PLEASE HELP, WILL GIVE BRAINLIEST

-7 2/3 + -5 1/2+ 8 3/4 PLZZZZZ HELP ME!!!!!!!!!!!!!!

tatiyna

Answer:

-4.416 repeating

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p

skelet666 [1.2K]

Answer:

$\mathbf{P(X=5) =0.0888}$

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

$\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}$

$\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}$

where;

n = 8 and π = 0.36

For x = 5

The probability $\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}$

$\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =0.0887645}$

$\mathbf{P(X=5) =0.0888}$ to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5) $\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})$

${P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +$ $\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )$

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1 - P( x ≤ 5 )

P ( x ≥ 6) = 1 - 0.9707

P ( x ≥ 6) = 0.0293

4 0

3 years ago

Based on past experience, a building contractor sets the

Leni [432]

Based on the cost of the contract and the probability to win it, the total expected value of the contract proposal is -$2500.

<h3>How to calculate the expected value of a contract proposal?</h3>

The general formula to calculate the expected value is:

Expected value: possibility of winnind the contract x the amount when winning - possibility of loing the contract x possible loss

Possibility of winning the contract= 0.10
Possibility of losing the contract = 0.90
Gain: $65000
Loss: $10000

<h3>What is the expected value of the contract?</h3>

Expected value: 0.10 x 65000 - 0.90 x 10000
Expected value: 6500 - 9000
Expected value: -$2500

Learn more about contract in: brainly.com/question/2669219

#SPJ1

6 0

3 years ago

At the movie theater, child admission is $5.10 and adult admission is $9.50. On Monday, 173 tickets were sold for a total sales

NeTakaya

Answer:

7.541618497

Step-by-step explanation:

4 0

3 years ago

Annabel has 25 ounces of a 20% boric acid solution which she wishes to dilute to a 10% solution. How much water does she have to

yanalaym [24]

Answer: 25 ounces

Step-by-step explanation:

The equation would be 0.2∙25+0∙x=0.1(25+x) because 20% of boric acid would be = to 0.2. water doesn't have any acid in it so it would be 0. since annabel wants a 10% solution that would mean that the total about would be 0.1 of boric acid. The ounces she needs for the 0.2 boric acid solution is 25 while the other is unknown so that would be x. when you put them together it would be 25+x. then you just multiply the ounces and the acid together and you get 0.2∙25+0∙x=0.1(25+x). when you solve it it would be x=25.

7 0

3 years ago