If a person after 10 steps is at his starting position, then this person takes 5 steps forward and 5 steps backward.
This is a binomial distribution with
- probability to take step forward
- probability to take step backward
Then
Answer: 
Answer: The two integers are 8 and 9.
Step-by-step explanation: Let n represent the number.
n^2 + (n + 1)^2 = 145
By foiling, this can be rearranged to:
n^2 + n^2 + 2n + 1 = 145
Subtract 145 from both sides:
2n^2 + 2n - 144 = 0
Divide both sides by 2:
n^2 + n - 72 = 0
Factor the polynomial:
(n + 9)(n - 8) = 0
Solve for n:
n = -9, n = 8
Since they need to be consecutive, make the 9 positive. It will be positive either way because it is being squared.
Now, n = 9 and n = 8.
These are your two integers. Hope this helps!
<u>Answer:</u>
<h2>
SA = 254 cm²</h2>
<u>Steps:</u>
SA = 2(L×W) + 2(H×L) + 2(H×W)
given:
L = 9 cm
W = 4 cm
H = 7 cm
SA = 2(9×4) + 2(7×9) + 2(7×4)
SA = 2×36 + 2×63 + 2×28
SA = 72 + 126 + 56
SA = 254 cm²
Answer:
y = 3.91 when x =7
Step-by-step explanation:
y = k / x⁴
Where,
k = constant of proportionality
y=15 when x=5
y = k / x⁴
15 = k / 5⁴
Cross product
15 × 5⁴ = k
15 × 625 = k
9,375 = k
What is y when x=7?
y = k / x⁴
= 9,375 / 7⁴
= 9,375 / 2401
= 3.9046230737192
Approximately
y = 3.91
