Answer:
(0, -7)
Step-by-step explanation:
The y-intercept is the point on the line where x = 0 (AKA where the line crosses the y-axis).
Here, the y-intercept is literally given within the question as (0, -7).
Answer:
c. 0.1151
Step-by-step explanation:
d) the probability that, on average, fish are larger than 86 centimeters in length.The area under part of a normal probability curve is directly proportional to probability and the value is calculated as
z = (x₁−x) /σ
where z = propability of normal curve
x₁ = variate mean = 86cm
x = mean of 80cm
σ = standard deviation = 5cm
applying the formula,
z= (86-80)/5
z = 6/5 =1.2
Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 1.2 corresponds to an area of 0.3849 between the mean value. but, because the standard curve has 0.5, then will minus 0.3849 from 0.5= 0.5 - 0.3849 = 0.1151
Thus the probability of a fish are larger than 86 centimeters in length is 0.1151
208 % 16 = 13
13 - 4 = meters not painted in a part = 9
9 × 16 (parts) = 144 meters of road not painted
Answer:
Step-by-step explanation:
<u>Slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept
Line p: y= -8x +6
slope= -8
The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.
m(-8)= -1
m= -1 ÷(-8)
m= ⅛
Substitute m= ⅛ into the equation:
y= ⅛x +c
To find the value of c, substitute a pair of coordinates that the line passes through into the equation.
When x= 2, y= -2,
-2= ⅛(2) +c
Thus, the equation of line q is 
.
Answer:
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
5y - 8 = 3y + 1 Add 8 to both sides
5y = 3y + 1 + 8 Subtract 3y from both sides
5y - 3y = 9 Combine
2y = 9 Divide by 2
2y/2 =9/2
y = 4. 5
5y - 8 =
5(4.5) - 8 =
22.5 - 8 =
14.5
That represents 1/2 of MO
MO = 2 * 14.5
MO = 29
