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Answer:

Hence the required probability is, 3/4

Step-by-step explanation:  

At the shelter, he likes :  

a male coolie, a female coolie, a male boxer, a female boxer, a male beagle, a female beagle, a male Labrador, and a female Labrador.  

Let, A denote the event of selecting a male coolie and B denote the event of selecting a male Labrador.  

P(A) = 1/8 = P(B)  

Here the probability of selecting a puppy except A & B is,  

P(AUB)c = 1 - P(AUB) = 1 - { P(A) + P(B) } = 1 - 1/8 - 1/8 = 3/4

Answer:

1) A

B) 5.818 stops

Step-by-step explanation:

Number One is less than or equal to 21 because the person only has 21 dollars, so she can't spend more than 21.

B can be solved through the equation by first subtracting $5, and then dividing 2.75 by 16.

The best conclusion to make based on the data is: The difference of the means is significant because the re-randomizations show that it is outside the range of what could happen by chance.

Given:

Drug A= Decrease serotonin level by means of 36 nanograms per millimeter

Drug B= Decrease serotonin level by means of 20 nanograms per millimeter

Hence,

When we take a look at the difference of means data that was given, we would see that the different of means is significant  between the means of Drug A and Drug B due to chance or random variation.

Based on the fact that  the re-randomizations indicate that it is outside the range of what could happen by chance.

Therefore the correct option is A.

Learn more about difference of mean here:https://brainly.com/question/6281520

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Answer:

The difference of the means is NOT significant because the rerandomizations show that it is within the range of what likely happens by chance

Step-by-step explanation:

Took the test and this is 100% the answer. Hope it helps.

Answer:

D

Step-by-step explanation:

RS is a side.

RQ = QS  They are both equal to seven.

That means that the answer is A or D

Since the word side is in D, it must be the answer.

Answer:

B. The average weekly score is less than or equal to 7.

Step-by-step explanation:

The average weekly assignment score of students in a statistics class is 7 out of 10 points. Test if it has increased.

This means that at the null hypothesis it is tested that the mean score of the students has not increased, that is, it still is of at most 7, so:

[tex]H_0: \mu \leq 7[/tex]

And thus, the correct answer is given by option b.

Answer:

b

Step-by-step explanation:

Because only the customers who spend more than $100 get to complete the form. The other customers wont be able to complete it(people who spent less than $100). thats why the answer would be sampling bias.

Answer:

x^2 + 91x + 2500

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

x^2 + 3x + 50

(x-r)(x-s)

-> x^2-(r+s)x+rs

rs = 50, r + s = -3

-> (rs)^2 = 2500

(r+s)^2 = 9

-> r^2 + 2rs + s^2 = 9

-> r^2 + 2(50) + s^2 = 9

-> r^2 + s^2 + 100 = 9

-> r^2 + s^2 = -91

(x-r^2)(x-s^2)

-> x^2-(r^2+s^2)x+(rs)^2

-> x^2 - (-91)x + 2500

x^2 + 91x + 2500

Answer:

The answer to your questions are given below.

Step-by-step explanation:

To answer the question given above, we shall determine the value of x in each equation. This can be obtained as follow:

5x - 2x - 4 = 5

3x - 4 = 5

Collect like terms

3x = 5 + 4

3x = 9

Divide both side by 3

x = 9/3

x = 3

5x - (3x - 1) = 7

Clear the bracket

5x - 3x + 1 = 7

2x + 1 = 7

Collect like terms

2x = 7 - 1

2x = 6

Divide both side by 2

x = 6/2

x = 3

x + 2x + 3 = 9

3x + 3 = 9

Collect like terms

3x = 9 - 3

3x = 6

Divide both side by 3

x = 6/3

x = 2

2(2x - 3) = 6

Clear the bracket

4x - 6 = 6

Collect like terms

4x = 6 + 6

4x = 12

Divide both side by 4

x = 12/4

x = 3

4x - (2x + 1) = 3

Clear the bracket

4x - 2x - 1 = 3

2x - 1 = 3

Collect like terms

2x = 3 + 1

2x = 4

Divide both side by 2

x = 4/2

x = 2

5(x + 3) = 25

Clear the bracket

5x + 15 = 25

Collect like terms

5x = 25 - 15

5x = 10

Divide both side by 5

x = 10/5

x = 2

SUMMARY:

x = 2

x + 2x + 3 = 9

4x - (2x + 1) = 3

5(x + 3) = 25

x = 3

5x - 2x - 4 = 5

5x - (3x - 1) = 7

2(2x - 3) = 6

Answer:

Hello,

Step-by-step explanation:

[tex]Let\ (u_n)\ the\ geometric\ progression.\\\\r\ is\ the\ common\ ratio.\\\\u_3=u_0*r^3\\u_6=u_0*r^6\\\\\dfrac{u_6}{u_3} =r^3=\dfrac{\frac{243}{16} }{\frac{9}{2} } =\dfrac{27}{8} =(\frac{3}{2} )^3\\\\\boxed{r=\dfrac{3}{2} }\\\\\\u_3=u_1*r^2 \Longrightarrow\ u_1=\dfrac{u_3}{r^2} =\dfrac{\frac{9}{2} }{(\frac{3}{2^2}) } =2\\\\\\u_7=u_6*\dfrac{3}{2} =\dfrac{729}{32}[/tex]

Answer:

The answer is "0.340".

Step-by-step explanation:

[tex]n = 500\\\\x = 170[/tex]

Using formula:

[tex]\to \hat{p} = \frac{x}{n} = \frac{170}{500}=\frac{17}{50} =0.340[/tex]

Answer:

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Answer:

-

Step-by-step explanation:

-

Answer:

Step-by-step explanation:

Shaded area is the difference of the bigger circle and two smaller ones:

9514 1404 393

Answer:

  dy/dx = 2x +1

Step-by-step explanation:

The power rule can be used.

  d/dx(x^n) = n·x^(n-1)

Then the derivative of x² is 2x¹ = 2x, and the derivative of x = 1x⁰ = 1.

The derivative of the function is ...

  dy/dx = 2x +1

Step-by-step explanation:

volume of sphere = 288

based on formula, V = 4/3πr³

288 = 4/3(3.14)r³

288 = 4.187(r³)

r³ = 288/4.187

r =

[tex] \sqrt[3]{68.78} [/tex]

r = 4.09

= 4.1

Answer:

x = 12

Step-by-step explanation:

Missing length of the segment is the altitude of the right triangle.

Based on the geometric mean theorem, we would have the following:

h = √(ab)

Where,

h = x

a = 16

b = 9

Plug in the values:

x = √(16*9)

x = √144

x = 12

Answer:

χ²R = 8.643

χ²L = 42.796

0.20 < σ < 0.45

Step-by-step explanation:

Given :

Sample size, n = 23

The degree of freedom, df = n - 1 = 23 - 1 = 22

At α - level = 99%

For χ²R ; 1 - (1 - 0.99)/2= 0.995 ; df = 22 ; χ²R = 8.643

For χ²L ; (1 - 0.99)/2 = 0.005 ; df = 22 ; χ²L = 42.796

The confidence interval of σ ;

s * √[(n-1)/χ²L] < σ < s * √[(n-1)/χ²R)]

0.28 * √(22/42.796) < σ < 0.28 * √(22/8.643)

0.2008 < σ < 0.4467

0.20 < σ < 0.45

Step-by-step explanation:

c=3.14×3.14×10.1

=99.58196

9514 1404 393

Answer:

Step-by-step explanation:

The sum of torques about the pivot point is zero when the system is in equilibrium. That means the total of clockwise torques is equal to the total of counterclockwise torques. For this purpose, torque can be modeled by the product of mass and its distance from the pivot. The uniform beam can be modeled as a point mass at its center.

__

a) Let E represent the location of the center of mass of the beam. So, AE = 1.5 m. Then the distance from C to E is AC-AE = AC -1.5 and the CCW torque due to the beam's mass is (16 kg)(AC -1.5 m).

The distance from B to C is 3 m - AC, so the CW torque due to the particle at B is (7 kg)(3 -AC m)

These are equal, so we have ...

  16(AC -1.5) = 7(3 -AC)

  16AC -24 = 21 -7AC . . . . . eliminate parentheses

  23AC = 45 . . . . . . . . . . . add 7AC+24

  AC = 45/23 ≈ 1.957 . . divide by the coefficient of AC

  AC ≈ 2.0 meters . . . . rounded to 1 dp

__

b) The torques in this scenario are ...

  M(0.7) = 16(0.8) +7(2.3) . . . . . . AD = 0.7 m, DE = 0.8 m, DB = 2.3 m

  M = 28.9/0.7 ≈ 41.286 . . . . simplify, divide by the coefficient of M

  M = 41.3 kg . . . . rounded to 1 dp

_____

Additional comment

Torque is actually the product of force and distance from the pivot. Here, the forces are all downward, and due to the acceleration of gravity. The gravitational constant multiplies each mass, so there is no harm in dividing the equation by that constant, leaving the sum of products of mass and distance.

Answer:

The length of the loan was 2 years.

Step-by-step explanation:

Given that a computer is selling for $ 883, and the finance value is $ 1077.26 under an 11% simple interest loan, to determine what is the length of the loan, the following calculation must be performed:

883 x 0.11 = 97.13

(1077.26 - 883) / 97.13 = X

194.26 / 97.13 = X

2 = X

Therefore, the length of the loan was 2 years.

Answer:

Step-by-step explanation:

One way to find the area of any polygon is to find areas of all of its inside sections and then adding them together. For example, if I had a polygon made of a square stuck to a triangle, I could calculate the area of the polygon by adding the area of the square to the area of the triangle.

Answer:

Step-by-step explanation:

When you're looking to find things like f(2) and f(4) and f(-3000), etc. the number inside the parenthesis is an x value. Look to the graph, find that x value, and locate the y value that corresponds to it. f(2) = -8. f(-1) = 4. f(1) = -4. See?

Answer:

does not exist

Step-by-step explanation:

that what i put hope it helps

Solution :

P(H) = 0.7  ;  P(T) = 0.3

If heads, then Urn H,  1 blue and 4 red marbles.

If tails, then Urn T ,  3 blue and 1 red marbles.

a).

P ( choosing a Red marble )

= P (H) x P( Red from Urn H) + P (T) x P( Red from Urn T)

[tex]$=0.7 \times \frac{4}{5} + 0.3 \times \frac{1}{4}$[/tex]

= 0.56 + 0.075

= 0.635

b).  If P (B, if coin showed heads)

If heads, then marble is picked from Urn H.

Therefore,

P (Blue) [tex]$=\frac{1}{5}$[/tex]

             = 0.2

c). P (Tails, if marble was red)

[tex]$=P (T/R) = \frac{P(R/T)}{P(R)} \ P(T)$[/tex]

Where P (R/T) = P ( red, if coin showed tails)

                        [tex]$=\frac{1}{4}$[/tex]

                        = 0.25 (As Urn T is chosen)

P (R) =  P (Red) = 0.635 (from part (a) )

P (T) = P (Tails) = 0.3

∴ [tex]$P(T/R) = \frac{0.25 \times 0.3}{0.635}$[/tex]

                = 0.118

Answer:

[tex]y=\left(6\right)^{x}\ -3[/tex]

Step-by-step explanation:

Answer:

Slope: 1

Y-intercept: (0,3)

Step-by-step explanation:

The y intercept is when the slope reaches the y-axis line. In this case, it is given to us. Anything that is formed like this: (0, y) is the y-intercept.

Y intercept: (0, 3)

For slope, you can use the formula rise over run. [tex]\frac{Rise}{Run}[/tex]

From the picture, I have drawn the rise over run, which is [tex]\frac{3}{3}[/tex], which is also 1.

Slope: 1

Hope this helped.

Answer: 1

Step-by-step explanation: got it right on edge

Answer:

Step-by-step explanation:

4 x + y =

14

Answer:

4/10=2/5 therefore the answer to 2/5