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KatRina [158]
2 years ago
7

The height of trapezoid VWXZ is 8 StartRoot 3 EndRoot units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle

theorem to find the length of YX.
Once you you know the length of YX, find the length of the lower base, ZX.
A.14 units
B.10 + 4 StartRoot 3 EndRoot units
C.18 units
D.10 + 8 StartRoot 3 EndRoot units
Mathematics
1 answer:
vredina [299]2 years ago
4 0

Answer:

C. 18 units.

Step-by-step explanation:

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Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage ea
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Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

3 0
2 years ago
A bookstore is hosts the stars from the Harry Potter
shepuryov [24]

Answer:

5985 can fit in the room!

Step-by-step explanation:

1) 150 * 100 = 15000

2) 6 * 6 = 36

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4) 14964 / 2.5 = 5985.6

5) But you can't fit almost half a person inside or create another whole person soo you round down to 5985

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Which statements are true regarding the regular dodecagon? Check all that apply.
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A dodecagon has 12 sides.  That means that the smallest angle of rotational symmetry is 360/12 or 30°.  All of its angles of rotational symmetry will be multiples of 30, including 180°.  135°, since it is not a multiple of 30°, is not a rotational angle for this figure.  The order of °rotational symmetry is 12, as there are 12 sides you can turn this figure to (since it is regular).
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A 0.143-Henry Inductor is connected in series with a variable resistor to a 208-volt 400-cycle source. For what value of capacit
aleksandr82 [10.1K]

Answer:

A.)359.2, B.)2.5 uf

Step-by-step explanation:

E / I = R

208 / 1.04 = 200 ohms

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1 / (2*pi*f*Xc) = c

1 /(6.28*400*159.2) = 2.5 uf

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