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Paul [167]
3 years ago
5

A ball is thrown up in the air from 5 feet above the ground level. The ball reached a height of an additional 6 feet in approxim

ately 4 seconds, and then came
down back to ground level in 5 more seconds. Which graph best represents the relationship between the height of the ball and the time?

Mathematics
1 answer:
Musya8 [376]3 years ago
6 0

Answer:it’s F

Step-by-step explanation:

It’s F

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3 years ago
-1/3 -(-5/12) which shows an equivalent addition expression
dem82 [27]

Answer:

-1/3 - (-5/12) = 1/12.

Step-by-step explanation:

Simpler equation:

6/12 + (-5/12) = 1/12

Or This:

6/12 - 5/12 = 1/12.

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3 years ago
It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo
BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

   

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{p(1-p)}{n} }

=>   \sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }

=>   \sigma  = 0.02612

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )

    P(X < 0.03) =  P( Z  < -2.297 )

From the z-table  

     P( Z  < -2.297 ) = 0.01

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

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