All categories

3 years ago

Can someone please help me and write out the answer

Mathematics

1 answer:

Elina [12.6K]3 years ago

8 0

Answer:

$- 30$

Step-by-step explanation:

$\sin {}^{ - 1} ( - \frac{1}{2} ) =$

Using the identity,

$\sin( - x) = - ( \sin(x) )$

$\sin( \frac{1}{2} ) = \frac{\pi}{6}$

$\sin {}^{ - 1} ( \frac{ - 1}{2} ) = - \frac{\pi}{6}$

Convert to degrees.

$- 30$

You might be interested in

A company surveyed 2400 men where 1248 of the men identified themselves as the primary grocery shopper in their household. a) E

polet [3.4K]

Answer:

a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

c) $\alpha =1-0.98=0.02$

Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

$p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }$

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and $z_{\alpha/2}$ is the z-value that let a probability of $\alpha/2$ on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, $\alpha$ by 0.02 and $z_{\alpha/2}$ by 2.33

Where p' and $\alpha$ are calculated as:

$p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02$

So, replacing the values we get:

$0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438$

With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence $1-\alpha$ is equal to 98%

It means the the level of significance $\alpha$ is:

$\alpha =1-0.98=0.02$

4 0

3 years ago

Let A= {a,b,c,d,e} and let B= {1,2,3,4,5} determine n(AxB)

777dan777 [17]

n(AxB) = 25

Step-by-step explanation:

AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.

Given

A = {a,b,c,d,e}

B = {1,2,3,4,5}

The number of elements for Cartesian product of two sets is determined by:

$n(AxB) = n(A) * n(B)$

Here

$n(A) = 5\\n(B) = 5$

So,

$n(AxB) = 5*5 = 25$

Hence,

n(AxB) = 25

Keywords: Sets, Cartesian Product

Learn more about sets at:

#LearnwithBrainly

7 0

3 years ago

Which of the following is an odd function?

irakobra [83]

F(x)=square root of x

6 0

3 years ago

Read 2 more answers

Solve for all values of x by factoring. x^2-5x=-2x

-Dominant- [34]

Answer:

x = 0

x = 3

Step-by-step explanation:

$x^2 - 5x = -2x\\x^2 - 5x + 2x = 0\\x^2 - 3x = 0\\x(x - 3) = 0\\x=0 , x-3=0\\x=0, x=3$

4 0

3 years ago

At noon a tree cast a shadow that is 40' long the distance from the top of the tree to the 1st tip of the shadow is 60' what is

Alla [95]

The Pythagorean theorem can be used for this.
.. (tip distance)² = (shadow length)² + (tree height)²
.. tree height = √((tip distance)² -(shadow length)²)
.. tree height = √((60 ft)² -(40 ft)²) = √(2000 ft²)
.. tree height ≈ 44.72 ft

5 0

3 years ago

Can someone please help me and write out the answer​

Can someone please help me and write out the answer