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3 years ago

In scientific notation, how can you tell if it is less than or greater than 1? Explain

Mathematics

1 answer:

svlad2 [7]3 years ago

7 0

Answer: See below

Step-by-step explanation:

In scientific notation, you can tell that it is greater or less than 1 by looking at the exponent. The scientific notation looks like _.__×10⁻. Note: The little lines are blanks for you to fill in. The dot at the bottom is a decimal.

If the exponent on top of 10 is positive, you are moving the decimal to the right side, making the number greater.

If the exponent on top of 10 is negative, you are moving the decimal to the left side, making it smaller and smaller.

By those statements, you can tell if a number is greater or less than 1 by looking at the exponent.

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What is the correlation coefficient with the following data points: (15,36), (13,22), (12,6), (11,20)?

Rina8888 [55]

Answer:

A. 0.75

Step-by-step explanation:

The formula for the correlation coefficient r is

$r =\frac {n \sum{xy} - \sum{x}\sum{y}}{\sqrt{[n \sum{x^{2}}- (\sum{x})^{2}}][n \sum{y^{2}}- (\sum{y})^{2}]}$

It's easier to use a statistical calculator, but this question probably expects you to do it by hand.

Let’s write a table for easy calculation.

x y xy x² y²

15 36 540 225 1296

13 22 286 169 484

12 6 72 144 36

11 20 220 121 400

51 84 1118 659 2216

(Σx)² = 2601

(Σy)² = 7056

$r =\frac{4\times1118-51\times84}{\sqrt{[4\times659-2601][4\times2216-7056]}}$

$r =\frac{4472-4284}{\sqrt{[2636-2601][8864-7056]}}$

$r =\frac{188}{\sqrt{35\times1808}}$

$r =\frac{188}{\sqrt{63280}}$

$r =\frac{188}{251.6}$

r = 0.747

The graph below shows that there is a poor correlation among the points.

6 0

3 years ago

Find the next 3 terms of the geometric sequence 32,16,8,4

Ivanshal [37]

Answer:

2, 1, 0.5 would be the next 3 terms

Step-by-step explanation:

6 0

3 years ago

NEED ASAP will mark brainliest

balandron [24]

Answer: x = 12, y = $12\sqrt{3}$

Step-by-step explanation:

A 30-60-90 triangle has sides whose lengths are related. (shown in the diagram attached) The longest side, the hypotenuse (opposite the right angle) represents 2x. The shortest side is x, and the last side is $x\sqrt{3}$ .

We know the longest side = 24 = 2x.

If the shortest side is x, that means that the shortest side = the longest side DIVIDED by 2. Therefore, shortest side = x = 24/2 = 12 .

The last side is y and equals x\sqrt{3} . We now know that x = 12. Hence, y = $12\sqrt{3}$ .

7 0

3 years ago

How do we convert decimal numbers into binary numbers 2483?.

alisha [4.7K]

Answer:

Places in binary coding

1 - 2 - 4 - 8 - 16 - 32 - 64 - 128 - 256 - 512 - 1024 - 2048

2483 - 2048 = 435 there is 1 in the 2048 position

435 - 256 = 179 there is 1 in the 256 position

179 - 128 = 51 there is 1 in the 128 position

51 - 32 = 19 there is 1 in the 32 position

19 - 16 = 3 there is 1 in the 16 position

3 - 2 = 1 there is 1 in the 2 position

1 - 1 = 0 there is 1 in the 1 position

10011011 0011 would be the binary result

Check:

2048 + 0 + 0 + 256 + 128 + 0 + 32 + 16 + 0 + 0 + 2 + 1 = 2483

8 0

2 years ago

Jackie has a prepaid Green Phone that charges 22 cents per text message sent or received. Jackie prepays $40 on her phone.

anyanavicka [17]

Hi there !

(40-6.56)/0.22 = 152

5 0

3 years ago