Answer:
time = 1secs
<em>Max height = 25metres</em>
Step-by-step explanation:
Let the equation that models the height of the ball be expressed as;
h(t) = −16t^2 + 32t + 9
t is the time in seconds
The velocity of the ball at its maximum height is zero i.e dh/dt = 0
dh/dt = -32t + 32
0 = -32t + 32
32t = 32
t = 32/32
t = 1 seconds
The ball will reach its maximum height after 1 seconds.
Get the maximum height reached. Substitute t = 1 into the modeled function;
h(t) = −16t^2 + 32t + 9
h(1) = −16(1)^2 + 32(1) + 9
h(1) = −16 + 32 + 9
h(1)= 16+9
<em>h(1) = 25</em>
<em>Hence the maximum height reached is 25metres</em>
Answer:
Least Likely: Arrow lands on a section labeled with an odd number.
_____: Arrow lands on a section labeled with the number 1.
Most Likely: Arrow lands on a section labeled with a number less than 4.
Step-by-step explanation:
<u>The spinner:</u>
There are 8 sections, 4 labeled with the number 1, 2 labeled with the number 3, 1 labeled with the number 3, and 1 labeled with the number 4.
<u>Probabilities of the spinner:</u>
- Probability of landing on 1: 4/8 - 50%
- Probability of landing on 2: 1/8 - 12.5%
- Probability of landing on 3: 2/8 - 25%
- Probability of landing on 4: 1/8 - 12.5%
<u>The options:</u>
A - Arrow lands on a section labeled with an odd number.
B - Arrow lands on a section labeled with the number 1.
C - Arrow lands on a section labeled with a number less than 4.
- The least likely possibility out of the options would be B because, while a 50% chance sounds like a lot, it is the least of the three options.
- The mid possibility out of the options would be A. The odd numbers labeled on the spinner make up 75% of the whole. (1s and 3s - 50% + 25%)
- The most likely possibility out of the options is C because it accounts for every section except for the single section labeled with the number 4. (100% - 12.5%, 87.5%)
