Answer:
x = 4
Step-by-step explanation:
Since the terms are in an arithmetic progression then there is a common difference between consecutive terms, that is
2x - 1 - (x + 1) = x + 5 - (2x - 1) ← distribute parenthesis on both sides
2x - 1 - x - 1 = x + 5 - 2x + 1, that is
x - 2 = - x + 6 ( add x to both sides )
2x - 2 = 6 ( add 2 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
The 3 terms are 5, 7, 9
Given:
540 miles to college
average rate of 45 miles per hour
How many hours will it take him to get 3/4 of the way there?
540 miles * 3/4 = (540 * 3) / 4 = 1620/4 = 405 miles
405 miles / 45 mph = 9 hours.
It would take Tameron 9 hours to travel 3/4 of the way there.
I hope this answers your question !
Answer:
The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 <
< 0.314695
Step-by-step explanation:
The confidence interval for a proportion is given by the following formula;

Where:
x = 33
n = 136
= x/n = 33/136 = 0.243
z value for 95% confidence is 1.96
Plugging in the values, we have;

Which gives;
0.17059 <
< 0.314695
Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 <
< 0.314695
From the above we have;
23.2 < x < 42.798
Since we are dealing with people, we round down as follows;
23 < x < 42.