Answer:
Step-by-step explanation:
Given
--- days
See attachment for odometer readings
Required
The mean of the distance
Mean is calculated as:
So, we have:
Approximate
Me trying to pass test
2 answers:
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Answer:
66.42°
Step-by-step explanation:
<u>Given:</u>
A(5, 3t+2, 2)
B(1, 3t, 2)
C(1, 4t, 3)
BA • BC = 4
Step 1: Find t.
First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.
In vector BA B is the initial point and A is the terminal point.
BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)
BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)
Now we can find t because we know that BA • BC = 4
BA • BC = 4
To find dot product we calculate the sum of the produts of the corresponding components.
BA • BC = (4)(0) + (2)(t) + (0)(1)
4 = (4)(0) + (2)(t) + (0)(1)
4 = 0 + 2t + 0
4 = 2t
2 = t
t = 2
Now we know that:
BA = (4, 2, 0)
BC = (0, 2, 1)
Step 2: Find the angle ∠ABC.
Dot product: a • b = |a| |b| cos(angle)
BA • BC = 4
|BA| |BC| cos(angle) = 4
To get magnitudes we square each compoment of the vector and sum them together. Then square root.
Rounded to two decimal places:
Answer:
15.25
Step-by-step explanation:
The probability of getting a question right is 1/4 because there are 4 possible answers, and you're just guessing randomly.
You can expect to get 1/4 of the questions right.
First we have to find how much Kyle earned taking to consideration only 38h at work
So 38*14$=532$
Now, to find commission bonus we have to 1200-532=668
Finally, we can find what dollar amount of car Kyle must sell.
We know that 668 is 8% of that number. We can use proportion and cross multiplying, so:
8% ----------- 668
100% --------x
$ - its the result.
So 38*14$=532$
Now, to find commission bonus we have to 1200-532=668
Finally, we can find what dollar amount of car Kyle must sell.
We know that 668 is 8% of that number. We can use proportion and cross multiplying, so:
8% ----------- 668
100% --------x