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lawyer [7]
3 years ago
12

In a particular game of​ chance, a wheel consists of 42 slots numbered​ 00, 0,​ 1, 2,...,40. To play the​ game, a metal ball is

spun around the wheel and is allowed to fall into one of the numbered slots. Determine the sample space for one spin of this game.
Mathematics
1 answer:
Nikolay [14]3 years ago
6 0

Answer:

The sample space for one spin of this game is: S = {00, 0, 1, 2, 3,…, 40}

Step-by-step explanation:

Consider the provided information.

In probability theory, the set of all possible outcomes or outcomes of that experiment is the sample space of an experiment or random trial. Using set notation, a sample space is usually denoted and the possible ordered outcomes are identified as elements in the set.

Here the possible number of elements in the set are 00, 0, 1, 2,...,40

The sample space is anything the ball can land on.

Thus, the sample space for one spin of this game is: S = {00, 0, 1, 2, 3,…, 40}

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Including all real and imaginary zeros and taking multiplicities into account, every equation of degree n has exactly n roots
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3 years ago
What is the solution for the equation 8x − 12 = 4x? x = ___. (Input whole number only).
seropon [69]
8x - 12 = 4x
8x - 4x = 12
4x = 12
x = 12/4
x = 3
8 0
3 years ago
A consumer advocacy group wants to determine whether there is a difference between the proportions of the two leading automobile
podryga [215]

Answer:

The answer is "0.3206".

Step-by-step explanation:

H_0: p_1 = p_2\\\\H_a: p_1 \neq  p_2\\\\\hat{p_1} = \frac{X_1}{N_1} = \frac{53}{400} = 0.1325\\\\\hat{p_1}= \frac{X_2}{N_2} = \frac{78}{500}= 0.156\\\\\hat{p} = \frac{(X_1 + X_2)}{(N_1 + N_2)} = \frac{(53+78)}{(400+500)} = 0.1456

Testing statistic:

z = \frac{(\hat{p_1}- \hat{p_2})}{\sqrt{(\hat{p} \times (1-\hat{p}) \times (\frac{1}{N_1} + \frac{1}{N_2}))}}

=\frac{(0.1325-0.156)}{\sqrt{(0.1456\times (1-0.1456)\times (\frac{1}{400} + \frac{1}{500}))}}\\\\ = -0.99

Calculating the P-value Approach

\text{P-value}= 0.3206

7 0
3 years ago
the contractor demands a working temperature of 82 degrees Fahrenheit. what is the equivalent temperature in degrees Celsius
stiks02 [169]

Answer:

27.8 Celsius

Step-by-step explanation:

The equation to convert Fahrenheit and Celsius is:

F = (9/5)C + 32

82 = (9/5)C + 32 -- subtract 32 from both sides

50 = (9/5)C -- multiply both sides by 5

250 = 9C -- divide by 9

27.777 = C

round up to 27.8 C

7 0
3 years ago
Pedro is doing math exercises from a software program he recently purchased. In the program, you have to get at least 70% of the
Nookie1986 [14]
The inequality would be
0.75q ≥ 0.70(q+1)

q is defined as the number of questions he answers after the first one.  We are told he gets 75% of those correct; 75%=75/100=0.75.  This gives us 0.75q.

Since he gains proficiency on the exercises, the total number he gets correct has to be at least 70%.  This means the inequality would have the symbol greater than or equal to, as it cannot be less and have him gain proficiency.

He has already answered 1 question and answers q more; this gives us a total of q+1.  Since he gains proficiency, the cutoff was 70%; 70%=70/100=0.70.  This gives us the expression 0.70(q+1).

Our total inequality would then be 0.75q ≥ 0.70(q+1)
3 0
3 years ago
Read 2 more answers
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