Answer:
see explanation
Step-by-step explanation:
Given
(2m + 5n)² = (2m + 5n)(2m + 5n)
Each term in the second factor is multiplied by each term in the first factor, that is
2m(2m + 5n) + 5n(2m + 5n) ← distribute both parenthesis
= 4m² + 10mn + 10mn + 25n² ← collect like terms
= 4m² + 20mn + 25n² ← perfect square trinomial
Answer:
c. 3.6 and 10.4 hrs
Step-by-step explanation:
The Empirical Rule 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 deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 7, standard deviation 1.7.
For about 95% of students, nightly amount of sleep is between
7 - 2*1.7 = 7 - 3.4 = 3.6 hours
7 + 2*1.7 = 7 + 3.4 = 10.4 hours
So the correct answer is:
c. 3.6 and 10.4 hrs
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
in our case we have a baseline with its associated height right there. and so the area is
17 × 6 / 2 = 17 × 3 = 51 ft²
Answer:
Step-by-step explanation:
Given is a steam and leaf plot.
This shows the age of customers who were interviewed in a survey by a store.
From the plot we can say that 10th digit is represented by the stem
For greater than 32, obviously 1,2 stem valus will not work.
For stem 3, we can leave 30 and 31 start with 2 in leaf and 3 n stem
We have 32, onwards 7 persons
Similarly for 4, we have 6, for 5 we have 5, for 6 we have 4 and for 7 we have 1
Total number of customers who have ages more than 32 years = 21
