3 years ago

Is (- 5, 0) on the circle with the equation (x - 3) ^ 2 + (y + 4) ^ 2 = 74

Mathematics

1 answer:

Kryger [21]3 years ago

4 0

(-5,0) is inside the circle

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How many solutions does the following equation have? 14x + 12] = 0

Marysya12 [62]

Answer:

$x=-\frac{6}{7}$

It has one solution

Step-by-step explanation:

$14x + 12] = 0\\\\14x+12=0\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\14x+12-12=0-12\\\\Simplify\\14x=-12\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{-12}{14}\\\\Simplify\\x=-\frac{6}{7}$

8 0

3 years ago

Help me find Sample variance and standard deviation

AnnZ [28]

First, find the mean. You'll need it to compute the variance.

$\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11$

The variance of the sample is then computed with the formula

$s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5$

The standard deviation is the square root of the variance, so

$s=\sqrt{35.5}\approx5.958$