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victus00 [196]
3 years ago
5

What is the sum and classification of 3/10 and square root of 10

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0
3/10 is a rational number, but sqrt(10) is not (it's irrational).

Thus, the sum of these two quantities is also irrational.

3/10 + sqrt(10) cannot be simplified further.

However, you could express both in decimal fraction notation and obtain the approx. sum:

0.3 + 3.162 = 3.462 (approx)


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That would be  d or  f  answer.

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US average math SAT scores follow a normal distribution with a mean of 505 and a standard deviation of 112. A sample of 64 enter
Hitman42 [59]

Answer:

The claim that the scores of UT students are less than the US average is wrong

Step-by-step explanation:

Given : Sample size = 64

           Standard deviation = 112

           Mean = 505

           Average score = 477

To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.

Solution:

Sample size = 64

n > 30

So we will use z test

H_0:\mu \geq 477\\H_a:\mu < 477

Formula : z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

z=\frac{505-477}{\frac{112}{\sqrt{64}}}

z=2

Refer the z table for p value

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Hence The claim that the scores of UT students are less than the US average is wrong

3 0
3 years ago
There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes
worty [1.4K]
For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.

20(1.15),  20(1.15)², 20(1.15)³,

Function  = 20(1.15)^n      Where n is at the end of year, n =1, 2, 3, ..

Snakes are increasing by 4.

28, 32, 36,....

Function =  24 + 4n          n = number of end year,      n =1, 2, 3,...

<span>B) After 10 years:              </span>
Parrot =  20(1.15)¹⁰    = 80.91115471

Snakes =  24 + 4(10) = 64

<span>C) After what time they are the same: </span>
We use trial and error:


Test:  n                             20(1.15^n)                        (24 + 4n)
          1                                    23                                   28
          2                                    26.45                              32
<span>          3                                    30.41                             36    </span>
          4                                    34.98                              40
          5                                    40.23                              44
          6                                    46.26                              48
          7                                    53.20                              52
          8                                    61.18                              56
          9                                    70.36                              60

After year 7, the Parrots increases far more.
<span>At year 7 they are roughly the same.</span>
8 0
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kumpel [21]
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-5y=-2x divide both sides by -5

y=2.5x

So this is a direct variation with a constant of 2.5
5 0
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