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just olya [345]
3 years ago
14

Suppose 250 randomly selected people are surveyed to determine if they own a tablet. Of the 250 surveyed, 98 reported owning a t

ablet. Using a 95% confidence level, compute a confidence interval estimate for the true proportion of people who own tablets.
Mathematics
1 answer:
SashulF [63]3 years ago
6 0

Answer:

The true proportion for the population would be between 0.386 and 0,398 (0.392±0.06) in 95% confidence level.

Step-by-step explanation:

Confidence interval for true population proportion can be computed as p±ME where

  • p is the sample proportion ( \frac{98}{250}=0.392)
  • ME is the margin of Error from the mean

and margin of error (ME) can be found using the formula

ME=\frac{z*\sqrt{p*(1-p)}}{\sqrt{N} } where

  • z is the corresponding statistic in 95% confidence level (1.96)
  • p is the sample proportion ( \frac{98}{250}=0.392)
  • N is the sample size (250)

Using the numbers

ME=\frac{1.96*\sqrt{0.392*0.608}}{\sqrt{250} } ≈ 0.06

Then the true proportion for the population would be p±ME = 0.392±0.06 in 95% confidence level.

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How many different ways can an after school club of 13 students line up?
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Answer:

13! or 6227020800

Step-by-step explanation:

With no restrictions, we can figure out the answer to be 13! by the following analysis:

For the first position in line, there are 13 different students who could fill that spot. If we fill it and proceed to the next position in line, there are now only 12 students left who can fill it, since one is already in line. Then the next position only has 11 possibilities, and the next 10, and so on.

Multiplying all of this together gives us 13*12*11*10*9*8*7*6*5*4*3*2*1 or 13!

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3 years ago
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Find the sum of 5x^3-3x^2+5 and -2x^3+6x^2-5
Rasek [7]

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3 years ago
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the r
Genrish500 [490]

Answer:

width = 2 units

Step-by-step explanation:

If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.

the area of a rectangle is length * width

so just substitute the values that we have now.

x (length) * (x-4) width = 12 (area of rectangle)

so that gives us

x^2 - 4x =12

subtract 12 from both sides

x^2 - 4x - 12 =0

now factor this equation

x^2 + 2x - 6x -12 = 0

x(x+2) - 6(x+2) = 0

(x-6)(x+2) = 0

x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE

length = 6, and width = 6 -4 = 2

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Answer:

Solution in photo

Step-by-step explanation:

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choli [55]

Answer:

Pendulum will swing by an angle 0.666π

Step-by-step explanation:

We have given arc = 100\pi cm

And length of the pendulum l = 150 cm

Length of the pendulum will be equal to radius of the pendulum so r = 150 cm

Arc is given by arc=radius\times angle

So 100\pi =150\times\times  \Theta

\Theta =0.666\pi

So pendulum will swing by an angle 0.666π

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3 years ago
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