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kolbaska11 [484]
2 years ago
15

Please i need help :(

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
7 0

Answer:

37 units

Step-by-step explanation:

\boxed{distance =  \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}  }}

Using the distance formula above,

distance between (15, -17) and (-20, -5)

=  \sqrt{[15 - ( - 20)]^{2}  + [ - 17 - ( - 5)] {}^{2} }  \\  =  \sqrt{(15 + 20)^{2} + ( - 17 + 5)^{2}  }  \\  =  \sqrt{35 ^{2} + ( - 12) {}^{2}  }  \\  =  \sqrt{1225 + 144}  \\  =  \sqrt{1369}  \\  = 37 \: units

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insurance company checks police records on 559 accidents selected at random and notes that teenagers were at the wheel in 91 of
ss7ja [257]

Answer: (13.22\%,\ 19.34\%)

Step-by-step explanation:

Given : Sample space : n= 559

Sample proportion : \hat{p}=\dfrac{91}{559}=0.162790697674\approx0.1628

=16.28\%

Significance level : \alpha= 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

Confidence level for population proportion:-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.1628\pm (1.96)\sqrt{\dfrac{0.1628(1-0.1628)}{559}}\\\\=0.1628\pm0.030604971367\\\\\approx 0.1628\pm0.0306=(0.1322,\ 0.1934)=(13.22\%,\ 19.34\%)

Hence, 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.= (13.22\%,\ 19.34\%)

7 0
3 years ago
What is the sum of 6/7 and 1/2?
Svetllana [295]

The sum of the fraction 6/7 and 1/2 is 19/14

<h3>How to add fractions</h3><h3 />

Given:

sum of 6/7 and 1/2

Sum means addition(+)

= 6/7 + 1/2

The least common denominator is 7 × 2 = 14

= 6/7 + 1/2

= (12+7) / 14

= 19/14

Therefore, the sum of 6/7 and 1/2 is 19/14

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2 years ago
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Answer:

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2 years ago
The formula for the area, a, of a regular polygon in terms of the perimeter of the polygon, p, and the length of the apothem, a,
kotykmax [81]

The equivalent equation that can express the area of a polygon in terms of the perimeter is given by A = P/2

<h3>What is Polygon: </h3>

A closed, two-dimensional object composed of straight lines is called a polygon. Typically names of polygons are based on the polygon's number of sides Like triangles, rectangles, pentagons, etc.  

<h3>Apothem of a polygon: </h3>

a line segment connecting the midpoint of a side to the center of a regular polygon is known as the Apothem of a polygon.

The area of a polygon with Apothem is given by

<h3>          Area = 1/2 × perimeter × apothem </h3>

Here given that

Number of sides of Polygon = 5 sides

Let P be the perimeter

Given the length of the Apothem = a  

By the given formula,

Area of the Polygon, A = (1/2) [P][a]

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Therefore,

The equivalent equation that can express the area of a polygon in terms of the perimeter is given by A = P/2

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4 0
11 months ago
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