Answer:
B. Generate 5 random integers from 1 to 10 and see how many times the numbers 1 to 8 are generated.
Step-by-step explanation:
William wants to simulate 5 shots with an 80% chance each shot. Let's see what is each option simulate
A.
This option is wrong. Since you generate 8 different possibilities(1-8), the chance for each is 1/8= 12.5%. The chance for either 3 and 5 is 25% and it's far from 80%
B.
This option is true. You generate 5 numbers which represent the 5 shots. Since you generate 10 different possibilities(1-10), the chance for each is 1/10= 10%. The chance for 1 to 8 is 80% .
C.
There is no information about the chance for the dart score, so this option won't simulate the situation accurately.
D.
This option is wrong. You generate 3 numbers which represent the 3 shots instead of 5.
Answer:
The function has at least 1 zero within the interval [-2,5].
Step-by-step explanation:
The intermediate value theorem states that, for a function continuous in a certain interval ![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D)
, then the function takes any value between 
and 
at some point within that interval.
This theorem has an important consequence:
If a function 
is continuous in an interval [a,b], and the sign of the function changes at the extreme points of the interval:
(or viceversa)
Then the function f(x) has at least one zero within the interval [a,b].
We can apply the theorem to this case. In fact, here we have a function f(x) continuous within the interval
[-2,5]
And we also know that the function changes sign at the extreme points of the interval:
Therefore, the function has at least 1 zero within the interval [-2,5], so there is at least one point x' within this interval such that
Answer:
1) sarah has $100 in her bank account after 5 weeks ans Emily has $95, so Sarah has more.
2)After 6 weeks they will both have $110
Step-by-step explanation:
3 ft = 12 * 3 = 36 inches wide
36 / (3/4) =
36 * 4/3 =
144/3 =
48 books can fit
