Answer:
The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.
Step-by-step explanation:
The distribution that represents the ocurrence of this events is the Poisson distribution.
The probability of having k events in a ten-minute-period can be expressed as:

being λ the mean number of occurrences in ten minutes.
The probablility that there are 8 occurrences in ten minutes can be calculated as:

The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.
The length and width of the similar rectangular screen are 110 meters and 35 meters respectively.
<u>SOLUTION:
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Given, A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China.
We have to find the length and width of a similar rectangular screen
We are also given that the length is 5 meters more than 3 times its width,
Let width of rectangle be "b" meters, the its length will be 5 + 3b meters
And, the viewable area is 3,850 square meters.

Now,let us use quadratic formula:


Neglect negative values as width can’t be negative

so, width = 35 meters, then length = 5 + 3(35) = 5 + 105 = 110 meters
hence, the length and width of the similar rectangular screen are 110 meters and 35 meters respectively.
There are 16 tulips because the square root of 16 is 4, which means there will be 4 daffodils and 16+4=20. So the answer is 16 tulips.
Answer:
The pin number is 1147
Step-by-step explanation:
We have given that:
Maritza remembers her PIN because it is the product of two consecutive prime numbers that is between 1000 and 1500.
Pin number is between 1000 and 1500
PIN is the product of two consecutive prime numbers.
Prime numbers are those numbers which are divisible by one or itself only.
So,
prime numbers are 1, 3, 5, 7,………29, 31,37, 41, …..
Multiply 29 x 31 = 899 which does not come in the range of 1000 and 1500.
Next,
31 x 37 = 1147 this is between 1000 and 1500
Next
37 x 41 = 1517, which is above 1500.
Thus the pin number is 1147....
18 divided by 30 is 0.6. So I would say that B, or 0.6, is the correct answer.