Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
<h3>What is the discrete probability distribution?</h3>
Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:
Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:
P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.
0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
More can be learned about a discrete probability distribution at brainly.com/question/24855677
<h2><u>
k = 35</u></h2>
Let's solve your equation step-by-step.
14=k(0.4)
Step 1: Simplify both sides of the equation.
14=0.4k
Step 2: Flip the equation.
0.4k=14
Step 3: Divide both sides by 0.4.
= 
<h3><u>
k=35</u></h3>
1,4
it’s y1-y2
———-
x1-x2
Answer: OPTION C.
Step-by-step explanation:
1. To solve this problem you must apply the Pythagorean Theorem, which is shown below:
Where a is the hypotenuse, and b and c are the legs of the triangle.
2. When you solve for one of the legs and substitute values, you obtain that the result is:
Answer:
Original garden: 42 feet
Enlarged garden: 98 feet
Step-by-step explanation:
Perimeter = length (2) + width (2)
<u>Original perimeter:</u>
P = 15(2) + 6(2)
P = 30 + 12
P = 42 feet
In this problem, similar is proportional, so the new garden will be proportional to the old one.
If the original length was 15 and the new length is 35, then 15 would have had to have been multiplied by 2 1/3. That means you need to multiply 6 by 2 1/3, which is 14. That means the dimensions of the enlarged yard is 14 (width) × 35 (length).
<u>Enlarged perimeter</u>
P = 35(2) + 14(2)
P = 70 + 28
P = 98 feet
