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Zarrin [17]
3 years ago
9

the image of the point (6, 4) under a translation is (4, 7). Find the coordinates of the image of the point (-2, 2) under the sa

me translation.
Mathematics
1 answer:
wolverine [178]3 years ago
8 0

Answer: (-4, 5)

Step-by-step explanation:

Under the same rule of translation, we can determine the coordinates of the image of the point (-2, 2):

(x, y) → (x - 2, y + 3)

(-2, 3) → (-2 - 2 , 2 + 3) → (-4, 5)

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3*4*3-2*4^2 = 36-32 = 4

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A candle burned at a steady rate. After 37 minutes, the candle was 11.2 inches tall. Eighteen minutes later,
irinina [24]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
50 POINTS!PLEASE HELP
Mamont248 [21]

Step-by-step explanation:

For no 1...

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3 years ago
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The length of a rectangle is 12 units longer than the width. The perimeter is 7 times the width. Find the length and the width o
katen-ka-za [31]

Log explanation below; answer is at bottom.

If the length, l, is 12 units longer than the width, w, then w = l - 12. If the perimeter, p,

p = 2l +2w,

is 7 x w, then

w = p/7

When two things are set equal to the same variable, they are equal to each other, so,

l - 12 = p/7

Now you need to get rid of the p so you are only working with one variable. To do this you plug in whatever p is equal to for p, so,

l - 12 = (2l + 2w)/7 now to get rid of the w do the same thing we did with p just for w. So,

l - 12 = (2l + 2(l - 12))/7

To solve this you want to multiply both sides by 7 first to get rid of the fraction.

7l - 84 = 2l + 2(l - 12)

Next you want to distribute the 2 over the l and the 12.

7l - 84 = 2l + 2l - 24

Next you want to combine like terms on each side.

7l - 84 = 4l - 24

Next add 84 and subtract 4l from sides to isolate the variable.

3l = 60

Now divide each side by 11 to get your answer.

l = 20.

To find the width,

w = l - 12  

Just plug in and solve.

w = 20 - 12

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7 0
3 years ago
Since the area under the normal curve within two standard deviations of the mean is 0.95, the area under the normal curve that c
alukav5142 [94]

Answer:

X \sim N (\mu ,\sigma)

And for this case we know this condition:

P(\mu-2\sigma

By the complement rule we know that:

P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05

But since the distribution is symmetrical we know that:

P(X\mu +2\sigma) = 0.025

So then the statement for this case is FALSE.

b. False

Step-by-step explanation:

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".  

Solution to the problem

For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution:

X \sim N (\mu ,\sigma)

And for this case we know this condition:

P(\mu-2\sigma

By the complement rule we know that:

P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05

But since the distribution is symmetrical we know that:

P(X\mu +2\sigma) = 0.025

So then the statement for this case is FALSE.

b. False

5 0
3 years ago
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