Answer:
$2.50
Step-by-step explanation:
Let's set up a proportion using the following setup.
price / pens = price / pens
We know that it costs $4.00 for 8 pens.
$4.00 / 8 pens = price / pens
We don't know how much it costs for 5 pens. Therefore, we can say it costs $x for 5 pens.
$4.00 / 8 pens = $x / 5 pens
4/8=x/5
We want to solve for x (the cost for 5 pens). Therefore, we must get x by itself on one side of the equation. x is being divided by 5. The inverse of division is multiplication, so multiply both sides of the equation by 5.
5*(4/8)=(x/5)*5
5*(4/8)=x
5*0.5=x
2.5=x
x= $2.50
Ivan should pay $2.50 for 5 pens.
We have the following expression given:

We can start selecting as common factor 4y^2 and we got:

Now we can select y+7 as common factor and we got:

So then our final answer would be:
Answer:
0.549 or 54.9%
Step-by-step explanation:
This is a binomial distribution (Bernoulli's experiment), where the probability of “success” (selecting a battery with acceptable voltage) is 0.9 and the probability of “failure” is 0.1
So, the probability of selecting at least 14 acceptable batteries out of 15 is
where <em>C(n, m) are combinations of n elements taken m at a time</em>.
C(15,14) = 15
C(15,15) = 1
so, the probability we are looking for is

Answer:
Step-by-step explanation:
where is the diagram
Answer:
No
Step-by-step explanation:
The point is not in the shaded section. Every single point on the shaded section is a solution.