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lys-0071 [83]
3 years ago
15

Where is EF to the nearest tenth??

Mathematics
1 answer:
Katena32 [7]3 years ago
6 0

Answer:

37.7

Step-by-step explanation:

EF and ED define the Tangent of D

Tan(37) = side opposite D / side adjacent to D

Opposite means a line (FE) that is not connected to the angle. It is never the longest line (hypotenuse) in a Right Triangle

Adjacent means the leg that is connected to the angle, but is not the hypotenuse.

Tan(D) = opposite over adjacent

Opposite = x

Adjacent = 50

Tan(37) = 0.7536 rounded to 4 places, but I've kept the exact value in my calculator.

0.7536 = x / 50     Multiply both sides by 50

0.7536*50 = x

x = 37.6777

The nearest 1/10 is 37.7

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arc ACB = 360° - 30° = 330° → A

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Art [367]

Answer:

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: \mu_1 \leq \mu_2 -10

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Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 10

Alternative hypothesis:\mu_1 - \mu_2 >10

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: \mu_1 \leq \mu_2 -10

Alternative hypothesis:\mu_1 > \mu_2 -10

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 10

Alternative hypothesis:\mu_1 - \mu_2 >10

7 0
3 years ago
HELPSolve for x<br> X =<br> A: 1<br> B: 3<br> C: 7
OverLord2011 [107]

X equals 7

Hope that helped

7 0
3 years ago
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