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olchik [2.2K]
3 years ago
8

A 78​% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and as

k them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below.Find the mean of the binomial distribution ​(Round to the nearest tenth as​ needed.)Find the variance of the binomial distribution. (Round to the nearest tenth as​ needed.)Find the standard deviation of the binomial distribution. (Round to the nearest tenth as​ needed.)Most samples of 6 adults would differ from the mean by no more than nothing. ​(Type integers or decimals rounded to the nearest tenth as​ needed.)
Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of U.S. adults who think that political correctness is a problem in America today. Since it is a binomial probability distribution, the probability if success, p = 78/100 = 0.78

The probability of failure, q = 1 - p = 1 - 0.78 = 0.22

Number of samples = 6

Mean = np = 6 × 0.78 = 4.7

Variance = npq = 6 × 0.78 × 0.22 = 1.0

Standard deviation = √variance = 1.0

Most samples of 6 adults would differ from the mean by no more than 1

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The cone and the cylinder below have equal surface area. True or false.
WARRIOR [948]

Answer:

False

Step-by-step explanation:

The surface area of the cone is

V=\pi r^2 +\pi rl

SA=\pi r^2 +\pi\times r\times 2r

SA=\pi r^2 +2\pi\times r^2

SA=3\pi r^2

The surface area of the cylinder is:

SA=2\pi r^2 +2\pi rh

SA=2\pi r^2 +2\pi\times r\times r

SA=4\pi r^2

3 0
3 years ago
Co-payment is 20% of $23,890 , her co-payment is
Sidana [21]

the answer to the question is 4,778

3 0
3 years ago
Identify which statement is true a. -0.3 greater than -0.3 (repeats) b. 7/8 is greater than 9/10 C. 1 2/3 greater than 1.7 D. -1
geniusboy [140]
A. -0.3 equals (=) -0.3 so that's false
B. 7/8 is less than (>) 9/10
C. 1 2/3 is less than (<) 1.7
D. -1.2 is less (<) 0.521
3 0
3 years ago
How do you solve his with working
AlexFokin [52]
Check the picture below.

a)

so the perimeter will include "part" of the circumference of the green circle, and it will include "part" of the red encircled section, plus the endpoints where the pathway ends.

the endpoints, are just 2 meters long, as you can see 2+15+2 is 19, or the radius of the "outer radius".

let's find the circumference of the green circle, and then subtract the arc of that sector that's not part of the perimeter.

and then let's get the circumference of the red encircled section, and also subtract the arc of that sector, and then we add the endpoints and that's the perimeter.

\bf \begin{array}{cllll}&#10;\textit{circumference of a circle}\\\\ &#10;2\pi r&#10;\end{array}\qquad \qquad \qquad \qquad &#10;\begin{array}{cllll}&#10;\textit{arc's length}\\\\&#10;s=\cfrac{\theta r\pi }{180}&#10;\end{array}\\\\&#10;-------------------------------

\bf \stackrel{\stackrel{green~circle}{perimeter}}{2\pi(7.5) }~-~\stackrel{\stackrel{green~circle}{arc}}{\cfrac{(135)(7.5)\pi }{180}}~+&#10;\stackrel{\stackrel{red~section}{perimeter}}{2\pi(9.5) }~-~\stackrel{\stackrel{red~section}{arc}}{\cfrac{(135)(9.5)\pi }{180}}+\stackrel{endpoints}{2+2}&#10;\\\\\\&#10;15\pi -\cfrac{45\pi }{8}+19\pi -\cfrac{57\pi }{8}+4\implies \cfrac{85\pi }{4}+4\quad \approx \quad 70.7588438888



b)

we do about the same here as well, we get the full area of the red encircled area, and then subtract the sector with 135°, and then subtract the sector of the green circle that is 360° - 135°, or 225°, the part that wasn't included in the previous subtraction.


\bf \begin{array}{cllll}&#10;\textit{area of a circle}\\\\ &#10;\pi r^2&#10;\end{array}\qquad \qquad \qquad \qquad &#10;\begin{array}{cllll}&#10;\textit{area of a sector of a circle}\\\\&#10;s=\cfrac{\theta r^2\pi }{360}&#10;\end{array}\\\\&#10;-------------------------------

\bf \stackrel{\stackrel{red~section}{area}}{\pi(9.5^2) }~-~\stackrel{\stackrel{red~section}{sector}}{\cfrac{(135)(9.5^2)\pi }{360}}-\stackrel{\stackrel{green~circle}{sector}}{\cfrac{(225)(7.5^2)\pi }{360}}&#10;\\\\\\&#10;90.25\pi -\cfrac{1083\pi }{32}-\cfrac{1125\pi }{32}\implies \cfrac{85\pi }{4}\quad \approx\quad 66.75884

7 0
3 years ago
1) -24, -4, 16, 36, ...<br> Find a23
viktelen [127]

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

  • a = the first term in the sequence
  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

  • a = -24
  • n = 23
  • d = (-24 - (-4) = -20

Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

7 0
2 years ago
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