Answer:
And we can find this probability using the complement rule and with excel or the normal standard table:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and with excel or the normal standard table:
The answer to this is f(x) = (3/2)x - 2.
I assume you meant "surface area" :)
Looking at the net, it looks like if you folded it back together it would form to become a triangular prism.
To calculate the surface area of a triangular prism, you would use the formula: A = bh + 2ls + lb, where b is the base of the triangular faces, h is the height of the prism, l is the length of the prism, and s is the side length of the prism.
I attached a picture to help you see what these labels are.
Looking at the diagram you've provided, we can assume that b = 7 cm, h = 4 cm, l = 8 cm, and s = 5 cm. Substitute these into the formula.
A = bh + 2ls + lb ==> A = (7)(4) + 2(8)(5) + (8)(7)
Multiply from left to right.
28 + 80 + 56
Add.
164
The surface area of this triangular prism is A) 164 cm^2.
Answer:
radius = 1/2 * diameter = 1/2 * 16 = 8 units
Ok, so the starting numbers are the fixed amounts. If we think of a graph, this is the y-intercept/ starting point and the rate would continue from there. This conclusion is very important to writing a linear equation in slope-intercept form.
If you don’t remember, slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
First, let’s make our equations.....
Plan A: y = 0.07x + 26
Plan B: y = 0.12x + 17
Now since it is not stated, I’m not sure if you need to find where the cost of both plans is equal, but that would be found by setting up a system of equations and using substitution.
y = 0.07x + 26
y = 0.12x + 17
Substitute one equation into the other...
0.07x + 26 = 0.12x + 17
- 0.05x = -9
0.05x = 9
x = 180
And there you have it! After 180 minutes [3 hours] of talking, both phone plans will have the same cost.
