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Gelneren [198K]
3 years ago
15

One positive number is 3 more than twice another. If their product is 629, find the numbers.

Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

Answer:

17,37

Step-by-step explanation:

one number = x

The positive number = 2x + 3

x * (2x+3) = 629

x*2x + x *3 = 629

2x² + 3x - 629 = 0

2x² - 34x + 37x - 17*37 =0

2x*(x -17) + 37(x - 17) = 0

(x - 17)(2x + 37) = 0

x - 17 = 0 ;     Ignore  2x + 37 as s is a positive number

x = 17

Positive number = 2*17 +3 = 34+3 = 37

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Answer:

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Step-by-step explanation:

We are given the following information:

We treat students accepted at university as a success.

P(students accepted at university) = 70% = 0.70

Then the number of students accepted at university follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

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a) P( 8 or more will be accepted)

P(x \geq 8) = P(x = 8) + P(x = 9) + P(X=10)\\\\= \binom{10}{8}(0.7)^8(1-0.7)^2 +  \binom{10}{9}(0.7)^9(1-0.7)^1+ \binom{10}{10}(0.7)^{10}(1-0.7)^0\\\\= 0.2334 + 0.1210 + 0.0282\\= 0.3826

b) P(4 or more will be accepted)

P(x \geq 4) =1 - P(x = 0) - P(x = 1) - P(X=2)-P(x=3)\\\\=1 - ( \binom{10}{0}(0.7)^0(1-0.7)^{10} +  \binom{10}{1}(0.7)^1(1-0.7)^9+ \binom{10}{2}(0.7)^{2}(1-0.7)^8+ \binom{10}{3}(0.7)^{3}(1-0.7)^7 )\\\\= 1 - 0.0106\\= 0.9894

6 0
3 years ago
12 people will share 3 pounds of mixed nuts. If they share equally, what fraction of a pound will each person get? Write your an
uysha [10]
They would each get 1/4 of a pound (3 divided by 12)
8 0
3 years ago
The equation sin(40o) = can be used to determine the length of line segment AC. What is the length of ? Round to the nearest ten
I am Lyosha [343]
The answer:
For more explanation please look at the image.
according to the image, the length of line segment AC can be found as
the following method shows:

<span>sin(40°)= opposite side  / hypotenuse,  opposite side = b, hypotenuse = AB= 20cm
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8 0
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ahrayia [7]

Answer:

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Step-by-step explanation:

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8 0
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