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2 years ago

What is the interval notation for the compound inequality? x≤−5 or x>4

Mathematics

1 answer:

Hoochie [10]2 years ago

5 0

Answer:

$(-\infty, -5] \cup (4,\infty)$

Step-by-step explanation:

The symbol $\cup$ is set notation for UNION--put two sets together into one set.

The first part of the interval notation describes x less than or equal to -5 -- notice the bracket symbol after -5, meaning include -5.

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2 years ago

If angle A is 4x+2 and angle B is 11x, what is the value of x? (round to the nearest tenth)

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1 year ago

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Charlie tosses five coins.What is the probability that all five coins will land tails up.

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Step-by-step explanation:

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3 years ago

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What are the leading coefficient and degree of the polynomial?

MissTica

Answer:

leading coefficient: 2
degree: 7

Step-by-step explanation:

The degree of a term with one variable is the exponent of the variable. The degrees of the terms (in the same order) are ...

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2x^7 -7x^6 -18x -4

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Additional comment

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3 years ago

A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste

Oxana [17]

Given that X be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02

Part A:

The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

 $P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455$


Part B:

The mean of a binomial distribution is given by

 $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$

The standard deviation is given by:

 $\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668$


Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.

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3 years ago