Answer:
20 nickels and 26 dimes
Step-by-step explanation:
- She has $3.60 in nickels and dimes
- a nickel is $0.05 and a dime is $0.10
- let n be the number of nickels and d be the number of dimes
- thus the first equation is 3.6 = 0.05n +0.1d
- If she has 46 coins then n + d = 46
- then n = 46 - d
- sub n = 46 - d into 3.6 = 0.05n +0.1d
- 3.6 = 0.05(46 - d) + 0.1d
- 3.6 = 2.3 -0.05d+0.1d
- 1.3 = 0.05d
- 26 = d
- sub d = 26 into n+d=46
- n+26=46
- n=20
- Check by subbing n=20 and d=26 into 0.05n +0.1d
- 0.05(20) +0.1(26)
- 1+2.6 = 3.6
Answer:
Step-by-step explanation:
A parallelogram has opposite parallel sides and it is a quadrilateral.
Answer:
Mean strength is 18.94 and your standard deviation is 0.5.
So the proportion of bolts that meet the specifications is 97%.
Step-by-step explanation:
First of all determine the z- scores of these points.There are 10% of bolts with a strength less than 18.3 kN and this normally distributed you can use chart or calculator to calculate z-score. As i have 5% then z-score is -1.28.Then check the other 19.76kN then find that it has a z-score of 1.64.
To check the difference subtract 19.76 and 18.3 then you get 1.46.
Subtract z-scores 1.64 - (-1.28) = 2.92
Then standard deviation is 1.46/2.92 = 0.50
mean of the bolts is obtained by adding 1.28 *0.5 = 0.64 to 18.3 then
subtract 1.64 *0.5 = 0.82 to 19.76
Then mean is 18.94
Mean strength is 18.94 and your standard deviation is 0.5.
For strength specification. First, we find the z-score for this value:
(18-18.94)/0.5=-1.88
the probability of a bolt being made stronger than this z-score.It is approximately 0.97.
So the proportion of bolts that meet the specifications is 97%. .
