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3 years ago

Evaluate sin^-1 1/2 . Round your answer to the nearest hundredth.

Mathematics

1 answer:

adoni [48]3 years ago

6 0

Answer:

Step-by-step explanation:

Given the expression $sin^{-1} 1/2$ , the following steps must be taken to evaluate the expression.

$Let\ y = sin^{-1}1/2$

$y = sin^{-1} 0.5$

From the calculator, the value of y wil give;

$y = 30\\\\y = 30.00 (to\ the \ nearest \ hundredth)$

Hence $sin^{-1} 0.5 = 30.00$ .

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If m∠EBD= 4x - 8 and m∠EBC= 5x + 20, find the value of x and m∠EBC.

coldgirl [10]

Answer:

-28 = x

Step-by-step explanation

[5x + 20] + [4x - 8] = 180

9x + 12 = 180

- 12 -12

______________

9x = 168

18⅔ = x

m∠EBC = 5[18⅔] + 20 = 113⅓

93⅓

You will get a negative answer if you set them equal to each other, which is not allowed when you are talking about <em>length</em><em>.</em>

I hope this is correct, and as always, I am joyous to assist anyone at any time.

4 0

2 years ago

The freshmen class is going on a field trip. There are 316 people going.

marishachu [46]

The equation would be 6x+5y=316. X represents the car travelers and the y represents the bus travelers

3 0

3 years ago

ANSWER ASAP

Gnesinka [82]

(m=n) means that the greatest common denominator of m and n is 0.
this is a whole number.
this is a integer.
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6 0

2 years ago

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation:

Vikentia [17]

Answer:

$\= x = 18.5$ , $\sigma = 5.15$

$15.505 < \mu < 21.495$

$14.93 < \mu < 22.069$

Step-by-step explanation:

From the question we are are told that

The sample data is 21, 14, 13, 24, 17, 22, 25, 12

The sample size is n = 8

Generally the ample mean is evaluated as

$\= x = \frac{\sum x }{n}$

$\= x = \frac{ 21 + 14 + 13 + 24 + 17 + 22+ 25 + 12 }{8}$

$\= x = 18.5$

Generally the standard deviation is mathematically evaluated as

$\sigma = \sqrt{\frac{\sum (x- \=x )^2}{n}}$

$\sigma = \sqrt{\frac{\sum ((21 - 18.5)^2 + (14-18.5)^2+ (13-18.5)^2+ (24-18.5)^2+ (17-18.5)^2+ (22-18.5)^2+ (25-18.5)^2+ (12 -18.5)^2 )}{8}}$

$\sigma = 5.15$

considering part b

Given that the confidence level is 90% then the significance level is evaluated as

$\alpha = 100-90$

$\alpha = 10\%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.645$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.645 * \frac{5.15 }{\sqrt{8} }$

=> $E = 2.995$

The 90% confidence interval is evaluated as

$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 2.995 < \mu < 18.5 + 2.995$

$15.505 < \mu < 21.495$

considering part c

Given that the confidence level is 95% then the significance level is evaluated as

$\alpha = 100-95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.96 * \frac{5.15 }{\sqrt{8} }$

=> $E = 3.569$

The 95% confidence interval is evaluated as

$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 3.569 < \mu < 18.5 + 3.569$

$14.93 < \mu < 22.069$

8 0

3 years ago

How do you solve: 4/10y+28=0

Bezzdna [24]

Answer:

Step-by-step explanation:

$\dfrac{4}{10}y+28=0\qquad\text{subtract 28 from both sides}\\\\\dfrac{4:2}{10:2}y=-28\\\\\dfrac{2}{5}y=-28\qquad\text{multiply both sides by 5}\\\\5\!\!\!\!\diagup^1\cdot\dfrac{2}{5\!\!\!\!\diagup_1}y=-140\\\\2y=-140\qquad\text{divide both sides by 2}\\\\y=-70$

3 0

2 years ago