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Tema [17]
4 years ago
7

Prove the equation 2x^2 + y^2 = 14 has no positive integer solutions.

Mathematics
1 answer:
Inessa05 [86]4 years ago
5 0
Solving for y, <span>y=±<span><span>14−2<span>x2</span></span><span>−−−−−−−</span>√</span></span><span> for y to be a positive integer, (14-2x^2) must be a perfect square. Any positive integer values chosen for x will not yield a perfect square</span>
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If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?
pashok25 [27]

The events A and B are not independent.

Given that,

                  P(A|B) = 0.4

                  P(A) = 0.5

                  P(B) = 0.8

Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)

We have, P(A|B) = P(A∩B)/P(B)

Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32

Now P(A) P(B) = 0.5 x 0.8 = 0.4

So P(A∩B) ≠ P(A)P(B)

Therefore, the events A and B are not independent.

Learn more about independent events at brainly.com/question/22881926

#SPJ4

7 0
2 years ago
Find area of a parallelogram with a height of 8 inches and a base of 14 inches
12345 [234]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{112 \:  {inches} \: ^{2} }}}}}

Step-by-step explanation:

Given,

Height of a parallelogram ( h ) = 8 inches

Base of a parallelogram ( b ) = 14 inches

Area of a parallelogram ( A ) = ?

<u>Finding </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>parallelogram</u>

<u>\boxed{ \sf{area \: of \: parallelogram \:  =  \: base \:  \times  \: height}}</u>

⇒<u>\sf{area \: of \: parallelogram \:  =  \: 14  \: \times 8}</u>

⇒<u>\sf{area \: of \: parallelogram = 112 \:  {inches}^{2} }</u>

Hope I helped!

Best regards! :D

4 0
4 years ago
You bought a magazine for $5 and some notepads for $4 each. You spent a total of $24. What is the most amount of notepads you ca
slava [35]

Answer: 4 notepads


Step-by-step explanation:


3 0
3 years ago
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James made $85.00 in 2 weeks mowing yards. He spent 20% of that buying new tools. How much did he spend on tools? *
Kruka [31]

Answer: c 17

Step-by-step explanation:

Easy

5 0
3 years ago
Read 2 more answers
What is the domain and the range of these functions?? quick please!!!!!!!!!!
Sever21 [200]
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. A rational function is a function of the form f(x)=p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .
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3 years ago
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