Answer:
- She traveled 45 miles in 1 hour
- She traveled 270 miles in 6 hours
- She traveled 360 miles in 8 hours
Step-by-step explanation:
If Mrs. Anglin traveled at a speed of 90 miles in 2 hours, it means that her speed per hour is:
= 90/2
= 45 mph
If she is travelling at 45mph then in 1 hoour she would have traveled 45 miles.
In 6 hours she would have traveled:
= 45 * 6
= 270 miles
In 8 hours she would have traveled:
= 45 * 8
= 360 miles
Answer:

Step-by-step explanation:
1. Approach
Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.
2. Solve for the width
It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.


Substitute,

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

Inverse operations,

3. Solve for the area
Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).


Substitute,


25.8%
First, determine how many standard deviations from the norm that 3 tons are. So:
(3 - 2.43) / 0.88 = 0.57/0.88 = 0.647727273
So 3 tons would be 0.647727273 deviations from the norm. Now using a standard normal table, lookup the value 0.65 (the table I'm using has z-values to only 2 decimal places, so I rounded the z-value I got from 0.647727273 to 0.65). The value I got is 0.24215. Now this value is the probability of getting a value between the mean and the z-score. What I want is the probability of getting that z-score and anything higher. So subtract the value from 0.5, so 0.5 - 0.24215 = 0.25785 = 25.785%
So the probability that more than 3 tons will be dumped in a week is 25.8%
Answer:

Step-by-step explanation:
we know that
If two lines are parallel then their slopes are equal
The equation of the given line is

the slope is 
so
the slope of the parallel line to the given line is also 
Find the equation of the line that is parallel to the given line and passes through the point (6, 5)
we have


The equation of the line in point slope form is

substitute

Convert to slope intercept form

isolate the variable y


