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Margaret [11]
3 years ago
8

Is the following statement true or false? The intersection of a plane and a ray can be a line segment.

Mathematics
1 answer:
Alona [7]3 years ago
8 0

Answer:

False

Step-by-step explanation:

<em>Is the following statement true or false? </em>

<u>The intersection of a plane and a ray can be a line segment.</u>

  • It is false. Correct one is the point.
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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]

4 0
3 years ago
How many times does 25 go into 63
statuscvo [17]

Answer:

2 times

Step-by-step explanation:

25 x 2 is 50. And 25 x 3 is 75, and 75 is larger then 63.

5 0
3 years ago
In the diagram, JK || GI. If the ratio of HJ to JG is 3 to 1, then what is the ratio of HK to KI?
Ket [755]
Don’t click that is a scam to get your cookies
5 0
3 years ago
Which algebraic expression is equivalent to the expression below? 8(5x + 1) + 3(9 - x) A. 37x - 35 B. 37x + 19 C. 37x + 35 D. 43
brilliants [131]

Answer:

C. 37x + 35

Step-by-step explanation:

8(5x  + 1) + 3(9 - x) \\  \\40x + 8 + 27 - 3x \\ 40x - 3x + 27 + 8 \\ 37x + 35

5 0
2 years ago
Option 1: $30 an hour plus a nonrefundable deposit of $50
Aleks [24]

Answer:

to be honost i am in 8th grade but i realy like you and your the first person i like in a lot of time

Step-by-step explanation:


4 0
3 years ago
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