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Gemiola [76]
3 years ago
7

How many times does 4 go into 20?

Mathematics
1 answer:
Tom [10]3 years ago
7 0
4 goes into 20 five times (not fifty).

20/4=5

I hope this helped ^u^ don't forget to make my answer Brainliest.
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David mowed 2/3 of the yard in 1/2 hour how long will it take him to mow the whole yard?
saveliy_v [14]

Answer:

Step-by-step explanation: It would take him 15 minutes more to mow the whole yard

1/2 hour is 30 mins divided by 2 which is 15 mines times 3 is 45 mins total mins

8 0
3 years ago
6. A submarine has three navigational devices but can remain at sea if at least two are working. Suppose that the failure times
horsena [70]

Answer:

The three survival functions are e-t, e-2/3t and e-1/3t

Then, the rate of the second death equals (multiplying all combinations of 1 survival + 1 death * the rate of death of the third device)

(e-t*(1-e-2/3t)+(1-e-t)e-2/3t)1/3e-1/3t +

(e-t*(1-e-1/3t)+(1-e-t)e-1/3t)2/3e-2/3t  +

(e-2/3t*(1-e-1/3t)+(1-e-2/3t)e-1/3t)e-t =

1/3e-4/3t + 1/3e-t -2/3e -2t +

2/3e -5/3t + 2/3e-t -4/3e -2t +

e -4/3 + e -5/3 -2e -2t =

e-t + 4/3e-4/3t + 5/3e-5/3t - 4e-2t

Note that this integrates to 1, thus satisfying one of the rules of a density. We also can see that this function is greater than 0, as e-t + 4/3e-4/3t + 5/3e-5/3t - 4e-2t =

e-t + 4/3e-4/3t + 5/3e-5/3t - e-2t - 4/3e-2t - 5/3e-2t =

e-t  - e-2t + 4/3e-4/3t - 4/3e-2t + 5/3e-5/3t- 5/3e-2t =

e-t (1 - e-t) + 4/3e-4/3t(1 - e-2/3t) + 5/3e-5/3t(1 - e-1/3t) > 0 for t > 0

Then, to find the average length that the ship is at sea, we must integrate

t(e-t + 4/3e-4/3t + 5/3e-5/3t - 4e-2t) from 0 to infinity.

However, as a shortcut, note that we can easily identify the integral of the first three functions,

te-t, 4/3te-4/3t, and 5/3te-5/3t, as calculating the expected value of the exponential distribution with parameters 1, 4/3, and 5/3, and the expected value is 1, 3/4, and 3/5

For the final function, 4te-2t = 2*2e-2t , this is twice the expected value of the exponential distribution with parameter 2 = 2 * 1/2 = 1

1 + 3/4 + 3/5 - 1 = 27/20

Step-by-step explanation:

5 0
4 years ago
John randomly picks a number from 1 to 5 (both inclusive) and a letter from A to E (both inclusive). What is the probability tha
Greeley [361]

Answer:

P(A \cap B) = P(A) *P(B) =\frac{1}{5} \frac{1}{5}= \frac{1}{25}

So then the best option would be:

a. 1/25

Step-by-step explanation:

For this case we assume that the sample space for the numbers is :

S_1= [A,B,C,D,E]

And the sample space for the numbers is:

S_2 =[1,2,3,4,5]

Both sampling spaces with a size of 5.

We define the following events:

A="We select a 2 from the numbers"

B= "We select a E from the letters"

We can find the individual probabilities for each event like this:

P(A)= \frac{1}{5}

P(B) = \frac{1}{5}

And assuming independence we can find the probability required like this:

P(A \cap B) = P(A) *P(B) =\frac{1}{5} \frac{1}{5}= \frac{1}{25}

The last probability is the probability of obtain obtain a 2 AND an E

So then the best option would be:

a. 1/25

3 0
4 years ago
Read 2 more answers
Show that the angles of an equalateral triangle are 60°each​
topjm [15]

Answer:

For an equilateral triangle, we know that all 3 sides of the triangle are equal. Accordingly, all the 3 sides of the equilateral triangle hold equal angles.

Since, we know, that the sum of all angles of any triangle be 180° .

Let each angle be a.

Thus,

Hence, we can show that all the 3 angles of an equilateral triangle hold equal angles; i.e. 60°.

Step-by-step explanation:

7 0
3 years ago
Alex invests $2,000 in a company's stock. After a year, the value of Alex's stock has increased to $2,500. What rate of return h
Kay [80]

The rate of interest is 25%

<u>Explanation:</u>

Given:

Principal, P = $2,000

Amount, A = $2500

Time, t = 1 year

Rate of Interest, r = ?

We know:

Amount = P(1+\frac{r}{100})^t

On substituting the value we get:

2500 = 2000 (1 + \frac{r}{100})^1\\ \\\frac{25}{20}= (1+\frac{r}{100})\\

\frac{5}{20} = \frac{r}{100}\\  \\r = \frac{100 X 5}{20} \\\\r = 25

Therefore, the rate of interest is 25%

5 0
3 years ago
Read 2 more answers
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