By definition, the volume of a quarter of a sphere is given by:
Where,
r: sphere radius
Substituting values we have:
Making the corresponding calculation we have:
Answer:
The volume of the quarter-sphere shaped tank is:
The total tickets sold at the fair = 50 tickets.
Kayla and Bianca each bought one ticket, it could be any numbered. We can start with anyone and find their probability.
If Kayla got ticket numbered #7, its probability would be 1 out of 50.
Then there would be 49 tickets remaining for Bianca at the fair.
If Bianca got ticket numbered #10, it probability would be 1 out of 49.
Total probability of (Kayla getting #7 AND Bianca getting #10) would be 1/(50x49) = 1/(2,450) = 0.0004081 = 0.0408%.
Hence, final answer is
Answer: 10mm
Step-by-step explanation: You are going to use the "Pythagorean Theorem" method.
Step 1 :
Equation : a^2+b^2=c^2
plug in your data to the equation given. Then simplify and add.
6^2+8^2=C^2
simplify : 36 + 64 = C^2
simplify : 100 = C^2
Step 2 :
Find what goes into 100 evenly.
100 = 10^2 = (10)(10) = C^2
Step 3:
Find the square root of 10^2 = C^2
10 = c
Last Step :
The length of the unknown leg in the right triangle is 10mm
YAY!!!! you're finished! I hope I explained this so it was easy for you to understand.
460/8 = 57.5 They were going 57.5 mph
661.25/57.5mph = 11.5
It will take them 11 and a half hours go get wherever they're going.
The probabilities of each number are equal. Then statements A and C are correct.
<h3>What is probability?</h3>
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Given
Pedro has a spinner with 4 sections numbered 1 through 4.
Pedro spins the spinner 100 times and records the results.
He calculates the relative frequency of each outcome.
Outcome 1 2 3 4
Relative Frequency 0.24 0.25 0.26 0.25
A) A uniform probability model is a good model to represent probabilities related to the numbers generated in Pedro's experiment. This statement is correct.
B) The theoretical probability that any one number is chosen is likely 0.20. This is incorrect because every number has an equal probability.
C) It is likely that the spinner is fair. This statement is correct because the probabilities of each number are equal.
D) The relative frequencies in the table are very different. This statement is incorrect. Because numbers 2 and 4 have the same frequency and the number 1 and 3 have slightly different frequencies.
More about the probability link is given below.
brainly.com/question/795909