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tatuchka [14]
3 years ago
5

6. Find the value of x. 120 6x​

Mathematics
1 answer:
Virty [35]3 years ago
3 0
Both angles are vertical angles. According to the Vertical Angles Theorem, vertical angles are congruent. Therefore:
6x°=120° [Vertical Angles Theorem (vertical angles are Congruent)].
6x/6=120/6 [Division P.O.E]
x=20.

Therefore, if x=20, then:
6(20)=120 [Substitution P.O.E.
120=120 [Symmetric P.O.E]

And thus,
x=20
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How many shirts do I have if have a ratio of 2 to 7 with ten pairs of pants
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3 0
3 years ago
60d+65n=2800<br> 50d+45n=2150
Bad White [126]
From the second equation we can find that d=43-(9/10)*n
we can put this equation into the first one,
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Solving that we get n=20
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6 0
3 years ago
Arthur is conducting a study on the preferred study options of students from East County College. He randomly selected 32 studen
ELEN [110]

Answer:

D. As the sample size is appropriately large, the margin of error is ±0.15

Step-by-step explanation:

The number of students in the sample, n = 32 students

The percentage of the students that preferred studying abroad, \hat p = 25%

The confidence level for the study = 95%

As a general rule, a sample size of 30 and above are taken as sufficient

The z-value at 95% confidence level, z = 1.96

The margin of error of a proportion formula is given as follows;

M.O.E. =  z^*\times \sqrt{\dfrac{\hat{p} \cdot(1-\hat{p})}{n}}

Therefore, we get;

M.O.E = 1.96\times \sqrt{\dfrac{0.25\times(1-0.25)}{32}} \approx \pm0.15

Therefore, the correct option is that as the sample size is appropriately large, the margin of error is ±0.15.

7 0
3 years ago
Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedro
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F=??
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3 years ago
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