Before the new kids the ratio of girls to boys is 15:12 because there are 15 girls and 12 boys now you can simplify by dividing 15 by 3 and 12 by 3 to get 5:4 as your simplified ratio. As far as after the new kids. Since there is 1 new girl you do 15+1 to get 16 and there are 3 new boys so you do 12+3 to get 15 now 16:15 is already in simplest form so your answer is:
Before: 15:12 simplified as 5:4
After 16:15
Answer:
a is proportional to b
a=kb
k is proportionality constant
k =a/b =3/12 =1/4
k=1/4 = a/b=a/18
1/4=a/18
a=18/4 =9/2 =4.5 answer
Answer:
See explaination
Step-by-step explanation:
Probability is the number of desired outcomes over the total outcomes.
1) You want to find Oranges, so that is your desired outcome:
There are 4 oranges in the bowl.
Now sum up all the fruits to get the total:
9+4+7+3+6 = 29
Therefore you have 4/29
2) Same idea, count the peaches and put it over total:
3/29
3) This time, you still want to use the same idea, but its just your desired outcomes that have increased. So instead of just having one fruit, now you want to add the total of 2 fruits as your desired outcome.
(9+4)/29
= 13/29
4) To find the probability of a fruit other than a plum, you can use complementary counting. Since the maximum probability is one, we can find what we dont want, and the outcome of that subtracted from one must be the results that we want.
So a plum is 6/29
1-6/29 = 23/29
5) Same idea as what is used in problems 3 and 4, just a combination of the 2.
(4+3)/29
1-7/29
= 22/29
Answer:
Step-by-step explanation:
Given
Solving (a): Point estimate of difference of mean
This is calculated as: 
Solving (b): 90% confidence interval
We have:
Confidence level is: 
Calculate 
The z score is:
The endpoints of the confidence level is:
Split
Hence, the 90% confidence interval is:
Solving (c): 95% confidence interval
We have:
Confidence level is:
Calculate
The z score is:
The endpoints of the confidence level is:
Split
Hence, the 95% confidence interval is:
