Please help! Correct answer only, please! Find the following product if possible. Explain if it is not possible. A. B. C. D.
1 answer:
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Answer:
a) Standard deviation: 3 bluberries
b) We assume, to apply this rule, that the distribution of blueberries per muffin has a bell-curve distribution, approximately normal.
Step-by-step explanation:
We know that the number of blueberries in a blueberry muffin baked by EarthHarvest Bakeries can range from 20 to 40 blueberries.
a) If we use the Empirical Rule 68-95-99.7, specifically the last term, we have that:
- 99.7% of the data will fall between 3 standard deviations from the mean.
Then, if we consider the range of 20 to 40 containing 99.7%, we can calculate the standard deviation as:
Answer:
<em>Both objects collide at t=3 in the point <9,9,9></em>
Step-by-step explanation:
<em>Collision Of Moving Objects </em>
Two objects can describe different trajectories in the space. Those trajectories can intersect in one or more points but it doesn't mean they collide. Collision occurs if they are in the same position at the same time. If we know the positions as a function of time of each object, we could try so find if, for a given time, they are in the same position.
The positions of two object are given as
Let's find out if there is at least one value of t that makes both positions to be the same. We can try by equating one of the three coordinates and testing if the value of t make both have the same x,y,z coordinate. Let's try equating the x-components of both
Rearranging
Factoring
We found two solutions
for t=1 the x-coordinates are
For t=3
Now we'll test both values in the y-coordinates
For t=1
Thus they don't collide at t=1. Let's try t=3
Now let's try the z-coordinate for t=3
Since the three coordinates match, we can say both objects collide at t=3 in the point <9,9,9>