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stellarik [79]
3 years ago
6

Can someone plz help me with this and i need the drawing to show work

Mathematics
1 answer:
Burka [1]3 years ago
4 0

Answer:

20.833 feet

Step-by-step explanation:

The light reflects off the mirror at the same angle that it hits it at.  So the triangle formed by the beam and mirror is similar to the triangle formed by Kevin and the mirror.

Therefore, we can write and solve a proportion.

h / 10 = 6.25 / 3

h = 20.833

The beam is 20.833 feet tall.

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A random sample of 16 one-kilogram sugar packets is obtained and the actual weights of the packets are measured. The sample mean
elena55 [62]

Answer:

The 99% two-sided confidence interval for the average sugar packet weight is between 0.882 kg and 1.224 kg.

Step-by-step explanation:

We are in posession of the sample's standard deviation, so we use the student's t-distribution to find the confidence interval.

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 = 16 - 1 = 15

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 35 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.905([tex]t_{995}). So we have T = 2.9467

The margin of error is:

M = T*s = 2.9467*0.058 = 0.171

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.053 - 0.171 = 0.882kg

The upper end of the interval is the sample mean added to M. So it is 1.053 + 0.171 = 1.224 kg.

The 99% two-sided confidence interval for the average sugar packet weight is between 0.882 kg and 1.224 kg.

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3 years ago
Which of the following elevations are deeper than -200 feet? Select all that apply.
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Hello.


The asnwer is ASA -

If two angles and the included side are equal to two angles  and the included side of another triangle.

Have a nice day
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