GEOMETRY

Mathematics

1 answer:

Sphinxa [80]3 years ago

4 0

Answer:

See attached

Step-by-step explanation:

a. An altitude
b. An angle bisector
c. A perpendicular bisector
d. A median

x = 6

x = 8.5

RT = 18

x = 81, y = 9
DG = 42

Note. m∠FHG = (x + 9)°, this is what I see. If not then the value of x is incorrect.

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When 2251 voters were polled, 52% said they were voting yes on an initiative measure. find the margin of error and an interval t

expeople1 [14]

The margin of error for a sample proportion is given by
$z_{\alpha/2}\sqrt{ \frac{p(1-p)}{n} }$
where: $z_{\alpha/2}$ is the z score associated with the confidence level, p is the sample prortion and n is the sample size.
We assume a confidence level of 95%, then $z_{\alpha/2}=1.96$
p = 52% = 0.52 and n = 2251

Therefore, margin of error =
$z_{\alpha/2}\sqrt{ \frac{p(1-p)}{n} }= 1.96\times \sqrt{ \frac{0.52(1-0.52)}{2251} } \\ = 1.96\times \sqrt{ \frac{0.52(0.48)}{2251} } = 1.96\times \sqrt{ \frac{0.2496}{2251} } \\ = 1.96\times \sqrt{0.000110884} =1.96\times 0.0105 \\ =0.0206=2.1\%$

The the interval that is likely to contain the true population proportion is between 49.9% and 54.1%.

5 0

3 years ago

Find the volume of the complex figure below.

ikadub [295]

Multiply all the sides

4 0

3 years ago

Read 2 more answers

What is the volume of the cube shown? 112 in 30 in 6 in 2 in

Elenna [48]

Answer:

$11 \frac{25}{64}$

<h3>First answer is correct</h3>

Step-by-step explanation:

$2 \frac{1}{4} \times 2 \frac{1}{4} \times 2 \frac{1}{4} \\ \frac{9}{4} \times \frac{9}{4} \times \frac{9}{4} \\ = \frac{729}{64} \\ = 11 \frac{25}{64} \: \: \: {in}^{3}$