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3 years ago

I need help pls step by step i will really appreciate pls also l will mark you the brainly if you did !

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

Answer:

1. 2

2.3 $\sqrt{5}$

3.8 $\sqrt{6}$

4.2.5 $\sqrt{10}$

Step-by-step explanation:

Remember that $\frac{\sqrt{a}}{\sqrt{b}}$ = $\sqrt{\frac{a}{b} }$ , and $\frac{a}{\sqrt{b}}$ = $\frac{a}{\sqrt{b}}$ * $\frac{\sqrt{b}}{\sqrt{b}}$ = $\frac{a\sqrt{b}}{b}$

1. $\frac{\sqrt{48}}{\sqrt{12} }$ = $\sqrt{\frac{48}{12} }$ = $\sqrt{4}$ =2

2. $\frac{15}{\sqrt{5} }$ = $\frac{15}{\sqrt{5} }$ * $\frac{\sqrt{5}}{\sqrt{5} }$ = $\frac{15\sqrt{5} }{5}}$ =3 $\sqrt{5}$

3. $\frac{48}{\sqrt{6}}$ = $\frac{48}{\sqrt{6}}$ * $\frac{\sqrt{6}}{\sqrt{6}}$ = $\frac{48\sqrt{6}}{6}$ =8 $\sqrt{6}$

4. $\frac{25}{\sqrt{10}}$ = $\frac{25}{\sqrt{10}}$ * $\frac{\sqrt{10}}{\sqrt{10}}$ = $\frac{25\sqrt{10}}{10}$ =2.5 $\sqrt{10}$

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3 years ago

Which is greater, -9/20 or -0.5?

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Answer and Step-by-step explanation:

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3 years ago

Scores on a final exam taken by 1200 students have a bell shaped distribution with mean=72 and standard deviation=9

SVETLANKA909090 [29]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean $\pm$ Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 = $\frac{68}{100} \times 1200$

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean $\pm$ 2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to $\frac{95}{2} \%$ of the values.

Therefore, Scores between 72 and 90 = $\frac{95}{2(100)} \times 1200 = \frac{95}{200} \times 1200$

$\implies 95 \times 12$ = 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

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That is, 30 students have scored below 54.

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3 years ago

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Answer:

Step-by-step explanation:

if y = 25 when x = 6 1/4, then when y = 12, that would mean that we divided 25 by 2.0833. So we can do 6 1/4 divided by 2.0833 is the answer which is 3.00004800077.

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3 years ago

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Effectus [21]

Answer:

x=1

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

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3 years ago

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