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2 years ago

Solve for s. 3 = s - 2 s=

Mathematics

2 answers:

Alexxx [7]2 years ago

6 0

Answer:

3 = s - 2

s = 3 - 2

s = 1

what was hard lol

elena55 [62]2 years ago

3 0

The answer is 5 because 5-2=3. S=5

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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

1. Ima Thief robs a bank and takes off in a getaway car. Five minutes Polly Srule takes off after Ima.

chubhunter [2.5K]

Answer:

a. 12 minutes

b. 34 minutes

Step-by-step explanation:

Here, we are told that Ima has driven 5 minutes before Polly started driving

So if Ima has driven for x minutes , polly would have driven for y minutes but the difference between x and y is 5

So mathematically;

x = y + 5

a. 17 = y + 5

y = 17-5 = 12 minutes

b. x = 29 + 5

x = 34 minutes

8 0

3 years ago

The line with the slope of -8 passing through (-11,7)

Dahasolnce [82]

Slope intercept form y = -8x - 81
Point slope form (y - 7) = -8 (x + 11)

5 0

3 years ago

Select the correct answer. y - 6 = 4( x - 4) Which of the following shows a graph of the equation above?

geniusboy [140]

Answer:

One of the points will be at (0,-10)

One of the points will be at (5/2,0)

The slope is 4

Step-by-step explanation:

Just look at a graph that has the points close to the ones at the top. Good luck, and have a nice day.

8 0

3 years ago

What’s the answer !?

svetoff [14.1K]

Answer:

Step-by-step explanation:

16(³/⁴) =

= (2⁴)(³/⁴)

= 2⁴ˣ³/⁴

= 2³

= 8

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3 years ago