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.
Answer: 4
Step-by-step explanation:
Aiden will receive $1.43 from a $5 bill.
If the state tax is 5.5%, you can use the equation below to solve for the total cost, <em>t</em>.
<em>t</em> = 1.055 (2 × 1.09 + 1.20)
<em>t</em> = 1.055 (2.18 + 1.20)
<em /><em>t </em>= 1.055 (3.38)
<em>t </em>= 3.5659
You can round 3.5659 to $3.57. Finally, you subtract 3.57 from 5 to find the amount of change Aiden will receive, <em>c</em><em />.
<em>c </em>= 5 - 3.57
<em>c </em>= 1.43
Answer:
Step-by-step explanation:
When the interest compounds continuously, our formula is
If we start with 10000 and are looking for how long, t, it takes to double, we are looking for how long it will take for our account to have 2 times 10000. That's 20000. Therefore, our equation is
Divide both sides by 10000 to get
Take the natural log of both sides to "undo" that e:
Again, since ln and e undo each other what we have now is
ln(2) = .11t and
so
t = 6.3 years
Answer: C
Step-by-step explanation:
i took the test
