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Oksi-84 [34.3K]
3 years ago
14

A survey of 125 randomly selected teens ages 13 to 16 found that 33 of them play soccer, 27 of them play basketball, 24 of them

play baseball, 28 of them play softball, 16 of them play a sport not listed, and 35 of them did not play a sport at all. Which inference can best be made about the results of the survey? Many teens ages 13 to 16 play more than one sport. Most teens ages 13 to 16 don't play a sport. Many teens ages 13 to 16 prefer to play football. More teens play soccer than any other sport.
Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0
I think it is "More teens play soccer than any other sport"
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What best describes the asymptote of an exponential function of the form f(x)=b^x?
horrorfan [7]

It depends on the value of b


Exponential functions are defined for positive values of the base [ŧex] b [/tex]. Also, they're not defined if b=1, or at least let's say that this is a trivial case, since it is the constant function 1.


Case 0<b<1:

If the base sits between 0 and 1, the exponential function is constantly decreasing. The explanation is quite intuitive, assume for the sake of simpleness that b is rational. If it sits between 0 and 1, it means that it can be written as a fraction p/q, with p<q. So, if you give a large exponent to b, you obtain


\frac{p^x}{q^x},\quad p^x \ll q^x \text{ as } x \to \infty


On the other hand, if you consider negative exponents, you switch numerator and denominator and then raise to the same exponent the fraction q/p, which gets larger and larger.


So, if 0<b<1, we have


\lim_{x \to -\infty} b^x = \infty,\qquad \lim_{x \to \infty} b^x = 0


and thus 0 is a horizontal asymptote as x tends to (positive) infinity.


Case b>1:

This case is very similar, except all roles are inverted. Now you start with a fraction p/q where p>q. So, with positive, large exponents you get


\frac{p^x}{q^x},\quad p^x \gg q^x \text{ as } x \to \infty


And as before, negative exponents switch numerator and denominator, so the fraction becomes q/p and thus you have


\lim_{x \to -\infty} b^x = 0,\qquad \lim_{x \to \infty} b^x = \infty


So, again, 0 is a horizontal asymptote, but this time for x tending towards negative infinite.

6 0
3 years ago
Read 2 more answers
Are 30/80 and 24/64 proportional
Flura [38]

Answer:

Yes, they are proportional

Step-by-step explanation:

First, simplify each fraction

30/80 can be simplified by dividing each number by 10

30/80

= 3/8

24/64 can be simplified by dividing each number by 8

24/64

= 3/8

So, each fraction will simplify to 3/8, meaning that they are proportional.

5 0
3 years ago
What is the area of this triangle? PLEASE HELP!!!!
SashulF [63]

9514 1404 393

Answer:

  10 square units

Step-by-step explanation:

The triangle appears to have a base length (JL) of 4 units, and a height (JL to K) of 5 units. The area formula can be used:

  A = (1/2)bh

  A = (1/2)(4)(5) = 10

The area of the triangle is 10 square units.

3 0
2 years ago
​78% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask
nikdorinn [45]

Answer:

mean= 4.68

variance= 1.0296

Step-by-step explanation:

mean= n×p

n=6

p=0.78

mean= 6×(0.78)

           = 4.68

variance= n×p×(1-p)

             = 6 × 0.78×(1-0.78)

              = 1.0296

5 0
3 years ago
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Ira Lisetskai [31]

Answer:

I think the surface area is 276 if I'm not mistaken hope this helps!

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2 years ago
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