The sum of two numbers is 167. The second number is 29 less than three times the first number. Fine the numbers. The two require
2 answers:
Answer:
Step-by-step explanation:
Let the first number be
Let the second number be
Applying substitution method.
Combining like terms.
Adding 29 to both sides.
Dividing both sides by 4.
Substituting x = 49 for the second equation.
Multiplying the numbers.
Subtracting.
The two required numbers are 49 and 118.
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Answer:
The candle burns for 244 minutes.
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:
Find the number of minutes a scented candle burns if it burns for a shorter time than 60% of all scented candles.
This is the 100-60 = 40th percentile, which is X when Z has a pvalue of 0.4. So X when Z = -0.253.
The candle burns for 244 minutes.
13.
(a)
for x = 2:
for x = 5
(b)
The graph is:
(c)
Using the graph:
Using the quadratic formula:
