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Vlad1618 [11]
3 years ago
15

What is the range of possible sides for side x? The other two sides are 3.2 and 5.5

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

2.3 < x < 8.7

Step-by-step explanation:

Given 2 sides of a triangle then the 3rd side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

5.5 - 3.2 < x < 5.5 + 3.2

2.3 < x < 8.7

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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Nat2105 [25]

Answer:

Step-by-step explanation:

First choose two points on the line,

Let the points are A and B.

From point A to B we are moving downwards by (5 - 1 = 4 units)

Therefore, Rise = -4

Horizontal distance between A and B = 2 units

Therefore, Run = 2

Since, slope of a line = \frac{\text{Rise}}{\text{Run}}

Slope = \frac{-4}{2}

          = -2

7 0
2 years ago
Factor -1/2out of -1/2x+6
Volgvan
-\dfrac{1}{2}x+6=-\dfrac{1}{2}\left(\dfrac{-\frac{1}{2}x}{-\frac{1}{2}}+\dfrac{6}{-\frac{1}{2}}\right)=-\dfrac{1}{2}\left(x-\dfrac{6\cdot2}{1}\right)=\boxed{-\dfrac{1}{2}\left(x-12\right)}
3 0
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]

4 0
3 years ago
Can you guys please help me
makvit [3.9K]

Answer:

1302

Step-by-step explanation:

14 * 93 = 1302

4 0
3 years ago
Michael is riding his bicycle a distance of 2.5 miles to Jason's house. He has ridden 1.7 miles so far. If d = the distance in m
lesya692 [45]
The answer I believe would be c.
3 0
3 years ago
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