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3 years ago

Help me pls, question is on the picture

Mathematics

1 answer:

Zinaida [17]3 years ago

6 0

Answer:

I just learned this about a few weeks ago I hope this helps.

Step-by-step explanation:

Since it's cosine you're only looking at Adjacent and the hypotenuse which the adj is 20 and the hyp is 25 so since cosine is adj/hyp you do 20/25 then simplify it to 20/25 divide both by 5 so it's simplified to 4/5.

Then you do Cos-1(4/5)=36.869 which is rounded to the tenth 36.9 but rounded to the hundredth 36.87.

Hope this helps

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a randon sample of 16 bookcases in one company have a mean height of 67.5 inches and a standard deviation of 2.1 inches. Constru

Lynna [10]

Answer:

For 99% of confidence interval is 67.5±1.3524

Step-by-step explanation:

Given:

Mean height =67.5 inches

Standard deviation:2.1 inches

Z at 99%.

No of samples 16.

To find:

confidence interval

Solution:

We have formula for confidence interval,

=mean ±Z*{standard deviation/sqrt(no.of observation)}

Now

Z=99%

has standard value as ,

Z=2.576

Confidence interval= mean±Z{standard deviation/sqrt(No. of samples)}

=67.5±2.57{(2.1/sqrt(16)}

=67.5±2.576(2.1/4)

=67.5±1.3524

5 0

4 years ago

A company has a new process for manufacturing large artificial sapphires. In a trial run, 37 sapphires are produced. The mean we

Licemer1 [7]

Answer:

The margin of error is of 0.11 carats.

The 95% confidence interval for the true mean weight of all sapphires produced by the new process is between 6.64 and 6.86 carats. The interpretation is that we are 95% sure that the true weight of all sapphires produced by the company using the new process is between these two values.

Step-by-step explanation:

We have the standard deviation for the sample, which means that we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 37 - 1 = 36

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 36 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.05}{2} = 0.975$ . So we have T = 2.0281

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.0281\frac{0.33}{\sqrt{37}} = 0.11$

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error is of 0.11 carats.

The lower end of the interval is the sample mean subtracted by M. So it is 6.75 - 0.11 = 6.64 carats

The upper end of the interval is the sample mean added to M. So it is 6.75 + 0.11 = 6.86 carats.

5 0

3 years ago

How does a digit in the ten thousand place compare to adigit in the thousand

Elodia [21]

A digit in the ten thousand place is 10x times larger than a digit in the thousands place.
We can see that here- 1,000 x 10 = 10,000

7 0

3 years ago

Help Plz

serg [7]

Hey!
Let p = cost of a pen
Let n = cost of a notebook 

The info in the question leads to two equations: 

1) 2p + 3n = 5.55 
2) p + 2n = 3.50 

Multiply equation 2) by 2 to get the new system of equations 

1a) 2p + 3n = 5.55 
2a) 2p + 4n = 7.00 

Subtract equation 1a) from equation 2a) to get 

n = 1.45 ...................... that's the cost of one notebook 

~~~~~~~~ 
To check, you could go on to figure out p, which turns out to be 0.60 . Put in those values of n and p into the original equations to verify.
Hope this helps! ~Nadia~

6 0

4 years ago

Read 2 more answers

HELP NEED HELP! Choose the similar triangles that have a hypotenuse defined by the equation

77julia77 [94]

Don’t click the link

7 0

3 years ago