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const2013 [10]
3 years ago
10

Please help asap its timed ( 28 points)

Mathematics
2 answers:
Lemur [1.5K]3 years ago
7 0

Answer:

137

Step-by-step explanation:

dsp733 years ago
3 0
The relationship between 43° & x is consecutive exterior angles

therefore, both of them added together will equal 180°, or a straight line

so if 43 + x = 180, to find x you would need to subtract 43 from 180 (180-43=x)

180-43=137, so x= 137

the answer is 137°
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Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o
Juliette [100K]

Answer:

95% Confidence interval:  (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)

(31.32%,47.04%)  is the required 95% confidence interval.

8 0
3 years ago
find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utili
Amiraneli [1.4K]
Since 4i is a root, that automatically means -4i is also a root (complex roots always travel in pairs) So the factored form would look like <span>(x+4i)(x−4i).</span> When multiplied out this gives the polynomial <span><span>x2</span>+<span>16.</span></span>
5 0
3 years ago
What is the exact volume of a cylinder whose radius is 8 inches and height is 5 inches
stepan [7]
<span>Cylinder Volume   =   </span><span>π • r² • height
</span><span>Cylinder Volume   =   3.14159265 * 8*8*5
</span>Cylinder Volume   =   <span> <span> <span> 1,005.31 cubic inches </span> </span> </span>

6 0
4 years ago
the surface areas of two similar solids are 1,008cm^2 and 1,372cm^2. the volume of the larger solid is 1,801cm^3. find the volum
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<span>Remember the ratios
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Volume = a^3 : b^3

Hence area ratios are 1008 : 1372
Becomes linear ratios of Sqrt(1008) : sqrt(1372) :: 31.749 : 37.040
Volume ratios becomes 31.749^3 : 37.040^3 :: 32002.96 : 50817.46

Hence

32002.96 / 50817.46 = Vol (S) / 1801 cm^3
Vol(s) = 32002.96 X 1801 / 50817.46 = 1134.20cm^3 ( nearest hundredth).

</span>
8 0
3 years ago
A single numerical value used as an estimate of a population parameter is known as
suter [353]
A point estimate, I believe 
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3 years ago
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