1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VLD [36.1K]
3 years ago
14

Find the value of sinA in the figure above.

Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Sin(A) = O/H

Sin(A) = 27/45

Sin(A) = 0.6

You might be interested in
Teje ratio of adulta to children attedening a new exhibit at the museum was found 8:5 based on this ratio if 390 people attended
Ratling [72]
8x - adults
5x - children

8x+5x=390\\
13x=390\\
x=30\\\\
5x=5\cdot30=150
8 0
3 years ago
The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, included the question, "Ho
vitfil [10]

Answer:

Therefore, the sampling distribution of \bar{x} is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The 95% interval estimate of the population mean \mu is

LCL = 7.431 hours to UCL = 10.569 hours

Step-by-step explanation:

Let X be the number of hours a legal professional works on a typical workday. Imagine that X is normally distributed with a known standard deviation of 12.6.

The population standard deviation is  

\sigma = 12.6 \: hours

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

The sample size is

n = 250

The sample mean is  

\bar{x} = 9 \: hours  

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The population mean would be the same as the sample mean that is

 \mu = \bar{x} = 9 \: hours

The sample standard deviation would be  

$ s = {\frac{\sigma}{\sqrt{n} }  $

Where   is the population standard deviation and n is the sample size.

$ s = {\frac{12.6}{\sqrt{250} }  $

s = 0.7969 \: hours

Therefore, the sampling distribution of \bar{x} is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The population mean confidence interval is given by

\text {confidence interval} = \mu \pm MoE\\\\

Where the margin of error is given by

$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\

Where n is the sampling size, s is the sample standard deviation and  is the t-score corresponding to a 95% confidence level.

The t-score corresponding to a 95% confidence level is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 250 - 1 = 249

From the t-table at α = 0.025 and DoF = 249

t-score = 1.9695

MoE = t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\\\MoE = 1.9695\cdot \frac{12.6}{\sqrt{250} } \\\\MoE = 1.9695\cdot 0.7969\\\\MoE = 1.569\\\\

So the required 95% confidence interval is

\text {confidence interval} = \mu \pm MoE\\\\\text {confidence interval} = 9 \pm 1.569\\\\\text {LCI } = 9 - 1.569 = 7.431\\\\\text {UCI } = 9 + 1.569 = 10.569

The 95% interval estimate of the population mean \mu is

LCL = 7.431 hours to UCL = 10.569 hours

8 0
3 years ago
The dolphins at the Webster are fed 1/2 of a bucket of fish each day the sea otters are fed 1/2 as much fish as the dolphins how
Nikolay [14]

If the dolphins are fed half a bucket of fish then half of that would be a quarter, therefore the sea otters are fed 1/4 of a bucket.


6 0
3 years ago
Help please.<br><br> r/5 - 6 = -1<br> A) r = 1 <br> B) r = 5 <br> C) r = 10 <br> D) r = 25
statuscvo [17]
Hello :),

\frac{r}{5}-6=-1 \\    \\ \frac{r}{5} =-1+6=5 \\  \\  r=5*5=25.
5 0
3 years ago
What is the solution to the equation h+8=6
mamaluj [8]
H=-2
8+-2=6
Hope that helps
7 0
3 years ago
Read 2 more answers
Other questions:
  • B. What is the total cost for all three people?​
    7·1 answer
  • PLEASE HELP ME!! ASAP BEST ANSWER WILL BE MARKED BRAINLIEST!!
    11·1 answer
  • Alana praticed dancing for 11 over 4 hours on Monday, 19 over 8 hours on Wednesday, and 2.6 hours on Friday. On which day did sh
    7·2 answers
  • I'm thinking of two numbers, 12 and another number. 12 and my other number have a GCF of 6 and a LCM of 36. What's the other num
    8·1 answer
  • PLZZZZZ HELP NO SPAM ANSWERS AND I WILL GIVE BRAINLIEST
    13·2 answers
  • Slope intercept form 8x-6y=18
    6·1 answer
  • A line passes through the point (4,7) and has a slope of -5/2.
    6·2 answers
  • Complete the slope-intercept form of the linear equation that represents the relationship in the table.
    11·1 answer
  • For rhis problem you will have to simplify correctly .
    9·2 answers
  • The triangular prism below has a base area of 28.7 units² and a height of 11 units.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!