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Romashka [77]
3 years ago
14

When rolling a fair number cube with numbers 1 through 6, what is the probability of

Mathematics
2 answers:
lakkis [162]3 years ago
8 0
The probability of rolling a number less than 3 is B: 1/3
Gnom [1K]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The total number of faces on a cube is 6.

The numbers under 3 are 1 and 2.

So numbers 1 and 2 give success.

P(<3) = 2/6

P(<3) = 1/3

The answer is B.

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What decimal is equivalent to 21% ?
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...it’s 0.21 because 21% is 21/100 which makes it 0.21
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A chemist needs 2,220 ml of potassium chloride to complete an experiment. She has 2 L. How many more liters does she need?
DerKrebs [107]

Answer:

  0.220 L

Step-by-step explanation:

One liter is 1000 mL, so 2,220 mL is 2.220 L. Subtracting the 2 L on hand gives the additional amount required:

  2.220 L - 2 L = 0.220 L

_____

The nice thing about metric units is that conversion factors are often powers of 10, so only movement of the decimal point is required. It can be worthwhile to become familiar with the SI prefixes.

7 0
3 years ago
In a certain manufacturing plant, the first operation can be done on any one of five machines, the second operation on only one
Ymorist [56]
Let's see all the steps: 
1)  operation  : 5 options
2) only one option: we ignore it
3) the third operation: 6 options
4): 2 options.


So we have 5 options, 6 options and 2 options: and they are independent of each other. This means that we multiply the numbers, and 5*6*2=60 So the answer is 60!
5 0
3 years ago
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If f(x)=4x-6 and g(x) =2x find f(x) •g(x)
slavikrds [6]
This is same as (4x-6)(2x), so you can distribute 2x into 4x-6 and you would get
(2x)4x - (2x)6 = 8x² - 12x

Final answer: 8x² - 12x

Hope this helps.
5 0
3 years ago
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Find the mean and variance of the following data<br><br> 52,34,64,49,55,26,38,63
BlackZzzverrR [31]

Answer:

Mean = 47,625

Variance, ignoring the commas = 157

Explanation:

The mean is quite simple: is the mid value of an amount (m') of numbers.

Examples:

Mean of 2, 4:  2 + 4/2 = 3

Mean of 5, 6 and 8: 1+6+8/3 = 15/3 = 5

Generalizing: M' = An + Bn-1 + Cn-2 +... + Y1/ n

So, for the enunciated, we have:

M = 52 + 34 + 64 + 49 + 55 + 26 + 38 + 63/8

M = 47,625

Variance is quite harder.

The mathematics definition is also quite harder:

∑n, i=1 (Xi - X')²/n

Traduction: the sum of the difference of the square of the dispersion measures by the arithmetic mean of them, divided by the number of observed terms is the square of the standard deviation, that is, the variance.

Don't worry, you don't need to understand that. I'll do the question, then you will see in practice what that means.

First, we need the mean of the observerd terms. We already have done that.

M = 47,625.

Next, we will do the the difference o<em>f the square </em>of the dispersion measures by the arithmetic mean of them. Which are:

A.52 - 47,625 = (4,375)²

B.34 - 47,625 = (-13,625)² - <em>Because of a value like that, you know see why</em>

C.64 - 47,625 = (16,375)²

D.49 - 47,625 = (1,375)²

E.55 - 47,625 = (7,375)²

F.26 - 47,625 = (-21,625)² - <em>we need to square everything: because a negati</em>

G.38 - 47,625 = (-9,625)² - <em>ve result doest not help in the statisc.</em>

K.63 - 47,625 = (15,375)²

I am using a calculator, but really with that, I'll aproximately the values. If you need a accurate measure, just square them all the way.

A = 16     D  = 1     G = 100

B = 169    E = 49    K = 225

C = 256   F = 441

The last part is the sum of the difference of the square of the dispersion measures by the arithmetic mean of them, dividing them by the number of observations.

16 + 169 + 256 + 1 + 49 + 441 + 100 + 225/ 8 = 157,125

8 is the number of observations.

___________________________

But why we do the variance? The variance serves to us for know how much the mean is precise.

So, the lower is the variance, the better is the mean.

Take a look on this example:

Imagine three persons, A, B and C.

They are in pub, talking about how much they receive. A gets, per month, 1000US$, b 2000 and C 3000US$.

So, their mean are 3000US$.

Now imagine that Bill Gates joins the group. And Bill, last month, got 100 milion US$.

Now the mean will be almost 25 milions of dollars.  So, she is VERY far from the reality of the major part of the group. And is in there that cames the variance. Looking to the variance, we will see that there is a big discrepancy for each observed term.

5 0
3 years ago
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