Answer: the arithmetic sequence is
3, 10, 17, 24
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference. This means that the difference between the first term and the second term must equal the difference between the second term and the third term.
Considering the following sequences,
1) 4 - 1 = 3
9 - 4 = 5
There is no common difference and so, it is not an arithmetic sequence.
2) 10 - 3 = 7
17 - 10 = 7
The common difference is 7. So it is an arithmetic sequence.
3) 6 - - 5 = 11
10 - 6 = 4
There is no common difference and so, it is not an arithmetic sequence.
4) 2 - 1 = 1
4 - 2 = 2
There is no common difference and so, it is not an arithmetic sequence.
0.442
Step-by-step explanation:
Step 1 :
Given that 11% of the lights are defective.
So probability of a light randomly chosen is defective is .11
This implies probability of a light randomly chosen is not defective is 1 - .11 = .89
Step 2 :
In a pack of 5 light bulbs the probability that none of them are defective is (0.89)^ 5
Hence the probability that at least one of the light bulbs is defective is
1-(0.89)^ 5 = 1 - 0.558 = 0.442
Answer:
I can try
Step-by-step explanation:
Answer:
Pool B has the greater circumference.
Step-by-step explanation:
Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters.
We want to see which pool has a greater circumference.
The circumference of a circle is the distance around a circle or the total length of a circle, and it is given as:
where r = radius of the circle
So that our comparison can be accurate, let us put the dimensions of both pools in a single unit, metre.
The radius of pool A is 16 feet.
1 foot = 0.305 metres
16 feet = 4.88 metres
The radius of pool A in metres is 4.88 metres
CIRCUMFERENCE OF POOL A
CIRCUMFERENCE OF POOL B
As we can see, pool B has the greater circumference.
2x + 3x + x + 60= 180
6x + 60= 180
6x° = 120°
x° = 20°
(2x)°= 40°
(3x)°= 60°
(x+60)°= 80°
