Answer:
5/53
Step-by-step explanation:
Answer:

Step-by-step explanation:
Slope-intercept form equation is given as 
Where,
y = distance remaining
x = hours driven
m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.
b = y-intercept, which is the initial value or the distance between the cities = 420
Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:

-28-(-24)=-4
14-18=-4
28-32=-4
Any of these should work and there are plenty more that would work as well
<u>We are given: </u>
AB = 7x + 10
BD = 9x - 2
∠DBC = 9y - 9
∠ABC = 90°
AB = BD
<u>Solving for x: </u>
We are given that AB = BD
7x + 10 = 9x - 2 [since AB = 7x+10 and BD = 9x-2]
10 = 2x - 2 [subtracting 7x from both sides]
2x = 12 [adding 2 on both sides]
x = 6 [dividing both sides by 2]
Hence, x = 6
<u>Solving for y:</u><u>_______________________________________________ </u>
We know that AD is a straight line,
So, ∠ABC and ∠DBC must form a linear pair
∠ABC + ∠DBC = 180°
90 + 9y-9 = 180
9y - 9 = 90 [subtracting 90 from both sides]
9y = 99 [adding 9 on both sides]
y = 11 [dividing both sides by 9]
Hence, y = 11
Answer:
b. Square root of the variance
Step-by-step explanation:
The standard deviation measure how scattered the data of the set is, in other words, measure the dispersion. A low value is found when the points are close to the mean, and when the value is high the data uses a wider range of values. To calculate its value, the simple way, you need the variance because the standard deviation is the square root of the variance.