Answer:
The probability of selecting a purple clip after a white clip without replacement is 1/7
Step-by-step explanation:
In this question, we are asked to calculate the probability of taking out a white clip followed by the purple clip without replacement.
First, let’s calculate the total number of clips; that is 4 + 6 + 5 = 15 clips .
Initially the probability of selecting a white clip would be 5/15 = 1/3
Now, removing the white clip and not replacing it means we are left with a total of 14 clips. the probability of selecting a purple clip here would thus be 6/14 = 3/7
Now the probability of selecting a white followed by a purple clip would be 1/3 * 3/7 = 1/7
Answer:
Th proportion of satisfied customers is

Step-by-step explanation:
Although 1,000 surveys were send, we may consider our sample is only made by the 823 surveys returned.
Out of the returned surveys (n=823), 635 people said they were satisfied with the restaurant.
Then, the p-hat (proportion of satisfied people) of this sample is calculated as:

If we consider as the sample size all the surveys sent, and assuming the surveys not returned belong to non-satisfied customers, the proportion of satisfied clients is:

Answer:
5 cups of flour.
Step-by-step explanation:
I know the wording of the problem may be confusing at first, but if you look at it a little bit, it's just multiplication and division.
To start,
12 biscuits require 2 cups of flour,
meaning that 6 biscuits (half of the original) only require 1 cup.
<u>(12/2 = 6)</u>
Next,
We need to find how much flour is in 30 biscuits.
We know that 1 cup is in 6 biscuits, and if you were to find how much was in 30 biscuits, you would just need to divide 30 by 6.
<u>(30/6 = 5)</u>
5 cups of flour would be your answer.
To put it mathematically,
(12/2 = 6), (30/6 = 5)
Answer:
D
Step-by-step explanation:
The average can be found by dividing the number of pieces (or trucks in this case) by the total, so 3204/8=400.5 pounds, or D as our answer
Answer:
8
Step-by-step explanation:
0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;
1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';
2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;
3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);
4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);
5) if t=3/(v-5) and t=13/(v+5), then
