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3 years ago

Which categories below apply to the following number (there may be more than one answer)

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

5 0

Answer:

irrational, whole number, and integer

Step-by-step explanation:

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which of the following numbers is lowest or furthest to the left on the number line 48, 95, 21, 64, 53

Tamiku [17]

Answer: I am not to sure but I believe that the correct answer is 21

Step-by-step explanation: I believe this is the correct answer because on the number line the numbers generally follow a sequenced order beginning with the lowest number and increasing towards larger numbers. The lowest number in this question is 21 and in the American systems we read left to right causing the number line to begin with the lowest number from the left and going to the right. The order would be 21, 48, 53, 64, 95.

3 0

2 years ago

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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

2 years ago

Visit the official Florida _____ page to find all the driving laws and information you need to know for the Class E knowledge ex

Nata [24]

Answer:

Where can I find specific information on Florida driving laws? Visit the official Florida driver's handbook page to find all of the driving laws and information you need to know for the Class E knowledge exam.

Step-by-step explanation:

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2 years ago

The distance between the points (-2, -4) and (3,8) is?

forsale [732]

Answer:

(5,4)

Step-by-step explanation:

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2 years ago

To be able to do the problem 5(10 + 4) mentally, Zack does 50 + 20 instead of 5(14).

Eddi Din [679]

Answer:

1. Distributive

Step-by-step explanation:

This is because you multiply the number outside the parentheses into the numbers inside the parentheses.

Hope it helped.

8 0

2 years ago

Read 2 more answers