Let q and n represent the number of quarters and nickels respectively.
q=3n and .05n+.25q=1.6 These are the conditions in mathematical terms.
To solve, use the value of q from the first equation in the second equation to get:
.05n+.25(3n)=1.6 carry out indicated multiplication on left side
.05n+.75n=1.6 combine like terms on left side
.8n=1.6 divide both sides by .8
n=2, since q=3n
q=6
So Peggy had 2 nickels and 6 quarters.
<span>The <u>correct answer</u> is:
A) 60% ± 18%.
Explanation:
In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.
First we <u>find the value of z</u>:
We want a 95% confidence level; 95% = 95/100 = 0.95.
To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.
Divide by 2:
0.05/2 = 0.025.
Subtract from 1 again:
1-0.025 = 0.975.
Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.
Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.
This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
Answer:
38%
Step-by-step explanation:
Change 
to a percent, that is
× 100% = 0.28 × 100% = 28%
Then 34% + 28% = 62% ← go by bus or car, leaving
100% - 62% = 38% walking to school
Answer:
There are 1,679,616 ways to answer the test
Step-by-step explanation:
Here, we want to get the number of ways to answer the test
From the question, we have that there are 8 questions, with each having 6 possible answers
Hence, the total number of answers to pick from is 8 * 6 = 48
We are to pick 6 out of this total 48, with 1 option per question
So in the first, we are picking 1 out of 6
The number of ways here is;
6 C 1 = 6 ways
The next, we have 6 ways also , up to the 8th question
So, the total number of ways will be;
6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 = 6^8 =
1,679,616
First, add up the 6 counts of vehicles in various areas. Call this C. Then, one by one, divide the counts by C: For example, (3051/C)*100% = percentage of vehicles sold in North America.
