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2 years ago

Find the surface area. HELP PLEASE!!!

Mathematics

1 answer:

beks73 [17]2 years ago

5 0

answer:

219

Step-by-step explanation:

(base * height) + length (4 + 5 + 6)

24 + 13 (15)

219

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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

Please help me answer ASAP!!!

Elodia [21]

X^2+3x-28

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4 years ago

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Ratling [72]

Answer:

Angles B and H= Alt exterior angles

Angles D and C= Adjacent angles

Angles B and F= Corresponding angles

Angles C and E= Alt interior angles

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3 years ago

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Norma-Jean [14]

To get the area of a rectangle, multiply the side lengths.
Our side lengths of this rectangle is 1/2 and 3/4, so let's multiply them.

$\dfrac{1}{2} * \dfrac{3}{4} = \dfrac{3}{8}$

Thus, the area of this rectangle is 3/8 ft². I hope this helps! :)

~AgentCozmo4, Moderator

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3 years ago

A card is drawn from a standard 52 card deck.What is the probability that the card is a red 8, given that the card is an 8?

Olenka [21]

Answer:D

Step-by-step explanation:

You know that the card picked is an 8, so forget the rest of the deck (they are trying to trick you into thinking it is 2 cards out of 52 cards). So there are 4 8's in a deck. 2 are red, 2 are black. You have a 2/4 chance of pulling a red. 2/4 = 1/2

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3 years ago

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Find the surface area. HELP PLEASE!!!​

Find the surface area. HELP PLEASE!!!