How do i do this problem?
How do i do this problem? - 1

Answers

Answer 1
Answer: The sum of the interior angles of any regular polygon is (n - 2) X 180
30 = n
[(30) - 2] × 180
28 X 180
5040

The interior angle of a regular polygon = the sum of interior angles ÷ number of sides
5040 ÷ 30 = 168

Therefore the measure of each interior angle in a regular 30-sided polygon is 168°

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Find the expected value of the winningsfrom a game that has the following
payout probability distribution:

Answers

Answer:

The expected value is $3.95

Step-by-step explanation:

Here, we want to get the expected value

Mathematically, what we have to do here is to multiply each of the probabilities by the pay out value, before we proceed to add up

We have this as;

0(0.5) + 0.2(5) + 0.15(8) + 10(0.1) + 15(0.05)

= 0 + 1 + 1.2 + 1 + 0.75 = 3.95

Answer:

3.00

Step-by-step explanation:

Given that :

Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10

Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05

Expected value :E(X) = ΣX* p(x)

E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)

E(X) = 3

Expected value = 3.00

A boat costs $12,050 and decreases in value by 12% per year. How much will the boat be worth after 9 years?A $33,415.60
B $3,813.56
C $11,942.00
D $3,355.94

Answers

B $3,813.56 is the correct answer

1 year = $10,604
2 years = $9,331.52
3 years = $8,211.74
4 years = $7,226.33
5 years = $6,359.17
6 years = $5,596.07
7 years = $4,924.54
8 years = $4,333.60
9 years = $3,813.56









For this case we have the following expression:

y = A (b) ^ x

Where,

  • A: initial value
  • b: rate of change
  • x: number of years
  • y: future value

Therefore, replacing values we have:

y = 12050 * (0.88) ^ 9\ny = 3813.56

Answer:

The boat will be worth after 9 years about:

B $ 3,813.56

What is the probability that a five-card poker hand contains the two of diamonds and the three of spades?(Note: Enter the value in decimal format and report it to four decimal places.)

Answers

The total probability is 52 choose 5, which is 2598960
Then we multiply the combinations of two diamonds and 3 spades, which is 13 choose 2 times 13 choose 3. That is 22308.
Then we divide to get the decimal. 22308/2598960 is 0.00858343337

You can buy 2 songs on I-Tunes for $ 2.58, or 3 songs for $ 3.87. Write an equation to show the relationship between the number of songs, s, and the total cost, c.

Answers

Answer:

for the first pack, 1 Itune song would be 1.29 and for the other pack, for one Itune song would be 1.29 also, the relationship between these problem is that they are the same price for 1 song. The total cost for 1 is $1.29 hope this helps, have a great day! ツ

Step-by-step explanation:

Write the quadratic equation whose roots are-1 and 6, and whose leading coefficient is 4

(Use the letter to represent the variable.)
?=0

Answers

The quadraticequation is 4x² - 20x - 24 = 0 whose roots are-1 and 6.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

The roots are given in the question, as follows:

-1 and 6

As we know that the standard quadratic equation ax² + b x + c = 0.

Since the leading coefficient of the quadratic equation is 4

So, a = 4

The sum of roots = -b/a

-1 + 6 = -b/4

5 = -b/4

b = -20

The multiplication of roots = c/a

-1 × 6 = c/4

c = -24

So, the quadratic equation is 4x² - 20x - 24 = 0.

Learn more about quadratic function here:

brainly.com/question/14083225

#SPJ2


You've got a=4

-b/a=sum=-1+6=5 so b=-20

c/a=product=-1*6=-6 so c=-6

Final equation: 4x^2-20x-6=0

You arrive in Mexico City with $580. How many pesos can you buy?

Answers

Answer: 11,600 Mexican pesos

Step-by-step explanation:

To determine how many pesos you can buy with $580, you need to know the current exchange rate between the US dollar (USD) and the Mexican peso (MXN). Exchange rates fluctuate, so it's important to check the most up-to-date rate.

Let's assume that the current exchange rate is 1 USD = 20 MXN.

To calculate how many pesos you can buy, you would multiply the amount of dollars you have by the exchange rate:

$580 * 20 MXN/USD = 11,600 MXN

Therefore, with $580, you can buy 11,600 Mexican pesos (MXN). Please note that exchange rates may vary, so it's always a good idea to check the current rate before making any conversions.