What is the sum when two opposites are combined?

Mathematics

2 answers:

Dafna11 [192]3 years ago

3 0

When two opposites are combined the sum is always Zero

brilliants [131]3 years ago

3 0

Answer:A number and its opposite are called additive inverses of each other because their sum is zero. The opposite of a sum of real numbers is equal to the sum of the opposites.

Step-by-step explanation:

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According to a 2009 Reader's Digest article, people throw away approximately 13% of what they buy at the grocery store. Assume t

OverLord2011 [107]

Answer:

The probability that the sample proportion exceeds 0.16 is 0.2061.

Step-by-step explanation:

We are given that according to a 2009 Reader's Digest article, people throw away approximately 13% of what they buy at the grocery store.

You plan to randomly survey 101 grocery shoppers to investigate their behavior.

Let $\hat p$ = sample proportion

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample population = 0.16

n = sample of grocery shoppers = 101

Now, the probability that the sample proportion exceeds 0.16 is given by = P( $\hat p$ > 0.16)

P( $\hat p$ > 0.16) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{0.16-0.13}{\sqrt{\frac{0.16(1-0.16)}{101} } }$ ) = P(Z > 0.82) = 1 - P(Z $\leq$ 0.82)