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2 years ago

The sum of two numbers is 7 and the difference of their squares is 105. Find the numbers. If there

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

3 0

Answer:

11 and -4

Step-by-step explanation:

Let the required two numbers be x and y

If the sum of two numbers is 7, then

x + y = 7 .. 1

If the difference of their squares is 105, then;

x² - y² = 105 ...2

From 1;

x = 7 - y... 3

Substitute 3 into 2;

(7-y)² - y² = 105

Expand

49-14y+y² -y² = 105

49-14y = 105

-14y = 105 - 49

-14y = 56

y = -56/14

y = -4

Substitute y = -4 into 3

x = 7 - y... 3

x = 7 - (-4)

x = 7+4

x = 11

Hence the numbers are 11 and -4

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2 years ago

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Since, the binomial distribution formula,

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(b) the probability of the number that say they would feel secure is more than five

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$=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}$

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(c) the probability of the number that say they would feel secure is at most five

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3 years ago

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$\bold{\huge{\underline{ Solution}}}$

<h3>Given :-</h3>

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