Answer:
amplitude;
Phase shift; units right
Period;
Step-by-step explanation:
The given function is
This function is of the form;
The period is given by:
The period is given by:
The phase shift is given by;
or
units right.
Carlos has 4 fifths of a tank of fuel in his car. He uses 1 tenth of a tank per day. How many days will his fuel last?
2 answers:
4 fifths and 1 tenth can be represented as fractions.
4/5 and 1/10
To find out how much he uses per day, we must subtract 4/5 from 1/10. BUT, before we do that, we must create a common denominator.
1/10 cannot be reduced, but 4/5 can be multiplied by 2 to make 8/10.
Now we can perform our equation:
He would have 7/10 of gas left after one day. If this went on, his fuel would last for 8 total days.
4/5 and 1/10
To find out how much he uses per day, we must subtract 4/5 from 1/10. BUT, before we do that, we must create a common denominator.
1/10 cannot be reduced, but 4/5 can be multiplied by 2 to make 8/10.
Now we can perform our equation:
He would have 7/10 of gas left after one day. If this went on, his fuel would last for 8 total days.
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Answer:
The minimum score required for an A grade is 88.
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:
Find the minimum score required for an A grade.
Top 12%, which is at least the 100-12 = 88th percentile, which is the value of X when Z has a pvalue of 0.88. So it is X when Z = 1.175.
Rounding to the nearest whole number
The minimum score required for an A grade is 88.