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muminat
3 years ago
10

Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution.

Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0
The answer is 4.

<span>Square root of 2x plus 1 = 3:
</span>\sqrt{2x+1} =3
<span>
Square both sides:
</span>( \sqrt{2x+1} )^{2}  =3^{2} \\  \\ &#10;2x+1=9 \\ &#10;2x = 9 - 1 \\ &#10;2x =8 \\ &#10;x = 8:2 \\ x =4&#10;<span>

</span>
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A recent kellogg survey shows that approximately 34% of americans eat breakfast. suppose alex takes a random sample of four amer
vlabodo [156]

This kind of experiments are ruled by Bernoulli's formula. If you have probability p of "success", and you want k successes in n trials, the probability is


\binom{n}{k}p^k(1-p)^{n-k}


It's easier to compute the first probability by difference: instead of computing the probability of the event "at least one of the surveyed eats breakfast", let's compute the probability of its contrary: none of them eats breakfast. So, we want 0 successes in 4 trials, with probability of success 0.34. The formula yields


\binom{4}{0} 0.34^0 0.64^4 = 0.64^4 \approx 0.17 = 17\%


Since the contrary has probability 17%, our event "at least one of the surveyed eats breakfast" has probability 83%.


As for the second question, the event "at least three of the surveyed eats breakfast" is the union of the events "exactly three of the surveyed eats breakfast" and "exactly four of the surveyed eats breakfast". So, we just need to sum their probabilities:


\binom{4}{3} 0.34^3 0.64^1 +\binom{4}{4} 0.34^4 0.64^0 = 4\cdot  0.34^3 0.64 + 0.34^4 \approx 0.11 = 11\%

3 0
3 years ago
Please help!!!!<br><br><br> i don't know how to do this I'm gonna fail my class lol
liraira [26]

Answer:

oh its very simple

Even E²=t²×x²

formula

now please mark me as brainliest

5 0
3 years ago
5 (-7) + 9 (4) can some one help
Sedbober [7]
5 (-7) + 9 (4) = 1 .
8 0
4 years ago
Which describes the slope of the line that passes through the points (2, 5) and (– 4, 5)?
EastWind [94]

Answer:

m is the slope of line and x1, y1= 2,5 , and x2, y2= -4, 5

m = 5-2/-4-5 = -1/3

Step-by-step explanation:

8 0
3 years ago
You run cola bottling plant. you receive $20 per case of regular cola and $25 of vanilla cola.
lesya692 [45]
Whats the question tho ?
3 0
3 years ago
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