To calculate the velocity, we use the given expression above which is <span>s(t) = −16t^2 + 144. First, we calculate the time it takes to reach the ground. Then, differentiate the expression and substitute time to the differentiated expression.
</span>s(t) = −16t^2 + 144
0 = -16t^2 + 144
t = 3
s'(t) = v = -32t
v = -32(3)
v = -96
Note: negative sign signifies that the object is going down
Answer:
1,757,600,000
Step-by-step explanation:
company consists of 3 letters followed by 5 numbers how many different account numbers are possible if repetitions of letters and digits are allowed.
We have 26 lettrs and 10 digits
So, the possible out comes for each one of the letters = 26
And the possible out comes for each one of the numbers = 10
∵ repetitions of letters and digits are allowed.
So, the possible accounts are = 26³ * 10⁵ = <u>1,757,600,000</u>
Step-by-step explanation:
Case 1 :


Case 2 :


Answer:
45 feet
Step-by-step explanation:
To find the width of the model, we need to find the scale of the model to the actual tower.
Since we know the height of both towers, we can use that as the basis.
24 inches : 60 feet
12 inches : 30 feet
6 inches : 15 feet
So the width of the tower is 18 inches wide.
18 inches will then be equal to 12 + 7 inches : 30 + 15 feet
18 inches : 45 feet
Answer:
Probability that deliberation will last between 12 and 15 hours is 0.1725.
Step-by-step explanation:
We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.
<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= mean time = 12.56 hours
= standard deviation = 6.7 hours
So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X
12)
P(X < 15) = P(
<
) = P(Z < 0.36) = 0.64058
P(X
12) = P(
) = P(Z
-0.08) = 1 - P(Z < 0.08)
= 1 - 0.53188 = 0.46812
<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>
Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.