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Mathematics

1 answer:

vovangra [49]4 years ago

7 0

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Erica plotted the three towns closest to her house on a graph with town A

marta [7]

First, determine the distances from the towns.
Town A to Town B: Opposite angle C
d = sqrt ((12 - 7)^2 + (9 - 9)^2)
d = 5
Town B to Town C: Opposite Angle A
d = sqrt ((7 - 1)^2 + (9 - 1)^2)
d = 10
Town A to Town C: Opposite Angle B
d = sqrt (12 - 1)^2 + (9 - 1)^2)
d = 13.6
The angle with largest measure is the one opposite the greatest distance. Thus, the arrangement would be: C, A, B.

8 0

3 years ago

Help me plz i need to do this

Lina20 [59]

Which question do you need answered or both?

5 0

3 years ago

A random sample of 133 people was taken from a very large population. Sixty-five of the people in the sample were females.The st

rjkz [21]

Answer: 0.0433

Step-by-step explanation:

Given: Sample size : n= 133

The number of females in sample = 65

Then the proportion of females : $P=\dfrac{65}{133}$

The formula to calculate the standard error of the proportion is given by :-

$S.E.=\sqrt{\dfrac{P(1-P)}{n}}$

$\Rightarrow S.E.=\sqrt{\dfrac{\dfrac{65}{133}(1-\dfrac{65}{133})}{133}}\\\\\Rightarrow\ \Rightarrow S.E.=0.0433444676341\approx0.0433$

Hence, the standard error of the proportion of females is 0.0433.

6 0

3 years ago

Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

$x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75$

So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$