Answer:
f(n) = 20 + 24n
Step-by-step explanation:
In slope-intercept form, y = mx + b, where m is the slope and b is the y intercept, you need to input the values you are given. f(n) is your "y" here.
The tricky part here is finding "b". Well, at the start, the bamboo shoot is 20 inches tall, so if you think about it, the equation should start with 20, which will be your "b".
Finally, you must show how the bamboo shoot will grow taller by 24 inches each day. Days in this case will be "n", which is like "x" in the general slope-intercept equation, and 24 is your slope ("m"). This will be positive because the height is <em>increasing.</em>
y = 24x + 20 ⇒ f(n) = 20 + 24n
Step-by-step explanation:
<h3>(1)</h3>
The probability of landing on the color gray ONCE
= 2/7
Since it is spun 35 times, the expected number of times that it lands on a gray will be
(2/7 × 35) = 10 times
<h3>(2)</h3>
The probability of landing on the color black ONCE
= 1/7
Since it is spun 105 times, the expected number of times that it lands on a black will be
(⅐ × 105) = 15 times
The formula is:
Expected value = (Number of spinning)×(probability of landing on a colour)