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Ostrovityanka [42]
2 years ago
8

A boy climbs to the top of a tree and sees his friend 100 feet from the base of the tree. If the tree is 25 feet tall, what is t

he angle of depression to his friend?
Mathematics
1 answer:
QveST [7]2 years ago
7 0
It would be helpful to draw the figure for this system. We would see that a right triangle is made where the base is equal to 100 ft and the height is equal to 25 ft. Using trigonometric functions we can easily calculate for the angle as follows:

tan (theta) = 25 / 100
theta = 14.04 degrees
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kaheart [24]
In your problem:
p = 18.3% = 0.183
n = 130

The standard error can be calculated by the formula:
SE = √[p · (1 - p) / n]
     = √[0.183 · (1 - 0.183) / 130]
     = 0.0339

The standard error of the proportion is 0.034.
7 0
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olasank [31]
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Two processes are used to produce forgings used in an aircraft wing assembly. Of 200 forgings selected from process 1, 10 do not
tangare [24]

Answer:

a.

\bar p_1=0.05\\\bar p_2=0.067

b-Check illustration  below

c.(-0.0517,0.0177

Step-by-step explanation:

a.let p_1  \& p_2 denote processes 1 & 2.

For p_1: T1=10,n1=200

For p_2:T2=20,n2=300

Therefore

\bar p_1=\frac{t_1}{N_1}=\frac{10}{200}=0.05\\\bar p_2=\frac{t_2}{N_2}=\frac{20}{300}=0.067

b. To test for hypothesis:-

i.

H_0:p_1=p_2\\H_A=p_1\neq p_2\\\alpha=0.05

ii.For a two sample Proportion test

Z=\frac{\bar p_1-\bar p_2}{\sqrt(\bar p(1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})}\\

iii. for \frac{\alpha}{2}=(-1.96,+1.96) (0.5 alpha IS 0.025),

reject H_o if|Z|>1.96

iv. Do not reject H_o. The noncomforting proportions are not significantly different as calculated below:

z=\frac{0.050-0.067}{\sqrt {(0.06\times0.94)\times \frac{1}{500}}}

z=-0.78

c.(1-\alpha).100\% for the p1-p2 is given as:

(\bar p_1-\bar p_2)\pm Z_0_._5_\alpha \times \sqrt   \frac{ \bar p_1(1-\bar p_1)}{n_1}+\frac{\bar p_2(1-\bar p_2)}{n_2}\\\\=(0.05-0.067)\pm 1.645  \times \sqrt \ \frac{0.05+0.95}{200}+\frac{0.067+0.933}{300}\\

=(-0.0517,+0.0177)

*CI contains o, which implies that proportions are NOT significantly different.

4 0
2 years ago
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ArbitrLikvidat [17]
For the answer to the question above, we'll have to use the formula for velocity which is v =<u> d
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Since the total distance is given, therefore we can get the time and it will look like this.

220t + 250t = 1880
<u>470t</u> = <u>1880
</u>470      470
the problem indicates that the train runs 250kph
Let's substitute:

d = 250(4)

the distance traveled by Lian is 1000km





<u>

</u>
5 0
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A rate that describes how much smaller or larger the scale drawing is than the real object
AfilCa [17]
It is called a scale factor :)
8 0
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