Answer:
.For about 68% of students, nightly amount of sleep is between __4____and ___6__ hours.For about 95% of students, nightly amount of sleep is between __3____and __7___ hours.For about 99.7% of students, nightly amount of sleep is between ___2___and __8___ hours.
Step-by-step explanation:
The empirical rule tells us that for normal distributions,
68% of data lie within one standard deviation of the mean.
Thus, 68% of data lie within 
⇒ 5 ± 1 = (4, 6) hours
Similarly, 95% of data lie within two standard deviation of the mean.
Thus, 95% of data lie within 
⇒ 5 ± 2 = (3, 7) hours
99.7% of data lie within one standard deviation of the mean.
Thus, 99.7% of data lie within
⇒ 5 ± 3 = (2, 8) hours
Answer:
63/8 , 7 7/8 or 7.875
Step-by-step explanation:
First convert the mixed number to an improper fraction: 5 1/4 = 21/4
And then multiply the fractions 21/4 x 3/2 = 63/8
Answer:
y = (75x + 500)
Step-by-step explanation:
To find the linear model,
Let y = monthly balance of the savings
x = months of the savings
With savings account with $500 which is fixed
deposits = $75
Then the model is
y = (75x + 500)
Pull an x from the first two terms
x(x^3 + y^3) + (x^3 + y^3) Now x^3 + y^3 is a common factor.
(x^3 + y^3)*(x + 1) That should be far enough. It can be factored further by factoring (x^3 + y^3) but there is no point because you can't do anything after that. But in case you want to know how x^3 + y^3 factors
(x^3 + y^3) = (x + y)(x^2 - xy + y^2)
Which means you could write original polynomial as
(x + y)(x^2 - xy + y^2)(x + 1)
Part B
You factored the x out of xy^3 so that you would have a common factor (x^3 + y^3) to pull out as a common factor for the whole polynomial.
Answer:
50 cm
Step-by-step explanation:
4/5 = 40/x
cross multiply
4x=200
x=50
