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3 years ago

0.00065 in Standard form

Mathematics

2 answers:

Rus_ich [418]3 years ago

4 0

I think you meant scientific form well the answer is 6.5 x 10^-4

umka2103 [35]3 years ago

3 0

Try 6.5x10^4
Pretty sure that’s it, If not I’m sorry!

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Use the function below to find f(4). F(x) = 3x

Sonja [21]

Since F(X) = 3^X,

F(4) = 3^4 = 81

5 0

3 years ago

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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.

3 0

2 years ago

[hurry please] What is the probability of spinning yellow on both spinners?

ehidna [41]

Answer:

1/3

Step-by-step explanation:

There are six options in total and two if these are yellow. therefore the answr us 2/6 which simplifies to 1/3 meaning the answer is 1/3.

7 0

2 years ago

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5. As two boats are coming to the end of a race, a top view of their positions is

Dafna1 [17]

The distance of the boat on the right to the finish line is 297.29 m and the distance of the boat on the left to the finish is 294.11 m, so the boat on the left will reach the finish line faster.

<h3>How do you know which boat will reach the finish line faster? </h3>

The image shows two triangles of which we know an angle and the value of the opposite leg. Therefore, we can perform a mathematical operation to know the value of the hypotenuse of these triangles, which would be the distance of the boats to the goal as shown below.

h = hypotenuse

Right Boat

Sen 22° = $\frac{110 m}{h}$

h = $\frac{110 m}{ Sin 22}$

h = $\frac{110 m}{0.37}$

h = 297,29 m

Left boat

Sen 20° = $\frac{100}{h}$

h = $\frac{|00 m}{ Sin 20}$

h = $\frac{100 m}{0.34}$

h = 294,11 m

According to the above, the distance of the boat on the left is less, so it can be inferred that this boat will reach the finish line faster.

Learn more about triangles in: brainly.com/question/2269348

8 0

2 years ago

Write two different pairs of negative integers x and y, that make the statement x-y=2 true.

Contact [7]

Answer:

x = -1

y = -3 or

x = -3

y = -5

Step-by-step explanation:

-1 - (-3) =

-1 + 3 = 2

-3 - (-5) =

-3 + 5 = 2

8 0

3 years ago

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