Answer:

Step-by-step explanation:
We can use basic probability to find the probability that this roll is not a factor of 35.
First off, we know that with a six sided die there are 6 possible things we can roll.
1, 2, 3, 4, 5, or 6
Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.
- We know
, so two factors are 1 and 35. - We know
, so two factors are 5 and 7.
Therefore, the factors of 35 are 1, 5, 7, 35.
Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be
since there are two factors and 6 possible options.
This means, logically, there is a
chance of not rolling a factor of 35.
Hope this helped!
Answer:
0
Step-by-step explanation:
If he has already biked 5634 miles, he’s past 200 miles.
Answer:
24.7 feet
Step-by-step explanation:
This is a Pythagorean theorem question
The ladder is the hypotenuse or c
the distance from the wall is a leg or a
and the wall is the other leg or b
a² + b² = c²
a² + 17² = 30²
a² + 289 = 900
-289 -289
b² = 611
√ √
b = √611
b = 24.7 feet
(1) The train travels 4 miles per gallon.
(2) The slope of the graph is 
Explanation:
(1) The miles that train travels per gallon is given by

Dividing, we have,

Thus, the train travels 4 miles per gallon.
(2) To determine the slope, let us consider two points from the graph.
The coordinates are
and 
Thus, substituting the coordinates in the slope formula, we get,

Simplifying, we have,

Thus, the slope of the graph is 