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Firlakuza [10]
3 years ago
7

a water hose has filled up 1/2 of a pool after 1/6 of an hour. at this rate, how many hours would it take to fill the pool

Mathematics
2 answers:
Rufina [12.5K]3 years ago
7 0

Answer: It will take 2/6 or 1/3 of an hour to fill the pool.

Step-by-step explanation:

If 1/2 of the pool has been filled after 1/6 of an hour, you can find the answer by doing 2/1 x 1/2 = 2, to represent the amount when the pool is filled fully. Now, you must multiply 1/6 x 2/1 = 2/6, this represents the amount of time to fill up the pool fully. Therefore, it will take 2/6 of an hour or 1/3 of an hour to fill the pool.

worty [1.4K]3 years ago
4 0

Answer:

2/6 hours

Step-by-step explanation:

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According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report
lions [1.4K]

Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

0.13392

P(x=5)= (e^-6×6^5)/5!

= (0.00248×7776)/5×4×3×2×1

= 19.28448/120

= 0.1607

probability that four or five cell phones will be reported stolen tomorrow

= P(x=4) + P(x=5)

= 0.13392 + 0.1607

= 0.294624

Approximately 0.29

8 0
3 years ago
Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

f(x) = -x^2 + 6x

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

-2x+6

Therefore critical point

x=3

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

F(1)=-(1)^2 + 6(1)\\F(1)=5

For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
3 years ago
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777dan777 [17]

Answer:

where

Step-by-step explanation:

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2 years ago
Jackie has 10 groups of pennies with 3 pennies in each group. Carlos has 5 groups of pennies with 100 pennies in each group. Who
Tcecarenko [31]
Answer=Carlos

If Jackie has 10 groups, with 3 in each groups, she has 30 total pennies.

10*3=30 pennies

If Carlos has 5 groups with 100 in each group, then Carlos has 500 pennies.

5*100=500 pennies

500 pennies is more than 30 pennies, so Carlos has more pennies
8 0
3 years ago
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Help&amp;EXPLAIN <br><br> Don’t use for points or will be reported and I’ll take the points back
ella [17]

Answer:

x = 60°

Step-by-step explanation:

since, the triangles are complementary the sum of their measures will be 90°

now,

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3 years ago
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