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Rama09 [41]
3 years ago
9

True or False: In scientific notation a number is written m X 10^w where m is between 1.000 and 9.999...

Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

Answer: True

Step-by-step explanation:

We try to keep the number greater than 1 and lower than 10, so between 1, and 9.

For example: 3545346 would be 3.5x10^6

you can see 3.5 is between 1 and 9

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The average density of the material in intergalactic space is approximately 2.5 × 10–27 kg/m3. what is the volume of a lead samp
Lesechka [4]

Answer:

e. 1.8\times 10^{-6}m^3

Step-by-step explanation:

It is given that,

The density of intergalactic space material is 2.5 \times 10^{-27} kg per cubic meter.

And the volume of intergalactic space material is 8.0\times 10^{24} m^3

So the mass of that much intergalactic space material is,

m= \rho\times v, where 'm' is the mass, and 'v' is the volume.

Putting the values we get,

m=2.5 \times 10^{-27}\times 8.0 \times 10^{24}

m=20\times 10^{(-27+24)}=20\times 10^{-3} kg

It is also given that the mass of lead is the same as the mass of the intergalactic space material. Therefore, the mass of lead is 20 \times 10^{-3}=2 \times 10^{-2}kg

So the volume of lead is,

v=\frac{m}{\rho} =\frac{2 \times 10^{-2}}{11300} = 0.00000177 m^3

v=1.77 \times 10^{-6}=1.8\times 10^{-6}m^3

So the volume of lead is v=1.8\times 10^{-6}m^3.

3 0
4 years ago
Simplify each expression. 16 1/4. 49 1/2. 10001/3-64 1/6
Crazy boy [7]
The answer for the first one is 4 the sacend one is 49/2 the thirst one is 33223
7 0
3 years ago
X=-7y+5<br> 5x=4y=-6<br> solve by substitution
lyudmila [28]
5x (-7)y=4
y=-4/35
5x=4
x=4/5
(x, y) = (4/5, 4/35)
4 0
3 years ago
Let X be a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal prob
Akimi4 [234]

Answer:

Yes. Have the same distribution.

Step-by-step explanation:

Given that X is a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal probabilities).

Y is the next day after X

So Y can be written as X+1

But since highest value is 7, we can write

Y = X+1 mod 7

i.e. whenever X=7, Y= 8= 1 again.

Thus Y can take values as

Y  1   2   3   4   5   6   7

P(Y) = P(X+1) = 1/7

i.e. Y also has the same distribution as X

3 0
3 years ago
The population mean annual salary for environmental compliance specialists is about ​$63 comma 500. A random sample of 31 specia
Nat2105 [25]

Answer:

0.0035289

Step-by-step explanation:

From the question;

mean annual salary = $63,500

n = sample size = 31

Standard deviation = $6,200

Firstly, we calculate the z-score of $60,500

Mathematically;

z-score = x-mean/SD/√n = (60500-63500)/6200/√(31) = -2.6941

So we want to find the probability that P(z < -2.6941)

We can get this from the standard normal table

P( z < -2.6941) = 0.0035289

3 0
3 years ago
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