Convert the larger unit into the smaller unit, and then solve.
Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
If state has 1627260 people and 1490 square miles, then we divide the number of people by the area and we get the density per square mile.
1627260 / 1490 = 1092,120805369128
After rounding it to the nearest whole number we get 1092.
The answer: In such a state 1092 people live in a square mile.
The probability of 3 successes is 0.0384
<h3>How to determine the probability?</h3>
The given parameters are:
- Trials, n = 4
- Probability of success, p = 0.4
The binomial probability is represented as:
So, the probability of three successes is:
Evaluate the factors in the expression
Evaluate the combination expression
P(3) = 1 * 0.0384
Evaluate the product
P(3) = 0.0384
Hence, the probability of 3 successes is 0.0384
Read more about probability at:
brainly.com/question/25870256
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You need to distribute the -5 and(2x-7y+3)which gives you -10x+35y-15. Now you have 2x-10x+35y-15+-8. Combine like terms, 2x-10x=-8x, also combine -15+-8= -23. The answer would be -8x+35y-23.
