Answer:
P(N)=0.3
Step-by-step explanation:
Given: P(M)= 0.46, P(M and N)=0.138
Using P(M) ×P(N)= P(M and N)
⇒0.46×P(N)= 0.138
⇒P(N)= 
⇒P(N)=0.3
Question:
Which expression is equivalent to 144^(3/2)
Answer:
1728
Step-by-step explanation:
The options are not well presented. However, this is the solution to the question.
Given:
144^(3/2)
Required:
Find Equivalent.
We start my making use of the following law of logarithm.
A^(m/n) = (A^m)^1/n
So,
144^(3/2) = (144³)^½
Another law of indices is that
A^½ = √A
So,
144^(3/2) = (144³)^½ = √(144³)
144³ can be expanded as 144 * 144 * 144.
This gives
144^(3/2) = √(144 * 144 * 144)
The square root can then be splitted to
144^(3/2) = √144 * √144 * √144
144^(3/2) = 12 * 12 * 12
144^(3/2) = 1728.
Hence, the equivalent of 144^(3/2) is 1728
Answer:
The Median should be 89.5
And the mean should be 69.75
I hope that helped
Answer:
The correct option is 3.
Step-by-step explanation:
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
J = 90°, J' = 90°
K = 65°, K' = 65°
L = 25°, L' = 25°
In a rigid transformation the image and pre-image are congruent. Reflection, translation and rotation are rigid transformation.
In a non rigid transformation the image and pre-image are similar. Dilation is a non rigid transformation.
In a rigid or a nonrigid transformation, the corresponding angles are same. If the corresponding sides are same, then it is a rigid transformation and if the corresponding sides are proportional, then it is a non rigid transformation.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
Therefore option 3 is correct.
