Using the probability concept, it is found that there is a 0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In an experimental probability, these number of outcomes are taken from previous trials.
In this problem:
- The experiment was made 20 times.
- Of those, in 6 experiments(81, 105, 171, 159, 297, 387) she choose a page that was divisible by 3.
Then:
0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.
You can learn more about the probability concept at brainly.com/question/15536019
Factor out the GCF, which is 4.... 4(4a+3b)
Answer:
g) 
, h) 
Step-by-step explanation:
We proceed to solve each equation by algebraic means:
g) 
1) Given
2) 
Definition of division
3) 
4) 
Associative property
5) 
/Result
h) 
1) Given
2) 
Definition of division
3) 
4) 
Factorization/Distributive property
5) ![\left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right]](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B1%7D%7B3%7D%20%5Cright%29%5Ccdot%20%28x%2B4%29%5Ccdot%20%28x%2B2%29%5Ccdot%20%5Cleft%28%5Cfrac%7Bx-4%7D%7Bx-4%7D%20%5Cright%29%5Ccdot%20%5Cleft%5B%5Cfrac%7Bx-5%7D%7B%28x-5%29%5E%7B2%7D%7D%20%5Cright%5D)
Modulative and commutative properties/Associative property
6) /
/Definition of division/Result
Answer:
Step-by-step explanation:
when x = 5
x² + 8
= (5)² + 8
= 25 + 8
= 33
Answer:
The first thing you should do for this case is to draw the ordered pairs in the plane and join the points.
The area you are looking for is the area of a rectangle plus the area of a triangle.
Thus, the total area will be
At = (8) * (4.5) + (1/2) * (4) * (2.5) = 41
answer
the area of the city is 41 units^2
Step-by-step explanation:
41 square miles If you draw the outline of the city, you'll realize that if you draw a line from point B to point D, that you can subdivide the city into a triangle and a trapezoid. After performing the division, you can then calculate the area of both polygons and the add their areas together. So first, let's deal with the trapezoid ABDE. The area of a trapezoid is the average of the length of the parallel sides multiplied by the height. The parallel sides are AB and DE. So: ((18-10)+(14-10))*(9-4.5)/2 =(9 + 4)*(4.5)/2 = 12*4.5/2 = 27 Now for the area of triangle BCD. The area of a triangle is 0.5*b*h where b is the base and h the height. I'll use BC as the base and the distance from BC to D as the height. So: (9-2)*(18-14)/2 = 7*4/2 = 14 And now to add the areas. 27 + 14 = 41 So the area of the city is 41 square miles. Note: The subdivision used is not the only possible subdivision, just one of the easier ones. I could have divided the city area into 3 triangles ABE, BDE, and BCD and solved it that way instead. It was just a happy coincidence that AB and DE were parallel and as such I was able to use trapezoid ABDE instead of the two triangles ABE and BDE.
