Answer:
Option C
Step-by-step explanation:
From the number line given in the picture,
Blue arrow has the starting point at a = 6 (Dark point) and moving towards negative side of the number line.
Therefore, number line represents a ≤ 6
3a ≤ 3(6)
3a ≤ 18
3a - 11 ≤ 18 - 11
3a - 11 ≤ 7
Therefore, Option C is the correct option.
Answer:
p^2 + q^2 = 22/9.
Step-by-step explanation:
For a quadratic function ax^2 + bx + c if the zeroes are A and B then
A + B = -b/a and AB = c/a.
2x^2 - 7x + 3
Now p and q are the zeroes of the above function so
p + q = 7/3 and pq = 3/2.
Now p^2 + q^2 = (p + q)^2 - 2pq
= (7/3)^2 - 2* 3/2
= 49/9 - 3
= 49/4 - 27/9
= 22/9.
Answer:
The point estimate used to estimate the mean height of all adult males in Idaho is 69.505 inches.
Step-by-step explanation:
Each confidence interval has two bounds, the lower bound and the upper bound. The points estimate used to estimate the mean is the halfway point between those two bounds, that is, the sum of those two bounds divided by two.
In this problem, we have that:
Lower bound: 62.532
Upper bound: 76.478
Point estimate: (62.532 + 76.478)/2 = 69.505
The point estimate used to estimate the mean height of all adult males in Idaho is 69.505 inches.
Step-by-step explanation:
V = 1/3 pi r^2 h
root(V ÷ 1/3 pi) = h
Step-by-step explanation:
Formula:- 4/3*Pi*r^3
= 4/3*22/7*(1/2)^3
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