Answer:
22.5 miles
Step-by-step explanation:
No traffic :
Let speed = x
Time taken = 30 = 30/60 = 0.5 hour
Speed = distance / time
Distance = d
x = d / 0.5 - - - (1)
With traffic :
Speed = x - 30
Time taken = 1 hour 30 minutes = 1.5 hour
x - 30 = d / 1.5
x = d/1.5 + 30 - - - - (2)
Equating (1) and (2)
d / 0.5 = d/1.5 + 30
d /0.5 - d /1.5 = 30
(1.5d - 0.5d) / 0.75 = 30
1.5d - 0.5d = 22.5
1d = 22.5
Hence,
d = 22.5 miles
As I have seen this question before:
Coordinates of historic village: (-4 1/2 , 5 1/2)
Coordinates of science center: (-4 1/2 , -1 3/4)
To find the midpoint, we use:
((x₂ + x₁)/2) , (y₂ + y₁)/2)
= ( (-4 1/2 + -4 1/2)/2 , (-1 3/4 + 5 1/2) / 2)
= ( -4 1/2 , 1 7/8)
Answer:
Yes, the relationship between x and y is a non-linear function.
Step-by-step explanation:
Given the table
Edge Length, x Surface Area, y
1 6
2 24
3 54
4 96
- The table values clearly represent a function, because each input value has one and only one output value. i.e. there is no repetition of x values.
- Also from the table values and the graph, it is clear that the function is not a linear function, because the graph is not a straight line. Also, In a cubic function, the highest power over the x variable(s) is 3. So, it is not a linear function.
Hence, we conclude that Yes, the relationship between x and y is a non-linear function.
Therefore, the 'last option' is correct.
Answer:
the probability is 0.1143
Step-by-step explanation:
here are the details from the question you asked
number of people = 6
nuber of weapons = 6
number of rooms = 9
after narrowing it down to
3 people,3 weapons, and 6 rooms
= ⁶C₃ * ⁶C₃ *⁹C₆ / ²¹C₁₂
= 20 * 20 * 84 / 293930
= 33600/293930
= 0.1143
<u>The probability of making a random guess of the person who is guilty, weapon and location from this choices that have been narrowed down and the guess being correct is 0.1143</u>
$216 x 0.08 = $17.28.
Therefore $17.28 was collected for sales tax.
