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Solnce55 [7]
3 years ago
7

Solve sin2x + 2sinx = 0 for 0 ≤ x < 2π. ...?

Mathematics
1 answer:
IgorC [24]3 years ago
3 0
Sin 2 x + 2 sin x = 0
2 sin x cos x + 2 sin x = 0 / : 2
sin x cos x + sin x = 0
sin x ( cos x + 1 ) = 0
sin x = 0,  cos x + 1 = 0,  cos x = - 1;
Answer:
x = 0,  or x = π
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9/14

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2 years ago
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According to a study conducted by an​ organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A rando
jeyben [28]

Answer:

Event is not unusual(p>0.05).

Step-by-step explanation:

Given that :

p=0.10\\\\n=1100\\\\x=121

#The sample proportion is calculated as:

\hat p=\frac{x}{n}\\\\=\frac{121}{1100}\\\\=0.1100

#Mathematically, the z-value is the value decreased by the mean then divided  the standard deviation :

z=\frac{\hat p- p}{\sqrt{\frac{p(1-p)}{n}}}\\\\\\\\=\frac{0.11-0.10}{\sqrt{\frac{0.10(1-0.10)}{1100}}}\\\\\\=1.1055

#We use the normal probability table to determine the corresponding probability;

P(X\geq 121)=P(Z>1.1055)\\\\=0.1314

Hence, the probaility is more than 0.05, thus the event not unusual  and thus  this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.

8 0
3 years ago
Write the next whole number after 6748nine in the base-nine system.
ale4655 [162]

Answer:

Step-by-step explanation:

6748_9 = 6 *(9^3) + 7 * 9^2 + 4 * 9^1 + 8 * 9 ^ 0 = 4994_{10}

Hence, on base 10, the next whole number is 4995 and if we convert back to base 9, we will have

6* 9^3 + 7*9^2 + 5*9*1 = 4374 + 576+45 = 4995_{10}

Therefore, the number on base 9 will be 6750

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Slope is 0 and the y intercept is -2
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3 years ago
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