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Alenkasestr [34]
3 years ago
8

Participants in a survey were asked whether they favored or opposed the death penalty for people convicted of murder. Software s

hows the results below. Here, X refers to the number of the respondents who were IN FAVOR of the death penalty.
x n Sample p 95.0% CI

1764 2565


Show how to obtain the value that should be reported under "Sample p."
Mathematics
1 answer:
disa [49]3 years ago
7 0

Answer:

 P = 0.688

Step-by-step explanation:

Since x= 1764, n = 2565

95%. CI= ( 0.670, 0.706)

a) P=  x/n

   P = 1764/2565

   P = 0.688

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Solve the equations for all values of x by completing the square x^2+62=-16x
lorasvet [3.4K]

Answer:

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Step-by-step explanation:

To complete the square, we first have to get our equation into ax^2 + bx = c form.

First we add 16x to both sides:

x^2 + 16x + 62 = 0

And now we subtract 62 from both sides.

x^2 + 16x = -62

We now have to add (\frac{b}{2})^2 to both sides of the equation. b is 16, so this value becomes (16\div2)^2 = 8^2 = 64.

x^2 + 16x + 64 = -62+64

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 8\cdot8=64 and 8+8=16.

(x+8)^2 = -62 + 64

We can now take the square root of both sides.

x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}

We can now isolate x on one side by subtracting 8 from both sides.

x = \pm\sqrt{2} - 8

So our solutions are

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Hope this helped!

4 0
3 years ago
Please could someone help me ?
Marta_Voda [28]

Answer:

Step-by-step explanation:

Sin58 = opp/hyp

Sin58 = CB/14

CB = 14 × sin58°

CB = 11.9cm

8 0
3 years ago
A 15-foot ladder is leaning against a house. The bottom of the ladder is 9 feet away from the base of the house. How far up the
vitfil [10]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

h = √144 = 12 feet

7 0
3 years ago
Find the perimeter of a rectangle with a length of
Luba_88 [7]

Answer:

P = 8\sqrt{2} + 10 + 2\sqrt{6}

Can only be simplified through calculator using decimal equivalents.

Step-by-step explanation:

The perimeter of a rectangle is the formula P=2l+2w. Here l=4\sqrt{2} and w=5+\sqrt{6}. So the perimeter is:

P= 2l+2w\\P = 2(4\sqrt{2} ) + 2(5+\sqrt{6} )\\P = 8\sqrt{2} + 10 + 2\sqrt{6}


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de Valen $390 entrega personal de tal modo que la parte de la primera sea igual al doble de la segunda menos 60
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Answer:

http://www.ametys.ma/sites/default/files/webform/10_0.html

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Step-by-step explanation:


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