Answer: NJ = 8
Step-by-step explanation:
Given: In triangle JKL , MN is a line segment parallel to KL intersects the other sides into two distinct points at M and N.
The basic proportionality theorem says that a line is parallel to a side of a triangle which intersects the other sides into two different points then the line divides those sides in proportion.
So by basic proportionality theorem we have :-

Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
Let X the random variable of interest for a population. We know from the problem that the distribution for the random variable X is given by:
We take a sample of n=64 . That represent the sample size.
The sample mean is defined as:

And if we find the expected value and variance for the sample mean we got:

Var(\bar X) = \frac{\sigma^2}{n}[/tex]
The distribution for the sample mean is given by:
Answer:
82.8 cm measured to the nearest tenth of 80cm.
Answer:
x = 3.87
Step-by-step explanation:
Using the right angle altitude theorem, we know that all three triangles are congruent, so the lengths of corresponding sides of the triangles are in proportion..
AD/DB = DB/DC
15/x = x/1
x² = 15
x = √15
x = 3.87
Answer:
6,240 cm
Step-by-step explanation:
8 cm x 5 cm x 13 cm x 12 cm = 6,240 cm