Answer:
The total number of ways are 30.
Step-by-step explanation:
Consider the provided information.
We need to write 3-letter "words" from the letters of "Adelphi" so that the first and last letters are vowels.
The number of letters in "Adelphi" = 7
The number of vowels are = 3
It is given that the first and last letters are vowels.
For first letter we have 3 choices, and for the last letter we have 2 choices as repetition is not allowed.
If we have selected first and last letter that means now we have 5 letters for the middle letter. (7-2=5)
So the number of possible choices for the 2nd letter is 5.
Hence, the total number of ways are: 3×5×2 = 30 ways
As you said it was dropped so in that case I'll take 78.4 meters as the height..
we know that
h = ut + 0.5*g*t(sqr)
t(sqr) = 78.4/(0.5*9.8) [g = 9.8 ms-2]
t = √16
t = 4
So it'd take 4 seconds
Answer:
48 miles per hour
Step-by-step explanation:
José left Westcliffe on his bicycle riding at an average rate of 8 miles per hour five hours before his father left by automobile. The father overtook José in exactly one hour. This means Jose was riding
5 hours + 1 hour = 6 hours.
Use formula

where
D = distance
r = rate
t = time
In Jose's case,
D = unknown
r = 8 miles per hour
t = 6 hours
Hence,

In Jose's father case,
D = 48 miles
r = unknown
t = 1 hour (father overtook José in exactly one hour)
Hence,

Complete Question
A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?
Answer:
The 95% confidence interval is 
No, the confidence interval includes 0.25, so the true percentage could easily equal 25%
Step-by-step explanation:
From the question we are told that
The total sample size is 
The number of offspring that is yellow peas is 
The number of offspring that is green peas is
The sample proportion for offspring that are yellow peas is mathematically evaluated as

Given the the confidence level is 95% then the level of significance is mathematically represented as


The critical value of
from the normal distribution table is

Generally the margin of error is mathematically evaluated as

=> 
=> 
The 95% confidence interval is mathematically represented as

=> 
=> 
Answer:
B
Step-by-step explanation:
The line going with the graph for 1 day meets in-between 1, and 2 dollars, so it is 1.50