Answer:
6.7% of employees at Solar Systems, Inc. are younger than 30 years old
Step-by-step explanation:
The mean of ages of the employees at Solar Systems is 32.7 years
Mean = 
Standard deviation =
We are supposed to find What percentage of employees at Solar Systems, Inc. are younger than 30 years old i.e.P(x<30)
So,
Z=-1.5
Refer the z table for p value
So,p value = 0.0668
So P(x<30)=0.0668= 6.68% = 6.7%
So, 6.7% of employees at Solar Systems, Inc. are younger than 30 years old
Hi there!
First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).
S = 4 - 2 / 3 - 5
S = 2 / -2
S = -1
Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.
(2,5)
y - 5 = -1(x - 2)
y - 5 = -x + 2
y = -x + 7
(4,3)
y - 3 = -1(x - 4)
y - 3 = -x + 4
y = -x + 7
The two equations came out the same! Which is completely okay, and happens sometimes.
Hope this helps!! :)
If there's anything else that you're needing help with, don't be afraid to reach out!
Answer:
Point
Explanation:
It makes the most sense
Answer:
-
Step-by-step explanation:
arcsin(−1/2) = -arcsin(1/2)
In the table of common values,
-arcsin of 1/2 = π/6 = -π/6
Note: Memorize the results of the common values.
A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.
Let's look at your function.
is in the numerator. It is defined for every value of x. There is no problem there.
is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.
We set it equal to zero and solve the equation for x.
For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).
The answer is:
