To answer this question, we need to find the winning probability in either case.
Probability = no. of outcomes / total no. of possible outcomes
<u>When Hope pulled her defender :</u>
Total no. of games = 9
No. of games won = 3
Winning probability = 3/9 =1/3
<u>When Hope left her defender :</u>
Total no. of games = 10
No. of games won = 6
Winning probability = 6/10 = 3/5
We know that , 1/3 < 3/5.
So, Hope should not pull her defender, as the winning probability is better when Hope left her defender.
Answer : A. Hope should not pull her defender.
The volume of a sphere can be calculated as

Where r is the radius of the sphere
We want to calculate half of the volume, then we must divide that volume by 2

Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then

Let's put it into our equation

The problem says to use

Then

Final answer:
The formula that can be used to calculate the volume of water inside the fish bowl is
Answer:
s/3
Step-by-step explanation:
The quotient means you divide the two values.
Answer:
a1 = 34, d = 6.
Step-by-step explanation:
a1 = the first term = 34.
To find d subtract: 2nd term - first term , third term - second term and so on.
d = 40 - 34 = 6.
Also 46-40 = 6
WE get the same value 6 for the other given terms.
6 is added to each term to get the next term
Answer:
The standard deviation for the number of defective parts in the sample is 1.88.
Step-by-step explanation:
The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
68 defective out of 400:
This means that 
From the shipment you take a random sample of 25.
This means that 
Standard deviation for the number of defective parts in the sample:

The standard deviation for the number of defective parts in the sample is 1.88.