Answer:
0.249 is the required proportion.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 822
Number of people who preferred foreign cars over domestic, x = 205
We have to find the proportion of new car buyers who prefer foreign cars.
Formula:
Putting values, we get,
Thus, 0.249 is the proportion of the new car buyers who preferred foreign over domestic cars..
From the equation, it looks like we can set up a triangle like this. One side is x and the other is x + 20 because the northbound car traveled 20 miles farther. The hypotenuse is 100 because they were 100 miles apart.
Next, we can use the Pythagorean Theorem to solve for x:
a² + b² = c²
x² + (x + 20)² = 100²
This simplifies to:
x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0
After that, we can divided each side by 2:
x² + 20x - 4800 = 0
Next, we have to factor:
(x - 60)(x + 80) = 0
x = 60, -80
Since we know that distance can't be negative, 60 is the valid answer in this case.
x = 60
x + 20 = 80
Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.
Answer:
38
Step-by-step explanation: 19/3÷1/6
=19/3 x 3/1
= 114/3
=38
Answer:
3
Step-by-step explanation:
the answer is three friends can eat cake
Answer:
y=2/5x+8/5
Step-by-step explanation:
so say you plot a graph of rain against the hours the gradient would be the rate of change and the information given as your points and the gradient
now to get an equation of a straight line use one of your points eg(1,2) and the gradient or rate of change mine was 0.4
