Answer:
.
Step-by-step explanation:
Since repetition isn't allowed, there would be
choices for the first donut,
choices for the second donut, and
choices for the third donut. If the order in which donuts are placed in the bag matters, there would be
unique ways to choose a bag of these donuts.
In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type
times.
For example, if a bag includes donut of type
,
, and
, the count
would include the following
arrangements:
Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count
by
to find the actual number of donut combinations:
.
Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of
objects from a set of
distinct objects:
.
Answer:
6 weeks
Step-by-step explanation:
18x 6 = 108
116+108=223
Answer:
D) c - 2 = 25 + c + 10√c
Step-by-step explanation:
The given equation is 

Taking square on both sides, we get
Here we used ( a+ b)^2 = a^2 + b^2 + 2ab formula.
c - 2 = 5^2 + (√c)^2 + 2(5)√c
c - 2 = 25 + c +10√c
Answer: D) c - 2 = 25 + c + 10√c
Thank you.
Answer:
(4) Bonnie’s bag is within the middle 95% of the simulated data supporting the company’s claim.
Step-by-step explanation:
We are being told that:
The J & B candy company claims that 45% of the candies it produces are blue, 30% are brown, and 25% are yellow.Each bag holds 65 candies.
From the simulation that was run 200 times
Given that:
The mean is 29.270 and the standard deviation is 3.936. from the diagram attached.
The mean - 2 SD = 29.270 - 2(3.936)
= 29.270 - 7.872
= 21.398,
This is less than 24, Hence, Bonnie’s bag is within the middle 95% of the simulated data supporting the company’s claim.