$11.75 + $4.75 = $16.50
Frankie spent $16.50 for movie ticket, popcorn and drink
Answer is $16.50
Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:
P(X) = ![\left[\begin{array}{ccc}n\\X\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dn%5C%5CX%5Cend%7Barray%7D%5Cright%5D)
.
P(20) = ![\left[\begin{array}{ccc}53\\20\end{array}\right] .(0.3)^{20}.(1-0.3)^{33}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D53%5C%5C20%5Cend%7Barray%7D%5Cright%5D%20.%280.3%29%5E%7B20%7D.%281-0.3%29%5E%7B33%7D)
P(20) = 
P(20) = 0.0552
To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:
n . p = 53*0.3 = 15.9
n.(1-p) = 53(1-0.3) = 37.1
Since both ARE greater than 5, normal distribution can be used.
To approximate:
mean = n . p = 15.9
standard deviation = 
= 3.34
Find the z-score:
z = 
= 
z-score = 0.8907
Comparing values:
0.8907 - 0.0552 = 0.8355
Answer:
<h2> 3600 barrels</h2>
Step-by-step explanation:
Step one
Given data
We are told that the rate of leakage is
60 barrels per minute
time = 1 hours= 60 minute
Required
The quantity of the oil that leaked after time = 1 hour= 60 minutes
Step two:
From
Rate=Quantity/time
Quantity= rate*time
Quantity= 60*60
Quantity= 3600 barrels
The answer to the question is 3. $29.40
For this case we have the following conversions:
1 yard = 3 feet
The estimate distance Is:
400yd = 1200feet
200yd=600 feet
Ten, the estimate Is:
1200 + 600 = 1800 feet
The real distance Is:
The total distance in yards is given by:
440 + 220 = 660 yd
Then, let's transform this distance to feet, with the given conversion:
660 * 3 = 1980 feet
The distance traveled is reasonable for a person
Comparing the estimate and the actual answer, the distance malcom Ran Is reasonable.
Answer:
Malcolm ran 1980 feet.
The distance is reasonable.
