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3 years ago

How does f(x)=9^x change over the interval from x=8 to x=10

Mathematics

1 answer:

Vsevolod [243]3 years ago

7 0

Answer:

Step-by-step explanation:

9^8 to 9^10 involves a change (multiplication) of 9^8 by 9^2 (which is 81).

Over the given interval, f(x) increases by 81.

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UkoKoshka [18]

Answer:

Step-by-step explanation:

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2 years ago

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Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul

IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: $P(k) = \frac{\lambda^ke^{-k}}{k!}$ where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and $\lambda = 7$ into the formula:

$P(k=7) = \frac{7^7e^{-7}}{7!}$

$P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%$

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

$P(k\leq2) = P(k=0)+P(k=1)+P(k=2)$

$P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}$

$P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}$

$P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%$

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

$P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%$

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2 years ago

Which function is the inverse of f(x) = –5x – 4?

ra1l [238]

Just took the test. A is the right answer.

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3 years ago

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Find the midpoint of the line segment joining the points (7,1) and (-1,-1)

chubhunter [2.5K]

= x1 + x2/2 , y1 + y2/2
= 7+-1/2 , 1+(-1)/2
Midpoint = (3,0)

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2 years ago

An airplane left Atlanta with 20 empty seats. If the airplane was 75% full, what was the total number of seats on the airplane?

jek_recluse [69]

Answer is <span>C. 80

hope that helps

75% are full with 20 seats empty so </span>20 seats empty = 25%

75% * 20 / 25% = 60

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3 years ago