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Vsevolod [243]
3 years ago
9

NEED HELP ASAP 20 POINTS

Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

Hello there!

1. The theoretical possibility of spinning every number out of the 200 spins is approximately to the nearest whole number: 16 times. We found that by dividing 200 by 12 to see how many of each number could fit in 200. 200 divided by 12 equals 16.666 but we can't spin a number 16.6 times so we have to round it to the nearest whole number that stays in the range of 200.

2.

i. The experimental probability of spinning a 1 is 20/200 or 1/10.

ii. The experimental probability of spinning an 8 is 30/200 or 3/20.

iii.  The experimental probability of spinning an 11 is 2/200 or 1/100.

3.  The numbers on the spinner that has a greater experimental probability than the theoretical probability is: 1,2,5,6,8, and 9.

Experimental probabilities:

2: 18/200 or 9/100

5:  17/200

6:  26/200 or 13/100

9:  18/200 or 9/100

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Sketch the region that is common to the graphs of x ≥ 2,
Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

  • The graph of x ≥ 2 is the region right of the line x = 2.
  • The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
  • To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

  • height = 4 units and
  • base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

#SPJ1

6 0
2 years ago
What is the explicit rule for the geometric sequence?<br> 600, 300, 150, 75, ...
pochemuha

Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}

So, the explicit formula is for n

\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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