Answer:
294
Step-by-step explanation:
Since 3=30/10, (30+1)/10=31/10. 31s/10=(30+1)/5 ( we get 30 because 5*6=30) = 31/5. Multiplying both sides by 10, we get 31s=62 (since 5 is a factor of 10, we can do 10/5 =2 and multiply 2 by 31). Dividing both sides by 31, we get s =2
Answer:
60/11
Step-by-step explanation:
tan A = 60/11
We are given with the combination ratio of ostrich eggs and duck eggs to produce a scramble and equivalently another ratio to make one. In this case, the algebraic expression would be:
2 + 14 x = 5
14x = 3
x = 3/14
The ratio thus of duck egg to ostrich egg is 3 duck eggs/14 ostrich eggs
0.21 duck eggs per ostrich egg
Answer:
A guarantee of 6.24 years should be offered.
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:

If she is willing to replace only 3% of the motors that fail, how long a guarantee should be offered?
The 3rd percentile, that is, the value of X when Z has a pvalue of 0.03. So X when Z = -1.88.




A guarantee of 6.24 years should be offered.