The estimated average speed you found earlier in the lesson was 30 miles per hour. How does your estimated speed compare to the
2 answers:
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The area can be found as the magnitude of the cross product of the vectors representing two adjacent sides.
area = || kl × kn || = || (0, 2, 1) × (4, 5, 0) ||
= || (-5, 4, -8) || = √105
_____
For the purpose here, kl = l - k = (1, 3, 2) - (1, 1, 1) = (0, 2, 1)
and nk = n - k = (5, 6, 1) - (1, 1, 1) = (4, 5, 0)
The cross product can be calculated using a suitable calculator. By hand, it is the determinant
where i, j, k are unit vectors in the x, y, z directions.
area = || kl × kn || = || (0, 2, 1) × (4, 5, 0) ||
= || (-5, 4, -8) || = √105
_____
For the purpose here, kl = l - k = (1, 3, 2) - (1, 1, 1) = (0, 2, 1)
and nk = n - k = (5, 6, 1) - (1, 1, 1) = (4, 5, 0)
The cross product can be calculated using a suitable calculator. By hand, it is the determinant
where i, j, k are unit vectors in the x, y, z directions.
Answer:
Step-by-step explanation:
1. Approach
Probability is a way of predicting a future outcome based on given data. In essence, the formula for finding the probability is, .
It is given that
- (63) paid with cash
- (22) paid with a debit card
- (13) paid with a credit card
First, add all of these numbers up to find the total number of customers. Then set up the probability, finally, simplify the fraction by diving both the numerator and denominator by a common factor.
2. Find the total number of customers
Add up all of the given customers, regardless of their payment type.;
(98) total customers.
3. Find the probability
Now set up the probability, remember, the formula for finding the probability is,
The desired outcome is the number of customers who pay with cash = (63)
The total outcome is the number of customers who when to the business; (98)
Substitute in the numbers and simplify,
Both of these numbers are divisible by (7), hence divide the fraction by (7)