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Greeley [361]
3 years ago
8

10 raised to negative 3 in standard notation

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0
Standard notation simply means the normal way or writing numbers.
10^-3= 1/10^3
1/10^3=1/1000
1/1000=0.001
Final answer: 0.001
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Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.
statuscvo [17]

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Suppose a basketball player has made 231 out of 361 free throws.

This means that p = \frac{231}{361} = 0.6399

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

E = -31*0.4095 + 21*0.5905 = -0.29

The expected value of the proposition is of -0.29.

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2 years ago
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timurjin [86]

Answer:

The answer is D

Step-by-step explanation:

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Average speed = 24 3/4 / 1 1/2 = 99/4 / 3/2 = 99/4 x 2/3 = 16 1/2 miles per hour.
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A volleyball uniform costs $13 for the shirt, $11 for pants, and $8 for socks. Write two equivalent expressions for the total cost of 12 uniforms. Then find the cost.  

Write an expression for the cost of 1 uniform, add $13, $11 and $8 .

$13+$11+$8

Write an expression for the cost of 12 uniforms, multiply 12 by the cost of 1 uniform.

12($13+$11+$8)

Simplify using the distributive property.

=12⋅13+12⋅11+12⋅8=156+132+96

Now Add.

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So, the total cost of 12 uniforms is $384 .

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The answer of this question is 4.1667

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