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Snezhnost [94]
3 years ago
8

Is there always an “invisible” 1 in front of every variable? I need this for a math assignment, thanks.

Mathematics
1 answer:
vivado [14]3 years ago
8 0

Answer:

yes

Step-by-step explanation:

In front of every variable there is an invisible one which is being multiplied by the variable. This doesn't affect the variable because anything times one is still itself. The most common usage of the one is when combining like terms such as x+x. Since the equation is really 1x+1x, it would be 2x.

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With a little care, you can find the median and the quartiles from the histogram. what are these numbers? you can also find the
coldgirl [10]

Complete Question

The histogram from this question is shown on the first uploaded image

Answer:

The first quartile is  1st Q = 19^{th} girl (subject ) = 1 \serving\ of\ fruit\ per\ day

The median is   Median  = 38 ^{th} \ girl (subject) =  2 \serving\ of\ fruit\ per\ day

The third quartile  is 3rd Q =  56^{th} \  girl (subject) = 4 \serving\ of\ fruit\ per\ day  

The  mean is  \= x = 2.62

Step-by-step explanation:

From the question we are told that

   The total  number of girls is n =  74

Generally the median is mathematically represented as

       Median  =  \frac{\frac{n}{2}  +[ \frac{n}{2} + 1]  }{2}

So

          Median  =  \frac{\frac{74}{2}  +[ \frac{74}{2} + 1]  }{2}

=>         Median  =  \frac{37  +38 }{2}

=>         Median  =37.5 \  girl    

From the histogram 37.5 \approx 38^{th} \ girl fall under 2 fruits per day

Generally the first quartile is mathematically represented as

      1st \ Q =  \frac{\frac{n}{4} + [\frac{n}{4} + 1]  }{2}

=>    1st \ Q =  \frac{\frac{74}{4} + [\frac{74}{4} + 1]  }{2}

=>     1st \ Q = 19 \  girl

From the histogram 19^{th}girl fall under 1 fruit per day

 Generally the third quartile is mathematically represented as

     3rd\  Q =  \frac{\frac{n}{2}  + n }{2}

=>    3rd\  Q =  \frac{\frac{74}{2}  + 74 }{2}

=>    3rd\  Q =  55.5

From the histogram 55.5 \approx 56^{th} \ girl fall under 4 fruits per day

Generally from the histogram table the frequency  [number of subjects (girls) ]  and the servings of fruit per day can be represented as

                                                                                                               Total

x(servings per day )        0     1     2     3     4     5    6     7      8    

f (number of subjects )   15    11   15     11    8     5    3     3      3    \sum f  =  74

xf                                       0    11    30   33   32  25   18   21     24    \sum xf =  194

Generally the mean is mathematically represented as

      \= x = \frac{1}{ \sum f}  * [\sum xf]

=>     \= x = \frac{1}{ 74}  *194

=>      \= x = 2.62

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Skee ball is a game played by rolling a wooden sphere up a ramp into a series of rings. The wooden ball has a surface area of ab
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<u><em>Answer:</em></u>

Radius of the ball is approximately 6.5 cm to the nearest tenth

<u><em>Explanation:</em></u>

The ball has the shape of a sphere

<u>Surface area of a sphere can be calculated using the following rule:</u>

Surface area of sphere = 4πr² square units

<u>In the given problem, we have:</u>

Surface area of the ball = 531 cm²

<u>Substitute with the area in the above equation and solve for the radius as follows:</u>

531 = 4\pi r^2\\ r^2=\frac{531}{4\pi } = 42.255 \\ \\ r=\sqrt{42.255}=6.5004 cm which is approximately 6.5 cm to the nearest tenth

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