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DiKsa [7]
3 years ago
7

A marble factory makes single marbles, then puts them in boxes of 10, cartons of 100, and crates of 1,000. How can the marble fa

ctory package 21,650 marbles?
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Given, a marble factory makes single marbles and then puts them in boxes of 10, cartons of 100 and crates of 1000.

There are 21,650 marbles. We have to find how many boxes, cartons and crates are there.

We have to write 21,650 in the form of 1000, 100 and 10.

We can write 21,650 in the form of 1000 as, (21)(1000) = 21000

Now there (21650-21000) = 650 left.

We can write 650 in the form of 100 as, (6)(100) = 600

So there, (650-600) = 50 left.

Now we can write 50 in the form of 10 as, (5)(10) = 50.

So we can write 21,650 as,

21650 = (21)(1000)+(6)(100) + (5)(10)

So there are 21 crates, 6 cartons and 5 boxes in the marble factory package.

We have got the required answer here.

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5 0
3 years ago
suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks.
emmainna [20.7K]

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\alpha ,\beta)

E(X)= \alpha \beta                 \beta= 12^{2}/24=6 weeks

V(x)= \alpha \beta ^{2}                \alpha=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \alpha, \beta, False)

P(12\leq X\leq 24)

P(12/6\leq G\leq 24/6)

P(2\leq G\leq 4)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

To learn more about probability click here:

brainly.com/question/11234923

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4 0
1 year ago
Read 2 more answers
The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Su
valentinak56 [21]

Answer:

25 mpg

Step-by-step explanation:

We have a set of values 19, 21, 22, 28  and 18  

The average (which is the mean of the set of values )  is :

19 + 21 + 22 + 28 + 18 = 21.6 mpg   out of the government requirement

So we need a value such as the mean become at least 25 mpg

We have to solve the equation:

(19+21+22+28+ x)/ 5  = 25

 (90 + x ) /5  = 25       ⇒   90 + x = 125   ⇒   x = 35 mpg

If we get the mean of the set of values including 35 we have:

(19 +21+ 22+ 28 + 35 ) / 5   =  25 mpg  government requirement

7 0
3 years ago
Really need help please
Anettt [7]
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3 0
3 years ago
Least common multiple. of 5 ,10 and 16
Andreyy89

Answer:

1

Step-by-step explanation:

There is no lcm other than 1 between these 3 numbers

5 factors: 1, 5

10 factors: 10,1,5,2

16 factors:16,1,4,4,8,2

All of these have the number one in common, hence the answer

4 0
3 years ago
Read 2 more answers
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