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CaHeK987 [17]
2 years ago
6

Find the solutions to x² = 20.

Mathematics
1 answer:
snow_tiger [21]2 years ago
7 0

Answer:

x = \pm2 \sqrt 5

Step-by-step explanation:

~~~~~~x^2=20\\\\\implies x = \pm\sqrt{20}\\\\\implies x = \pm \sqrt{ 4 \times 5}\\\\\implies x = \pm2 \sqrt 5

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Well have many blueberries does it take to make one lbs?
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Determine the coordinates of the point $P$ on the line $y=-x+6$ such that $P$ is equidistant from the points $A(10,-10)$ and $O(
lidiya [134]

Answer:

P=(3,3)

Step-by-step explanation:

We need to find a point  P in the line y=-x+6 such that PA=P0 where A=(10,-10)

Observe that the coordinates of P are (x,y)=(x,-x+6) because P is in the line.

Then,

PA=P0\\(x,-x+6)(10,-10)=(x,-x+6)(0,0)\\10x+(-x+6)(-10)=0\\10x+10x-60=0\\20x=60\\x=3

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7 0
3 years ago
Rachael got a 550 on the analytical portion of the Graduate Record Exam (GRE). If GRE scores are normally distributed and have m
valina [46]

Answer:

Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population \mu=600

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

\mu=600 represent the population mean for the Graduate Record Exam (GRE)

\sigma=25 represent the population standard deviation for Graduate Record Exam (GRE)

2) Solution to the problem

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X \sim N(600,25)  

Where \mu=600 and \sigma=25

We want to find the z score for a score of 550. And in order to do this we need to apply the formula for the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

z=\frac{550-600}{25}=-2

So the answer for our case would be Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population \mu=600

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3 years ago
What is the equation of a line perpendicular to y= 3x +6 that crosses the ordered pair (3,2).
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Answer:

y=-\frac{1}{3}x+3

Step-by-step explanation:

5 0
2 years ago
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Mariulka [41]
12 - all divisible by it (2*12=24, 3*12=36, 12*5=60)
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