B should be the right answer
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Answer:
0.8041
Step-by-step explanation:
We know that
μ=72 and σ=5
and P(65<X<78)
We can determine the Z value as (X-μ)/σ
P( 65<X<78 )=P( 65-72< X-μ<78-72)


To fine the Z values:

From the standard normal tables:

to find P ( Z<-1.4)

From the standard normal tables:

Therefore


Answer:
<em>The age at which both companies charge the same premium is 44 years</em>
Step-by-step explanation:
<u>Graph Solution to System of Equations</u>
One approach to solving systems of equations of two variables is the graph method.
Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.
The annual premium p as a function of the client's age a for two companies are given as:
Company A: p= 2a+24
Company B: p= 2.25a+13
The graphs of both functions are shown in the image below.
The red line indicates the formula for Company A and the blue line indicates the formula for Company B.
It can be seen that both lines intersect in the point with approximate coordinates of (44,112).
The age at which both companies charge the same premium is 44 years
Answer:
a - about 3 packs cause you have to round up
b - $50.76
Step-by-step explanation:
First you divide 42 and 18.
42/18=2.33
You have to round up cause you can't have half of a pack, you can't just buy half of a pack.
So, it is rounded to 3 packs.
Next you have to multiply the number of packs and the cost of each pack of water bottles.
16.92*3=$50.76
a - you have to buy 3 packs
b - the total cost is $50.76