Answer:166
Step-by-step explanation:
SA=2lw+2lh+2hw so 2*4*5+2*7*5+2*7*4
so 40+70+56=166
Answer:
<h3>Given</h3>
- g varies jointly with h and j
- g = 4 when h = 1/2, j = 1/3
<h3>To find</h3>
- Value of g when h = 2 and j = 3
<h3>Joint variation:</h3>
- g = khj, where k- coefficient
Use given values of h and j, and find the value of k:
- 4 = k*(1/2)(1/3)
- 4 = (1/6)k
- k = 4*6
- k = 24
The equation is now:
Find the value of g when h is 2 and j is 3:
<u>Correct choice</u> is D
Answer:
Step-by-step explanation:
The graphs are shown in the attached image.
The solution is where they intersect.
Step-by-step explanation:
we see 2 confirmed points with whole integers as coordinates.
(-2, -1) and (1, 2)
the general equation for a line is
y = ax + b
a is the slope expressed as y/x ratio indicating how many units y changes , when x changes for a certain amount of units when going from one point to another.
so, when going from (-2, -1) to (1, 2)
x changes by +3 units (from -2 to 1)
y changes by +3 units (from -1 to 2)
so, the slope (a) is 3/3 = 1
b is the y-intercept (the y value when x=0, so, the point where the line crosses the y-axis).
our equation looks now like this
y = x + b
to get b we use the coordinates of one of the points as x and y. e.g. (1, 2) :
2 = 1 + b
b = 1
the full equation is
y = x + 1
Answer:
Step-by-step explanation:
Notation
Total = n= 4+7+5=16 people
We are going to select 3 people and will be given gift certificates to a local restaurant so then r =3.
Determine the probability that two of those selected will be from the accounting department and one will be from the sales department.
For this case we can use combinatory nCx, since the selection is without replacment.
Where (nCx) means combinatory and it's given by this formula:
So then the definition of probability is given by :
Let's begin with the total outcomes, we have a total of n=16 people and we wan't to select 3 of them, so the possible outcomes are:
And now let's analyze the possible outcomes, we need that the group of 3 would be conformed by two people from the accounting department and one from the sales deparment. So then the possible outcomes are:
And the reason is because we have a total of 5 people at the accounting and we want to select 2. And we have a total of 4 people at the sales department and we want to select just 1. And the multiplication it's because the order on the selection no matter (we assume this).
So then replacing into our formula of probability we got: