Answer:
z = 36 rolls , probability for getting 7 = 1/6
Step-by-step explanation:
A die has 6 possible outcomes, which sums to 36 for two dice for every value on both dice.
The outcomes for rolling both dice for 36 times gives 6 possible outcomes summing to 7, that is, (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
There the probability of getting a sum dice of 7 is:
= 6 / 36 = 1/6
Answer:

Step-by-step explanation:
<h2>Equation of the line in slope intercept form:</h2>

Here m is the slope or gradient and b is the y-intercept.
Write the given equation in slope-intercept form.
2x + 3y = 6
3y = -2x + 6


9514 1404 393
Answer:
C. 6
Step-by-step explanation:
XY/AB = 30/5 = 6
Triangle ABC is scaled by a factor of 6 to make triangle XYZ.
Answer:
2 hours, 150 miles
Step-by-step explanation:
The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.
<h3>Separation distance</h3>
Jason got a head start of 20 miles, so that is the initial separation between the two drivers.
<h3>Closure speed</h3>
Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.
<h3>Closure time</h3>
The relevant relation is ...
time = distance/speed
Then the time it takes to reduce the separation distance to zero is ...
closure time = separation distance / closure speed = 20 mi / (10 mi/h)
closure time = 2 h
Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.
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<em>Additional comment</em>
The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.
Answer:
the equation is y = ax + b (a ≠ 0)
see in the graph, the line passed through (0;3) and (1;5)
=>b = 3
a + b = 5
<=> a = 2
b = 3
=> the equation is y = 2x + 3
Step-by-step explanation: