In symbolic form, whenever there is a fire there is a smoke :

The correct option is (c)

Answer: I’m so sorry I don’t understand it but you should try Photomath it’s a app that helps with math and gives answers to math problems. Another good app is Socratic it looks for answers for any subject.

Step-by-step explanation:

We can reject the null hypothesis at the 0.05 level and accept the alternative hypothesis.

A one-sided test will test using the full alpha to test whether the result is far enough in one direction. A two-sided test will split the alpha in half to test whether the result is too big or too small.

The null hypothesis is:

\(\mathit{H}_{0}: \mu= 2.5\)

The alternative hypothesis is:

\(\mathit{H}_{1}: \mu > 2.5\)

The z-score for a mean of 3 is:

\(z = (x- \mu)/ (\sigma/ \sqrt{n})) \\ = (3-2.5)/(1.8/\sqrt{n})) \\ = (.5)/(1.8/6)) \\ = (.5)/(.3)) \\ = 1.666666667\)

The z-score for the 0.05 significance level is 1.645, which is less than the mean of 3 z score of 1.67.

Hence, we can go ahead and reject the null hypothesis

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Answer:

10 ( 12p - 6k)

Step-by-step explanation:

4p x 3 = 12p

2k x 3 = 6k

you cannot subtract 12p and 6k bcuz they do not have the same variables.

Answer:

y = -1.5x -1

Step-by-step explanation:

moves right 8

and down 12

so m = -12/8x or -1.5x

(4,-7) moves up 6, (0, -1)

The Translation is : (x,y) = (x- 1, y- 1).

WHAT IS TRANSLATION?

Translation is the process of conveying the meaning of a text written in the source language through a text written in the target language. The English language makes a terminological distinction between translating (the act of translating a written text) as well as interpreting (the act of communicating orally or symbolically between speakers of different languages); according to this distinction, transcription can only start once writing has been invented within a language community. There is always a chance that a translator will unintentionally render source-language words, grammar, as well as syntax into to the target-language rendering.

Here the triangle B is in translation to triangle C.

the ratio of x-coordinates is 2/-2 = -1, SO the scale factor of the dilation that maps (2,4) onto (-2,-4) is -1.

so, translation: (x,y) = (x- 1, y- 1).

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The differential equation z' = f(t,x) expresses the derivative of z as a function of t and x. An initial condition, such as z(to) = 10, specifies the value of z at some initial time to. The set R = {(t,2): 0 < t < 3} is a vertical line segment with x-coordinate 2 and y-coordinate between 0 and 3.

The following answers are determined as :

(a) In the context of ordinary differential equations, "existence" means that a solution to the differential equation exists for at least some interval of the independent variable.

(b) "Uniqueness" means that there is only one solution to the differential equation for any given initial condition. That is, if two solutions have the same initial condition, then they must be identical.

(c) The equation z' = f(t, x) is an ordinary differential equation in which the derivative of a function z is expressed as a function of the independent variable t and the dependent variable x. The function f(t, x) represents the rate of change of z with respect to t and x.

(d) The statement z(to) = 10 means that the function z has a specific value of 10 at some initial time to. This is known as an initial condition, which is necessary to uniquely determine a solution to the differential equation.

(e) The set R = {(t, 2): 0 < t < 3} is a subset of the xy-plane consisting of all points where the x-coordinate is equal to 2, and the y-coordinate is between 0 and 3 (exclusive). It is a vertical line segment starting at t = 0 and ending at t = 3. The interpretation of R depends on the context in which it appears.

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Answer:

1000

Step-by-step explanation:

20,000 divided by 20 is 1,000!

well, from 2010 to 2021  is 11 years later, so

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &11\\ \end{cases} \\\\\\ A=24500(1 + 0.035)^{11}\implies A=24500(1.035)^{11}\implies A\approx 35769\)

Answer:

y = 2x + 1

Step-by-step explanation:

\(\frac{5-3}{-3-1}\) = \(\frac{2}{-4}\) = \(\frac{1}{-2}\)

Perpendicular slopes are the opposite reciprocals .  So the slope of the line will be 2

slope (m) = 2

y = 3  You could use either point given.  I chose (1,3)

x = 1    From the point given (1,3)

y = mx + b  substitute in what you know and solve for b

3 = (2)(1) + b

3 = 2 + b   Subtract 2 from both sides

1 = b

The y-intercept is 1.

y = mx + b

y = 2x + 1

There are other methods to write a division issue, such as using a / or a to denote "divided by." As a result, in the equation 473 / 2 = 1 the divisor is the quotient, the remainder is 236, and the divisor is 2.

Divide the dividend's first digit, which should be on the left, by the divisor, then write the result as the quotient on top. Write the difference below after subtracting the outcome from the digit. Bring down the dividend's next digit (if present).

Long division strategy: lengthy division techniques. The same symbols are used for long division as they are for short division: dividend (the number being divided) under the "bus stop," divisor (the number the dividend is being divided by), quotient (the solution) on top, and each place value aligned with the dividend.

Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.

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The complete question is "Divide the given numbers 473 and 6 using our free online Long Division Calculator and determine the Quotient and Remainder as Q 78 R 5 instantly without any hurdles."

ar sjdh elsyxn to give sjdh d

Answer:

missing angle <60 and side lengths 5, 5\(\sqrt{3}\)

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x\(\sqrt{3}\)

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x\(\sqrt{3}\) = 5\(\sqrt{3}\)

Answer:

The 12'' one.

Step-by-step explanation:

The crust is at the perimeter of the pizza, and the pizza is a circle, so we just need to calculate the perimeter of the different pizza sizes, and see which one has a perimeter of 37.68 in.

First, you should remember that for a circle of radius R, the perimeter is:

P = 2*3.14*R

(notice that the measures in the image are the diameters of the pizzas, and the radius is half of the diameter)

The radius that we need to have if we want a perimeter of 37.68 in is given by:

P = 37.68 in = 2*3.14*R

   (37.68 in)/(2*3.14) = R = 6 inches.

Then we need a pizza of 6 inches (or a diameter of 2*6 inches = 12 inches)

Then the pizza that Ms. Van Rock should get is the 12 inch one.

Answer:

yes they are equivalent because if you were to add those R's they would make 3r

Step-by-step explanation:

r+r+r=3r

Step-by-step explanation:

Chapter 3 of Wheels of Change .

But the bicycle craze had a more lasting impact on women’s clothing than just the use of bloomers. Thanks in large part to cycling, the innovation of rational dress reformers were starting to take effect by the end of the 1890s. Corsets were on their way out, dresses were getting shorter, and women no longer wore the heavy, bulky undergarments that gave them round, unnatural shapes. These changes went a long way toward unburdening women and setting the stage for them to be healthier and more active in the coming century.

Based on the excerpt, women in the 1890s became more independent and their lives improved as a result of

a rise in the popularity of bicycles.

a rise in the popularity of corsets.

cycling becoming less socially acceptable.

clothing becoming more restrictive.

Answer:

to promote safer, more comfortable styles of dress for women

Step-by-step explanation:

to promote safer, more comfortable styles of dress for women

Answer:

3.7 rounded

Step-by-step explanation:

Just divide 11/3

Answer:

g(x)=x+9

Step-by-step explanation:

When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x

therefore, g(x)=x+9

Answer:

g(x)=x-8

Step-by-step explanation:

-2+2 = 0, so g(x) = x

5-13 = -8

4.1715 cm is the tenth-value layer. So, none of the given options (7.61 cm, 2.78 cm, 3.89 cm, 9.21 cm) matches the calculated value of the tenth-value layer.

Here, we have,

To determine the tenth-value layer, we need to find the thickness of the absorber required to reduce the intensity of the beam to one-tenth (10%) of its original value.

Given that the thickness of the absorber is 1.5 cm and 36.45% of the beam is attenuated, we can set up the following equation:

(1 - 36.45%)ⁿ = 10%

Here, 'n' represents the number of layers of absorber required to reach the tenth-value layer. Since we're looking for the thickness of the tenth-value layer, we need to solve for 'n' in the equation.

Let's calculate 'n':

(1 - 0.3645)ⁿ = 0.1

0.6355ⁿ = 0.1

Taking the natural logarithm (ln) of both sides:

n * ln(0.6355) = ln(0.1)

n = ln(0.1) / ln(0.6355)

Using a calculator, we find that n ≈ 2.781

Now, we can determine the thickness of the tenth-value layer by multiplying 'n' by the thickness of each absorber layer:

Tenth-value layer thickness = n * 1.5 cm

Tenth-value layer thickness ≈ 2.781 * 1.5 cm

Calculating this, we find that the approximate thickness of the tenth-value layer is 4.1715 cm.

Therefore, none of the given options (7.61 cm, 2.78 cm, 3.89 cm, 9.21 cm) matches the calculated value of the tenth-value layer, which is approximately 4.1715 cm.

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Answer:

Step-by-step explanation: your hot

Answer:

Step-by-step explanation:

The x intercept is the value of x when y = 0.  Use the equation to find the value of x:

y= -1x + 3

0 = -1x + 3

x = 3

The point is (3,0)

You can also graph it.  Attached.

Answer:

2.2 inches

Step-by-step explanation:

smallest dimension = (smallest ratio / total ratio) x volume

(smallest ratio = 1

total ratio = 1 + 1.5 + 4.2 = 6.7

(1/6.7) x 14.49 = 2.2 inches

Answer:

r = 3.6 , a = 2

Step-by-step explanation:

given that r is inversely proportional to a then the equation relating them is

r = \(\frac{k}{a}\) ← k is the constant of proportion

to find k use the condition when r = 12 , a = 1.5

12 = \(\frac{k}{1.5}\) ( multiply both sides by 1.5 )

18 = k

r = \(\frac{18}{a}\) ← equation of proportion

when a = 5 , then

r = \(\frac{18}{5}\) = 3.6

when r = 9 , then

9 = \(\frac{18}{a}\) ( multiply both sides by a )

9a = 18 ( divide both sides by 9 )

a = 2

Answer:

0

Step-by-step explanation:

Since you didn't attach an image of the graph I'll have to do this the hard way.

x + 2y = 2  (1)

2x + 4y = -8 (2)

x + 2y = -4 (Divide equation (2) by 2)

0 = 6 (Subtract the third equation from the first)

Since 0 is not equal to 6 the answer is No Solutions.

Answer:

no solutions

Step-by-step explanation:

x+2y=2

2x+4y=−8​

Multiply the first equation by -2

-2x -4y = -4

Add this to the second equation

-2x-4y = -4

2x +4y = -8

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

0x+0y = -12

0 = -12

This is never true so there are no solutions

Answer:

2=4,6,8,10,12

3=6,9,12,15,18

4=8,12,16,24,32

5=10,15,20,25,30

11=22,33,44,55,66

Answer: 12.2

Step-by-step explanation:

1572-1381 = 191

191/1572 = 0.122

0.122 x 100 = 12.15 / 12.2

A)  f(x) is a valid pdf because the integral of f(x) over the entire range is equal to 1.

B) The mean of X is 1/4 and the variance of X is 3/80

C) The probability that X is greater than or equal to 1/2 is 1/8.

D) the conditional probability that X is greater than or equal to 1/2 given that X is greater than or equal to 1/4 is 8/27

A) To show that f(x) is a valid pdf, we need to verify two conditions

f(x) is non-negative for all x.

The integral of f(x) over the entire range is equal to 1.

Since f(x) is defined as 3(1−x)^2 for 0≤x≤1, it is clear that f(x) is non-negative for all x in the range [0,1]. Outside of this range, f(x) is defined to be 0, which is also non-negative.

To verify the second condition, we can integrate f(x) from 0 to 1:

∫[0,1] f(x) dx = ∫[0,1] 3(1−x)^2 dx

= 3 ∫[0,1] (1-2x+x^2) dx

= 3 [(x - x^2/2 + x^3/3)]_0^1

= 3 [1/2 - 1/3]

= 1

Since the integral of f(x) over the entire range is equal to 1, f(x) is a valid pdf.

B) To find the mean of X, we can use the formula

E(X) = ∫[0,1] x f(x) dx

Using the given pdf f(x), we have:

E(X) = ∫[0,1] x * 3(1−x)^2 dx

= 3 ∫[0,1] x(1−x)^2 dx

We can use integration by substitution, letting u = 1 - x and du = -dx, to simplify this integral

E(X) = 3 ∫[1,0] (1-u) u^2 (-du)

= 3 ∫[0,1] u^2 (1-u) du

= 3 [u^3/3 - u^4/4]_0^1

= 3 [(1/3 - 1/4)]

= 1/4

Therefore, the mean of X is 1/4.

To find the variance of X, we can use the formula

Var(X) = E(X^2) - [E(X)]^2

To find E(X^2), we can use the formula

E(X^2) = ∫[0,1] x^2 f(x) dx

Using the given pdf f(x), we have

E(X^2) = ∫[0,1] x^2 * 3(1−x)^2 dx

= 3 ∫[0,1] x^2 (1−x)^2 dx

We can expand the integrand using the binomial theorem

E(X^2) = 3 ∫[0,1] (x^4 - 2x^3 + x^2) dx

= 3 [(x^5/5 - x^4/2 + x^3/3)]_0^1

= 3 [(1/5 - 1/2 + 1/3)]

= 1/5

Therefore, we have

Var(X) = E(X^2) - [E(X)]^2 = 1/5 - (1/4)^2 = 3/80

So the variance of X is 3/80.

C) To find P(X≥1/2), we need to integrate the pdf f(x) from 1/2 to 1

P(X≥1/2) = ∫[1/2,1] f(x) dx

= ∫[1/2,1] 3(1−x)^2 dx

Using integration by substitution, letting u = 1 - x and du = -dx, we can simplify this integral

P(X≥1/2) = ∫[0,1/2] 3u^2 du

= [u^3]_0^(1/2)

= (1/2)^3

= 1/8

Therefore, the probability that X is greater than or equal to 1/2 is 1/8.

D) To find P(X≥1/2 | X≥1/4), we need to use the conditional probability formula

P(X≥1/2 | X≥1/4) = P(X≥1/2 and X≥1/4) / P(X≥1/4)

Since X is a continuous random variable, we have

P(X≥1/2 and X≥1/4) = P(X≥1/2) = 1/8

To find P(X≥1/4), we can integrate the pdf f(x) from 1/4 to 1

P(X≥1/4) = ∫[1/4,1] f(x) dx

= ∫[1/4,1] 3(1−x)^2 dx

Using integration by substitution, letting u = 1 - x and du = -dx, we can simplify this integral

P(X≥1/4) = ∫[0,3/4] 3u^2 du

= [u^3]_0^(3/4)

= (3/4)^3

= 27/64

Therefore, we have:

P(X≥1/2 | X≥1/4) = (1/8) / (27/64)

= 8/27

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