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3 years ago

TWO QUESTIONS IN ONE

Mathematics

1 answer:

Brut [27]3 years ago

7 0

Answer:

1. 18 2. 30

Step-by-step explanation:

finding a triangle a=b(base)h(height) 1/2

9 times 4=36/2 =18

the whole thing is 48- the triangle 18=30

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In a 2008 survey, people were asked their opinions on astrology— whether it was very scientific, somewhat scientific, or not at

crimeas [40]

Answer:

95% Confidence interval: (0.0415,0.0647)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1430

Number of people who responded that astrology was very scientific, x = 76

$\hat{p} = \dfrac{x}{n} = \dfrac{76}{1430} = 0.0531$

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:

$0.0531\pm 1.96(\sqrt{\dfrac{0.0531(1-0.0531)}{1430}})\\\\ = 0.0531\pm 0.0116\\=(0.0415,0.0647)$

95% confidence interval for the population portion with this belief: (0.0415,0.0647)

7 0

3 years ago

An avid gardener is putting in a circular flower bed in the middle of their front lawn. They are

iren [92.7K]

Answer:

$335\:\text{ft}$

Step-by-step explanation:

The circumference of a circle is given by $C=2\pi r$ , where $r$ is the radius of the circle. Therefore, we can set up the following equation and solve:

$2\pi r=2107,\\r=\frac{2107}{2\pi},\\r\approx \boxed{335\:\text{ft}}$ (rounded to the nearest foot).

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3 years ago

An 18 in long rebar is driven into the ground until it touches an underground pipe. A backsight to a benchmark with an elevation

WARRIOR [948]

Answer:

398.71 ft

Step-by-step explanation:

Length of rebar = 18 inches = 1.5 ft

Elevation = 393.66 ft

Reading of backsight on Benchmark= 7.56 ft

Rod reading = 1.10 ft

<em>First step : determine height of Instrument been used</em>

= elevation + backsight on Benchmark

= 393.66 + 7.56 = 401.22 ft

<em>Elevation of top of rebar </em>

= 401.22 - 1.01 = 400.21 ft

Finally determine the elevation of the top of the pipe

= 400.21 - length of Bar

= 400.21 - 1.5 = 398.71 ft

6 0

3 years ago

I need help :) please thank you

Sphinxa [80]

Don’t know sorry wanted to help anyway

4 0

3 years ago

Read 2 more answers

Find the value of m angle 3-m<1

emmainna [20.7K]

Answer:

The value of $m\angle 3-m\angle 1$ = $50^{\circ}$

Step-by-step explanation:

Vertical Angle theorem: It is about the angles that are opposite to each other.

Also, vertical angle are congruent that means vertical angles are equal.

In the given figure; $m\angle 3$ and $70^{\circ}$ are vertical angle

then, by vertical angle theorem, $m\angle3 =70^{\circ}$ .

Supplementary angle: the sum of the angles whose measure on the straight line is 180 degree.

From the figure, $70^{\circ}$ , $\angle 1$ and $m\angle 2 =90^{\circ}$ forms a straight line.

then, by the definition of Supplementary angle;

$70^{\circ}+m\angle 1 +m\angle 2=180^{\circ}$

Substituting the value of $m\angle 2 =90^{\circ}$ in above equation:

$70^{\circ}+m\angle 1 + 90^{\circ} =180^{\circ}$ or

$160^{\circ}+m\angle 1=180^{\circ}$

Simplify:

$m\angle 1=180^{\circ}-160^{\circ} =20^{\circ}$

therefore, $m\angle 1= 20^{\circ}$ and $m\angle 3=70^{\circ}$ ,

the value of $m\angle3-m\angle1= 70^{\circ}-20^{\circ} =50^{\circ}$ .

7 0

3 years ago

*TWO QUESTIONS IN ONE*

TWO QUESTIONS IN ONE