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andrew11 [14]
2 years ago
5

Grace is 7 years older than Elena. Grace is also 15 years old.

Mathematics
1 answer:
Alex73 [517]2 years ago
4 0
The 3rd one is the answer
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100 random samples were taken from a large population. A particular numerical characteristic of sampled items was measured. The
Marta_Voda [28]

Answer:

The median is Median  =  0.903

Step-by-step explanation:

From the question we are told that  

   The sample size is n =  100

   The  1^{st} \to 45^{th} measurements is  =  0.859 \to   0.900

    Generally since that after 0.900 we have  0.901 , then the

     46^{th} \  measurement \  is  \  0.901

in the same manner the  47^{th} \  measurement \  is  \  0.902,

Given that 0.902  was observed three times it means that

                                         47^{th},48^{th},49^{th}  \  measurement \  is  \  0.902,

Given that 0.903  was observed two times it means that

                                          50^{th},51^{th} \  measurement \  is  \  0.903,

Given that 0.903  was observed four times it means that

                                         52^{nd},53^{rd},54^{th},55^{th} \  measurement \  is  \  0.904,

Given that the highest measurement is  0.958 then then the  56^{th} \to  100^{th} \  measurement \  is  \  between \  0.905 \to 0.958

Generally the median is is mathematically represented as

            Median  =  \frac{ [\frac{n^{th}}{2}]  + [(\frac{n}{2})^{th} + 1 ]}{2}

=>        Median  =  \frac{ [\frac{100^{th}}{2}]  + [(\frac{100}{2})^{th} + 1 ]}{2}

=>        Median  =  \frac{ [50^{th}]  + [51^{th} ]}{2}

=>        Median  =  \frac{ 0.903 + 0.903}{2}

=>        Median  =  0.903

8 0
2 years ago
The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planet's mean distance fro
Dafna11 [192]

Answer:

Ty = √k  * Tx

The orbital period of Y has to be be multiplied by √k .   or . k∧1/2

Step-by-step explanation:

The general equation:

T² = A³

is for the case of planet X

Tₓ² = Aₓ³

In the case of planet Y

Ty² = k * Aₓ³ .     and   Aₓ³ = Tₓ²

By substitution:

Ty² =  k *Tₓ²

Ty = √k  * Tx

3 0
2 years ago
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences. Graph showing
nika2105 [10]

Answer:

  (x, y) = (1, 5)

Step-by-step explanation:

The solution is where the graphs intersect. Your problem statement says that solution point is ...

  (x, y) = (1, 5)

4 0
2 years ago
Which multiplication fact can help you find 24 divided 4?
tia_tia [17]

The multiplication fact that can help you find 24 divided by 4 is 4 x 6.

5 0
2 years ago
What is the length of the other diagonal DF?<br> 5 cm<br> 16 cm <br> 21 cm <br> 32 cm
frez [133]
To solve this you need to know Pythagorean theorem.

First, EG is 24, so the halfway points are 12. Knowing Pythagorean triples, you can use 5,12,13 and 12,16,20.

DF = 5+16
DF = 21

If you don't know Pythagorean triples, I have worked it out on the image attached.

3 0
2 years ago
Read 2 more answers
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