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Vera_Pavlovna [14]

3 years ago

11

Use the spinner to find the theoretical probability of the event. A spinner is divided into 6 equal sections. Starting from the

top and moving clockwise direction, the sections are labeled 1 and shaded blue, 2 and shaded purple, 3 and shaded red, 4 and shaded yellow, 5 and shaded green, and 6 and shaded red. The spinner pointed at 1 near the boundary line of 2. The theoretical probability of spinning an odd number is .

1 answer:

REY [17]3 years ago

6 0

Answer:

Theoretical probability of spinning an odd number = 0.5

Step-by-step explanation:

Theoretical probability of spinning an odd number is given as

(Number of odd numbers in the sample space)/(total number of numbers in the sample space)

Number of odd numbers in the sample space = 3

Total number of numbers in the sample space = 6

probability of landing on an odd number = (3/6) = 0.5

Theoretical probability of spinning an odd number = 0.5

Hope this Helps!!!

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Answer:

$\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}$

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): Complete the table

Let

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From the table question, we have:

$(x_1,y_1) = (0,1)$

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So, the other values are:

$(x_4,y_4) = (3,8)$

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So, the complete table is:

$\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}$

Solving (b): The graph

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$y = ab^x$

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This gives:

$y = ab^x$

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This gives:

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$16 = b^4$

$16 \to 2^4$

So:

$2^4 = b^4$

Cancel the exponents (4)

$2 =b$

$b = 2$

So, the function $y = ab^x$ is:

$y = 2^x$

<em>See attachment 2 for graph</em>

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