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the sum of their squares is 110, So 
the sum of their cubes is 684, so 
the product of the three integers is 210, so xyz= 210
the sum of any two products (xy+yz+zx) is 107
Now we plug in all the values in the identity
684 - 3(210) = (x+y+z)(110-107)
684 - 630 = (x+y+z)(3)
54 = 3(x+y+z)
Divide by 3 on both sides
18 = x+y+z
the value of the sum of three integers is 18
There is no explicit formula for interest rate, so it must be found by some sort of solver. Here a TI-84 work-alike calculator financial app has been used to find the interest rate (APR) to be 7.5%.
The loan amount is 4000 less 8% of 4000, which is .08*4000 = 320. That is, the loan amount is 4000 -320 = 3680.
Answer:
16% of students will complete the exam in less than 60 minutes
Step-by-step explanation:
The Empirical Rule(68-95-99.7) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 70
Standard deviation = 10
What percentage of students will complete the exam in less than 60 minutes
60 = 70-10
So 60 is one standard deviation below the mean
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean, that is, from 60 to 80 minutes. The other 100-68 = 32% is outside this interval. Since the normal distribution is symmetric, 16% of those are below 60 and 16% of those are above 80.
16% of students will complete the exam in less than 60 minutes
Answer:
1.00 would be the cost
Step-by-step explanation:
