Let d and q be the number of dimes and quarters respectively.
10 cents* d+ 25 cents* q = 620 cents ($6.20 = 620 cents)
⇒ 10d + 25q = 620 (1)
On the other hand, we have: d+ q= 32 (coins) (2)
From (1) and (2), we solve the set of equations.
The final answer is d= 12 coins and q= 20 coins.
Answer:
The hundredths place of a number is the second decimal number to the right. Now, looking at the number 94.821...
<em>9 would be in the tens place</em>
<em>4 would be in the ones place</em>
<em>8 would be in the tenths place</em>
<em>2 would be in the hundredths place</em>
<em>1 would be in the thousandths place</em>
<em>Now remember that in order to find out if you must round up or down, see if the digit next to the hundredths place is greater or less than 5.</em>
<em>If greater than 5, round up</em>
<em>If less than 5, round down</em>
<em>This means that our new number would be:</em>
94.82
Answer:
Postive.
Step-by-step explanation:
A positive number times a positive number equals a positive number. This is the multiplication you have been doing all along, positive numbers times positive numbers equal positive numbers. For example, 5 x 3 = 15.
Answer:
The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the z-score that has a p-value of
.
A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months.
This means that ![n = 250, \pi = \frac{14}{250} = 0.056](https://tex.z-dn.net/?f=n%20%3D%20250%2C%20%5Cpi%20%3D%20%5Cfrac%7B14%7D%7B250%7D%20%3D%200.056)
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.056 - 1.96\sqrt{\frac{0.056*0.944}{250}} = 0.0275](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.056%20-%201.96%5Csqrt%7B%5Cfrac%7B0.056%2A0.944%7D%7B250%7D%7D%20%3D%200.0275)
The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.