Answer:
36 tiles
Step-by-step explanation:
There will be 6 tiles in each direction, so the tiles covering the floor form a 6×6 array. The number needed is 6×6 = 36.
Use the complex conjugate of (-7 + i) to remove the complex number from the denominator and then simplify.
See attached.
The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%
<h3>
How to find the probability?</h3>
We know that roughly 75% of the students take the bus, then, if we select a student at random.
- There is a probability of 0.75 that the student takes the bus.
- There is a probability of 0.25 that the student does not take the bus.
The probability that at most 8 out of 9 students take the bus, is equal to one minus the probability of the 9 taking the bus, which is:
p = (0.75)^9 = 0.075
Then we have:
P = 1 - 0.075 = 0.925
The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%
If you want to learn more about probability, you can read:
brainly.com/question/251701
Answer:
The standard deviation for the sample mean distribution=0.603
Step-by-step explanation:
We are given that
Mean,
Standard deviation,
n=44
We have to find the standard deviation for the sample mean distribution using Central Limit Theorem for Means.
Standard deviation for the sample mean distribution
Using the formula
Hence, the standard deviation for the sample mean distribution=0.603
For this case we have an equation of the form:
h (t) = - (1/2) * a * t ^ 2 + vo * t + h0
Where,
vo: initial speed
a: acceleration:
h0: initial height.
We have the following equation:
h (t) = - 16t2 + 19t + 110
Therefore, the initial velocity is:
vo = 19 feet / s
Answer:
The initial velocity when the rock is thrown:
vo = 19 feet / s
