Answer:
4/9
Step-by-step explanation:
- The denominator is the bottom value of a fraction, therefore we can discount 9/2
- 1/9 = 2/18. 2/18 is smaller than 3/18 so we can discount 1/9
- 50/100 = 0.5
5/9 = 0.55555...
0.55555... is greatest than 0.5, therefore we can discount 5/9
Answer:
The given equation will have value less than 100 whenever the value of b is greater than 12.89
Step-by-step explanation:
For the given equation, p(b) = 520 ×
to have a value less than 100 we can establish inequality as:
p(b) < 100
or, 520 ×
< 100
or,
×
< 
or,
< 
or, ㏒ (
) < ㏒ (
)
or, b× ㏒ 0.88 < ㏒ (
)
or,
< b
or, 12.89 < b
Hence for the equation to have value less than 100, b must be greater than 12.89.
Let 1st integer = xLet 2nd integer = x + 1 We set up an equation. x(x + 1) = 195 x2 + x = 195 x2 + x - 195 = 0
We will use the quadratic formula: x = (-b ± √(b2 - 4ac) / (2a) x = (-1 ± √(1 - 4(-195))) / 2 x = (-1 ± √(781)) / 2 x = (-1 ± 27.95) / 2 x = 13.48x = -14.78
<span>We determine which value of x when substituted gives us a product of 195.</span> 13.48(14.48) = 195.19-14.48(-13.48) = 195.19 <span>The solution is 2 sets of two consecutive number</span> <span>Set 1</span> The 1st consecutive integer is 13.48The 2nd consecutive integer is 14.48
<span>Set 2</span> The 1st consecutive integer is -14.48The 2nd consecutive integer is -13.48Hopefully this helped, hard work lol :)
Answer:
5th term: 20
6th term: 23
Step-by-step explanation:
T5=3n+5
T5=3(5)+5
T5=15+5
T5=20.
T6=3n+5
T6=3(6)+5
T6=18+5
T6=23
T5= 20
T6= 23
Answer:
attached below
Step-by-step explanation:
Given : FX (x) = 3/4x (2-x) 0 ≤ x ≤ 2
a) Calculate the cumulative distribution function FX
Cdf =
attached below is the detailed solution
b) Let Y = √ X. determine CDF
attached below
c) calculate PDF