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Tamiku [17]
3 years ago
9

Find the value for x

Mathematics
1 answer:
IgorC [24]3 years ago
5 0

Answer:

180 - 2x + 180 - 4x + x = 180 \\ 360 - 5x = 180 \\ 180 = 5x \\ x = 36

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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\%

4 0
3 years ago
Mobile users in India have gone up by 20% percent in a year. There are 540 million mobile users today.
DanielleElmas [232]
432 million, 540 times .20 equals 108, subtract 108 from 540 and you get your answer
7 0
3 years ago
PLEAS EHEKP ILL GIVE BRAINLIEST<br> SHOW WORK SO I CAN UNDERSTAND PLEASE
Mandarinka [93]

Answer:

$49.72

Step-by-step explanation:

The tip is 11% of the price of the pizza.

The price of the pizza is $452.

The tip is 11% of $452.

<em>To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, divide the percent by 100 which is the same as moving the decimal point two places to the left.</em>

11% of $452 =

= 0.11 * $452

= $49.72

Answer: $49.72

8 0
3 years ago
What are some characteristics for simplest form  
givi [52]
Ex. 9 divided by 3=3 because 3x3=9
7 0
3 years ago
Suppose f(x) = x2. What is the graph of g(x) = {f(x)?
sukhopar [10]

Answer:

f(x)=x2,g(x)=f(3x)=(3x)2=9x2

Now to graph y=9x2. This is a parabola (U-shape), vertex at (0, 0), symmetric around y  axis. When x=1/3 or -1/3, then y=1.

Hope this helps! :))

4 0
3 years ago
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