This equation uses two properties of logarithms:
So you could take the ln from left and right hand side in the equation, and get:
(2-x)ln 3 = x ln 5
then
2 ln 3 - x ln 3 - x ln 5 = 0 =>
x(ln 3 + ln 5) = 2 ln 3
so x = 2 ln 3 / (ln3 + ln5)
Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15
so x= ln9 / ln15
Yes, I form a right triangle with the three lengths given, because The largest side which is 13cm can be squared and will be set to equal to the sum of squares of smaller two side.
<h3>What is a right-angled triangle?</h3>
A right-angled triangle serves as the triangle having one of its angles equal to 90 degrees.
It should be noted that the other two angles sum up to 90 degrees., hence I form a right triangle with the three lengths given, because The largest side which is 13cm can be squared and will be set to equal to the sum of squares of smaller two side.
Read more on the right triangle here:
brainly.com/question/2217700
#SPJ1
(a)
different possibilities
(b)
So, there is a 1 in 4 chance that both dice will show an even.
Answer: D
Step-by-step explanation:
Standard Deviation σ2 =
Σ(xi - μ)2/N
=(1 - 5.3)2 + ... + (9 - 5.3)2/10
=68.1/10
= 6.81
σ = √6.81
= 2.60959767014
B) σ2 =
Σ(xi - μ)2/N
=(3 - 61.7)2 + ... + (99 - 61.7)2/10
=58414.1/10
= 5841.41
σ = √5841.41
= 76.429117488036
C) (1 - 11.4)2 + ... + (1 - 11.4)2/10
=8758.4/10
= 875.84
σ = √875.84
= 29.59459410095
D) (79 - 79)2 + ... + (79 - 79)2/10
=0/10
= 0
σ = √0
= 0
I hope this helps, mark as Brainliest please.
