Answer: 1 hour and 50 min
Step-by-step explanation:
Answer:
The lowest 5% of data ends at 57.73.
Step-by-step explanation:
Let the random variable <em>X</em> follow a Normal distribution with mean μ = 80.6 and standard deviation σ = 13.9.
The lowest 5% of the distribution can be expressed in terms of probability as follows:

Compute the value of <em>x</em> as follows:

The <em>z</em> score such that P (Z < z) = 0.05 is <em>z</em> = -1.645.
**Use the <em>z-</em>table for the for the <em>z</em>-score.
The value of <em>x</em> is:

Thus, the lowest 5% of data ends at 57.73.
Answer:
142° is the measure of angle 2.
Step-by-step explanation:
When two lines intersect, they make four angles. The angles facing each other are equal.
Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.
The measure of angle 3 = 38 degrees.
We know that the angle 1 is against angle 3 and is equal to 38.
Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.
Now, the sum of all four angles = 360 degrees
∠1 + ∠2+ ∠3 + ∠4 = 360°
38° + x + 38° + x = 360°
2x = 360° - 76°
2x = 284°
x = 142°
Hence, ∠2 = 142°
Answer:
When a line has a slope of 1/3, it means it's going up 1 unit and to the right 3 units.
(Remember rise/run; in which rise is movement up or down, and run is movement left or right. )
Here's an example graphed above for you⤴⤴⤴
Hope this helps you :)
Answer:
0.098
Step-by-step explanation:
Given that when filling out the 2000 Census, people could choose one of four options to describe their marital status.
Data from the 2000 Census were used to compute the following probabilities
Marital status Never married Married widowed Divorced total
Prob 0.239 0.595 0.068 0.098 1
Actually we were not given probability for divorced but using total probability =1 we arrived at the probability for divorced as
1-sum of the remaining probabilities
=
the probability that a randomly selected U.S. adult is divorced
= 0.098