Find 3 consecutive even numbers where the product of the smaller two numbers is 40 less than the square of the largest number.

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Answer 1

Answer: $3\ consecutive\ even\ numbers:\ 2x,2x+2,2x+4\n\n2x(2x+2)+40=(2x+4)^2\n\n 4x^2+4x+40=4x^2+16x+16\n\n 4x^2-4x^2+4x-16x=16-40\n\n-12x=-24\ \ |:(-12)\n\nx=(24)/(12)=2\n\n2x=2=4\n\n2x+2=6\n\n2x+4=8\n\nNumbers\ are\ 4,6,8.$

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Heather sampled the ages of 50 randomly selected people that frequented a store and obtained a mean of 24. She constructed a 95% confidence interval which was (19.1, 28.9). What is the margin of error?A) 2.5 years B) 4.9 years C) 5 years D) 6.7 years

What is 147 divied by 174?

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Google says " The answer is 0.84" Ok thanks google LOL

The awkward answer would be 0.844

The monthly utility bills in a city are normally distributed with a mean of $121 and a standard deviation of $23. Find the probability that a randomly selected utility bill is between $110 and $130.

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Answer:

Step-by-step explanation:

Applying the formula for normal distribution,

z = (x - u)/s

Where u = mean

s = standard deviation

x = the monthly utility bill in dollars

From the information given,

s = 23

u = 121

The probability that a randomly selected utility bill is between $110 and $130 is expressed as

P(110 lesser than or equal to x lesser than or equal to 130)

For 110

z1 = (110 - 121)/23 = - 11/23

z1 = - 0.4783

Looking at the normal distribution table,

The corresponding z score is 0.3192

For 130

z2 = (130 - 121)/23 = 9/23

z2 = 0.391

Looking at the normal distribution table,

The corresponding z score is 0.65173

P(110 lesser than or equal to x lesser than or equal to 130) = 0.65173 - 0.3192 = 0.33253

Glenn has 450 stamps that are red blue green. 52% are red. He has 3/5 as many green as blue stamps. How many are blue and how many are green.

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Since it is already stated that 52% of the 450 stamps are red (which is 234), the remaining 216 stamps are composed of blue and green stamps only. From there, we can write the equation:

216 = b + g
where: b = blue stamps; g = green stamps

Applying the relation that the green stamps are 3/5 as much as the blue stamps, we can say that g = 3/5 b

Substituting the relation to the equation:
216 = b + 3/5 b
216 = 8/5 b

Dividing both sides by 8/5:
216/ (8/5) = 8/5 b / (8/5)
b = 135.

Going back to the equation and substituting the value of b:
216 = b + g
216 = 135 + g

Subtracting 135 from both sides to get g:
216 - 135 = 135 - 135 + g
g = 81

Therefore, there are 135 blue stamps and 81 green stamps.

Linear equations substitution

Answers

For example, y=x+4 and y=5x+2.
That would mean that x+4=y=5x+2.
Simplify it to x+4=5x+2.
x=5x-2
-4x=-2
x=1/2.
Now, plug x into one of the equations.
y=x+4
y=1/2+4
y=9/2.
Therefore, the POI is (1/2,9/2).

I am a regular polygon. Each of my exterior angles has a measure of 6 and 2/3 degrees. How many sides do I have?

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A polygon is a triangle it has 3 sides.

Find the magnitude of the force needed to accelerate a 220g mass with a⃗ = -0.145m/s2 i^+0.430m/s2 j^.

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Themagnitude of theforce needed to accelerate a 220g mass with a⃗ = -0.145m/s2 i^+0.430m/s2 j^. is 108.6 degrees and is located in the secondquadrant of the Cartesian. I am hoping that this answer has answered all yourqueries about this specific question.

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