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zlopas [31]
3 years ago
12

What is the 7th term of (x+y)^10?

Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0

Answer:

The 7th term in this binomial expansion is 210x^4 y^6

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The sum of the present ages of Mark and his mother is 60 years. In 6 years she will be twice as old as he will be. Find their pr
Igoryamba

Answer:

  Mark is 18; his mother is 42.

Step-by-step explanation:

In 6 years, 12 years will be added to the total of their ages, so it will be 72. Since this is the total of Mark's age and twice Mark's age, his age at that time will be 72/3 = 24. His mother will be 48 at that time.

Now, they are 6 years younger than that, so they are 18 and 42.

5 0
3 years ago
What is the relationship between the ratios?
Nonamiya [84]
Not proportional because 2 times 32 is 64 not 72
7 0
3 years ago
3% tax, $314 weekly: Find the amount of local tax deducted.
andreyandreev [35.5K]
Each week $9.42 is taxed of 314
8 0
3 years ago
Read 2 more answers
The monthly worldwide average number of airplane crashes of commercial airlines is 3.5. What is the probabil- ity that there wil
Levart [38]

Answer:

Step-by-step explanation:

We would apply the formula for poisson distribution which is expressed as

P(x = r) = (e^- µ × µ^r)/r!

Where

µ represents the mean of the theoretical distribution.

r represents the number of successes of the event.

From the information given,

µ = 3.5

a)

For the probability that there will be at least 2 such accidents in the next month, it is expressed as

P(x ≥ 2) = 1 - P(x < 2)

P(x < 2) = P(x = 0) + P(x = 1)

Therefore,

P(x = 0) = (e^- 3.5 × 3.5^0)/0!

P(x = 0) = (e^- 3.5 × 1)/1

P(x = 0) = 0.03

P(x = 1) = (e^- 3.5 × 3.5^1)/1!

P(x = 1) = (e^- 3.5 × 3.5)/1

P(x = 1) = 0.11

P(x < 2) = P(x = 0) + P(x = 1) = 0.03 + 0.11 = 0.14

P(x ≥ 2) = 1 - 0.14 = 0.86

b)

For the probability that there will be at most 1 accident in the next month, it is expressed as

P(x ≤ 1) = P(x = 0) + P(x = 1)

P(x = 0) = 0.03

P(x = 1) = 0.11

P(x ≤ 1) = 0.03 + 0.11 = 0.14

3 0
3 years ago
A bank advertises that they will pay 1.5% simple annual interest on new savings accounts. Lorenzo puts $400 in a new account. If
Luba_88 [7]

Answer:

  $406

Step-by-step explanation:

The amount of interest that Lorenzo's account earns is given by ...

  I = Prt

where P is the principal amount ($400), r is the annual rate (1.5%) and t is the number of years (1).

Lorenzo's interest is ...

  I = $400·0.015·1 = $6.00

Then the balance in Lorenzo's account at the end of one year is ...

  $400 +6 = $406.00

3 0
3 years ago
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