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3 years ago

Find HCF and LCF of 377, 145and so 667

Mathematics

1 answer:

dexar [7]3 years ago

7 0

Answer:

HCF = 29 LCM = 43355

Step-by-step explanation:

377 = 13 * 29

145 = 5 * 29

667 = 23 * 29

HCF = 29

LCM = 29 * 23 * 5 * 13

=43355

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Orlov [11]

Rewrite equation so that it is homogeneous .
$ay'' +by' + cy = 0$

Solve characteristic equation:
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The solutions to the homogeneous equation are:
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Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
$y= k_1 e^{r_1 t} + k_2 e^{r_2 t} + \frac{d}{c}$

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3 years ago

Assume that there are 365 days in a year, the probability that a person is born on any given day is the same for all days, and e

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Answer:

Step-by-step explanation:

If each day equal chance then p = Prob that a person is borne on a particular day = 1/365

Each person is independent of the other and there are two outcomes either borne in July or not

p = prob for one person not borne in July = (365-31)/365 = 334/365

a)Hence prob that no one from n people borne in July = $(\frac{334}{365} )^n$

b) p = prob of any one borne in July or Aug = $\frac{(31+31) }{365} =\frac{62}{365}$ =0.1698

X- no of people borne in July or Aug

n =15

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3 years ago

Find four consecutive integers whose sum is 114

bija089 [108]

Answer:

the sum of 27,28,29,30 is 114

Step-by-step explanation:

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3 years ago

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3 years ago

1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc

valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5) = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

$t_{5}$ = a + 4d

$t_{5}$ = - 1 + 4 ( -2 )

$t_{5}$ = -1 - 8

$t_{5}$ = - 9

6th term = a +5d

$t_{6}$ = -1 + 5(-2)

$t_{6}$ = -1 - 10

$t_{6}$ = - 11

$t_{7}$ = a + 6d

$t_{7}$ = -1 + 6 (-2)

$t_{7}$ = -1 - 12

$t_{7}$ = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(d) $t_{27}$ = a + 26d

$t_{27}$ = -1 + 26 ( -2 )

$t_{27}$ = -1 - 52

$t_{27}$ = - 53

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3 years ago

Find HCF and LCF of 377, 145and so 667​

Find HCF and LCF of 377, 145and so 667