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azamat
3 years ago
6

172,800 in scientific notation

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0

Answer:

1.728 x 10^5

Step-by-step explanation:

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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
Which number line would best model the quotient 3/4 divided by 6?​
slava [35]
I think it’s D I hope this helps!!!
6 0
2 years ago
Find the volume of a right circular cone that has a height of 18.9 in and a base with a
Dmitriy789 [7]

Answer:

The volume of the cone is:

  • <u>112.6 cubic inches.</u>

Step-by-step explanation:

You should know that the volume of a straight circular cone is equal to:

  • Cone volume = (1/3) PI * r ^ 2 * h

Where:

<em>r = radius. </em>

<em>h = height. </em>

Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:

  • Circumference = PI * Diameter.

When clearing you get:

  • Diameter = circumference / PI

By replacing the data you get:

  • Diameter = 15 inches / PI
  • Diameter = 4.77 inches.

Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:

  • Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in
  • Cone volume = 112.581541 in^3
  • <u>Cone volume = 112.6 in^3</u>
3 0
2 years ago
A washer and dryer cost $750 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?
krok68 [10]
Washer=500
dryer=250
8 0
3 years ago
Read 2 more answers
Question 7: Find the value of x. The numbers below are in degrees.<br> 140<br> S<br> 50<br> 20
Lyrx [107]

Given:

A figure.

To find:

The value of x.

Solution:

Draw two parallel lines as shown in the below figure.

If a transversal line intersect two parallel lines, then alternate interior angles are same.

a=20              (Alternate interior angle)

d=b              (Alternate interior angle)           ...(i)

The value of angle d is

d=50-a

d=50-20

d=30

Using (i), we get

b=30

If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.

c+140=180

c=180-140

c=40

Now,

x=b+c

x=30+40

x=70

Therefore, the value of x is 70.

8 0
2 years ago
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