Carmen has a deck of cards numbered 1-10. She picks one card and flips a coin. How many outcomes are possible.

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an

Inessa [12570]

Answer:

$y=32000(1+0.08)^x$

Step-by-step explanation:

The exponential growth formula is $y=a(1+r)^x$

Where 'a' signifies the initial population

r is the growth rate and x represents time in years

maintaining a constant population of 32,000. Thus, the initial population is 32,000

with an annual increase of 8%. The growth rate is 8%, equivalent to 0.08

a = 32000 and r = 0.08

Now, substituting all the values into the general formula

$y=a(1+r)^x$

$y=32000(1+0.08)^x$

$y=32000(1+0.08)^x$

4 0

3 months ago

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In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1,014 adults aged 18 and

babunello [11817]

Answer:

(b)E(x)=1.3087

(c)Variance of x =1.7119

(d)E(y)=2.0447

Step-by-step explanation:

The random variable x refers to the average number of cups of coffee consumed daily.

The total number of respondents equals 1014

(a) Probability distribution for x.

$\left|\begin{array}{c|cccccc}x&0&1&2&3&4\\\\P(x)&\dfrac{365}{1014}&\dfrac{264}{1014}&\dfrac{193}{1014}&\dfrac{91}{1014}&\dfrac{101}{1014} \end{array}\right|$

(b) Expected value for x

$E(x)=\left(0\times\dfrac{365}{1014}\left)+\left(1\times\dfrac{264}{1014}\left)+\left(2\times\dfrac{193}{1014}\left)+\left(3\times\dfrac{91}{1014}\left)+\left(4\times\dfrac{101}{1014}\right)$

E(x)=1.3087

(c) Variance for x

Variance $=\sum (x-\mu)^2P(x)$

$\left|\begin{array}{c|cccccc}x&0&1&2&3&4\\(x-\mu)^2&1.7167&0.0953&0.4779&2.8605&7.2431\\\\P(x)&\dfrac{365}{1014}&\dfrac{264}{1014}&\dfrac{193}{1014}&\dfrac{91}{1014}&\dfrac{101}{1014} \\\\(x-\mu)^2P(x)&0.6179&0.0248&0.0910&0.2567&0.7215\end{array}\right|$

$Variance, \sum (x-\mu)^2P(x)=1.7119$

(d)

$\left|\begin{array}{c|cccccc}y&1&2&3&4\\\\P(y)&\dfrac{264}{649}&\dfrac{193}{649}&\dfrac{91}{649}&\dfrac{101}{649} \end{array}\right|$

$E(y)=\left(1\times\dfrac{264}{649}\left)+\left(2\times\dfrac{193}{649}\left)+\left(3\times\dfrac{91}{649}\left)+\left(4\times\dfrac{101}{649}\right)$

E(y)=2.0447

The expected value for y surpasses that of x.

6 0

2 months ago

Georgia needs to buy flea treatment for her dog. Pet Store 1 is offering the flea treatment for 40 percent off plus an additiona

lawyer [12517]

For Offer 1:
33−33×0.4
=19.8
Now, applying an additional discount of 25%:
19.8−19.8×0.25
=14.85. Offer 2 provides a better deal:
34−34×0.55
=15.3, followed by a 5% discount:
15.3−15.3×0.05
=14.535. In total, the difference in price between the two offers is:
14.85−14.535
=0.315.

6 0

2 months ago

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Based on the above table, what is the fastest growing listed occupation for those without a college degree? a. Gaming and sports

Svet_ta [12734]

We will require the table mentioned above to respond to this inquiry.

8 0

2 months ago

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$4.25 for 64 fluid ounces .<br><br> What is the unit rate

tester [12383]

Answer: $0.07 per unit