Answer:
1436.75504 or 1372/3π cm^3
Step-by-step explanation:
The volume of a sphere can be found using:
V = 4/3 πr^3
We know the radius is 7, so we can substitute 7 in for r
V = 4/3 π7^3
Evaluate the exponent
V = 4/3 π 343
If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343.
v= (4/3*343)π
v=1372/3π
If we want an exact answer, multiply 1372/3 and pi
v=1436.75504
So, the volume is 1436.75504 or 1372/3 π cm^3
Answer:
0.173 probability that she gets exactly three questions correct.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Seven questions:
This means that 
Each question has four choices.
Abby guesses, which means that 
Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.
This is P(X = 3).
Answer: pr (blue) = 1/3 or 0.33
Pr(green without replacement) = 1/2 = 0.5
Step-by-step explanation:
Probability = number of possible outcomes/ number of total outcomes
Total number of outcomes is the sum of all the marbles, given as 9
Pr ( first marble blue) = no of blue marbles/ total number of marbles
= 3/9 = 1/3 or 0.333
Second marble is chosen without replacement- this means that the total outcome has reduced by 1, total number of marbles has reduced to 8 because there was no replacement.
Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble
= 4/8 = 1/2 = 0.5
I hope this helps.
I=PRT
I=Interest
P=principal
R=rate in decimal
T=time in years
1year=12months
72months/12months=6 years
t=6
given
I=8925
P=35000
R=r
T=6
8925=35000*r*6
8925=210000*r
divide both sides by 210000
0.0425=r
the interest rate is 4.25%
There’s are ratio which would be 8/10. 12/x should equally 8/10. So it would be 14 tiles long.
