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OleMash [197]
3 years ago
8

What is the solution for 2t<5

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0
T < 5/2
t is less than 5/2 or 2.5
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You and your friend each collect rocks and fessis your friend collects three times as many roots and half as many fossils as you
n200080 [17]

Answer:

Number of rocks and fossils collected by you is <u>1 and  24</u> respectively

Number of rocks and fossils collected by your friend is <u>3 and 12 </u>respectively

Step-by-step explanation:

Let  the number of Rocks you collect be x

Let  the number of Fossils you collect be y

Then the total number pf objects you collected will be

x + y = 25

x = 25 - y------------------------------(1)

Your friend collects three times as many rocks and half as many fossils as you.

This can be written as

3x + y (1/2) = 15

3x + (y/2) = 15-------------------(2)

Substituting (1) in (2)

3(25 - y) + (y/2) = 15

75 - 3y + (y/2) = 15

Grouping the like terms we get,

75 - 15 = 3y = (y/2)

60 = ( 6y - y /2)

60 x 2 = 6y -y

120 = 5y

y = 120/5

y = 24

Substituting  y value in equation(1) we get

x = 25 - 24

x= 1

y= 24

Friends collects 3 times rock

so collects 3x =3(1) = 3rocks

Also he collects half as many fossils

That is

y/2 = 24/2 = 12 fossils

<u><em>Hope this help you! :)</em></u>

5 0
2 years ago
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes ar
konstantin123 [22]

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

7 0
3 years ago
Plz help MATH HW<br>explain/answer
Misha Larkins [42]

No because the sum could also be irrational number which for example it could be square root of 9 or 49

       Hope this helps answer your question

6 0
3 years ago
La suma de dos números es 50 y la diferencia es 22. ¿Cuáles son los números?
Basile [38]

Answer:

(3,2)

Step-by-step explanation:

Just took the test

6 0
3 years ago
Change 2 hours and 36 mins to a mixed number
defon
You know you have two hours which will be the whole number. Then you take 36min and put it over 60min (total number of min in an hour) and you simplify by 6 to get 6/10 which can be simplified again to 3/5 so your final mixed number is
2 and 3/5 hours
5 0
3 years ago
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