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Usimov [2.4K]
3 years ago
7

Drag and drop each number into the correct box to tell wheter it is rational or irrational

Mathematics
1 answer:
Vlad [161]3 years ago
3 0
Haven't you tried to answer these yourself?

Let me give you 2 examples:

First:  The product of sqrt(2) and sqrt(25) is 5sqrt(2), which is irrational because sqrt(2) is irrational.

Second:  2pi*r evaluated at pi^(-1) is rational because pi/pi = 1 and 2 itself is rational.

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3 years ago
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with
soldier1979 [14.2K]

The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

<h3>Probability</h3>

a. Distribution

X ~ N (20 , 6)

b. P(x ≤24)

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=0.7486

Hence:

Probability = 0.7486

c. P(21 < x < 26)

= P[(21 - 26)/ 6) < (x - μ  ) / σ   < (24 - 20) / 6) ]

= P(-0.83 < z < 0.67)

= P(z < 0.67) - P(z < -0.)

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Hence:

Probability =0.54527

d. Using standard normal table ,

P(Z < z) = 66%

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Using z-score formula,

x = z×  σ +  μ

x = 0.50 × 6 + 20 = 23

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Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

Learn more about probability here:brainly.com/question/24756209

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2 years ago
The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the f
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Answer:

First option

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Step-by-step explanation:

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