3 years ago

What is a rational number

1 answer:

8 0

Answer:

Rational numbers are numbers that can be written as fractions, unlike π, which never ends and cannot be expressed as a fraction.

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3 years ago

Ask Your Teacher Consider a binomial random variable with n = 5 and p = 0.8. Let x be the number of successes in the sample. Eva

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Answer:

0.942 is the required probability.

Step-by-step explanation:

We are given the following in the question:

x is a binomial random variable with n = 5 and p = 0.8.

Then,

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

We have to evaluate:

$P(x \geq 3) = P(x = 3) + P(x = 4) +P(x=5)\\\\= \binom{5}{3}(0.8)^3(1-0.8)^2 +\binom{5}{4}(0.8)^4(1-0.8)^1 +\binom{5}{5}(0.8)^5(1-0.8)^0\\\\= 0.2048 +0.4096+0.3276=0.942$

0.942 is the required probability.

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3 years ago

Solve the system of linear equations by substitution.<br><br> y = 2x + 8<br> y = -2x

posledela

Answer:

(- 2, 4 )

Step-by-step explanation:

y = 2x + 8 → (1)

y = - 2x → (2)

substitute y = 2x + 8 into (2)

2x + 8 = - 2x ( add 2x to both sides )

4x + 8 = 0 ( subtract 8 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

substitute x = - 2 into (2)

y = - 2(- 2) = 4

solution is (- 2, 4 )

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3 years ago

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Evaluate the following expression for w=4. w^-3 =

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W^-3
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1/64.

The solution is 1/64.

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3 years ago

One third divided by 4

MA_775_DIABLO [31]

Answer:

1/12

I used keep change flip.

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3 years ago

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