Answer:
Difference = $0.01
Step-by-step explanation:
Given that:
Cost of half gallon = $1.82
Cost of one gallon = $3.68
First we will convert gallons to ounces.
1 gallon = 128 ounces
half gallon = 64 ounces
Now,
we will find unit rate of both.
Unit rate of half gallon = 
Unit rate of one gallon = 
Difference= 0.03 - 0.02 = $0.01
Hence,
Difference = $0.01
118.4 x 10^9 or 118,400,000,000
Answer:
x = -19
Step-by-step explanation:
-10x - 19 = 19 - 8x
-10x + 8x = 19 + 19
-2x = 38
x = -19
Answer:
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- <u><em>Yes, it is reasonable to expect that more than one subject will experience headaches</em></u>
Explanation:
Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."
You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.
- p = 0.732 is the probability of success (an individual experiences headaches).
- n = 5 is the number of trials (number of subjects in the sample).
The meaning of the table of the distribution probability is:
The probability that 0 subjects experience headaches is 0.0014; the probability that 1 subject experience headaches is 0.0189, and so on.
To answer whether it <em>is reasonable to expect that more than one subject will experience headaches</em>, you must find the probability that:
- X = 2 or X = 3 or X = 4 or X = 5
That is:
- P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).
That is also the complement of P(X = 0) or P(X = 1)
From the table:
- P(X = 0) = 0.0014
- P(X = 1) = 0.0189
Hence:
- 1 - P(X = 0) - P(X = 1) = 1 - 0.0014 - 0.0189 = 0.9797
That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.
In conclusion, <em>yes, it is reasonable to expect that more than one subject will experience headaches</em>
Add 1.5 to both sides:
Divide both sides by 2:
Consider the arcsin of both sides:
Arcsin and sin simplify, because they are inverse of each other:
