Answer:
And using the normal standard table or excel we find the probability:

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".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then, the distribution for the sample mean
is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:

This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"
The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)
This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!
In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
Answer:
BC is 25 units
Step-by-step explanation:
AB = AC
4x + 4 = 6x - 14
4x + 4 - 4x + 14 = 6x - 14 - 4x + 14
18 / 2 = 2x / 2
9 = x
2(9) + 7
18 + 7
25
Answer: BC is 25 units
Answer:
Step-by-step explanation:
Median: 7.65
Mean: 7
Mode: 4.4
Range: 9.9
<u>Answer:</u>

<u>Step-by-step explanation:</u>
To find the solution to the equation, we have to rearrange the equation to make
the subject:

⇒
[Subtracting 2 from both sides]
⇒ 
⇒
[Subtracting
from each side]
⇒ 
⇒
[Diving both sides by 213]
⇒ 