Answer:
± 60
Step-by-step explanation:
aₙ = a₁ * rⁿ⁻¹
a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶ (1)
a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴ (2)
(1)/(2): 30/120 = 1/4 = r²
r = ± 1/2 or ± 0.5
a₁ = a₇/r⁶ = 30/0.5⁶ = 1920
a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60
Answer: True
Step-by-step explanation:
The length of the sides of a right triangle are always less than the length of the hypotenuse.
Also, the ratio of any side of a triangle and the hypotenuse is always less than 1.
Answer:268.08
Step-by-step explanation:
T = 1/2
-6 = -12t
-6/-12 = t
6/12 = t
1/2 = t
Answer:
- 60.8%
- 39.2%
Step-by-step explanation:
It is convenient to put the numbers into a table and fill in the remaining values. In the attachment, the given numbers are blue. The black numbers are the values that make the totals add up.
__
1. The probability of interest is the sum of the numbers in the table spaces shaded blue. You can find that sum several ways. The usual way used for an "OR" probability is ...
p(<16 or night) = p(<16) + p(night) - p(<16 & night)
= 37.1% + 27.5% - 3.8%
= 60.8%
__
2. This probability is the complement of the one in the first part. It is the value in the yellow-shaded box.
p(≥16 & day) = 1 - p(<16 or night) = 1 -60.8% = 39.2%