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3 years ago

"find values of a and b that make the statement |a+b|=|a| + |b| false"

Mathematics

2 answers:

Ann [662]3 years ago

7 0

Answer:

a=Any negative number

b=Any positive number

or a=Any positive number and b=Any negative number

Step-by-step explanation:

We are given that two numbers a and b

We have to find the values of a and b that make the statement $\mid a+b\mid=\mid a\mid+\mid b\mid$ false.

Suppose a=5 and b=-6

$\mid 5-6\mid=\mid 1\mid=1$

$\mid 5\mid +\mid -6\mid=5+6=11$

$\mid 5-6\mid \neq \mid 5\mid+\mid-6\mid$

$\mid a+b\mid \neq \mid a\mid +\mid b\mid$

When a be any negative number and b be any positive number or a be any positive number and b be any negative number then it will make given statement false.

Hence, the given statement is false.

kotegsom [21]3 years ago

6 0

Just choose any combination so that a is negative and b is positive, and vice versa. For example, if a = 3 and b = -6, |3-6| ≠ |3| + |-6|.
This is because |-3| = 3, and |3|+|-6| = 3+6 = 9.
3≠9.

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qwelly [4]

Answer: The probability that both televisions work is 0.5625 .

The probability at least one of the two televisions does not work is 0.4375.

Step-by-step explanation:

Given : Number of televisions received in shipment= 12

Number of defective televisions received in shipment= 3

Then proportion of defective televisions = $\dfrac{3}{12}=0.25$

Using binomial probability formula, the probability of getting success in x trials is given by :-

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The probability at least one of the two televisions does not work will be :-

$P(x\geq1)=1-P(0)=1-0.5625=0.4375$

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3 years ago

it's believed that as many as 2222% of adults over 50 never graduated from high school. we wish to see if this percentage is t

jenyasd209 [6]

The given values are:

p = 22% = 0.22

Zc = 1.645 at 90% confidence level.

margin of error, E = 0.04

The formula we can use here is:

E = sqrt(pq/n) * Zc

0.04 = sqrt(0.22*(1-0.22)/n)*1.645

n = (0.22*(1-0.22))*(1.645/0.04)^2

n = 290.22

hence minimum sample size = 290

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