Answer:
3x +8y = -17
Step-by-step explanation:
The point-slope equation is a good place to start.
y -k = m(x -h) . . . . . equation through (h, k) with slope m
Filling in your numbers gives ...
y +4 = -3/8(x -5)
Multiplying by 8, we get
8y + 32 = -3x + 15
Adding 3x-32 puts this in standard form.
3x + 8y = -17
_____
Standard form is ...
ax +by = c
where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)
Answer:
And using the cumulative distribution function we got:
The probability that preparation is within 2 minutes of the mean time is 0.134
Step-by-step explanation:
For this case we define the following random variable X= (minutes) for a lab assistant to prepare the equipment for a certain experiment , and the distribution for X is given by:
The cumulative distribution function is given by:
The expected value is given by:
And we want to find the following probability:
And we can find this probability on this way:
And using the cumulative distribution function we got:
The probability that preparation is within 2 minutes of the mean time is 0.134
Answer:
The volume of the triangular pyramid
V = 566.66 in³
Step-by-step explanation:
<u><em>Step(i):-</em></u>
The volume of the triangular pyramid
Base area = Area of the triangle
Given the base of the triangle (b) = 17in
Given Height of the triangle (h ) =10 in
The base area of the pyramid ( A) = 85 in²
<u><em>Step(ii):-</em></u>
<u><em>Given the height of the pyramid (h) = 20in</em></u>
The volume of the triangular pyramid
The volume of the triangular pyramid
=
<u><em>Final answer:-</em></u>
The volume of the triangular pyramid
V = 566.66 in³