Answer: She ran 3 miles
Explanation:
1/2 miles walked) • X = (2 Miles walked)
X= 4
4 • 3/4 miles ran = 12/4 miles ran = 3 miles ran.
Answer:
17.4 ft²
Step-by-step explanation:
The formula to find the area of a triangle:
1/2 x b x h, where b is the base and h is the height.
1) Substitute the given values into the formula and solve it.
= 1/2 x 6 x 5.8
= 1/2 x 34.8
= 17.4
Answer:
Option E) 61.6
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100 bushels per acre
Standard Deviation, σ = 30 bushels per acre
We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.
Formula:

P(X>x) = 0.90
We have to find the value of x such that the probability is 0.90
P(X > x)
Calculation the value from standard normal table, we have,

Hence, the yield of 61.6 bushels per acre or more would save the seed.
Answer:
x=-4 and x=4
Step-by-step explanation:
|x|= 4
the lines surrounding x means the x is positive and negative.
so
-x=4 and x=4
x=-4 and x=4
AB and BC form a right angle at their point of intersection. This means AB is perpendicular to BC.
We are given the coordinates of points A and B, using which we can find the equation of the line for AB.
Slope of AB will be:

Using this slope and the point (2,1) we can write the equation for AB as:

The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.
Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:
y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11
Point C lies on the line y = 6x - 11. So if the y-coordinate of C is 13, we can write:
13 = 6x - 11
24 = 6x
x = 4
The x-coordinate of point C will be 4.
Therefore, the answers in correct order are:
4/3 , 6, -11, 4