Answer:
The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.
Step-by-step explanation:
We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.
Let X = <u><em>heights of 18-year-old men.</em></u>
So, X ~ Normal(
)
The z-score probability distribution for the normal distribution is given by;
Z = 
~ N(0,1)
where, 
= mean height = 68 inches
= standard deviation = 3 inches
Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)
P(X > 65 inches) = P( > 
) = P(Z > -1) = P(Z < 1)
= <u>0.8413</u>
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.
Answer:
Step-by-step explanation:
Incomplete question
6=S
therefore, to find one you must divide both sides by 6
the answer should be = 1=S/6
Answer:
<h2> (-1,1)</h2>
Step-by-step explanation:
Given system is
If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.
In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.
Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>
Then, we replace this value in one equation to find the other value
Therefore, the solution is (-1,1)
Hey there!
Your answer is 0.
All the angles of a triangle must add up to 180 degrees.
However, the sum of these angles is not equal to 180 degrees.
70 + 70 + 70 = 210
210 is not equal to 180.
Hence, no triangles can be made using the angles 70, 70, and 70.
Hope this helps!
