Answer:
<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>
Step-by-step explanation:
First alloy contains 34% copper and the second alloy contains 48% alloy.
We wish to make 46 pounds of a third alloy containing 37% copper.
Let the weight of first alloy used be
in pounds and the weight of second alloy used be
in pounds.
Total weight =

Total weight of copper = 

Subtracting 34 times first equation from second equation,

∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.
Answer:
Step-by-step explanation:
<u>Simplify</u>
- 4^10 divided by 4^10 . 7^0
- 4^10/(4^10*7^0) =
- 4^10/4^10 =
- 1
Answer:
q=(1,5) t=(-2,3)r=(3,-1)s=(0,0)
Step-by-step explanation:
Answer:
4.01% probability that the battery will break down during the warranty period
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

a. What is the probability that the battery will break down during the warranty period
Warranty of 2 years = 24 months. So this is the pvalue of Z when X = 24.



has a pvalue of 0.0401
4.01% probability that the battery will break down during the warranty period